"keyword","repo_name","file_path","file_extension","file_size","line_count","content","language" "Cell biology","latchbio/spatialbench","CHANGELOG.md",".md","1136","29","# Changelog ## [Unreleased] ### Fixed #### Graders - Fixed all graders to implement `evaluate_answer()` instead of `evaluate()` to work with the runner's direct answer passing: - `LabelSetJaccardGrader` - `DistributionComparisonGrader` - `MarkerGenePrecisionRecallGrader` - `MarkerGeneSeparationGrader` - `SpatialAdjacencyGrader` - `NumericToleranceGrader` was already correct #### Package - Added `[tool.setuptools.packages.find]` to pyproject.toml to fix ""multiple top-level packages"" error during installation ### Changed #### Evals - Updated `label_set_jaccard` evals to use consistent config format: - `xenium_kidney_typing.json`: Added explicit `cell_types_predicted` field requirement to task - `vizgen_de_temporal.json`: Changed from `ground_truth_marker_sets` to `ground_truth_labels`, updated task to request `cell_types_predicted` - `vizgen_tissue_composition.json`: Changed from `ground_truth_marker_sets` to `ground_truth_labels`, updated task to request `cell_types_predicted` #### Documentation - Changed installation instructions from `pip install spatialbench` to `pip install -e .` in README.md ","Markdown" "Cell biology","latchbio/spatialbench","CONTRIBUTING.md",".md","4496","173","# Contributing to SpatialBench Thank you for your interest in contributing to SpatialBench! This document provides guidelines for creating custom graders and submitting benchmark results. **Note**: This repository contains example evaluations only. The full 98-evaluation benchmark is maintained separately to prevent overfitting. Contact [kenny@latch.bio](mailto:kenny@latch.bio) for information about contributing to the full benchmark. ## Table of Contents 1. [Creating a Custom Grader](#creating-a-custom-grader) 2. [Submitting Benchmark Results](#submitting-benchmark-results) 3. [Code Style](#code-style) ## Full Benchmark Information The complete SpatialBench comprises **98 evaluations** across four platforms: | Technology | Evaluations | |------------------|-------------| | Xenium | 30 | | Vizgen (MERFISH) | 31 | | AtlasXomics | 25 | | Seeker/Curio | 12 | | **Total** | **98** | This repository contains 7 representative examples. The full benchmark is withheld to ensure performance metrics reflect genuine spatial biology capabilities. If none of the built-in graders fit your needs, create a custom one: ### 1. Subclass BinaryGrader ```python from spatialbench.graders.base import BinaryGrader, GraderResult class MyCustomGrader(BinaryGrader): def evaluate_answer(self, agent_answer: dict, config: dict) -> GraderResult: ground_truth = config.get(""ground_truth"") passed = True metrics = {} failures = [] if agent_answer.get(""some_field"") != ground_truth: passed = False failures.append(""Field mismatch"") reasoning = self._format_reasoning(passed, failures) return GraderResult( passed=passed, metrics=metrics, reasoning=reasoning, agent_answer=agent_answer ) def _format_reasoning(self, passed, failures): lines = [] lines.append(f""Custom Grader: {'PASS' if passed else 'FAIL'}"") if failures: lines.append(""Failures:"") for f in failures: lines.append(f"" - {f}"") return ""\n"".join(lines) ``` ### 2. Write Unit Tests ```python def test_custom_grader(): grader = MyCustomGrader() agent_answer = {""some_field"": ""value""} config = {""ground_truth"": ""value""} result = grader.evaluate_answer(agent_answer, config) assert result.passed agent_answer = {""some_field"": ""wrong""} result = grader.evaluate_answer(agent_answer, config) assert not result.passed ``` ### 3. Register Grader Add to `spatialbench/graders/__init__.py`: ```python from spatialbench.graders.my_custom import MyCustomGrader GRADER_REGISTRY = { ... ""my_custom"": MyCustomGrader, } ``` ### 4. Document Add to `docs/graders.md` with: - Description of what it evaluates - Config schema - Example usage - When to use it ### 5. Submit PR Include: - [ ] Grader implementation - [ ] Unit tests - [ ] Documentation in docs/graders.md - [ ] Registry update - [ ] Example evaluation using the grader ## Submitting Benchmark Results Help build the leaderboard by benchmarking your model: ### 1. Run Benchmark ```bash spatialbench batch evals/ --model your-model-name --output results/ ``` ### 2. Generate Summary ```bash spatialbench leaderboard results/ --output summary.json ``` ### 3. Submit PR Include: - [ ] summary.json with results - [ ] Model name and version - [ ] Date of evaluation - [ ] Any relevant notes (hardware, runtime, etc.) ## Code Style ### Python - End files with newlines - No docstrings or comments (per project style) - Use `|` for Union types: `str | None` - Imports at top of file - Use available types (`list`, `dict`) instead of typing module ### JSON - 2-space indentation - No trailing commas - Sorted keys (for ground truth labels) ### Commits - Clear, descriptive commit messages - One logical change per commit - Reference issue numbers when applicable ## Review Process 1. **Automated checks**: Tests and linting must pass 2. **Ground truth review**: Verify analysis is correct and reproducible 3. **Grader review**: Ensure grader logic is sound 4. **Documentation review**: Check clarity and completeness 5. **Approval**: Two maintainer approvals required ## Questions? - Open an issue for questions - Tag maintainers for urgent reviews - Join discussions for design decisions Thank you for contributing to SpatialBench! ","Markdown" "Cell biology","latchbio/spatialbench","spatialbench/__init__.py",".py","408","17","from spatialbench.types import TestCase, TestResult, EvalResult from spatialbench.graders import BinaryGrader, GraderResult, GRADER_REGISTRY from spatialbench.harness import EvalRunner, run_minisweagent_task __version__ = ""0.1.0"" __all__ = [ ""TestCase"", ""TestResult"", ""EvalResult"", ""BinaryGrader"", ""GraderResult"", ""GRADER_REGISTRY"", ""EvalRunner"", ""run_minisweagent_task"", ] ","Python" "Cell biology","latchbio/spatialbench","spatialbench/cli.py",".py","14946","402","import click import json import time from datetime import datetime from pathlib import Path from concurrent.futures import ProcessPoolExecutor, as_completed from spatialbench import EvalRunner, TestCase from spatialbench.harness import run_minisweagent_task, run_claudecode_task, batch_download_datasets def _run_single_eval(eval_file_path, agent, model, keep_workspace, run_id=None): eval_file = Path(eval_file_path) start_time = time.time() if agent == ""minisweagent"": def agent_fn(task_prompt, work_dir): return run_minisweagent_task(task_prompt, work_dir, model_name=model) elif agent == ""claudecode"": def agent_fn(task_prompt, work_dir): return run_claudecode_task(task_prompt, work_dir, model_name=model) else: agent_fn = None try: runner = EvalRunner(eval_file, keep_workspace=keep_workspace, run_id=run_id) result = runner.run(agent_function=agent_fn) duration = time.time() - start_time output = { ""eval"": eval_file.name, ""passed"": result.get(""passed""), ""test_id"": result.get(""test_id""), ""model"": model, ""timestamp"": datetime.utcnow().isoformat() + ""Z"", ""duration_s"": round(duration, 2), } if ""metadata"" in result: output.update(result[""metadata""]) return output except Exception as e: duration = time.time() - start_time return { ""eval"": eval_file.name, ""passed"": False, ""error"": str(e), ""model"": model, ""timestamp"": datetime.utcnow().isoformat() + ""Z"", ""duration_s"": round(duration, 2), } @click.group() @click.version_option(version=""0.1.0"") def main(): pass @main.command() @click.argument(""eval_path"", type=click.Path(exists=True)) @click.option(""--keep-workspace"", is_flag=True, help=""Keep the workspace directory after completion"") @click.option(""--verbose"", ""-v"", is_flag=True, help=""Verbose output"") @click.option(""--agent"", type=click.Choice([""minisweagent"", ""claudecode""]), default=None, help=""Agent to use for evaluation"") @click.option(""--model"", default=None, help=""Model name for agent"") def run(eval_path, keep_workspace, verbose, agent, model): click.echo(f""Running evaluation: {eval_path}"") runner = EvalRunner(eval_path, keep_workspace=keep_workspace) if agent == ""minisweagent"": click.echo(f""Using mini-swe-agent{f' with model: {model}' if model else ''}"") def agent_fn(task_prompt, work_dir): return run_minisweagent_task(task_prompt, work_dir, model_name=model) result = runner.run(agent_function=agent_fn) if result.get(""passed""): click.echo(""\n✓ Evaluation PASSED"") else: click.echo(""\n✗ Evaluation FAILED"") elif agent == ""claudecode"": click.echo(f""Using Claude Code{f' with model: {model}' if model else ''}"") def agent_fn(task_prompt, work_dir): return run_claudecode_task(task_prompt, work_dir, model_name=model) result = runner.run(agent_function=agent_fn) if result.get(""passed""): click.echo(""\n✓ Evaluation PASSED"") else: click.echo(""\n✗ Evaluation FAILED"") else: click.echo(""\nNote: No agent specified."") click.echo(""To integrate with your agent:"") click.echo("" 1. Use EvalRunner programmatically in Python"") click.echo("" 2. Pass agent_function that writes eval_answer.json"") click.echo(""\nExample:"") click.echo("" from spatialbench import EvalRunner"") click.echo("" runner = EvalRunner(eval_path)"") click.echo("" runner.run(agent_function=my_agent)"") click.echo(""\nOr use mini-swe-agent:"") click.echo("" spatialbench run evals/qc/seeker_qc_basic.json --agent minisweagent"") result = runner.run() @main.command() @click.argument(""eval_dir"", type=click.Path(exists=True)) @click.option(""--agent"", type=click.Choice([""minisweagent"", ""claudecode""]), default=None, help=""Agent to use for evaluation"") @click.option(""--model"", default=None, help=""Model name for agent"") @click.option(""--output"", ""-o"", type=click.Path(), help=""Output directory for results"") @click.option(""--parallel"", ""-p"", type=int, default=1, help=""Number of parallel workers"") @click.option(""--keep-workspace"", is_flag=True, help=""Keep workspace after each eval"") def batch(eval_dir, agent, model, output, parallel, keep_workspace): click.echo(f""Running batch evaluations from: {eval_dir}"") run_id = datetime.utcnow().strftime(""%Y%m%d_%H%M%S"") click.echo(f""Run ID: {run_id}"") eval_dir = Path(eval_dir) eval_files = list(eval_dir.rglob(""*.json"")) click.echo(f""\nFound {len(eval_files)} evaluation(s)"") if not eval_files: click.echo(""No evaluation files found!"") return if not agent: click.echo(""\nNote: No agent specified. Use --agent minisweagent to run evaluations."") return click.echo(""\n"" + ""="" * 80) click.echo(""STEP 1: Collecting datasets from all evaluations"") click.echo(""="" * 80) all_uris = set() for eval_file in eval_files: try: eval_data = json.loads(eval_file.read_text()) test_case = TestCase(**eval_data) if test_case.data_node: if isinstance(test_case.data_node, list): all_uris.update(test_case.data_node) else: all_uris.add(test_case.data_node) except Exception as e: click.echo(f""Warning: Failed to parse {eval_file}: {e}"") click.echo(f""Found {len(all_uris)} unique dataset(s) to download"") if all_uris: click.echo(""\n"" + ""="" * 80) click.echo(""STEP 2: Batch downloading datasets"") click.echo(""="" * 80) batch_download_datasets(list(all_uris)) click.echo(""\n"" + ""="" * 80) click.echo(""STEP 3: Running evaluations"") click.echo(""="" * 80) if parallel > 1: click.echo(f""Running {len(eval_files)} evaluations with {parallel} parallel workers\n"") results = [] completed = 0 with ProcessPoolExecutor(max_workers=parallel) as executor: future_to_eval = { executor.submit(_run_single_eval, str(eval_file), agent, model, keep_workspace, run_id): eval_file for eval_file in eval_files } for future in as_completed(future_to_eval): eval_file = future_to_eval[future] completed += 1 try: result = future.result() results.append(result) status = ""✓ PASSED"" if result.get(""passed"") else ""✗ FAILED"" click.echo(f""[{completed}/{len(eval_files)}] {eval_file.name}: {status}"") except Exception as e: click.echo(f""[{completed}/{len(eval_files)}] {eval_file.name}: ✗ ERROR: {e}"") results.append({ ""eval"": eval_file.name, ""passed"": False, ""error"": str(e), }) else: results = [] for i, eval_file in enumerate(eval_files, 1): click.echo(f""\n[{i}/{len(eval_files)}] Running: {eval_file.name}"") click.echo(""-"" * 80) start_time = time.time() try: runner = EvalRunner(eval_file, keep_workspace=keep_workspace, run_id=run_id) if agent == ""minisweagent"": def agent_fn(task_prompt, work_dir): return run_minisweagent_task(task_prompt, work_dir, model_name=model) elif agent == ""claudecode"": def agent_fn(task_prompt, work_dir): return run_claudecode_task(task_prompt, work_dir, model_name=model) else: agent_fn = None result = runner.run(agent_function=agent_fn) duration = time.time() - start_time eval_output = { ""eval"": eval_file.name, ""passed"": result.get(""passed""), ""test_id"": result.get(""test_id""), ""model"": model, ""timestamp"": datetime.utcnow().isoformat() + ""Z"", ""duration_s"": round(duration, 2), } if ""metadata"" in result: eval_output.update(result[""metadata""]) results.append(eval_output) status = ""✓ PASSED"" if result.get(""passed"") else ""✗ FAILED"" click.echo(f""Result: {status}"") except Exception as e: duration = time.time() - start_time click.echo(f""✗ ERROR: {e}"") results.append({ ""eval"": eval_file.name, ""passed"": False, ""error"": str(e), ""model"": model, ""timestamp"": datetime.utcnow().isoformat() + ""Z"", ""duration_s"": round(duration, 2), }) click.echo(""\n"" + ""="" * 80) click.echo(""BATCH RESULTS"") click.echo(""="" * 80) passed = sum(1 for r in results if r.get(""passed"") is True) failed = sum(1 for r in results if r.get(""passed"") is False) errors = sum(1 for r in results if ""error"" in r) durations = [r.get(""duration_s"", 0) for r in results if ""duration_s"" in r] avg_duration = sum(durations) / len(durations) if durations else 0 total_duration = sum(durations) costs = [r.get(""total_cost"", 0) for r in results if r.get(""total_cost"") is not None] total_cost = sum(costs) if costs else None avg_cost = sum(costs) / len(costs) if costs else None steps = [r.get(""n_steps"", 0) for r in results if r.get(""n_steps"") is not None] total_steps = sum(steps) if steps else None avg_steps = sum(steps) / len(steps) if steps else None click.echo(f""Total: {len(results)} evaluations"") click.echo(f""Passed: {passed} ({passed/len(results)*100:.1f}%)"") click.echo(f""Failed: {failed} ({failed/len(results)*100:.1f}%)"") if errors: click.echo(f""Errors: {errors}"") click.echo(f""Average duration: {avg_duration:.1f}s"") click.echo(f""Total duration: {total_duration:.1f}s ({total_duration/60:.1f}m)"") if total_cost is not None: click.echo(f""Total cost: ${total_cost:.4f}"") click.echo(f""Average cost per eval: ${avg_cost:.4f}"") if total_steps is not None: click.echo(f""Total steps: {total_steps}"") click.echo(f""Average steps per eval: {avg_steps:.1f}"") if model: click.echo(f""Model: {model}"") if output: output_path = Path(output) output_path.mkdir(parents=True, exist_ok=True) metadata = { ""model"": model, ""timestamp"": datetime.utcnow().isoformat() + ""Z"", ""eval_dir"": str(eval_dir), ""total_evals"": len(results), ""passed"": passed, ""failed"": failed, ""errors"": errors, ""pass_rate"": round(passed/len(results)*100, 1) if results else 0, ""avg_duration_s"": round(avg_duration, 2), ""total_duration_s"": round(total_duration, 2), } if total_cost is not None: metadata[""total_cost""] = round(total_cost, 4) metadata[""avg_cost_per_eval""] = round(avg_cost, 4) if total_steps is not None: metadata[""total_steps""] = total_steps metadata[""avg_steps_per_eval""] = round(avg_steps, 1) batch_summary = { ""metadata"": metadata, ""results"": results } results_file = output_path / ""batch_results.json"" results_file.write_text(json.dumps(batch_summary, indent=2)) click.echo(f""\nResults saved to: {results_file}"") @main.command() @click.argument(""results_dir"", type=click.Path(exists=True)) @click.option(""--output"", ""-o"", default=""leaderboard.json"", help=""Output file"") def leaderboard(results_dir, output): click.echo(f""Generating leaderboard from: {results_dir}"") click.echo(f""Output: {output}"") click.echo(""\nLeaderboard generation not yet implemented."") click.echo(""Results will be aggregated from batch evaluation runs."") @main.command() @click.argument(""eval_path"", type=click.Path(exists=True)) def validate(eval_path): click.echo(f""Validating evaluation: {eval_path}"") try: eval_path = Path(eval_path) eval_data = json.loads(eval_path.read_text()) required_fields = [""id"", ""task""] missing = [f for f in required_fields if f not in eval_data] if missing: click.echo(f""❌ Missing required fields: {missing}"", err=True) return if ""grader"" in eval_data: grader_type = eval_data[""grader""].get(""type"") from spatialbench.graders import GRADER_REGISTRY if grader_type not in GRADER_REGISTRY: click.echo(f""❌ Unknown grader type: {grader_type}"", err=True) click.echo(f""Available graders: {list(GRADER_REGISTRY.keys())}"") return click.echo(""✓ Validation passed!"") click.echo(f"" ID: {eval_data['id']}"") click.echo(f"" Task: {eval_data['task'][:80]}..."") if ""grader"" in eval_data: click.echo(f"" Grader: {eval_data['grader'].get('type')}"") except json.JSONDecodeError as e: click.echo(f""❌ Invalid JSON: {e}"", err=True) except Exception as e: click.echo(f""❌ Validation error: {e}"", err=True) @main.command(name=""list"") @click.option(""--category"", ""-c"", help=""Filter by category"") def list_evals(category): click.echo(""SpatialBench Evaluations"") click.echo(""="" * 50) from pathlib import Path import os package_dir = Path(__file__).parent.parent evals_dir = package_dir / ""evals"" if not evals_dir.exists(): click.echo(""No evaluations found"") return categories = [""qc"", ""preprocessing"", ""clustering"", ""cell_typing"", ""differential_expression"", ""spatial_analysis""] for cat in categories: if category and cat != category: continue cat_dir = evals_dir / cat if not cat_dir.exists(): continue eval_files = list(cat_dir.glob(""*.json"")) if not eval_files: continue click.echo(f""\n{cat.replace('_', ' ').title()} ({len(eval_files)})"") click.echo(""-"" * 50) for eval_file in sorted(eval_files): try: eval_data = json.loads(eval_file.read_text()) click.echo(f"" • {eval_data['id']}"") except: click.echo(f"" • {eval_file.stem}"") if __name__ == ""__main__"": main() ","Python" "Cell biology","latchbio/spatialbench","spatialbench/types.py",".py","926","26","from pydantic import BaseModel, Field class EvalResult(BaseModel): score: float = Field(ge=0.0, le=1.0, description=""Score from 0.0 to 1.0"") passed: bool = Field(description=""Whether the eval passed"") reasoning: str = Field(description=""Detailed reasoning for the score"") successes: list[str] = Field(description=""List of things the agent did correctly"") failures: list[str] = Field(description=""List of things the agent failed to do or did incorrectly"") class TestCase(BaseModel): id: str task: str data_node: str | list[str] | None = None grader: dict | None = None timeout: int | None = None download_timeout: int | None = None agent_timeout: int | None = None class TestResult(BaseModel): test_id: str conversation_history: list[dict] notebook_state: dict duration_ms: float eval_result: EvalResult | None = None grader_result: dict | None = None ","Python" "Cell biology","latchbio/spatialbench","spatialbench/graders/marker_gene.py",".py","11774","288","from spatialbench.graders.base import BinaryGrader, GraderResult class MarkerGenePrecisionRecallGrader(BinaryGrader): def evaluate_answer(self, agent_answer: dict, config: dict) -> GraderResult: canonical_markers = config.get(""canonical_markers"", []) scoring = config.get(""scoring"", {}) thresholds = scoring.get(""pass_thresholds"", {}) precision_threshold = thresholds.get(""precision_at_k"", 0.60) recall_threshold = thresholds.get(""recall_at_k"", 0.50) if ""top_marker_genes"" not in agent_answer: return GraderResult( passed=False, metrics={}, reasoning=""Agent answer missing required field: top_marker_genes"", agent_answer=agent_answer ) predicted_genes = agent_answer[""top_marker_genes""] if not isinstance(predicted_genes, list): return GraderResult( passed=False, metrics={}, reasoning=f""top_marker_genes must be a list, got {type(predicted_genes).__name__}"", agent_answer=agent_answer ) predicted_genes = [str(g) for g in predicted_genes] k = len(predicted_genes) canonical_set = set(str(gene).lower() for gene in canonical_markers) predicted_set = set(gene.lower() for gene in predicted_genes) true_positives = canonical_set & predicted_set false_positives = predicted_set - canonical_set false_negatives = canonical_set - predicted_set precision_at_k = len(true_positives) / k if k > 0 else 0.0 recall_at_k = len(true_positives) / len(canonical_set) if len(canonical_set) > 0 else 0.0 precision_pass = precision_at_k >= precision_threshold recall_pass = recall_at_k >= recall_threshold passed = precision_pass and recall_pass original_case_map = {gene.lower(): gene for gene in predicted_genes} canonical_case_map = {str(gene).lower(): str(gene) for gene in canonical_markers} true_positive_genes = [original_case_map.get(g, canonical_case_map.get(g, g)) for g in true_positives] false_positive_genes = [original_case_map.get(g, g) for g in false_positives] false_negative_genes = [canonical_case_map.get(g, g) for g in false_negatives] metrics = { ""k"": k, ""precision_at_k"": precision_at_k, ""recall_at_k"": recall_at_k, ""precision_threshold"": precision_threshold, ""recall_threshold"": recall_threshold, ""true_positives"": sorted(true_positive_genes), ""false_positives"": sorted(false_positive_genes), ""false_negatives"": sorted(false_negative_genes), ""num_true_positives"": len(true_positives), ""num_false_positives"": len(false_positives), ""num_false_negatives"": len(false_negatives), ""num_canonical_markers"": len(canonical_set), ""precision_pass"": precision_pass, ""recall_pass"": recall_pass, } reasoning = self._format_precision_recall_reasoning( k, precision_at_k, recall_at_k, precision_threshold, recall_threshold, true_positive_genes, false_positive_genes, false_negative_genes, precision_pass, recall_pass, passed ) return GraderResult( passed=passed, metrics=metrics, reasoning=reasoning, agent_answer=agent_answer ) def _format_precision_recall_reasoning(self, k, precision, recall, precision_threshold, recall_threshold, true_positives, false_positives, false_negatives, precision_pass, recall_pass, passed): lines = [] lines.append(f""Marker Gene Precision/Recall: {'PASS' if passed else 'FAIL'}"") lines.append("""") precision_check = ""✓"" if precision_pass else ""✗"" lines.append(f""Precision@{k}: {precision:.3f} {precision_check} (threshold: {precision_threshold:.3f})"") recall_check = ""✓"" if recall_pass else ""✗"" lines.append(f""Recall@{k}: {recall:.3f} {recall_check} (threshold: {recall_threshold:.3f})"") lines.append("""") lines.append(f""True Positives ({len(true_positives)}):"") if true_positives: for gene in sorted(true_positives): lines.append(f"" ✓ {gene}"") else: lines.append("" None"") lines.append("""") lines.append(f""False Positives ({len(false_positives)}):"") if false_positives: for gene in sorted(false_positives): lines.append(f"" + {gene}"") else: lines.append("" None"") lines.append("""") lines.append(f""False Negatives ({len(false_negatives)}):"") if false_negatives: for gene in sorted(false_negatives): lines.append(f"" - {gene}"") else: lines.append("" None"") lines.append("""") lines.append(f""Result: {'PASS' if passed else 'FAIL'}"") if not passed: failures = [] if not precision_pass: failures.append(f""Precision {precision:.3f} < {precision_threshold:.3f}"") if not recall_pass: failures.append(f""Recall {recall:.3f} < {recall_threshold:.3f}"") lines.append(f""Reasons: {'; '.join(failures)}"") return ""\n"".join(lines) class MarkerGeneSeparationGrader(BinaryGrader): def evaluate_answer(self, agent_answer: dict, config: dict) -> GraderResult: scoring = config.get(""scoring"", {}) thresholds = scoring.get(""pass_thresholds"", {}) mean_auroc_threshold = thresholds.get(""mean_auroc"", 0.85) fraction_high_threshold = thresholds.get(""fraction_high"", 0.70) per_gene_cutoff = thresholds.get(""per_gene_cutoff"", 0.80) if ""per_gene_stats"" not in agent_answer: return GraderResult( passed=False, metrics={}, reasoning=""Agent answer missing required field: per_gene_stats"", agent_answer=agent_answer ) if ""mean_auroc"" not in agent_answer: return GraderResult( passed=False, metrics={}, reasoning=""Agent answer missing required field: mean_auroc"", agent_answer=agent_answer ) per_gene_stats = agent_answer[""per_gene_stats""] agent_mean_auroc = agent_answer[""mean_auroc""] if not isinstance(per_gene_stats, list): return GraderResult( passed=False, metrics={}, reasoning=""per_gene_stats must be a list"", agent_answer=agent_answer ) num_genes = len(per_gene_stats) if num_genes == 0: return GraderResult( passed=False, metrics={}, reasoning=""per_gene_stats is empty"", agent_answer=agent_answer ) gene_aurocs = {} for stat in per_gene_stats: if not isinstance(stat, dict): return GraderResult( passed=False, metrics={}, reasoning=""Each element in per_gene_stats must be a dict with 'gene' and 'auroc'"", agent_answer=agent_answer ) if ""gene"" not in stat or ""auroc"" not in stat: return GraderResult( passed=False, metrics={}, reasoning=""Each element in per_gene_stats must have 'gene' and 'auroc' fields"", agent_answer=agent_answer ) gene_aurocs[stat[""gene""]] = stat[""auroc""] computed_mean_auroc = sum(gene_aurocs.values()) / len(gene_aurocs) high_auroc_genes = [gene for gene, auroc in gene_aurocs.items() if auroc >= per_gene_cutoff] low_auroc_genes = [gene for gene, auroc in gene_aurocs.items() if auroc < per_gene_cutoff] fraction_high = len(high_auroc_genes) / num_genes mean_auroc_pass = agent_mean_auroc >= mean_auroc_threshold fraction_high_pass = fraction_high >= fraction_high_threshold passed = mean_auroc_pass and fraction_high_pass metrics = { ""num_genes"": num_genes, ""mean_auroc_agent"": agent_mean_auroc, ""mean_auroc_computed"": computed_mean_auroc, ""mean_auroc_threshold"": mean_auroc_threshold, ""fraction_high"": fraction_high, ""fraction_high_threshold"": fraction_high_threshold, ""per_gene_cutoff"": per_gene_cutoff, ""num_high_auroc_genes"": len(high_auroc_genes), ""num_low_auroc_genes"": len(low_auroc_genes), ""high_auroc_genes"": sorted(high_auroc_genes), ""low_auroc_genes"": sorted(low_auroc_genes), ""mean_auroc_pass"": mean_auroc_pass, ""fraction_high_pass"": fraction_high_pass, ""per_gene_aurocs"": gene_aurocs, } reasoning = self._format_separation_reasoning( num_genes, agent_mean_auroc, computed_mean_auroc, mean_auroc_threshold, fraction_high, fraction_high_threshold, per_gene_cutoff, gene_aurocs, high_auroc_genes, low_auroc_genes, mean_auroc_pass, fraction_high_pass, passed ) return GraderResult( passed=passed, metrics=metrics, reasoning=reasoning, agent_answer=agent_answer ) def _format_separation_reasoning(self, num_genes, agent_mean, computed_mean, mean_threshold, fraction_high, fraction_threshold, per_gene_cutoff, gene_aurocs, high_genes, low_genes, mean_pass, fraction_pass, passed): lines = [] lines.append(f""Marker Gene Separation: {'PASS' if passed else 'FAIL'}"") lines.append("""") mean_check = ""✓"" if mean_pass else ""✗"" lines.append(f""Mean AUROC: {agent_mean:.3f} {mean_check} (threshold: {mean_threshold:.3f})"") fraction_check = ""✓"" if fraction_pass else ""✗"" lines.append(f""Fraction High AUROC (≥{per_gene_cutoff:.2f}): {fraction_high:.3f} ({len(high_genes)}/{num_genes}) {fraction_check} (threshold: {fraction_threshold:.3f})"") lines.append("""") lines.append(""Per-gene AUROC scores:"") for gene in sorted(gene_aurocs.keys(), key=lambda g: gene_aurocs[g], reverse=True): auroc = gene_aurocs[gene] check = ""✓"" if auroc >= per_gene_cutoff else ""✗"" lines.append(f"" {check} {gene}: {auroc:.3f}"") if abs(agent_mean - computed_mean) > 0.001: lines.append("""") lines.append(f""Note: Agent reported mean {agent_mean:.3f}, computed mean is {computed_mean:.3f}"") lines.append("""") lines.append(f""Result: {'PASS' if passed else 'FAIL'}"") if not passed: failures = [] if not mean_pass: failures.append(f""Mean AUROC {agent_mean:.3f} < {mean_threshold:.3f}"") if not fraction_pass: failures.append(f""Fraction high {fraction_high:.3f} < {fraction_threshold:.3f}"") lines.append(f""Reasons: {'; '.join(failures)}"") return ""\n"".join(lines) ","Python" "Cell biology","latchbio/spatialbench","spatialbench/graders/distribution.py",".py","5539","131","from spatialbench.graders.base import BinaryGrader, GraderResult class DistributionComparisonGrader(BinaryGrader): def evaluate_answer(self, agent_answer: dict, config: dict) -> GraderResult: ground_truth = config.get(""ground_truth"", {}) tolerances = config.get(""tolerances"", {}) gt_total_cells = ground_truth.get(""total_cells"") gt_distribution = ground_truth.get(""cell_type_distribution"", {}) total_cells_tolerance = tolerances.get(""total_cells"", {}) pct_tolerance_config = tolerances.get(""cell_type_percentages"", {}) pct_tolerance = pct_tolerance_config.get(""value"", 3.0) if ""cell_type_distribution"" not in agent_answer: return GraderResult( passed=False, metrics={}, reasoning=""Agent answer missing required field: cell_type_distribution"", agent_answer=agent_answer ) agent_total_cells = agent_answer.get(""total_cells"") agent_distribution = agent_answer[""cell_type_distribution""] metrics = {} all_pass = True failures = [] if gt_total_cells is not None and agent_total_cells is not None: total_cells_tol_value = total_cells_tolerance.get(""value"", 0) total_cells_diff = abs(agent_total_cells - gt_total_cells) total_cells_pass = total_cells_diff <= total_cells_tol_value metrics[""total_cells_actual""] = agent_total_cells metrics[""total_cells_expected""] = gt_total_cells metrics[""total_cells_diff""] = total_cells_diff metrics[""total_cells_pass""] = total_cells_pass if not total_cells_pass: all_pass = False failures.append(f""total_cells: {agent_total_cells} vs {gt_total_cells} (diff: {total_cells_diff}, tolerance: {total_cells_tol_value})"") distribution_failures = [] for cell_type, expected_pct in gt_distribution.items(): if cell_type not in agent_distribution: all_pass = False failures.append(f""Missing cell type: {cell_type}"") distribution_failures.append(cell_type) metrics[f""{cell_type}_actual""] = None metrics[f""{cell_type}_expected""] = expected_pct metrics[f""{cell_type}_diff""] = None metrics[f""{cell_type}_pass""] = False continue actual_pct = agent_distribution[cell_type] diff = abs(actual_pct - expected_pct) within_tolerance = diff <= pct_tolerance metrics[f""{cell_type}_actual""] = actual_pct metrics[f""{cell_type}_expected""] = expected_pct metrics[f""{cell_type}_diff""] = diff metrics[f""{cell_type}_pass""] = within_tolerance if not within_tolerance: all_pass = False failures.append(f""{cell_type}: {actual_pct:.4f}% vs {expected_pct:.4f}% (diff: {diff:.4f}%, tolerance: {pct_tolerance}%)"") distribution_failures.append(cell_type) extra_types = set(agent_distribution.keys()) - set(gt_distribution.keys()) if extra_types: metrics[""extra_cell_types""] = sorted(list(extra_types)) failures.append(f""Extra cell types not in ground truth: {sorted(list(extra_types))}"") reasoning = self._format_distribution_reasoning( agent_total_cells, gt_total_cells, metrics.get(""total_cells_pass"", True), gt_distribution, agent_distribution, pct_tolerance, distribution_failures, extra_types, failures, all_pass ) return GraderResult( passed=all_pass, metrics=metrics, reasoning=reasoning, agent_answer=agent_answer ) def _format_distribution_reasoning(self, agent_total, gt_total, total_pass, gt_distribution, agent_distribution, pct_tolerance, distribution_failures, extra_types, failures, passed): lines = [] lines.append(f""Distribution Comparison: {'PASS' if passed else 'FAIL'}"") lines.append("""") if gt_total is not None and agent_total is not None: total_check = ""✓"" if total_pass else ""✗"" lines.append(f""Total cells: {agent_total} vs {gt_total} {total_check}"") lines.append("""") lines.append(f""Cell type percentages (tolerance: ±{pct_tolerance}%):"") for cell_type in sorted(gt_distribution.keys()): expected = gt_distribution[cell_type] if cell_type not in agent_distribution: lines.append(f"" ✗ {cell_type}: MISSING vs {expected:.4f}%"") else: actual = agent_distribution[cell_type] diff = abs(actual - expected) within_tol = diff <= pct_tolerance check = ""✓"" if within_tol else ""✗"" lines.append(f"" {check} {cell_type}: {actual:.4f}% vs {expected:.4f}% (diff: {diff:.4f}%)"") if extra_types: lines.append("""") lines.append(f""Extra cell types (not in ground truth): {sorted(list(extra_types))}"") if not passed: lines.append("""") lines.append(""Failures:"") for failure in failures: lines.append(f"" - {failure}"") return ""\n"".join(lines) ","Python" "Cell biology","latchbio/spatialbench","spatialbench/graders/numeric.py",".py","5052","109","from spatialbench.graders.base import BinaryGrader, GraderResult class NumericToleranceGrader(BinaryGrader): def evaluate_answer(self, agent_answer: dict, config: dict) -> GraderResult: ground_truth = config.get(""ground_truth"", {}) tolerances = config.get(""tolerances"", {}) metrics = {} all_pass = True failures = [] for field, expected_value in ground_truth.items(): if field not in agent_answer: all_pass = False failures.append(f""Missing field: {field}"") continue actual_value = agent_answer[field] if actual_value is None: all_pass = False failures.append(f""{field}: got null/None value"") metrics[f""{field}_actual""] = None metrics[f""{field}_expected""] = expected_value metrics[f""{field}_error""] = float('inf') metrics[f""{field}_pass""] = False continue tolerance_config = tolerances.get(field, {""type"": ""absolute"", ""value"": 0}) tolerance_type = tolerance_config.get(""type"", ""absolute"") tolerance_value = tolerance_config.get(""value"", 0) try: if tolerance_type == ""absolute"": within_tolerance = abs(actual_value - expected_value) <= tolerance_value error = abs(actual_value - expected_value) elif tolerance_type == ""relative"": relative_error = abs(actual_value - expected_value) / abs(expected_value) if expected_value != 0 else float('inf') within_tolerance = relative_error <= tolerance_value error = relative_error elif tolerance_type == ""min"": within_tolerance = actual_value >= expected_value error = expected_value - actual_value if actual_value < expected_value else 0 elif tolerance_type == ""max"": within_tolerance = actual_value <= expected_value error = actual_value - expected_value if actual_value > expected_value else 0 else: within_tolerance = False error = float('inf') except TypeError: all_pass = False failures.append(f""{field}: invalid type {type(actual_value).__name__}, expected numeric"") metrics[f""{field}_actual""] = actual_value metrics[f""{field}_expected""] = expected_value metrics[f""{field}_error""] = float('inf') metrics[f""{field}_pass""] = False continue metrics[f""{field}_actual""] = actual_value metrics[f""{field}_expected""] = expected_value metrics[f""{field}_error""] = error metrics[f""{field}_pass""] = within_tolerance if not within_tolerance: all_pass = False if tolerance_type == ""min"": failures.append(f""{field}: {actual_value} (minimum required: {expected_value})"") elif tolerance_type == ""max"": failures.append(f""{field}: {actual_value} (maximum allowed: {expected_value})"") else: failures.append(f""{field}: {actual_value} vs {expected_value} (error: {error:.2f}, tolerance: {tolerance_value})"") reasoning = self._format_numeric_reasoning(ground_truth, tolerances, agent_answer, metrics, failures, all_pass) return GraderResult( passed=all_pass, metrics=metrics, reasoning=reasoning, agent_answer=agent_answer ) def _format_numeric_reasoning(self, ground_truth, tolerances, agent_answer, metrics, failures, passed): lines = [] lines.append(f""Numeric Tolerance Check: {'PASS' if passed else 'FAIL'}"") lines.append("""") for field in ground_truth.keys(): if f""{field}_actual"" in metrics: actual = metrics[f""{field}_actual""] expected = metrics[f""{field}_expected""] error = metrics[f""{field}_error""] field_pass = metrics[f""{field}_pass""] check = ""✓"" if field_pass else ""✗"" tolerance_config = tolerances.get(field, {}) tolerance_type = tolerance_config.get(""type"", ""absolute"") if tolerance_type == ""min"": lines.append(f""- {field}: {actual} (minimum: {expected}) {check}"") elif tolerance_type == ""max"": lines.append(f""- {field}: {actual} (maximum: {expected}) {check}"") else: lines.append(f""- {field}: {actual} vs {expected} (error: {error:.2f}) {check}"") if not passed: lines.append("""") lines.append(""Failures:"") for failure in failures: lines.append(f"" - {failure}"") return ""\n"".join(lines) ","Python" "Cell biology","latchbio/spatialbench","spatialbench/graders/label_set.py",".py","3309","92","from spatialbench.graders.base import BinaryGrader, GraderResult class LabelSetJaccardGrader(BinaryGrader): def evaluate_answer(self, agent_answer: dict, config: dict) -> GraderResult: ground_truth_labels = set(config.get(""ground_truth_labels"", [])) scoring = config.get(""scoring"", {}) pass_threshold = scoring.get(""pass_threshold"", 0.90) if ""cell_types_predicted"" not in agent_answer: return GraderResult( passed=False, metrics={}, reasoning=""Agent answer missing required field: cell_types_predicted"", agent_answer=agent_answer ) predicted_labels = set(agent_answer[""cell_types_predicted""]) intersection = ground_truth_labels & predicted_labels union = ground_truth_labels | predicted_labels jaccard_index = len(intersection) / len(union) if len(union) > 0 else 0.0 passed = jaccard_index >= pass_threshold true_positives = intersection false_positives = predicted_labels - ground_truth_labels false_negatives = ground_truth_labels - predicted_labels metrics = { ""jaccard_index"": jaccard_index, ""pass_threshold"": pass_threshold, ""true_positives"": sorted(list(true_positives)), ""false_positives"": sorted(list(false_positives)), ""false_negatives"": sorted(list(false_negatives)), ""predicted_count"": len(predicted_labels), ""ground_truth_count"": len(ground_truth_labels), } reasoning = self._format_jaccard_reasoning( jaccard_index, pass_threshold, true_positives, false_positives, false_negatives, passed ) return GraderResult( passed=passed, metrics=metrics, reasoning=reasoning, agent_answer=agent_answer ) def _format_jaccard_reasoning(self, jaccard_index, threshold, true_positives, false_positives, false_negatives, passed): lines = [] lines.append(f""Label Set Comparison: {'PASS' if passed else 'FAIL'}"") lines.append("""") lines.append(f""Jaccard Index: {jaccard_index:.3f} (threshold: {threshold:.3f}) {'✓' if jaccard_index >= threshold else '✗'}"") lines.append("""") if true_positives: lines.append(f""Correct Labels ({len(true_positives)}):"") for label in sorted(true_positives): lines.append(f"" ✓ {label}"") else: lines.append(""Correct Labels: None"") lines.append("""") if false_positives: lines.append(f""Extra Labels ({len(false_positives)}):"") for label in sorted(false_positives): lines.append(f"" + {label}"") else: lines.append(""Extra Labels: None"") lines.append("""") if false_negatives: lines.append(f""Missing Labels ({len(false_negatives)}):"") for label in sorted(false_negatives): lines.append(f"" - {label}"") else: lines.append(""Missing Labels: None"") lines.append("""") lines.append(f""Result: {'PASS' if passed else 'FAIL'}"") return ""\n"".join(lines) ","Python" "Cell biology","latchbio/spatialbench","spatialbench/graders/multiple_choice.py",".py","1432","44","from spatialbench.graders.base import BinaryGrader, GraderResult class MultipleChoiceGrader(BinaryGrader): def evaluate_answer(self, agent_answer: dict, config: dict) -> GraderResult: correct_answer = config.get(""correct_answer"", """").strip().upper() if ""answer"" not in agent_answer: return GraderResult( passed=False, metrics={}, reasoning=""Agent answer missing required field: answer"", agent_answer=agent_answer ) agent_choice = str(agent_answer[""answer""]).strip().upper() passed = agent_choice == correct_answer metrics = { ""correct_answer"": correct_answer, ""agent_answer"": agent_choice, } reasoning = self._format_reasoning(correct_answer, agent_choice, passed) return GraderResult( passed=passed, metrics=metrics, reasoning=reasoning, agent_answer=agent_answer ) def _format_reasoning(self, correct, agent, passed): lines = [] lines.append(f""Multiple Choice: {'PASS' if passed else 'FAIL'}"") lines.append("""") if passed: lines.append(f""✓ Agent answered: {agent} (correct)"") else: lines.append(f""✗ Agent answered: {agent}"") lines.append(f"" Correct answer: {correct}"") return ""\n"".join(lines) ","Python" "Cell biology","latchbio/spatialbench","spatialbench/graders/__init__.py",".py","1214","31","from spatialbench.graders.base import BinaryGrader, GraderResult from spatialbench.graders.numeric import NumericToleranceGrader from spatialbench.graders.label_set import LabelSetJaccardGrader from spatialbench.graders.distribution import DistributionComparisonGrader from spatialbench.graders.marker_gene import MarkerGenePrecisionRecallGrader, MarkerGeneSeparationGrader from spatialbench.graders.spatial import SpatialAdjacencyGrader from spatialbench.graders.multiple_choice import MultipleChoiceGrader GRADER_REGISTRY = { ""numeric_tolerance"": NumericToleranceGrader, ""label_set_jaccard"": LabelSetJaccardGrader, ""distribution_comparison"": DistributionComparisonGrader, ""marker_gene_precision_recall"": MarkerGenePrecisionRecallGrader, ""marker_gene_separation"": MarkerGeneSeparationGrader, ""spatial_adjacency"": SpatialAdjacencyGrader, ""multiple_choice"": MultipleChoiceGrader, } __all__ = [ ""BinaryGrader"", ""GraderResult"", ""NumericToleranceGrader"", ""LabelSetJaccardGrader"", ""DistributionComparisonGrader"", ""MarkerGenePrecisionRecallGrader"", ""MarkerGeneSeparationGrader"", ""SpatialAdjacencyGrader"", ""MultipleChoiceGrader"", ""GRADER_REGISTRY"", ] ","Python" "Cell biology","latchbio/spatialbench","spatialbench/graders/base.py",".py","1928","50","import json import re from dataclasses import dataclass from spatialbench.types import TestResult @dataclass class GraderResult: passed: bool metrics: dict reasoning: str agent_answer: dict | None class BinaryGrader: def evaluate(self, test_result: TestResult, config: dict) -> GraderResult: agent_answer = self.extract_answer_from_tags(test_result.conversation_history) if agent_answer is None: return GraderResult( passed=False, metrics={}, reasoning=""Failed to extract answer from conversation history"", agent_answer=None ) return self.evaluate_answer(agent_answer, config) def evaluate_answer(self, agent_answer: dict, config: dict) -> GraderResult: raise NotImplementedError def extract_answer_from_tags(self, conversation: list[dict]) -> dict | None: for msg in reversed(conversation): if msg.get(""type"") != ""anthropic_message"" or msg.get(""role"") != ""assistant"": continue content = msg.get(""content"", []) for block in content: if isinstance(block, dict) and block.get(""type"") == ""tool_use"": if block.get(""name"") == ""submit_response"": tool_input = block.get(""input"", {}) summary = tool_input.get(""summary"", """") match = re.search(r'(.*?)', summary, re.DOTALL) if match: json_str = match.group(1).strip() try: return json.loads(json_str) except json.JSONDecodeError as e: print(f""[grader] Failed to parse JSON from EVAL_ANSWER tags: {e}"") return None return None ","Python" "Cell biology","latchbio/spatialbench","spatialbench/graders/spatial.py",".py","5338","126","from spatialbench.graders.base import BinaryGrader, GraderResult class SpatialAdjacencyGrader(BinaryGrader): def evaluate_answer(self, agent_answer: dict, config: dict) -> GraderResult: scoring = config.get(""scoring"", {}) thresholds = scoring.get(""pass_thresholds"", {}) max_median_ic_to_pc = thresholds.get(""max_median_ic_to_pc_um"", 25.0) max_p90_ic_to_pc = thresholds.get(""max_p90_ic_to_pc_um"", 80.0) min_pct_within_15um = thresholds.get(""min_pct_ic_within_15um"", 60.0) min_pct_mixed_within_55um = thresholds.get(""min_pct_ic_mixed_within_55um"", 60.0) required_fields = [ ""median_ic_to_pc_um"", ""p90_ic_to_pc_um"", ""pct_ic_within_15um"", ""pct_ic_mixed_within_55um"", ""adjacency_pass"" ] missing = [f for f in required_fields if f not in agent_answer] if missing: return GraderResult( passed=False, metrics={}, reasoning=f""Agent answer missing required fields: {missing}"", agent_answer=agent_answer ) median_ic_to_pc = agent_answer[""median_ic_to_pc_um""] p90_ic_to_pc = agent_answer[""p90_ic_to_pc_um""] pct_within_15um = agent_answer[""pct_ic_within_15um""] pct_mixed_within_55um = agent_answer[""pct_ic_mixed_within_55um""] adjacency_pass = agent_answer[""adjacency_pass""] median_pass = median_ic_to_pc <= max_median_ic_to_pc p90_pass = p90_ic_to_pc <= max_p90_ic_to_pc within_15um_pass = pct_within_15um >= min_pct_within_15um mixed_55um_pass = pct_mixed_within_55um >= min_pct_mixed_within_55um passed = median_pass and p90_pass and within_15um_pass and mixed_55um_pass and adjacency_pass metrics = { ""median_ic_to_pc_um"": median_ic_to_pc, ""p90_ic_to_pc_um"": p90_ic_to_pc, ""pct_ic_within_15um"": pct_within_15um, ""pct_ic_mixed_within_55um"": pct_mixed_within_55um, ""adjacency_pass"": adjacency_pass, ""max_median_threshold"": max_median_ic_to_pc, ""max_p90_threshold"": max_p90_ic_to_pc, ""min_pct_15um_threshold"": min_pct_within_15um, ""min_pct_55um_threshold"": min_pct_mixed_within_55um, ""median_pass"": median_pass, ""p90_pass"": p90_pass, ""within_15um_pass"": within_15um_pass, ""mixed_55um_pass"": mixed_55um_pass, } reasoning = self._format_spatial_adjacency_reasoning( median_ic_to_pc, p90_ic_to_pc, pct_within_15um, pct_mixed_within_55um, adjacency_pass, max_median_ic_to_pc, max_p90_ic_to_pc, min_pct_within_15um, min_pct_mixed_within_55um, median_pass, p90_pass, within_15um_pass, mixed_55um_pass, passed ) return GraderResult( passed=passed, metrics=metrics, reasoning=reasoning, agent_answer=agent_answer ) def _format_spatial_adjacency_reasoning(self, median_dist, p90_dist, pct_15um, pct_55um, adjacency_pass, max_median, max_p90, min_15um, min_55um, median_pass, p90_pass, within_15_pass, mixed_55_pass, passed): lines = [] lines.append(f""Spatial Adjacency Analysis: {'PASS' if passed else 'FAIL'}"") lines.append("""") lines.append(""IC→PC Distance Metrics:"") median_check = ""✓"" if median_pass else ""✗"" lines.append(f"" {median_check} Median distance: {median_dist:.2f} µm (threshold: ≤{max_median:.2f} µm)"") p90_check = ""✓"" if p90_pass else ""✗"" lines.append(f"" {p90_check} 90th percentile: {p90_dist:.2f} µm (threshold: ≤{max_p90:.2f} µm)"") lines.append("""") lines.append(""IC Proximity to PC:"") within_15_check = ""✓"" if within_15_pass else ""✗"" lines.append(f"" {within_15_check} IC within 15 µm: {pct_15um:.1f}% (threshold: ≥{min_15um:.1f}%)"") mixed_55_check = ""✓"" if mixed_55_pass else ""✗"" lines.append(f"" {mixed_55_check} IC with PC within 55 µm: {pct_55um:.1f}% (threshold: ≥{min_55um:.1f}%)"") lines.append("""") adjacency_check = ""✓"" if adjacency_pass else ""✗"" lines.append(f""Agent adjacency assessment: {adjacency_check} {adjacency_pass}"") lines.append("""") lines.append(f""Result: {'PASS' if passed else 'FAIL'}"") if not passed: failures = [] if not median_pass: failures.append(f""Median {median_dist:.2f} > {max_median:.2f} µm"") if not p90_pass: failures.append(f""P90 {p90_dist:.2f} > {max_p90:.2f} µm"") if not within_15_pass: failures.append(f""Within 15 µm {pct_15um:.1f}% < {min_15um:.1f}%"") if not mixed_55_pass: failures.append(f""Within 55 µm {pct_55um:.1f}% < {min_55um:.1f}%"") if not adjacency_pass: failures.append(""Agent marked adjacency_pass as false"") lines.append(f""Reasons: {'; '.join(failures)}"") return ""\n"".join(lines) ","Python" "Cell biology","latchbio/spatialbench","spatialbench/harness/minisweagent.py",".py","8628","253","import io import json import os import re import signal import subprocess import sys from pathlib import Path OPERATION_TIMEOUT = 300 EVAL_TIMEOUT = 600 class AgentTimeoutError(Exception): pass def _timeout_handler(signum, frame): raise AgentTimeoutError(""Agent exceeded time limit"") class StreamingLogFile: def __init__(self, file_path): self.file_path = file_path self.buffer = io.StringIO() def write(self, data): self.buffer.write(data) with open(self.file_path, 'a') as f: f.write(data) f.flush() def flush(self): pass def getvalue(self): return self.buffer.getvalue() def _patch_agent_for_progress(log_file, agent_class): original_add_message = agent_class.add_message def patched_add_message(self, role, content, **kwargs): original_add_message(self, role, content, **kwargs) with open(log_file, 'a') as f: if role == ""assistant"": step_num = len([m for m in self.messages if m.get(""role"") == ""assistant""]) f.write(f""\n[Step {step_num}]\n"") f.write(f""Assistant: {content}\n"") elif role == ""user"" and len(self.messages) > 2: f.write(f""Observation: {content}\n"") f.flush() agent_class.add_message = patched_add_message def run_minisweagent_task( task_prompt: str, work_dir: Path, model_name: str | None = None, agent_config: dict | None = None, operation_timeout: int = OPERATION_TIMEOUT, eval_timeout: int = EVAL_TIMEOUT, ) -> dict: from minisweagent.agents.default import DefaultAgent, AgentConfig, FormatError from minisweagent.environments.local import LocalEnvironment from minisweagent.models import get_model import re class FlexibleAgent(DefaultAgent): def parse_action(self, response: dict) -> dict: content = response[""content""] actions = re.findall(r""```(?:bash|sh|shell)?\s*\n(.*?)\n?```"", content, re.DOTALL) if len(actions) == 1: return {""action"": actions[0].strip(), **response} raise FormatError(self.render_template(self.config.format_error_template, actions=actions)) def has_finished(self, output: dict): from minisweagent.agents.default import Submitted full_output = output.get(""output"", """") for marker in [""COMPLETE_TASK_AND_SUBMIT_FINAL_OUTPUT"", ""MINI_SWE_AGENT_FINAL_OUTPUT""]: if marker in full_output: idx = full_output.find(marker) rest = full_output[idx + len(marker):].strip() raise Submitted(rest) original_dir = os.getcwd() agent_log_file = work_dir / ""agent_output.log"" _patch_agent_for_progress(agent_log_file, FlexibleAgent) if agent_log_file.exists(): agent_log_file.unlink() captured_output = StreamingLogFile(agent_log_file) original_stdout = sys.stdout original_stderr = sys.stderr class TeeOutput: def __init__(self, *streams): self.streams = streams def write(self, data): for stream in self.streams: stream.write(data) if hasattr(stream, 'flush'): stream.flush() def flush(self): for stream in self.streams: if hasattr(stream, 'flush'): stream.flush() agent = None timed_out = False try: os.chdir(str(work_dir)) sys.stdout = TeeOutput(original_stdout, captured_output) sys.stderr = TeeOutput(original_stderr, captured_output) enhanced_prompt = _enhance_prompt_with_local_files(task_prompt, work_dir) enhanced_prompt += """""" CRITICAL INSTRUCTIONS: 1. Do NOT wrap your code in try/except blocks. Let errors propagate so you can see them and fix them in subsequent steps. 2. You must write eval_answer.json BEFORE printing the completion signal. 3. Correct order: Perform analysis -> Write eval_answer.json -> Print 'COMPLETE_TASK_AND_SUBMIT_FINAL_OUTPUT' as your FINAL line of output."""""" if model_name: os.environ['MSWEA_MODEL_NAME'] = model_name model = get_model() env = LocalEnvironment(timeout=operation_timeout) if agent_config: agent = FlexibleAgent(model, env, step_limit=100, **agent_config) else: agent = FlexibleAgent(model, env, step_limit=100) old_handler = signal.signal(signal.SIGALRM, _timeout_handler) signal.alarm(eval_timeout) try: agent.run(enhanced_prompt) except AgentTimeoutError: timed_out = True print(f""\nAgent timed out after {eval_timeout} seconds"") except Exception as e: if ""Submitted"" in str(type(e).__name__): pass else: raise finally: signal.alarm(0) signal.signal(signal.SIGALRM, old_handler) sys.stdout = original_stdout sys.stderr = original_stderr print(f""Agent output saved to: {agent_log_file}"") if hasattr(agent, ""messages""): trajectory_file = work_dir / ""trajectory.json"" trajectory_data = { ""messages"": agent.messages, ""actions"": getattr(agent, ""actions"", []) } trajectory_file.write_text(json.dumps(trajectory_data, indent=2)) print(f""Agent trajectory saved to: {trajectory_file}"") print(f"" Total message exchanges: {len(agent.messages)}"") eval_answer_file = work_dir / ""eval_answer.json"" agent_answer = None error_details = None if not eval_answer_file.exists(): agent_log_file = work_dir / ""agent_output.log"" log_tail = """" if agent_log_file.exists(): log_content = agent_log_file.read_text() log_tail = log_content[-1000:] trajectory_info = """" if hasattr(agent, ""messages""): trajectory_info = f""Agent had {len(agent.messages)} message exchanges."" error_msg = ""Agent timed out"" if timed_out else ""Agent did not create eval_answer.json"" error_details = { ""error"": error_msg, ""timed_out"": timed_out, ""trajectory_info"": trajectory_info, ""log_tail"": log_tail } print(f""\nWarning: {error_msg}. {trajectory_info}"") else: try: agent_answer = json.loads(eval_answer_file.read_text()) except json.JSONDecodeError as e: error_details = { ""error"": f""Failed to parse eval_answer.json: {e}"", ""file_contents"": eval_answer_file.read_text()[:500] } print(f""\nWarning: Failed to parse eval_answer.json: {e}"") metadata = {} if hasattr(agent, ""model""): metadata[""total_cost""] = getattr(agent.model, ""cost"", None) metadata[""n_steps""] = getattr(agent.model, ""n_calls"", None) if hasattr(agent, ""messages""): metadata[""n_messages""] = len(agent.messages) if timed_out: metadata[""timed_out""] = True metadata[""eval_timeout_seconds""] = eval_timeout if error_details: metadata[""error_details""] = error_details return {""answer"": agent_answer, ""metadata"": metadata} finally: os.chdir(original_dir) def _enhance_prompt_with_local_files(task_prompt: str, work_dir: Path) -> str: contextual_data_match = re.search(r'(.*?)', task_prompt, re.DOTALL) if not contextual_data_match: return task_prompt try: contextual_data = json.loads(contextual_data_match.group(1)) except json.JSONDecodeError: return task_prompt local_files = [] for item in contextual_data: if 'local_path' in item: local_files.append(item['local_path']) if not local_files: return task_prompt file_list = ""\n"".join([f""- {f}"" for f in local_files]) enhancement = f""\n\nThe following data files are available in your current working directory:\n{file_list}\n\nUse these local filenames to access the data.\n"" parts = task_prompt.split('') if len(parts) == 2: return parts[0] + enhancement + '' + parts[1] return task_prompt ","Python" "Cell biology","latchbio/spatialbench","spatialbench/harness/claudecode.py",".py","6573","201","import json import os import subprocess import time from pathlib import Path EVAL_TIMEOUT = 600 MODEL_MAP = { ""anthropic/claude-opus-4-5"": ""opus"", ""anthropic/claude-sonnet-4-5"": ""sonnet"", ""anthropic/claude-sonnet-4"": ""claude-sonnet-4-20250514"", ""anthropic/claude-opus-4"": ""claude-opus-4-20250514"", ""anthropic/claude-haiku-3-5"": ""haiku"", } def run_claudecode_task( task_prompt: str, work_dir: Path, model_name: str | None = None, eval_timeout: int = EVAL_TIMEOUT, ) -> dict: agent_log_file = work_dir / ""agent_output.log"" if agent_log_file.exists(): agent_log_file.unlink() enhanced_prompt = _enhance_prompt_with_local_files(task_prompt, work_dir) enhanced_prompt += """""" CRITICAL: You must write eval_answer.json BEFORE signaling completion. Correct order: 1) Perform analysis 2) Write eval_answer.json with your answer 3) Exit"""""" cmd = [""claude"", ""--print"", ""--dangerously-skip-permissions"", ""--verbose"", ""--output-format"", ""stream-json""] if model_name: claude_model = MODEL_MAP.get(model_name, model_name) cmd.extend([""--model"", claude_model]) run_as_claude_user = os.geteuid() == 0 if run_as_claude_user: import pwd import shutil import stat try: pwd.getpwnam(""claude"") home_dir = Path.home() current_mode = home_dir.stat().st_mode home_dir.chmod(current_mode | stat.S_IXOTH) spatialbench_dir = home_dir / "".spatialbench"" if spatialbench_dir.exists(): shutil.chown(spatialbench_dir, user=""claude"", group=""claude"") for item in spatialbench_dir.rglob(""*""): try: shutil.chown(item, user=""claude"", group=""claude"") except PermissionError: pass except KeyError: run_as_claude_user = False env = os.environ.copy() start_time = time.time() timed_out = False claude_result = None trajectory = [] try: if run_as_claude_user: env_vars = [f""{k}={v}"" for k, v in env.items() if k.endswith(""_API_KEY"")] cmd = [""runuser"", ""-u"", ""claude"", ""--"", ""env""] + env_vars + cmd process = subprocess.Popen( cmd, stdin=subprocess.PIPE, stdout=subprocess.PIPE, stderr=subprocess.PIPE, cwd=str(work_dir), env=env, text=True, ) try: stdout, stderr = process.communicate( input=enhanced_prompt, timeout=eval_timeout ) with open(agent_log_file, 'w') as log_file: log_file.write(stdout) if stderr: log_file.write(f""\n\nSTDERR:\n{stderr}"") for line in stdout.strip().split('\n'): if line: try: event = json.loads(line) trajectory.append(event) if event.get(""type"") == ""result"": claude_result = event except json.JSONDecodeError: pass except subprocess.TimeoutExpired: timed_out = True process.kill() stdout, stderr = process.communicate() with open(agent_log_file, 'w') as log_file: log_file.write(stdout) log_file.write(f""\n\nAgent timed out after {eval_timeout} seconds"") except Exception as e: with open(agent_log_file, 'a') as f: f.write(f""\nError running claude: {e}"") duration = time.time() - start_time print(f""Agent output saved to: {agent_log_file}"") if trajectory: trajectory_file = work_dir / ""trajectory.json"" trajectory_file.write_text(json.dumps(trajectory, indent=2)) print(f""Trajectory saved to: {trajectory_file}"") eval_answer_file = work_dir / ""eval_answer.json"" agent_answer = None error_details = None if not eval_answer_file.exists(): log_tail = """" if agent_log_file.exists(): log_content = agent_log_file.read_text() log_tail = log_content[-1000:] error_msg = ""Agent timed out"" if timed_out else ""Agent did not create eval_answer.json"" error_details = { ""error"": error_msg, ""timed_out"": timed_out, ""log_tail"": log_tail } print(f""\nWarning: {error_msg}"") else: try: agent_answer = json.loads(eval_answer_file.read_text()) except json.JSONDecodeError as e: error_details = { ""error"": f""Failed to parse eval_answer.json: {e}"", ""file_contents"": eval_answer_file.read_text()[:500] } print(f""\nWarning: Failed to parse eval_answer.json: {e}"") metadata = { ""duration_s"": round(duration, 2), ""model"": model_name, } if claude_result: metadata[""total_cost""] = claude_result.get(""total_cost_usd"") metadata[""n_turns""] = claude_result.get(""num_turns"") metadata[""session_id""] = claude_result.get(""session_id"") metadata[""usage""] = claude_result.get(""usage"") if timed_out: metadata[""timed_out""] = True metadata[""eval_timeout_seconds""] = eval_timeout if error_details: metadata[""error_details""] = error_details return {""answer"": agent_answer, ""metadata"": metadata} def _enhance_prompt_with_local_files(task_prompt: str, work_dir: Path) -> str: import re contextual_data_match = re.search( r'(.*?)', task_prompt, re.DOTALL ) if not contextual_data_match: return task_prompt try: contextual_data = json.loads(contextual_data_match.group(1)) except json.JSONDecodeError: return task_prompt local_files = [] for item in contextual_data: if 'local_path' in item: local_files.append(item['local_path']) if not local_files: return task_prompt file_list = ""\n"".join([f""- {f}"" for f in local_files]) enhancement = f""\n\nThe following data files are available in your current working directory:\n{file_list}\n\nUse these local filenames to access the data.\n"" parts = task_prompt.split('') if len(parts) == 2: return parts[0] + enhancement + '' + parts[1] return task_prompt ","Python" "Cell biology","latchbio/spatialbench","spatialbench/harness/__init__.py",".py","415","7","from spatialbench.harness.runner import EvalRunner from spatialbench.harness.utils import download_data, setup_workspace, batch_download_datasets from spatialbench.harness.minisweagent import run_minisweagent_task from spatialbench.harness.claudecode import run_claudecode_task __all__ = [""EvalRunner"", ""download_data"", ""setup_workspace"", ""batch_download_datasets"", ""run_minisweagent_task"", ""run_claudecode_task""] ","Python" "Cell biology","latchbio/spatialbench","spatialbench/harness/runner.py",".py","6042","160","import json from pathlib import Path from spatialbench.types import TestCase, TestResult, EvalResult from spatialbench.graders import GRADER_REGISTRY from spatialbench.harness.utils import download_data, setup_workspace, cleanup_workspace class EvalRunner: def __init__(self, eval_path: str | Path, keep_workspace: bool = False, run_id: str | None = None): self.eval_path = Path(eval_path) self.keep_workspace = keep_workspace self.run_id = run_id if not self.eval_path.exists(): raise FileNotFoundError(f""Eval file not found: {self.eval_path}"") eval_data = json.loads(self.eval_path.read_text()) self.test_case = TestCase(**eval_data) def run(self, agent_function=None): print(""="" * 80) print(f""Running SpatialBench evaluation: {self.test_case.id}"") print(""="" * 80) print(""\nTask:"") print(""-"" * 80) print(self.test_case.task) print(""-"" * 80) work_dir = setup_workspace(self.test_case.id, self.run_id) print(f""\nWorking directory: {work_dir}"") print(""\n"" + ""="" * 80) print(""Staging data files..."") print(""="" * 80) contextual_data = download_data(self.test_case.data_node, work_dir) data_context = """" if contextual_data: data_context = f""\n\nHere is the context of the selected nodes the user would like to use: {json.dumps(contextual_data)}"" task_prompt = f""""""{self.test_case.task} IMPORTANT: When you have completed this task: 1. Write your final answer as a JSON object to a file named `eval_answer.json` 2. The file should contain ONLY the JSON object with the required fields 3. After writing the file, you have completed the task Example eval_answer.json: {{ ""field1"": value1, ""field2"": value2 }} {data_context}"""""" print(""\n"" + ""="" * 80) print(""Running agent on task..."") print(""="" * 80) agent_answer = None agent_metadata = {} if agent_function is None: print(""\nNo agent function provided. To run this eval, pass an agent_function that:"") print("" 1. Takes (task_prompt: str, work_dir: Path) as arguments"") print("" 2. Returns the parsed agent answer dict"") print(f""\nExample:"") print(f"" def my_agent(task, work_dir):"") print(f"" # Run your agent"") print(f"" # Agent should write eval_answer.json to work_dir"") print(f"" answer_file = work_dir / 'eval_answer.json'"") print(f"" return json.loads(answer_file.read_text())"") print(f""\n runner = EvalRunner(eval_path)"") print(f"" runner.run(agent_function=my_agent)"") else: try: result = agent_function(task_prompt, work_dir) if isinstance(result, dict) and ""answer"" in result: agent_answer = result[""answer""] agent_metadata = result.get(""metadata"", {}) else: agent_answer = result print(""\nAgent completed successfully"") except Exception as e: print(f""\nAgent error: {e}"") import traceback traceback.print_exc() eval_answer_path = work_dir / ""eval_answer.json"" if agent_answer is None and eval_answer_path.exists(): try: agent_answer = json.loads(eval_answer_path.read_text()) print(f""Loaded agent answer from eval_answer.json"") except json.JSONDecodeError as e: print(f""Warning: Failed to parse eval_answer.json: {e}"") grader_result = None if self.test_case.grader and agent_answer is not None: print(""\n"" + ""="" * 80) print(""Running grader..."") print(""="" * 80) grader_type = self.test_case.grader.get(""type"") grader_config = self.test_case.grader.get(""config"", {}) if grader_type in GRADER_REGISTRY: grader_cls = GRADER_REGISTRY[grader_type] grader = grader_cls() try: grader_result = grader.evaluate_answer(agent_answer, grader_config) except Exception as e: from spatialbench.graders.base import GraderResult import traceback grader_result = GraderResult( passed=False, metrics={""grader_error"": str(e)}, reasoning=f""Grader failed due to malformed agent output: {e}\n\n{traceback.format_exc()}"", agent_answer=agent_answer ) print(f""\n{'✓ EVAL PASSED' if grader_result.passed else '✗ EVAL FAILED'}"") print(""\nGrader reasoning:"") print(""-"" * 80) print(grader_result.reasoning) print(""-"" * 80) if grader_result.metrics: print(""\nMetrics:"") for key, value in grader_result.metrics.items(): if isinstance(value, (list, dict)): continue print(f"" {key}: {value}"") else: print(f""\nWarning: Unknown grader type '{grader_type}'"") print(""\n"" + ""="" * 80) print(""Cleanup..."") print(""="" * 80) cleanup_workspace(work_dir, keep=self.keep_workspace) if self.keep_workspace: print(f""\nTo inspect results:"") print(f"" cd {work_dir}"") result_dict = { ""test_id"": self.test_case.id, ""agent_answer"": agent_answer, ""grader_result"": grader_result, ""passed"": grader_result.passed if grader_result else None, } if agent_metadata: result_dict[""metadata""] = agent_metadata return result_dict ","Python" "Cell biology","latchbio/spatialbench","spatialbench/harness/utils.py",".py","3807","128","import hashlib import json import os import subprocess from pathlib import Path def get_project_root(): current = Path(__file__).resolve() while current != current.parent: if (current / ""pyproject.toml"").exists(): return current current = current.parent return Path.cwd() def get_cache_dir(): project_root = get_project_root() cache_dir = project_root / "".spatialbench"" / ""cache"" cache_dir.mkdir(parents=True, exist_ok=True) return cache_dir def get_cache_manifest(): cache_dir = get_cache_dir() manifest_file = cache_dir / ""manifest.json"" if manifest_file.exists(): return json.loads(manifest_file.read_text()) return {} def save_cache_manifest(manifest: dict): cache_dir = get_cache_dir() manifest_file = cache_dir / ""manifest.json"" manifest_file.write_text(json.dumps(manifest, indent=2)) def get_cache_key(uri: str) -> str: uri_hash = hashlib.sha256(uri.encode()).hexdigest()[:16] filename = Path(uri).name return f""{uri_hash}__{filename}"" def download_single_dataset(uri: str, show_progress: bool = True) -> Path: cache_dir = get_cache_dir() manifest = get_cache_manifest() if uri in manifest: cached_file = cache_dir / manifest[uri] if cached_file.exists(): if show_progress: print(f""Using cached: {Path(uri).name}"") return cached_file cache_key = get_cache_key(uri) cached_file = cache_dir / cache_key if show_progress: print(f""Downloading: {uri}"") subprocess.run( [""latch"", ""cp"", uri, str(cached_file)], check=True, capture_output=True ) if show_progress: print(f""Cached as: {cache_key}"") manifest[uri] = cache_key save_cache_manifest(manifest) return cached_file def download_data(data_node: str | list[str], work_dir: Path) -> list[dict]: data_nodes = data_node if isinstance(data_node, list) else ([data_node] if data_node else []) contextual_data = [] for node in data_nodes: cached_file = download_single_dataset(node) data_filename = Path(node).name target_file = work_dir / data_filename if target_file.exists(): target_file.unlink() os.symlink(cached_file, target_file) print(f""Linked: {data_filename} -> workspace"") contextual_data.append({ ""type"": ""File"", ""path"": node, ""local_path"": data_filename, ""id"": node.replace(""latch:///"", """").replace("".csv"", """").replace("".h5ad"", """"), }) return contextual_data def batch_download_datasets(uris: list[str], show_progress: bool = True): if show_progress and uris: print(f""Preparing to download {len(uris)} unique dataset(s)..."") print(""="" * 80) for i, uri in enumerate(uris, 1): if show_progress: print(f""[{i}/{len(uris)}] "", end="""") download_single_dataset(uri, show_progress=show_progress) if show_progress and uris: print(""="" * 80) print(f""Downloaded/verified {len(uris)} dataset(s)"") print() def setup_workspace(eval_id: str, run_id: str | None = None) -> Path: project_root = get_project_root() if run_id: work_dir = project_root / "".spatialbench"" / ""workspace"" / run_id / eval_id else: work_dir = project_root / "".spatialbench"" / ""workspace"" / eval_id if work_dir.exists(): import shutil shutil.rmtree(work_dir) work_dir.mkdir(parents=True) return work_dir def cleanup_workspace(work_dir: Path, keep: bool = False): if keep: print(f""Workspace preserved at: {work_dir}"") else: import shutil shutil.rmtree(work_dir) print(f""Workspace deleted: {work_dir}"") ","Python" "Cell biology","latchbio/spatialbench","examples/run_with_minisweagent.py",".py","1487","50","#!/usr/bin/env python3 import sys from pathlib import Path from spatialbench import EvalRunner, run_minisweagent_task def main(): if len(sys.argv) < 2: print(""Usage: python run_with_minisweagent.py [--keep-workspace]"") print(""\nExample:"") print("" python run_with_minisweagent.py evals/qc/seeker_qc_basic.json"") print("" python run_with_minisweagent.py evals/clustering/xenium_leiden.json --keep-workspace"") sys.exit(1) eval_file = sys.argv[1] keep_workspace = ""--keep-workspace"" in sys.argv print(f""Running evaluation: {eval_file}"") print(f""Using mini-swe-agent"") print() runner = EvalRunner(eval_file, keep_workspace=keep_workspace) result = runner.run(agent_function=run_minisweagent_task) print(""\n"" + ""="" * 80) print(""EVALUATION RESULT"") print(""="" * 80) if result.get(""passed""): print(""✓ PASSED"") elif result.get(""passed"") is False: print(""✗ FAILED"") else: print(""⚠ NO GRADER (evaluation ran but was not graded)"") if result.get(""agent_answer""): print(""\nAgent Answer:"") import json print(json.dumps(result[""agent_answer""], indent=2)) if result.get(""grader_result""): print(""\nGrader Metrics:"") for key, value in result[""grader_result""].metrics.items(): if not isinstance(value, (list, dict)): print(f"" {key}: {value}"") if __name__ == ""__main__"": main() ","Python" "Cell biology","latchbio/spatialbench","docs/specification.md",".md","6941","298","# Evaluation Specification This document defines the standard format for SpatialBench evaluations. ## JSON Schema Every evaluation is defined as a JSON file with the following structure: ```json { ""id"": ""string"", ""task"": ""string"", ""data_node"": ""string | array | null"", ""grader"": { ""type"": ""string"", ""config"": {} }, ""timeout"": ""number (optional)"", ""download_timeout"": ""number (optional)"", ""agent_timeout"": ""number (optional)"" } ``` ## Field Descriptions ### `id` (required) Unique identifier for the evaluation. **Format**: `platform_task_description_version` **Examples**: - `xenium_qc_basic` - `atlasxomics_clustering_coarse_v1` - `vizgen_cell_typing_astrocyte_v2` **Best Practices**: - Use lowercase with underscores - Include platform name - Add version suffix for iterations (`_v1`, `_v2`) - Keep concise but descriptive ### `task` (required) Natural language description of the analysis task. **Guidelines**: - Be specific and unambiguous - Specify expected output format - Include exact field names for JSON output - Provide necessary biological context - Mention any specific parameters or methods **Example**: ```json { ""task"": ""Perform Leiden clustering on this AtlasXomics ATAC-seq dataset. Use resolution=1.0 and ensure clusters are independent of sample batch (AMI with sample < 0.3). Return JSON with fields: num_clusters (int), cluster_labels (list of unique cluster names), ami_with_sample (float)."" } ``` ### `data_node` (optional) Path(s) to dataset file(s) in cloud storage. **Single file**: ```json { ""data_node"": ""latch://38438.account/path/to/dataset.h5ad"" } ``` **Multiple files**: ```json { ""data_node"": [ ""latch://38438.account/path/to/file1.h5ad"", ""latch://38438.account/path/to/file2.csv"" ] } ``` **No data** (for synthetic or embedded data): ```json { ""data_node"": null } ``` **Supported formats**: - `.h5ad` (AnnData - most common) - `.csv` (tabular data) - `.tsv` (tabular data) - `.bed` (genomic regions) - `.gz` (compressed files) ### `grader` (required) Grading configuration specifying how to evaluate the agent's answer. **Structure**: ```json { ""grader"": { ""type"": ""grader_name"", ""config"": { ""ground_truth"": {}, ""tolerances"": {}, ""scoring"": {} } } } ``` See [graders.md](graders.md) for detailed grader documentation. ### Timeout Fields (optional) Control execution time limits: - **`timeout`**: Overall evaluation timeout in seconds (default: 1200) - **`download_timeout`**: Data download timeout in seconds (default: 600) - **`agent_timeout`**: Agent execution timeout in seconds (default: 1200) **Example**: ```json { ""timeout"": 1800, ""download_timeout"": 300, ""agent_timeout"": 1500 } ``` ## Output Format Agents must write their answer as JSON to `eval_answer.json`: ```json { ""field1"": value1, ""field2"": value2, ... } ``` The fields must match those specified in the task description and expected by the grader. ## Complete Examples ### Numeric Tolerance (QC) ```json { ""id"": ""xenium_qc_basic"", ""task"": ""Calculate basic QC metrics for this Xenium dataset. Return JSON with fields: mean_genes_per_cell (float), median_genes_per_cell (float), std_genes_per_cell (float)."", ""data_node"": ""latch://38438.account/xenium_kidney.h5ad"", ""grader"": { ""type"": ""numeric_tolerance"", ""config"": { ""ground_truth"": { ""mean_genes_per_cell"": 44.6, ""median_genes_per_cell"": 44.0, ""std_genes_per_cell"": 15.0 }, ""tolerances"": { ""mean_genes_per_cell"": {""type"": ""absolute"", ""value"": 5.0}, ""median_genes_per_cell"": {""type"": ""absolute"", ""value"": 5.0}, ""std_genes_per_cell"": {""type"": ""absolute"", ""value"": 5.0} } } } } ``` ### Label Set (Cell Typing) ```json { ""id"": ""xenium_kidney_typing"", ""task"": ""Assign each cell to one of these 20 kidney cell types: Pod, Glom-EC, EC, PTS1, PTS2, PTS3, Inj_PT, FR_PT, DTL, TAL, DCT, CNT, PC, ICA, ICB, Uro, PEC, Fib, Per-SMC, Immune. Return JSON with field: cell_types_predicted (list of unique cell types found)."", ""data_node"": ""latch://38438.account/xenium_kidney.h5ad"", ""grader"": { ""type"": ""label_set_jaccard"", ""config"": { ""ground_truth_labels"": [ ""Pod"", ""Glom-EC"", ""EC"", ""PTS1"", ""PTS2"", ""PTS3"", ""Inj_PT"", ""FR_PT"", ""DTL"", ""TAL"", ""DCT"", ""CNT"", ""PC"", ""ICA"", ""ICB"", ""Uro"", ""PEC"", ""Fib"", ""Per-SMC"", ""Immune"" ], ""scoring"": { ""method"": ""jaccard_index"", ""pass_threshold"": 1.0 } } } } ``` ### Distribution (Tissue Composition) ```json { ""id"": ""vizgen_tissue_composition"", ""task"": ""Calculate the percentage of each cell type in the tissue. Return JSON with fields: total_cells (int), cell_type_distribution (dict mapping cell_type to percentage)."", ""data_node"": ""latch://38438.account/vizgen_brain.h5ad"", ""grader"": { ""type"": ""distribution_comparison"", ""config"": { ""ground_truth"": { ""total_cells"": 50000, ""cell_type_distribution"": { ""Neuron"": 45.2, ""Astrocyte"": 20.1, ""Oligodendrocyte"": 15.3, ""Microglia"": 10.2, ""Endothelial"": 9.2 } }, ""tolerances"": { ""total_cells"": {""type"": ""absolute"", ""value"": 1000}, ""cell_type_percentages"": {""value"": 3.0} } } } } ``` ## Versioning When updating an existing evaluation: 1. **Minor changes** (typo fixes, clarifications): Update in place 2. **Ground truth changes**: Create new version with `_v2` suffix 3. **Grader changes**: Create new version 4. **Task changes**: Create new version Keep old versions for reproducibility. ## Validation Before submitting, validate your evaluation: ```bash spatialbench validate path/to/eval.json ``` This checks: - JSON syntax - Required fields present - Grader type exists - Config matches grader schema - Data node paths are valid URIs ## Spatial Biology Conventions ### AnnData Structure Standard fields in `.h5ad` files: - `adata.X`: Expression matrix (cells × genes) - `adata.obs`: Cell metadata (cell type, sample, QC metrics) - `adata.var`: Gene metadata (gene names, chromosome) - `adata.obsm['spatial']`: Spatial coordinates (x, y) - `adata.uns`: Unstructured metadata ### Common Output Formats **Cell types**: Use `adata.obs['cell_type']` or similar column **Clusters**: Use `adata.obs['leiden']`, `adata.obs['louvain']` **Embeddings**: Use `adata.obsm['X_pca']`, `adata.obsm['X_umap']` **Markers**: Store as DataFrame or dict ### Platform-Specific Notes **Xenium (10x)**: - 300-gene panels - Subcellular resolution - Quality control on transcript counts **AtlasXomics (ATAC-seq)**: - Peaks × cells matrix - Gene activity scores - Motif analysis **Vizgen (MERFISH)**: - 500+ gene panels - Cell segmentation from DAPI - z-stack imaging **Curio Seeker**: - Beads, not cells - Background removal important - Spatial registration to H&E ","Markdown" "Cell biology","latchbio/spatialbench","docs/graders.md",".md","12580","588","# Grader API Documentation SpatialBench includes 6 built-in graders for evaluating different types of analysis outputs. This document provides comprehensive documentation for each grader. ## Table of Contents 1. [Base Grader API](#base-grader-api) 2. [NumericToleranceGrader](#numerictolerancegrader) 3. [LabelSetJaccardGrader](#labelsetjaccardgrader) 4. [DistributionComparisonGrader](#distributioncomparisongrader) 5. [MarkerGenePrecisionRecallGrader](#markergeneprecisionrecallgrader) 6. [MarkerGeneSeparationGrader](#markergeneseparationgrader) 7. [SpatialAdjacencyGrader](#spatialadjacencygrader) 8. [Creating Custom Graders](#creating-custom-graders) ## Base Grader API All graders inherit from `BinaryGrader`: ```python from spatialbench.graders.base import BinaryGrader, GraderResult class BinaryGrader: def evaluate(self, test_result: TestResult, config: dict) -> GraderResult: """"""Extract answer and evaluate."""""" def evaluate_answer(self, agent_answer: dict, config: dict) -> GraderResult: """"""Core grading logic - override this."""""" def extract_answer_from_tags(self, conversation: list[dict]) -> dict | None: """"""Extract answer from agent conversation."""""" ``` **GraderResult**: ```python @dataclass class GraderResult: passed: bool # Did the evaluation pass? metrics: dict # Detailed metrics reasoning: str # Human-readable explanation agent_answer: dict | None # The agent's answer ``` --- ## NumericToleranceGrader Validates numeric fields against ground truth with configurable tolerances. ### Use Cases - QC metrics (gene counts, UMI counts, mito fraction) - Statistical summaries (mean, median, std) - Dimensionality parameters (number of PCs) - Any numeric comparison ### Config Schema ```python { ""ground_truth"": { ""field_name"": numeric_value, ... }, ""tolerances"": { ""field_name"": { ""type"": ""absolute"" | ""relative"" | ""min"" | ""max"", ""value"": numeric_tolerance }, ... } } ``` ### Tolerance Types **Absolute**: `|actual - expected| <= tolerance` ```json { ""type"": ""absolute"", ""value"": 5.0 } ``` **Relative**: `|actual - expected| / |expected| <= tolerance` ```json { ""type"": ""relative"", ""value"": 0.1 } ``` **Min**: `actual >= expected` (minimum threshold) ```json { ""type"": ""min"", ""value"": 100 } ``` **Max**: `actual <= expected` (maximum threshold) ```json { ""type"": ""max"", ""value"": 0.35 } ``` ### Example ```json { ""type"": ""numeric_tolerance"", ""config"": { ""ground_truth"": { ""mean_genes"": 44.6, ""median_genes"": 44.0, ""p95_mito_frac"": 0.30 }, ""tolerances"": { ""mean_genes"": {""type"": ""absolute"", ""value"": 5.0}, ""median_genes"": {""type"": ""absolute"", ""value"": 5.0}, ""p95_mito_frac"": {""type"": ""max"", ""value"": 0.35} } } } ``` **Expected agent output**: ```json { ""mean_genes"": 46.2, ""median_genes"": 43.5, ""p95_mito_frac"": 0.28 } ``` ### Metrics - `{field}_actual`: Agent's value - `{field}_expected`: Ground truth value - `{field}_error`: Absolute or relative error - `{field}_pass`: Boolean pass/fail for this field --- ## LabelSetJaccardGrader Compares sets of labels using Jaccard index. ### Use Cases - Cell type vocabularies - Cluster label sets - Gene marker lists (when order doesn't matter) - Any set comparison ### Config Schema ```python { ""ground_truth_labels"": [""label1"", ""label2"", ...], ""scoring"": { ""method"": ""jaccard_index"", ""pass_threshold"": 0.0 to 1.0 } } ``` ### Jaccard Index ``` J(A, B) = |A ∩ B| / |A ∪ B| ``` - 1.0 = perfect match - 0.0 = no overlap ### Example ```json { ""type"": ""label_set_jaccard"", ""config"": { ""ground_truth_labels"": [ ""Pod"", ""Glom-EC"", ""EC"", ""PTS1"", ""PTS2"", ""PTS3"", ""DTL"", ""TAL"", ""DCT"", ""CNT"" ], ""scoring"": { ""method"": ""jaccard_index"", ""pass_threshold"": 1.0 } } } ``` **Expected agent output**: ```json { ""cell_types_predicted"": [ ""Pod"", ""Glom-EC"", ""EC"", ""PTS1"", ""PTS2"", ""PTS3"", ""DTL"", ""TAL"", ""DCT"", ""CNT"" ] } ``` ### Metrics - `jaccard_index`: Jaccard similarity score - `true_positives`: Correct labels - `false_positives`: Extra labels (not in ground truth) - `false_negatives`: Missing labels (in ground truth, not predicted) - `predicted_count`: Number of predicted labels - `ground_truth_count`: Number of ground truth labels --- ## DistributionComparisonGrader Validates cell type distributions (percentages). ### Use Cases - Cell type composition - Tissue proportions - Cluster size validation - Any percentage distribution ### Config Schema ```python { ""ground_truth"": { ""total_cells"": int (optional), ""cell_type_distribution"": { ""type1"": percentage1, ""type2"": percentage2, ... } }, ""tolerances"": { ""total_cells"": {""type"": ""absolute"", ""value"": int}, ""cell_type_percentages"": {""value"": float} } } ``` ### Example ```json { ""type"": ""distribution_comparison"", ""config"": { ""ground_truth"": { ""total_cells"": 50000, ""cell_type_distribution"": { ""Neuron"": 45.2, ""Astrocyte"": 20.1, ""Oligodendrocyte"": 15.3, ""Microglia"": 10.2, ""Endothelial"": 9.2 } }, ""tolerances"": { ""total_cells"": {""type"": ""absolute"", ""value"": 1000}, ""cell_type_percentages"": {""value"": 3.0} } } } ``` **Expected agent output**: ```json { ""total_cells"": 49800, ""cell_type_distribution"": { ""Neuron"": 44.8, ""Astrocyte"": 21.0, ""Oligodendrocyte"": 14.9, ""Microglia"": 10.5, ""Endothelial"": 8.8 } } ``` ### Metrics - `total_cells_actual`, `total_cells_expected`, `total_cells_pass` - For each cell type: - `{type}_actual`: Agent's percentage - `{type}_expected`: Ground truth percentage - `{type}_diff`: Absolute difference - `{type}_pass`: Within tolerance? - `extra_cell_types`: Cell types not in ground truth --- ## MarkerGenePrecisionRecallGrader Evaluates top-K marker gene lists using Precision@K and Recall@K. ### Use Cases - Marker gene discovery - Differential expression top genes - Ranked gene lists - Feature selection validation ### Config Schema ```python { ""canonical_markers"": [""gene1"", ""gene2"", ...], ""scoring"": { ""pass_thresholds"": { ""precision_at_k"": 0.0 to 1.0, ""recall_at_k"": 0.0 to 1.0 } } } ``` ### Metrics **Precision@K**: Fraction of predicted genes that are canonical ``` P@K = |predicted ∩ canonical| / K ``` **Recall@K**: Fraction of canonical genes found in top-K ``` R@K = |predicted ∩ canonical| / |canonical| ``` ### Example ```json { ""type"": ""marker_gene_precision_recall"", ""config"": { ""canonical_markers"": [ ""NPHS1"", ""NPHS2"", ""PODXL"", ""WT1"", ""SYNPO"", ""MAGI2"", ""CD2AP"", ""ACTN4"" ], ""scoring"": { ""pass_thresholds"": { ""precision_at_k"": 0.60, ""recall_at_k"": 0.50 } } } } ``` **Expected agent output**: ```json { ""top_marker_genes"": [ ""NPHS1"", ""NPHS2"", ""PODXL"", ""WT1"", ""SYNPO"", ""CDH5"", ""PECAM1"", ""VWF"" ] } ``` K = 8 (length of predicted list) - Precision@8 = 5/8 = 0.625 ✓ (≥0.60) - Recall@8 = 5/8 = 0.625 ✓ (≥0.50) ### Metrics - `k`: Length of predicted list - `precision_at_k`: Precision score - `recall_at_k`: Recall score - `true_positives`: Correct genes - `false_positives`: Non-canonical genes - `false_negatives`: Canonical genes not found - `precision_pass`, `recall_pass`: Individual pass/fail **Note**: Gene name matching is case-insensitive. --- ## MarkerGeneSeparationGrader Validates marker expression separation using AUROC (Area Under ROC Curve). ### Use Cases - Validate markers actually separate cell types - Expression-based cell type validation - Marker quality assessment ### Config Schema ```python { ""scoring"": { ""pass_thresholds"": { ""mean_auroc"": 0.0 to 1.0, ""fraction_high"": 0.0 to 1.0, ""per_gene_cutoff"": 0.0 to 1.0 } } } ``` ### Metrics **Mean AUROC**: Average AUROC across all markers **Fraction High**: Fraction of markers with AUROC ≥ cutoff AUROC interpretation: - 1.0 = perfect separation - 0.5 = random (no separation) - Close to 1.0 = good marker ### Example ```json { ""type"": ""marker_gene_separation"", ""config"": { ""scoring"": { ""pass_thresholds"": { ""mean_auroc"": 0.85, ""fraction_high"": 0.70, ""per_gene_cutoff"": 0.80 } } } } ``` **Expected agent output**: ```json { ""mean_auroc"": 0.87, ""per_gene_stats"": [ {""gene"": ""NPHS1"", ""auroc"": 0.92}, {""gene"": ""NPHS2"", ""auroc"": 0.89}, {""gene"": ""PODXL"", ""auroc"": 0.85}, {""gene"": ""WT1"", ""auroc"": 0.88}, {""gene"": ""SYNPO"", ""auroc"": 0.75} ] } ``` - Mean AUROC: 0.87 ✓ (≥0.85) - Fraction high (≥0.80): 4/5 = 0.80 ✓ (≥0.70) ### Metrics - `mean_auroc_agent`: Agent's reported mean - `mean_auroc_computed`: Computed from per_gene_stats - `fraction_high`: Fraction above cutoff - `high_auroc_genes`: Genes ≥ cutoff - `low_auroc_genes`: Genes < cutoff - `per_gene_aurocs`: Full dict of gene → AUROC --- ## SpatialAdjacencyGrader Evaluates spatial proximity metrics (cell-cell distances). ### Use Cases - Spatial adjacency analysis - Cell-cell interaction validation - Spatial organization metrics ### Config Schema ```python { ""scoring"": { ""pass_thresholds"": { ""max_median_ic_to_pc_um"": float, ""max_p90_ic_to_pc_um"": float, ""min_pct_ic_within_15um"": float, ""min_pct_ic_mixed_within_55um"": float } } } ``` ### Example ```json { ""type"": ""spatial_adjacency"", ""config"": { ""scoring"": { ""pass_thresholds"": { ""max_median_ic_to_pc_um"": 25.0, ""max_p90_ic_to_pc_um"": 80.0, ""min_pct_ic_within_15um"": 60.0, ""min_pct_ic_mixed_within_55um"": 60.0 } } } } ``` **Expected agent output**: ```json { ""median_ic_to_pc_um"": 18.5, ""p90_ic_to_pc_um"": 65.2, ""pct_ic_within_15um"": 72.3, ""pct_ic_mixed_within_55um"": 85.1, ""adjacency_pass"": true } ``` ### Metrics - `median_ic_to_pc_um`: Median distance IC→PC - `p90_ic_to_pc_um`: 90th percentile distance - `pct_ic_within_15um`: % IC cells within 15μm of PC - `pct_ic_mixed_within_55um`: % IC cells with PC neighbor within 55μm - `adjacency_pass`: Agent's assessment - Individual pass/fail for each metric --- ## Creating Custom Graders See [CONTRIBUTING.md](../CONTRIBUTING.md#creating-a-custom-grader) for a complete guide. ### Basic Template ```python from spatialbench.graders.base import BinaryGrader, GraderResult class MyGrader(BinaryGrader): def evaluate_answer(self, agent_answer: dict, config: dict) -> GraderResult: passed = True metrics = {} failures = [] reasoning = f""My Grader: {'PASS' if passed else 'FAIL'}"" return GraderResult( passed=passed, metrics=metrics, reasoning=reasoning, agent_answer=agent_answer ) ``` ### Register Your Grader Add to `spatialbench/graders/__init__.py`: ```python from spatialbench.graders.my_grader import MyGrader GRADER_REGISTRY = { ... ""my_grader"": MyGrader, } ``` ### Use in Evaluation ```json { ""grader"": { ""type"": ""my_grader"", ""config"": {...} } } ``` ## Grader Selection Guide | Task Type | Recommended Grader | Notes | |-----------|-------------------|-------| | QC metrics | NumericTolerance | Use absolute tolerances | | Cell type vocab | LabelSetJaccard | Set threshold=1.0 for exact match | | Tissue composition | DistributionComparison | ±3% typical tolerance | | Top-K markers | MarkerGenePrecisionRecall | Balance P@K and R@K | | Marker validation | MarkerGeneSeparation | Require AUROC >0.8 | | Spatial metrics | SpatialAdjacency | Platform-specific thresholds | | Clustering | NumericTolerance + LabelSetJaccard | Multiple metrics | | Custom logic | Create custom grader | Full control | ","Markdown" "Cell biology","latchbio/spatialbench","docs/adding_evals.md",".md","9280","346","# Understanding SpatialBench Evaluations This guide explains how SpatialBench evaluations are structured and how they work. The 7 example evaluations in this repository are fixed to demonstrate the format. To contribute to the full 98-evaluation benchmark, contact [kenny@latch.bio](mailto:kenny@latch.bio). ## Example Evaluation Structure The 7 evaluations in this repository demonstrate: - [ ] Tasks from real-world analysis workflows - [ ] Reproducible ground truth - [ ] Appropriate grader selection - [ ] Clear task descriptions with specified output format - [ ] Local testing procedures - [ ] Comprehensive documentation ## Full Benchmark Information The complete SpatialBench comprises **98 evaluations** across four platforms: | Technology | Evaluations | |------------------|-------------| | Xenium | 30 | | Vizgen (MERFISH) | 31 | | AtlasXomics | 25 | | Seeker/Curio | 12 | | **Total** | **98** | This repository contains **7 representative examples** to demonstrate the evaluation format and grading system. To contribute to the full benchmark, contact [kenny@latch.bio](mailto:kenny@latch.bio). ## Detailed Walkthrough ### Step 1: Task Selection Good evaluation tasks in SpatialBench: - Represent real analysis workflows - Have clear, objective ground truth - Test specific agent capabilities - Span diverse difficulty levels Examples from the benchmark: - Calculate mean gene count per cell (QC metrics) - Perform Leiden clustering with specific parameters - Identify cell populations using marker genes ### Step 2: Dataset Requirements SpatialBench datasets: - Are in standard format (.h5ad for most cases) - Have necessary metadata (cell types, clusters, spatial coords) - Are properly preprocessed (or evaluations test preprocessing) - Are hosted in cloud storage with latch:// URIs Example data node: ```json { ""data_node"": ""latch://38438.account/xenium_kidney.h5ad"" } ``` ### Step 3: Ground Truth Methodology Ground truth is established by running analyses with standard tools: ```python import scanpy as sc import numpy as np adata = sc.read_h5ad(""dataset.h5ad"") sc.pp.filter_cells(adata, min_genes=200) sc.pp.filter_genes(adata, min_cells=3) sc.pp.normalize_total(adata, target_sum=1e4) sc.pp.log1p(adata) sc.pp.highly_variable_genes(adata, n_top_genes=2000) sc.pp.pca(adata, n_comps=50) ground_truth = { ""n_cells"": int(adata.n_obs), ""n_genes"": int(adata.n_vars), ""mean_counts"": float(adata.X.sum(axis=1).mean()), ""n_pcs"": int(adata.obsm['X_pca'].shape[1]) } print(ground_truth) ``` **Document everything**: - Package versions (`scanpy==1.9.1`) - Random seeds (if applicable) - Parameter choices and rationale - References to papers/protocols ### Step 4: Select Grader Match your task to the appropriate grader: | Output Type | Grader | Example | |-------------|--------|---------| | Numbers | NumericTolerance | `{""mean"": 45.2}` | | Label set | LabelSetJaccard | `{""labels"": [""A"", ""B""]}` | | Percentages | DistributionComparison | `{""dist"": {""A"": 30, ""B"": 70}}` | | Ranked list | MarkerGenePrecisionRecall | `{""genes"": [""G1"", ""G2""]}` | | Expression scores | MarkerGeneSeparation | `{""auroc"": 0.85, ""per_gene"": [...]}` | | Spatial metrics | SpatialAdjacency | `{""median_dist"": 18.5}` | See [graders.md](graders.md) for full documentation. ### Step 5: Write Task Description Make it crystal clear: **Bad**: ``` ""Cluster the cells and tell me how many clusters there are."" ``` **Good**: ``` ""Perform Leiden clustering on the preprocessed data using resolution=1.0. Ensure resulting clusters are largely independent of sample batch (adjusted mutual information with 'sample' column < 0.3). Return JSON with fields: num_clusters (int), cluster_labels (list of unique cluster IDs), ami_with_sample (float between 0 and 1)."" ``` Key elements: - Specific method (Leiden, not just ""clustering"") - Parameters (resolution=1.0) - Constraints (AMI < 0.3) - Exact output format with field names and types ### Step 6: Evaluation JSON Format Example evaluation file structure: ```json { ""id"": ""platform_task_description_v1"", ""task"": ""Your detailed task description here..."", ""data_node"": ""latch://path/to/dataset.h5ad"", ""grader"": { ""type"": ""grader_name"", ""config"": { ""ground_truth"": { ... }, ""tolerances"": { ... } } } } ``` **Naming convention**: - `id`: `xenium_clustering_leiden_v1` - File: `evals/clustering/xenium_clustering_leiden.json` ### Step 7: Test Locally Create a test agent: ```python from spatialbench import EvalRunner from pathlib import Path import json def test_agent(task_prompt, work_dir): import scanpy as sc adata_files = list(work_dir.glob(""*.h5ad"")) adata = sc.read_h5ad(adata_files[0]) sc.pp.pca(adata, n_comps=50) answer = { ""n_pcs"": adata.obsm['X_pca'].shape[1] } answer_file = work_dir / ""eval_answer.json"" answer_file.write_text(json.dumps(answer)) return answer runner = EvalRunner( ""evals/preprocessing/my_new_eval.json"", keep_workspace=True ) result = runner.run(agent_function=test_agent) print(f""Passed: {result['passed']}"") ``` **Test both cases**: 1. Correct answer → should pass 2. Incorrect answer → should fail ```python def wrong_agent(task_prompt, work_dir): answer = {""n_pcs"": 999} (work_dir / ""eval_answer.json"").write_text(json.dumps(answer)) return answer result = runner.run(agent_function=wrong_agent) assert not result['passed'], ""Grader should fail with wrong answer!"" ``` ### Step 8: Documentation Format Each evaluation in `evals/README.md` is documented with: ```markdown #### platform_task_description **Platform**: Xenium/Vizgen/Seeker **Grader**: grader_name Description of what this eval tests and why it's important. **Key Metrics**: field1, field2, field3 **Platform Notes**: Specific considerations for this platform **Challenges**: What makes this task difficult ``` ### Step 9: Contributing to the Full Benchmark To contribute new evaluations to the full 98-evaluation benchmark: 1. **Review the 7 examples** in this repository to understand format and quality standards 2. **Contact [kenny@latch.bio](mailto:kenny@latch.bio)** with your proposal 3. **Provide**: - Task description and rationale - Ground truth establishment method - Dataset information - Grader configuration - Validation of reproducibility The full benchmark is maintained separately to prevent overfitting and ensure performance metrics reflect genuine spatial biology reasoning capabilities. ## Common Pitfalls ### ❌ Ambiguous Task Descriptions **Problem**: Agent doesn't know exact output format ```json { ""task"": ""Find the major cell types"" } ``` **Solution**: Specify exact fields ```json { ""task"": ""Identify major cell types and return JSON with field: cell_types (list of strings)"" } ``` ### ❌ Too Tight Tolerances **Problem**: Ground truth not reproducible enough ```json { ""mean_expression"": 45.234567, ""tolerance"": 0.00001 } ``` **Solution**: Use reasonable tolerances ```json { ""mean_expression"": 45.2, ""tolerance"": 2.0 } ``` ### ❌ Missing Validation **Problem**: Don't test with wrong answers **Solution**: Always test failure cases ### ❌ Underdocumented Ground Truth **Problem**: Can't reproduce analysis **Solution**: Document all parameters, seeds, versions ## Advanced: Multiple Graders Some evals need multiple criteria: ```json { ""grader"": { ""type"": ""multi_criteria"", ""graders"": [ { ""type"": ""numeric_tolerance"", ""weight"": 0.5, ""config"": {...} }, { ""type"": ""label_set_jaccard"", ""weight"": 0.5, ""config"": {...} } ] } } ``` **Note**: This requires implementing a `MultiCriteriaGrader` - see custom grader docs. ## Tips for Good Evaluations 1. **Start simple**: Don't combine too many requirements in one eval 2. **Be specific**: Exact field names, data types, constraints 3. **Document well**: Future you will thank you 4. **Test thoroughly**: Both pass and fail cases 5. **Consider difficulty**: Mix easy, medium, and hard evals 6. **Real-world relevance**: Does this test actual analysis skills? 7. **Reproducibility**: Can someone else verify your ground truth? ## Example Evaluations to Study The 7 representative evaluations in this repository: - **QC metrics**: `evals/qc/seeker_qc_basic.json` - **Preprocessing**: `evals/preprocessing/xenium_normalization.json` - **Clustering**: `evals/clustering/xenium_leiden.json` - **Cell typing**: `evals/cell_typing/xenium_kidney_typing.json` - **Differential expression**: `evals/differential_expression/vizgen_de_temporal.json` - **Spatial analysis**: `evals/spatial_analysis/seeker_spatial_contiguity.json`, `evals/spatial_analysis/vizgen_tissue_composition.json` ## Additional Resources - Study the 7 example evaluations for format and structure - Read [specification.md](specification.md) for technical format details - Read [graders.md](graders.md) for available grader types - See [BENCHMARK_SCOPE.md](../BENCHMARK_SCOPE.md) for full benchmark information - Contact [kenny@latch.bio](mailto:kenny@latch.bio) to contribute to the full benchmark ","Markdown" "Cell biology","latchbio/spatialbench","docs/CLI_USAGE.md",".md","5333","235","# CLI Usage Guide SpatialBench provides a command-line interface for running evaluations and managing benchmarks. ## Commands ### run - Run a single evaluation ```bash spatialbench run [options] ``` **Options:** - `--agent minisweagent` - Use mini-swe-agent to run the evaluation - `--model ` - Specify model name (e.g., `anthropic/claude-sonnet-4-5`, `openai/gpt-4o`) - `--keep-workspace` - Keep workspace directory after completion - `--verbose, -v` - Verbose output **Examples:** ```bash spatialbench run evals/qc/seeker_qc_basic.json --agent minisweagent spatialbench run evals/qc/seeker_qc_basic.json \ --agent minisweagent \ --model anthropic/claude-sonnet-4-5 \ --keep-workspace ``` ### batch - Run multiple evaluations ```bash spatialbench batch [options] ``` **Options:** - `--agent minisweagent` - Use mini-swe-agent for all evaluations - `--model ` - Model name for agent - `--output, -o ` - Output directory for results - `--parallel, -p ` - Number of parallel workers (default: 1) - `--keep-workspace` - Keep workspace after each eval **Examples:** ```bash spatialbench batch evals_full/seeker --agent minisweagent spatialbench batch evals_full/seeker \ --agent minisweagent \ --model anthropic/claude-sonnet-4-5 \ --output results/run1 \ --parallel 6 \ --keep-workspace ``` **Batch Process:** 1. **Dataset collection** - Scans all eval files and collects unique dataset URIs 2. **Batch download** - Downloads all datasets upfront (if using Latch data nodes) 3. **Parallel execution** - Runs evaluations with specified number of workers 4. **Result aggregation** - Collects results and computes summary statistics **Batch Results:** Results are saved to `/batch_results.json`: ```json { ""metadata"": { ""model"": ""anthropic/claude-sonnet-4-5"", ""timestamp"": ""2025-01-12T21:30:45Z"", ""total_evals"": 12, ""passed"": 10, ""failed"": 2, ""pass_rate"": 83.3, ""avg_duration_s"": 45.2, ""total_cost"": 0.34, ""avg_cost_per_eval"": 0.028, ""total_steps"": 38, ""avg_steps_per_eval"": 3.2 }, ""results"": [ { ""eval"": ""curio_mt_percentage.json"", ""passed"": true, ""test_id"": ""curio_mt_percentage"", ""model"": ""anthropic/claude-sonnet-4-5"", ""timestamp"": ""2025-01-12T21:31:15Z"", ""duration_s"": 42.3, ""total_cost"": 0.028, ""n_steps"": 3, ""n_messages"": 6 } ] } ``` ### validate - Validate evaluation format ```bash spatialbench validate ``` Checks that an evaluation file: - Contains required fields (`id`, `task`) - Uses a valid grader type - Has valid JSON syntax **Example:** ```bash spatialbench validate evals/qc/seeker_qc_basic.json ``` ### list - List available evaluations ```bash spatialbench list [--category ] ``` Lists all evaluations in the package, optionally filtered by category. **Categories:** - `qc` - Quality control - `preprocessing` - Normalization, dimensionality reduction - `clustering` - Clustering algorithms - `cell_typing` - Cell type annotation - `differential_expression` - Marker gene discovery - `spatial_analysis` - Spatial-specific analyses **Example:** ```bash spatialbench list spatialbench list --category qc ``` ## Environment Variables ### Model Configuration **For Anthropic models:** ```bash export MSWEA_MODEL_NAME=anthropic/claude-sonnet-4-5 export ANTHROPIC_API_KEY=your_api_key ``` **For OpenAI models:** ```bash export MSWEA_MODEL_NAME=openai/gpt-4o export OPENAI_API_KEY=your_api_key ``` **Supported Models:** - `anthropic/claude-sonnet-4-5` - Claude Sonnet 4.5 (recommended) - `anthropic/claude-opus-4` - Claude Opus 4 - `openai/gpt-4o` - GPT-4o - `openai/gpt-4o-mini` - GPT-4o Mini - `openai/o1` - OpenAI o1 - `openai/o1-mini` - OpenAI o1 Mini ### Latch Configuration If using Latch data nodes: ```bash export LATCH_TOKEN=your_latch_token ``` ## Programmatic Usage For more control, use the Python API: ```python from spatialbench import EvalRunner from spatialbench.harness import run_minisweagent_task runner = EvalRunner( ""evals/qc/seeker_qc_basic.json"", keep_workspace=True ) result = runner.run( agent_function=lambda task, work_dir: run_minisweagent_task( task, work_dir, model_name=""anthropic/claude-sonnet-4-5"" ) ) print(f""Passed: {result['passed']}"") print(f""Cost: ${result['metadata']['total_cost']:.4f}"") print(f""Steps: {result['metadata']['n_steps']}"") ``` ## Monitoring Batch Runs See [BATCH_MONITORING.md](../BATCH_MONITORING.md) for detailed instructions on: - Real-time progress monitoring - Identifying stuck evaluations - Viewing agent logs - Performance metrics - Troubleshooting common issues ## Benchmark Script For running multi-model benchmarks: ```bash ./scripts/benchmark_models.sh [workers] [keep_workspace] ``` This script: - Runs multiple models on the same eval set - Organizes results by timestamp: `results/run_TIMESTAMP/` - Produces separate results for each model - Includes timing and cost comparisons **Example:** ```bash ./scripts/benchmark_models.sh evals_full/seeker 6 true ``` Results will be saved to: ``` results/ run_20250112_213045/ sonnet45/ batch_results.json batch_log.txt gpt5codex/ batch_results.json batch_log.txt ``` ","Markdown" "Cell biology","latchbio/spatialbench","scripts/cleanup_orphaned_processes.sh",".sh","877","32","#!/bin/bash set -e echo ""=========================================="" echo ""Cleaning up orphaned multiprocessing workers"" echo ""=========================================="" echo """" ORPHANED_COUNT=$(ps aux | grep 'from multiprocessing' | grep -v grep | wc -l | tr -d ' ') if [ ""$ORPHANED_COUNT"" -eq 0 ]; then echo ""No orphaned processes found."" exit 0 fi echo ""Found $ORPHANED_COUNT orphaned multiprocessing worker processes"" echo """" read -p ""Kill all orphaned processes? (y/n) "" -n 1 -r echo if [[ ! $REPLY =~ ^[Yy]$ ]]; then echo ""Cleanup cancelled."" exit 0 fi echo ""Killing orphaned processes..."" ps aux | grep 'from multiprocessing' | grep -v grep | awk '{print $2}' | xargs kill -9 2>/dev/null || true REMAINING=$(ps aux | grep 'from multiprocessing' | grep -v grep | wc -l | tr -d ' ') echo """" echo ""Cleanup complete. Remaining processes: $REMAINING"" ","Shell" "Cell biology","latchbio/spatialbench","scripts/compare_models.py",".py","5925","179","#!/usr/bin/env python3 import json import sys from pathlib import Path from collections import defaultdict def load_results(results_dir): results_dir = Path(results_dir) model_results = {} for model_dir in results_dir.iterdir(): if not model_dir.is_dir(): continue results_file = model_dir / ""batch_results.json"" if not results_file.exists(): continue try: data = json.loads(results_file.read_text()) if ""metadata"" in data and ""results"" in data: model_results[model_dir.name] = data else: model_results[model_dir.name] = { ""metadata"": {""model"": model_dir.name}, ""results"": data } except Exception as e: print(f""Warning: Failed to load {results_file}: {e}"", file=sys.stderr) return model_results def print_summary_table(model_results): print(""\n"" + ""="" * 100) print(""MODEL COMPARISON SUMMARY"") print(""="" * 100) print() headers = [""Model"", ""Total"", ""Passed"", ""Failed"", ""Pass Rate"", ""Avg Time"", ""Total Time""] col_widths = [20, 8, 8, 8, 12, 12, 12] header_row = "" "".join(h.ljust(w) for h, w in zip(headers, col_widths)) print(header_row) print(""-"" * 100) for model_name, data in sorted(model_results.items()): metadata = data.get(""metadata"", {}) results = data.get(""results"", []) total = metadata.get(""total_evals"", len(results)) passed = metadata.get(""passed"", sum(1 for r in results if r.get(""passed"") is True)) failed = metadata.get(""failed"", sum(1 for r in results if r.get(""passed"") is False)) pass_rate = metadata.get(""pass_rate"", round(passed/total*100, 1) if total else 0) avg_time = metadata.get(""avg_duration_s"", 0) total_time = metadata.get(""total_duration_s"", 0) row = [ model_name, str(total), str(passed), str(failed), f""{pass_rate:.1f}%"", f""{avg_time:.1f}s"", f""{total_time/60:.1f}m"" ] row_str = "" "".join(v.ljust(w) for v, w in zip(row, col_widths)) print(row_str) print() def analyze_eval_disagreements(model_results): eval_outcomes = defaultdict(dict) for model_name, data in model_results.items(): results = data.get(""results"", []) for result in results: eval_name = result.get(""eval"") or result.get(""test_id"") if eval_name: eval_outcomes[eval_name][model_name] = result.get(""passed"") disagreements = [] for eval_name, outcomes in eval_outcomes.items(): if len(set(outcomes.values())) > 1: disagreements.append((eval_name, outcomes)) if disagreements: print(""="" * 100) print(""EVALUATIONS WITH DISAGREEMENTS"") print(""="" * 100) print() for eval_name, outcomes in sorted(disagreements): print(f"" {eval_name}"") for model_name, passed in sorted(outcomes.items()): status = ""✓ PASSED"" if passed else (""✗ FAILED"" if passed is False else ""? NULL"") print(f"" {model_name}: {status}"") print() else: print(""="" * 100) print(""No disagreements found - all models agree on all evaluations"") print(""="" * 100) print() def generate_comparison_report(results_dir, model_results): output_file = Path(results_dir) / ""comparison_summary.json"" summary = { ""models"": {}, ""disagreements"": [] } for model_name, data in model_results.items(): metadata = data.get(""metadata"", {}) results = data.get(""results"", []) total = metadata.get(""total_evals"", len(results)) passed = metadata.get(""passed"", sum(1 for r in results if r.get(""passed"") is True)) summary[""models""][model_name] = { ""total_evals"": total, ""passed"": passed, ""failed"": metadata.get(""failed"", total - passed), ""pass_rate"": metadata.get(""pass_rate"", round(passed/total*100, 1) if total else 0), ""avg_duration_s"": metadata.get(""avg_duration_s"", 0), ""total_duration_s"": metadata.get(""total_duration_s"", 0), } eval_outcomes = defaultdict(dict) for model_name, data in model_results.items(): results = data.get(""results"", []) for result in results: eval_name = result.get(""eval"") or result.get(""test_id"") if eval_name: eval_outcomes[eval_name][model_name] = result.get(""passed"") for eval_name, outcomes in eval_outcomes.items(): if len(set(outcomes.values())) > 1: summary[""disagreements""].append({ ""eval"": eval_name, ""outcomes"": outcomes }) output_file.write_text(json.dumps(summary, indent=2)) print(f""Comparison report saved to: {output_file}"") print() def main(): if len(sys.argv) < 2: print(""Usage: python compare_models.py "") print() print(""Example:"") print("" python compare_models.py results/"") sys.exit(1) results_dir = sys.argv[1] if not Path(results_dir).exists(): print(f""Error: Directory not found: {results_dir}"", file=sys.stderr) sys.exit(1) model_results = load_results(results_dir) if not model_results: print(f""Error: No batch_results.json files found in {results_dir}"", file=sys.stderr) sys.exit(1) print(f""\nFound results for {len(model_results)} model(s):"") for model_name in sorted(model_results.keys()): print(f"" - {model_name}"") print_summary_table(model_results) analyze_eval_disagreements(model_results) generate_comparison_report(results_dir, model_results) if __name__ == ""__main__"": main() ","Python" "Cell biology","latchbio/spatialbench","scripts/benchmark_models.sh",".sh","2350","98","#!/bin/bash set -e EVAL_DIR=""${1:-evals_full/seeker}"" RUN_TIMESTAMP=$(date +%Y%m%d_%H%M%S) OUTPUT_BASE=""results/run_${RUN_TIMESTAMP}"" PARALLEL_WORKERS=""${2:-6}"" KEEP_WORKSPACE=""${3:-true}"" MODELS=( ""anthropic/claude-sonnet-4-5"" ""openai/gpt-5-codex"" ) MODEL_NAMES=( ""sonnet45"" ""gpt5codex"" ) echo ""=========================================="" echo ""SpatialBench Multi-Model Benchmark"" echo ""=========================================="" echo """" echo ""Evaluation directory: $EVAL_DIR"" echo ""Output directory: $OUTPUT_BASE"" echo ""Parallel workers: $PARALLEL_WORKERS"" echo """" echo ""Models to benchmark:"" for i in ""${!MODELS[@]}""; do echo "" ${MODEL_NAMES[$i]}: ${MODELS[$i]}"" done echo """" read -p ""Continue with benchmark? (y/n) "" -n 1 -r echo if [[ ! $REPLY =~ ^[Yy]$ ]]; then echo ""Benchmark cancelled."" exit 0 fi BENCHMARK_START=$(date +%s) for i in ""${!MODELS[@]}""; do MODEL=""${MODELS[$i]}"" MODEL_NAME=""${MODEL_NAMES[$i]}"" OUTPUT_DIR=""$OUTPUT_BASE/$MODEL_NAME"" echo """" echo ""=========================================="" echo ""Running benchmark for: $MODEL_NAME"" echo ""Model: $MODEL"" echo ""Output: $OUTPUT_DIR"" echo ""=========================================="" echo """" START=$(date +%s) mkdir -p ""$OUTPUT_DIR"" KEEP_WS_FLAG="""" if [[ ""$KEEP_WORKSPACE"" == ""true"" ]]; then KEEP_WS_FLAG=""--keep-workspace"" fi .venv/bin/python -m spatialbench.cli batch ""$EVAL_DIR"" \ --agent minisweagent \ --model ""$MODEL"" \ --output ""$OUTPUT_DIR"" \ --parallel ""$PARALLEL_WORKERS"" \ $KEEP_WS_FLAG \ 2>&1 | tee ""$OUTPUT_DIR/batch_log.txt"" END=$(date +%s) DURATION=$((END - START)) echo """" echo ""Completed $MODEL_NAME in ${DURATION}s ($(($DURATION / 60))m)"" echo """" done BENCHMARK_END=$(date +%s) TOTAL_DURATION=$((BENCHMARK_END - BENCHMARK_START)) echo """" echo ""=========================================="" echo ""Benchmark Complete!"" echo ""=========================================="" echo ""Total duration: ${TOTAL_DURATION}s ($(($TOTAL_DURATION / 60))m)"" echo """" echo ""Results saved to:"" for MODEL_NAME in ""${MODEL_NAMES[@]}""; do echo "" $OUTPUT_BASE/$MODEL_NAME/batch_results.json"" done echo """" echo ""To compare results, run:"" echo "" python scripts/compare_models.py $OUTPUT_BASE/"" echo """" ","Shell" "Cell biology","finitewave/Finitewave","finitewave/__init__.py",".py","2508","110"," """""" finitewave ========== A Python package for simulating cardiac electrophysiology in 2D and 3D using the finite difference method. This package provides a set of tools for simulating cardiac electrophysiology in 2D and 3D using the finite difference method. The package includes classes for creating cardiac tissue models, tracking electrical activity, and visualizing simulation results. The package is designed to be flexible and extensible, allowing users to create custom models and trackers for their specific research needs. """""" from finitewave.core import ( Command, CommandSequence, FibrosisPattern, CardiacModel, StateLoader, StateSaver, StateSaverCollection, Stencil, StimCurrent, StimSequence, StimVoltage, Stim, CardiacTissue, Tracker, TrackerSequence ) from finitewave.cpuwave2D import ( IncorrectWeightsModeError2D, Diffuse2DPattern, Structural2DPattern, AlievPanfilov2D, Barkley2D, MitchellSchaeffer2D, FentonKarma2D, BuenoOrovio2D, LuoRudy912D, TP062D, Courtemanche2D, AsymmetricStencil2D, SymmetricStencil2D, IsotropicStencil2D, StimCurrentArea2D, StimCurrentCoord2D, StimVoltageCoord2D, StimCurrentMatrix2D, StimVoltageMatrix2D, CardiacTissue2D, ActionPotential2DTracker, ActivationTime2DTracker, Animation2DTracker, ECG2DTracker, LocalActivationTime2DTracker, MultiVariable2DTracker, Period2DTracker, PeriodAnimation2DTracker, SpiralWaveCore2DTracker, Variable2DTracker, ) from finitewave.cpuwave3D import ( Diffuse3DPattern, Structural3DPattern, AlievPanfilov3D, Barkley3D, MitchellSchaeffer3D, FentonKarma3D, BuenoOrovio3D, LuoRudy913D, TP063D, Courtemanche3D, AsymmetricStencil3D, IsotropicStencil3D, StimCurrentCoord3D, StimVoltageCoord3D, StimCurrentMatrix3D, StimVoltageMatrix3D, StimVoltageListMatrix3D, StimCurrentArea3D, CardiacTissue3D, ActionPotential3DTracker, ActivationTime3DTracker, LocalActivationTime3DTracker, AnimationSlice3DTracker, ECG3DTracker, Period3DTracker, SpiralWaveCore3DTracker, Variable3DTracker, MultiVariable3DTracker, VTKFrame3DTracker, Animation3DTracker, PeriodAnimation3DTracker ) from finitewave.tools import ( Animation2DBuilder, Animation3DBuilder, VisMeshBuilder3D, Velocity2DCalculation, Velocity3DCalculation, ) ","Python" "Cell biology","finitewave/Finitewave","finitewave/tools/animation_2d_builder.py",".py","2748","87","from pathlib import Path import shutil from natsort import natsorted import ffmpeg import numpy as np import matplotlib.pyplot as plt from tqdm import tqdm class Animation2DBuilder: def __init__(self): pass def write(self, path, animation_name='animation', mask=None, shape_scale=1, fps=12, clim=[0, 1], shape=(100, 100), cmap=""coolwarm"", clear=False, prog_bar=False): """""" Write an animation from a folder with snapshots. Parameters ---------- path : str or Path Path to the folder with snapshots. animation_name : str Name of the animation file. mask : ndarray Mask to apply to the frames. shape_scale : int Scale factor for the frames. fps : int Frames per second. clim : list Color limits for the colormap. shape : tuple Shape of the frames. cmap : str Matplotlib colormap to use. clear : bool Clear the snapshot folder after writing the animation. prog_bar : bool Show progress bar. """""" path = Path(path) path_save = path.parent.joinpath(animation_name).with_suffix("".mp4"") files = natsorted(path.glob(""*.npy"")) height, width = np.array(shape) * shape_scale cmap = plt.get_cmap(cmap) with ( ffmpeg .input('pipe:', format='rawvideo', pix_fmt='rgb24', s=f'{width}x{height}', framerate=fps) .output(path_save.as_posix(), pix_fmt='yuv420p') .overwrite_output() .run_async(pipe_stdin=True, quiet=True) ) as process: # Write frames to FFmpeg process for file in tqdm(files, desc='Building animation', disable=not prog_bar): frame = np.load(file.with_suffix("".npy"")) # Normalize the frame data to the colormap mask_ = (frame < clim[0]) | (frame > clim[1]) if mask is not None: mask_ |= mask frame = (frame - clim[0]) / (clim[1] - clim[0]) frame[mask_] = np.nan frame = (cmap(frame, bytes=True)[:, :, :3]).astype(""uint8"") # Upscale the frame if necessary if shape_scale > 1: frame = np.repeat(np.repeat(frame, shape_scale, axis=0), shape_scale, axis=1) process.stdin.write(frame.tobytes()) # Close the FFmpeg process process.stdin.close() process.wait() if clear: shutil.rmtree(path) ","Python" "Cell biology","finitewave/Finitewave","finitewave/tools/velocity_3d_calculation.py",".py","2621","87","import numpy as np from scipy import spatial from skimage import measure from finitewave.tools.velocity_2d_calculation import Velocity2DCalculation class Velocity3DCalculation(Velocity2DCalculation): """""" Class for calculating the velocity of the wavefront. """""" def __init__(self): super().__init__() @staticmethod def velocity_vector(act_t, dr, orientation=False, t_max=None, t_min=None): """""" Computes the velocity of the wavefront from a single source based on the elliptical shape of the wavefront. Parameters ---------- act_t : numpy.ndarray 2D array of activation times. dr : float Spatial resolution. orientation : bool If True, the angle of the major axis of the ellipse is returned. Returns ------- tuple Tuple of the major and minor components of the velocity. """""" if t_min is None: t_min = np.min(act_t[act_t >= 0]) if t_max is None: t_max = np.max(act_t) mask = (act_t >= t_min) & (act_t <= t_max) res = Velocity3DCalculation.calc_ellipsoid_axes(mask) major, medium, minor, theta, phi = res major_velocity = major * dr / (t_max - t_min) medium_velocity = medium * dr / (t_max - t_min) minor_velocity = minor * dr / (t_max - t_min) if orientation: return major_velocity, medium_velocity, minor_velocity, theta, phi return major_velocity, medium_velocity, minor_velocity @staticmethod def calc_ellipsoid_axes(mask): """""" Calculate the major, medium and minor axes of the ellipsoid that best fits the wavefront. Parameters ---------- mask : numpy.ndarray 3D array of the wavefront. Returns ------- tuple Major, medium, minor axes and the angles theta and phi. """""" cov_matrix = measure.inertia_tensor(mask.astype(int)) eigvals, eigvecs = np.linalg.eig(cov_matrix) sorted_ids = np.argsort(eigvals)[::-1] eigvals = eigvals[sorted_ids] eigvecs = eigvecs[:, sorted_ids] major = np.sqrt(2.5 * (eigvals[0] + eigvals[1] - eigvals[2])) medium = np.sqrt(2.5 * (eigvals[0] - eigvals[1] + eigvals[2])) minor = np.sqrt(2.5 * (-eigvals[0] + eigvals[1] + eigvals[2])) major_vec = eigvecs[:, 2] theta = np.arccos(major_vec[2]) phi = np.arctan2(major_vec[1], major_vec[0]) return major, medium, minor, theta, phi ","Python" "Cell biology","finitewave/Finitewave","finitewave/tools/__init__.py",".py","274","6","from .animation_2d_builder import Animation2DBuilder from .animation_3d_builder import Animation3DBuilder from .velocity_2d_calculation import Velocity2DCalculation from .velocity_3d_calculation import Velocity3DCalculation from .vis_mesh_builder_3d import VisMeshBuilder3D ","Python" "Cell biology","finitewave/Finitewave","finitewave/tools/velocity_2d_calculation.py",".py","2780","104","import numpy as np from scipy import spatial from skimage import measure class Velocity2DCalculation: """""" Class for calculating the velocity of the wavefront. """""" def __init__(self): pass @staticmethod def front_velocity(act_t, dr): """""" Computes the front velocity of activation based on the activation times. Parameters ---------- act_t : numpy.ndarray Activation times. dr : float Spatial resolution. Returns ------- numpy.ndarray Velocity of the wavefront. """""" min_time = np.min(act_t[act_t >= 0]) max_time = np.max(act_t) start_coords = np.argwhere(act_t == min_time) current_coords = np.argwhere(act_t == max_time) tree = spatial.KDTree(start_coords) dist, _ = tree.query(current_coords) front_vel = np.zeros(act_t.shape) front_vel = dist * dr / (max_time - min_time) return front_vel @staticmethod def velocity_vector(act_t, dr, orientation=False, t_min=None, t_max=None): """""" Computes the velocity of the wavefront from a single source based on the elliptical shape of the wavefront. Parameters ---------- act_t : numpy.ndarray 2D array of activation times. dr : float Spatial resolution. orientation : bool If True, the angle of the major axis of the ellipse is returned. Returns ------- tuple Tuple of the major and minor components of the velocity. """""" if t_min is None: t_min = np.min(act_t[act_t >= 0]) if t_max is None: t_max = np.max(act_t) mask = (act_t >= t_min) & (act_t <= t_max) major, minor, angle = Velocity2DCalculation.calc_ellipse_axes(mask) major_velocity = major * dr / (t_max - t_min) minor_velocity = minor * dr / (t_max - t_min) if orientation: return major_velocity, minor_velocity, angle return major_velocity, minor_velocity @staticmethod def calc_ellipse_axes(mask): """""" Calculate the major and minor axes of the ellipse that best fits the wavefront. Parameters ---------- mask : numpy.ndarray 2D array of the wavefront. Returns ------- tuple Major and minor axes and the angle of the ellipse. """""" props = measure.regionprops(mask.astype(int)) major = 0.5 * props[0].major_axis_length minor = 0.5 * props[0].minor_axis_length orientation = props[0].orientation return major, minor, orientation ","Python" "Cell biology","finitewave/Finitewave","finitewave/tools/vis_mesh_builder_3d.py",".py","3289","112","import pyvista as pv import numpy as np class VisMeshBuilder3D: """"""Class to build a 3D mesh for visualization with pyvista. Attributes: ------------ grid : pv.UnstructuredGrid) Masked grid with cells where mesh > 0. full_grid : pv.ImageData Full grid with all cells. """""" def __init__(self): self.grid = None self.full_grid = None def build_mesh(self, mesh): """"""Build a Unstructured Grid from 3D mesh where mesh > 0. Parameters: ------------ mesh : np.array 3D mesh with cardiomyocytes (elems = 1), empty space (elems = 0), and fibrosis (elems = 2). Returns: ------------ grid : pv.UnstructuredGrid Masked grid with cells where mesh > 0. """""" grid = pv.ImageData() grid.dimensions = np.array(mesh.shape) + 1 grid.spacing = (1, 1, 1) grid.cell_data['mesh'] = mesh.astype(float).flatten(order='F') self.full_grid = grid # Threshold the mesh to remove empty space self.grid = grid.threshold(0.5) self._mesh = mesh return self.grid def add_scalar(self, scalars, name='Scalars'): """""" Add a scalar field to the mesh. The scalar field is flattened and only the values of the non-empty space are added to the mesh. Parameters ---------- scalars : np.array 3D scalar field. name : str, optional Name of the scalar. Default is 'Scalars'. Returns ------- grid : pv.UnstructuredGrid Grid with the scalar field added. """""" if scalars.shape != self._mesh.shape: raise ValueError(""Scalars must have the same shape asthe mesh."") scalars_flat = scalars.T[self._mesh.T > 0].flatten(order='F') self.grid.cell_data[name] = scalars_flat self.grid.set_active_scalars(name) return self.grid def flatten_scalars(self, scalars): """""" """""" if scalars.shape != self._mesh.shape: raise ValueError(""Scalars must have the same shape asthe mesh."") scalars_flat = scalars.T[self._mesh.T > 0].flatten(order='F') return scalars_flat def add_vector(self, vectors, name='Vectors'): """""" Add a vector field to the mesh. The vector field is flattened and only the values of the non-empty space are added to the mesh. Parameters ---------- vectors : np.array 3D vector field. name : str, optional Name of the vector. Default is 'Vectors'. Returns ------- grid : pv.UnstructuredGrid Grid with the vector field added. """""" if vectors.shape != self._mesh.shape + (3,): raise ValueError(""Vectors must have the same shape as the mesh."") vectors_list = [] for i in range(3): x = vectors[:, :, :, i].T x_flat = x[self._mesh.T > 0].flatten(order='F') vectors_list.append(x_flat) vectors_flat = np.column_stack(vectors_list) self.grid.cell_data[name] = vectors_flat self.grid.set_active_vectors(name) return self.grid ","Python" "Cell biology","finitewave/Finitewave","finitewave/tools/animation_3d_builder.py",".py","3596","107","from pathlib import Path import numpy as np import pyvista as pv from natsort import natsorted from tqdm import tqdm from finitewave.tools.vis_mesh_builder_3d import VisMeshBuilder3D class Animation3DBuilder: def __init__(self) -> None: pass def load_scalar(self, path, mask=None): """"""Load the scalar field from a file. Args: path (str): Path to the snapshot folder. mask (np.array, optional): Mask to apply to the scalar field. Returns: np.array: Scalar field. """""" scalar = np.load(path).astype(float) if mask is None: return scalar if mask.shape == scalar.shape: return scalar if mask[mask > 0].shape == scalar.shape: scalar_mesh = np.zeros_like(mask, dtype=float) scalar_mesh[mask > 0] = scalar return scalar_mesh raise ValueError(""Mask and scalar must have the same shape, or scalar"" + "" must have the same shape as mask[mask > 0]"") def write(self, path, mask=None, path_save=None, window_size=(800, 800), clim=[0, 1], scalar_name=""Scalar"", animation_name=""animation"", cmap=""viridis"", scalar_bar=False, format=""mp4"", prog_bar=True, **kwargs): """"""Write the animation to a file. Args: path (str): Path to the snapshot folder. mask (np.array, optional): Mask to apply to the scalar field. Defaults to None. path_save (str, optional): Path to save the animation. Defaults is parent directory of path. window_size (tuple, optional): Size of the window. Defaults to (800, 800). clim (list, optional): Color limits. Defaults to [0, 1]. scalar_name (str, optional): Name of the scalar field. Defaults to ""Scalar"". cmap (str, optional): Color map. Defaults to ""viridis"". scalar_bar (bool, optional): Show scalar bar. Defaults to False. format (str, optional): Format of the animation. Defaults to ""mp4"". Other options are ""gif"". """""" files = natsorted(Path(path).glob(""*.npy"")) if len(files) == 0: raise ValueError(""No files found"") if path_save is None: path_save = path.parent scalar = self.load_scalar(files[0], mask) if mask is None: mask = np.ones_like(scalar) mesh_builder = VisMeshBuilder3D() mesh_builder.build_mesh(mask) pl = pv.Plotter(notebook=False, off_screen=True, window_size=window_size) if format == ""mp4"": pl.open_movie(Path(path_save).joinpath(f'{animation_name}.mp4'), **kwargs) elif format == ""gif"": pl.open_gif(str(Path(path_save).joinpath(f'{animation_name}.gif')), **kwargs) else: raise ValueError(""Format must be 'mp4' or 'gif'"") mesh_builder.add_scalar(scalar, scalar_name) pl.add_mesh(mesh_builder.grid, scalars=scalar_name, clim=clim, cmap=cmap, show_scalar_bar=scalar_bar) pl.show(auto_close=False) pl.write_frame() for filename in tqdm(files[1:], disable=not prog_bar, desc=""Building animation""): scalar = self.load_scalar(filename, mask) mesh_builder.add_scalar(scalar, scalar_name) pl.write_frame() pl.close() ","Python" "Cell biology","finitewave/Finitewave","finitewave/core/__init__.py",".py","481","9","from finitewave.core.command import Command, CommandSequence from finitewave.core.fibrosis import FibrosisPattern from finitewave.core.model import CardiacModel from finitewave.core.state import StateLoader, StateSaver, StateSaverCollection from finitewave.core.stencil import Stencil from finitewave.core.stimulation import StimCurrent, StimSequence, StimVoltage, Stim from finitewave.core.tissue import CardiacTissue from finitewave.core.tracker import Tracker, TrackerSequence ","Python" "Cell biology","finitewave/Finitewave","finitewave/core/model/cardiac_model.py",".py","7531","240","from abc import ABC, abstractmethod import copy import warnings from tqdm import tqdm import numpy as np import numba class CardiacModel(ABC): """""" Base class for electrophysiological models. This class serves as the base for implementing various cardiac models. It provides methods for initializing the model, running simulations, and managing the state of the simulation. Attributes ---------- cardiac_tissue : CardiacTissue The tissue object that represents the cardiac tissue in the simulation. stim_sequence : StimSequence The sequence of stimuli applied to the cardiac tissue. tracker_sequence : TrackerSequence The sequence of trackers used to monitor the simulation. command_sequence : CommandSequence The sequence of commands to execute during the simulation. state_loader : StateLoader The object responsible for loading the state of the simulation. state_saver : StateSaver The object responsible for saving the state of the simulation. stencil : Stencil The stencil used for numerical computations. u : ndarray Array representing the action potential (mV) across the tissue. u_new : ndarray Array for storing the updated action potential values. dt : float Time step for the simulation. dr : float Spatial step for the simulation. t_max : float Maximum time for the simulation (model units). t : float Current time in the simulation (model units). step : int Current step or iteration in the simulation. D_model : float Model-specific diffusion coefficient. prog_bar : bool Whether to display a progress bar during simulation. npfloat : type The floating-point type used for numerical computations. state_vars : list List of state variables to save and load during simulation. """""" def __init__(self): self.meta = {} self.cardiac_tissue = None self.stim_sequence = None self.tracker_sequence = None self.command_sequence = None self.state_loader = None self.state_saver = None self.stencil = None self.diffusion_kernel = None self.ionic_kernel = None self.u = np.ndarray self.u_new = np.ndarray self.weights = np.ndarray self.dt = 0. self.dr = 0. self.t_max = 0. self.t = 0 self.step = 0 self.D_model = 1. self.prog_bar = True self.npfloat = np.float64 self.state_vars = [] @abstractmethod def run_ionic_kernel(self): """""" Abstract method for running the ionic kernel. Must be implemented by subclasses. """""" pass def initialize(self): """""" Initializes the model for simulation. Sets up arrays, computes weights, and initializes stimuli, trackers, and commands. """""" self.u = np.zeros_like(self.cardiac_tissue.mesh, dtype=self.npfloat) self.u_new = self.u.copy() self.step = 0 self.t = 0 self.compute_weights() self.diffusion_kernel = self.stencil.select_diffusion_kernel() if self.stim_sequence: self.stim_sequence.initialize(self) if self.tracker_sequence: self.tracker_sequence.initialize(self) if self.command_sequence: self.command_sequence.initialize(self) if self.state_loader: self.state_loader.initialize(self) if self.state_saver: self.state_saver.initialize(self) def compute_weights(self): """""" Computes the weights for the stencil. """""" self.cardiac_tissue.compute_myo_indexes() if self.stencil is None: self.stencil = self.select_stencil(self.cardiac_tissue) self.weights = self.stencil.compute_weights(self, self.cardiac_tissue) def run(self, initialize=True, num_of_theads=None): """""" Runs the simulation loop. Handles stimuli, diffusion, ionic kernel updates, and tracking. Parameters ---------- initialize : bool, optional Whether to (re)initialize the model before running the simulation. Default is True. """""" if initialize: self.initialize() numba.set_num_threads(numba.config.NUMBA_NUM_THREADS) if num_of_theads is not None: if num_of_theads > numba.config.NUMBA_NUM_THREADS: warnings.warn( f""Selected number of threads ({num_of_theads}) exceeds the available threads ({numba.config.NUMBA_NUM_THREADS}). "" f""Using the maximum available threads instead."" ) num_of_theads = min(num_of_theads, numba.config.NUMBA_NUM_THREADS) numba.set_num_threads(num_of_theads) if self.t_max < self.t: raise ValueError(""t_max must be greater than current t."") if self.state_loader: self.state_loader.load() iters = int(np.ceil((self.t_max - self.t) / self.dt)) bar_desc = f""Running {self.__class__.__name__}"" for _ in tqdm(range(iters), total=iters, desc=bar_desc, disable=not self.prog_bar): if self.stim_sequence: self.stim_sequence.stimulate_next() self.run_diffusion_kernel() self.run_ionic_kernel() if self.tracker_sequence: self.tracker_sequence.tracker_next() self.t += self.dt self.step += 1 self.u_new, self.u = self.u, self.u_new if self.command_sequence: self.command_sequence.execute_next() if self.state_saver: self.state_saver.save() if self.check_termination(): if self.state_saver: self.state_saver.save() break def check_termination(self): """""" Checks whether the simulation should terminate based on the current time. The ``CommandSequence`` may change the ``t_max`` value during execution to control the simulation duration. Returns ------- bool True if the simulation should terminate, False otherwise. """""" max_iters = int(np.ceil(self.t_max / self.dt)) return (self.t > self.t_max) or (self.step > max_iters) def run_diffusion_kernel(self): """""" Executes the diffusion kernel computation using the current parameters and tissue weights. """""" self.diffusion_kernel(self.u_new, self.u, self.weights, self.cardiac_tissue.myo_indexes) @abstractmethod def select_stencil(self, cardiac_tissue): """""" Selects the appropriate stencil based on the cardiac tissue properties. Parameters ---------- cardiac_tissue : CardiacTissue The tissue object representing the cardiac tissue. Returns ------- Stencil The stencil object to use for diffusion computations. """""" pass def clone(self): """""" Creates a deep copy of the current model instance. Returns ------- CardiacModel A deep copy of the current CardiacModel instance. """""" return copy.deepcopy(self) ","Python" "Cell biology","finitewave/Finitewave","finitewave/core/model/__init__.py",".py","60","1","from finitewave.core.model.cardiac_model import CardiacModel","Python" "Cell biology","finitewave/Finitewave","finitewave/core/stimulation/stim_voltage.py",".py","1676","50","from finitewave.core.stimulation.stim import Stim class StimVoltage(Stim): """"""A stimulation class that sets a voltage value in the cardiac model. This class represents a specific type of stimulation where a voltage value is applied to the model at a specified time. It extends the base ``Stim`` class and provides functionality for managing the stimulation process, including preparing and finalizing the stimulation. Attributes ---------- volt_value : float The voltage value to be applied during the stimulation. """""" def __init__(self, time, volt_value, duration=0.0): """""" Initializes the StimVoltage object with the specified time and voltage value. Parameters ---------- time : float The time at which the voltage stimulation is to occur. volt_value : float The voltage value to be applied during the stimulation. duration : float, optional The duration for which the voltage will be applied. The default value is 0.0, indicating that the voltage will be applied instantaneously. """""" super().__init__(time, duration) self.volt_value = volt_value def initialize(self, model): """""" Prepares the stimulation for application. This method sets the ``passed`` flag to ``False``, indicating that the stimulation has not yet been applied. Parameters ---------- model : CardiacModel The simulation model to which the voltage stimulation will be applied. """""" self.passed = False ","Python" "Cell biology","finitewave/Finitewave","finitewave/core/stimulation/__init__.py",".py","246","4","from finitewave.core.stimulation.stim_current import StimCurrent from finitewave.core.stimulation.stim_sequence import StimSequence from finitewave.core.stimulation.stim_voltage import StimVoltage from finitewave.core.stimulation.stim import Stim","Python" "Cell biology","finitewave/Finitewave","finitewave/core/stimulation/stim_sequence.py",".py","2467","78","class StimSequence: """"""A sequence of stimuli to be applied to the cardiac model. This class manages a list of stimulation objects and applies them to the model based on the simulation time. It handles the initialization of stimuli, adding and removing stimuli, and applying the next set of stimuli in the sequence. Attributes ---------- sequence : list A list of ``Stim`` objects representing the sequence of stimuli to be applied to the model. model : CardiacModel, optional The cardiac model to which the stimuli will be applied. This is set during initialization. """""" def __init__(self): """""" Initializes the StimSequence object with an empty sequence and no associated model. """""" self.sequence = [] self.model = None def initialize(self, model): """""" Prepares each stimulus in the sequence for application. This method sets up each stimulus based on the provided model ensuring that each stimulus is ready to be applied according to its specified start time. Parameters ---------- model : CardiacModel The simulation model that will be used to prepare the stimuli. """""" self.model = model for stim in self.sequence: stim.initialize(model) def add_stim(self, stim): """""" Adds a stimulus to the sequence. Parameters ---------- stim : Stim The ``Stim`` object to be added to the sequence. """""" self.sequence.append(stim) def remove_stim(self): """""" Removes all stimuli from the sequence. This method clears the sequence, effectively removing all stimuli that were previously added. """""" self.sequence = [] def stimulate_next(self): """""" Applies the next set of stimuli based on the current time in the model. This method checks each stimulus in the sequence to determine if it should be applied based on the current simulation time. If a stimulus is due to be applied and has not yet been marked as passed, it is stimulated and then marked as done. """""" for stim in self.sequence: if self.model.t >= stim.t and not stim.passed: stim.stimulate(self.model) stim.update_status(self.model) ","Python" "Cell biology","finitewave/Finitewave","finitewave/core/stimulation/stim.py",".py","1624","57","from abc import ABC, abstractmethod class Stim(ABC): """"""Base class for stimulation in cardiac models. The ``Stim`` class represents a general stimulation object used in cardiac simulations. It provides methods to manage the timing and state of stimulation. Subclasses should implement specific stimulation behaviors. Attributes ---------- t : float The time at which the stimulation is to occur. duration : float The duration for which the stimulation will be applied. passed : bool A flag indicating whether the stimulation has been applied. """""" def __init__(self, time, duration=0.0): """""" Initializes the Stim object with the specified time. Parameters ---------- time : float The time at which the stimulation is scheduled to occur. duration : float, optional The duration for which the stimulation will be applied. The default value is 0.0, indicating that the stimulation will be applied instantaneously. """""" self.t = time self.duration = duration self.passed = False @abstractmethod def stimulate(self, model): """""" Applies the stimulation to the provided model. """""" pass @abstractmethod def initialize(self, model): """""" Prepares the stimulation for application. """""" pass def update_status(self, model): """""" Marks the stimulation as completed. """""" self.passed = model.t >= (self.t + self.duration) ","Python" "Cell biology","finitewave/Finitewave","finitewave/core/stimulation/stim_current.py",".py","1380","45","from finitewave.core.stimulation.stim import Stim class StimCurrent(Stim): """"""A stimulation class that applies a current value to the cardiac model. This class represents a type of stimulation where a current is applied to the model for a specified duration. It extends the base ``Stim`` class and includes methods for preparing the stimulation and updating its status based on elapsed time. Attributes ---------- curr_value : float The current value to be applied during the stimulation. """""" def __init__(self, time, curr_value, duration): """""" Initializes the StimCurrent object with the specified parameters. Parameters ---------- time : float The time at which the current stimulation is to start. curr_value : float The current value to be applied during the stimulation. duration : float The duration for which the current will be applied. """""" super().__init__(time, duration) self.curr_value = curr_value def initialize(self, model): """""" Prepares the stimulation for application. Parameters ---------- model : CardiacModel The simulation model to which the current stimulation will be applied. """""" self.passed = False ","Python" "Cell biology","finitewave/Finitewave","finitewave/core/state/__init__.py",".py","137","2","from finitewave.core.state.state_loader import StateLoader from finitewave.core.state.state_saver import StateSaver, StateSaverCollection","Python" "Cell biology","finitewave/Finitewave","finitewave/core/state/state_saver.py",".py","3427","123","from pathlib import Path import numpy as np class StateSaver: """""" This class provides functionality to save the state of a simulation model, including all relevant variables specified in the model's ``state_vars`` attribute. Attributes ---------- path : str Directory path where the simulation state will be saved. passed : bool Whether the state has been saved. model : CardiacModel The model instance for which the state will be saved or saved. time : float The time at which to save the state of the simulation. """""" def __init__(self, path=""."", time=-1): """""" Initializes the state keeper with the given path. Parameters ---------- path : str, optional The directory path where the simulation state will be saved. The default is ""."". time : float, optional The time at which to save the state of the simulation. The default is -1 (save at the end of the simulation). """""" self.path = path self.passed = False self.model = None self.time = time def initialize(self, model): """""" Initializes the state keeper with the given model. Parameters ---------- model : CardiacModel The model instance for which the state will be saved or saved. """""" self.model = model self.passed = self.path == """" def save(self): """""" Saves the state of the given model to the specified ``path`` directory. This method creates the necessary directories if they do not exist and saves each variable listed in the model's ``state_vars`` attribute as a numpy file. """""" if self.passed: return if self.time < 0 and self.model.t < self.model.t_max: return if self.time >= 0 and self.model.t < self.time: return if not Path(self.path).exists(): Path(self.path).mkdir(parents=True, exist_ok=True) for var in self.model.state_vars: self._save_variable(Path(self.path).joinpath(var + "".npy""), self.model.__dict__[var]) self.passed = True def _save_variable(self, var_path, var): """""" Saves a variable to a numpy file. Parameters ---------- var_path : str The file path where the variable will be saved. var : numpy.ndarray The variable to be saved. """""" np.save(var_path, var) class StateSaverCollection(StateSaver): """""" This class saves multiple states of a simulation model. Attributes ---------- savers : list List of StateSaver objects. """""" def __init__(self): super().__init__() self.savers = [] def initialize(self, model): """""" Initializes the state saver collection with the given model. Parameters ---------- model : CardiacModel The model instance for which the state will be saved or saved. """""" for saver in self.savers: saver.initialize(model) def save(self): """""" Applies the save method to each StateSaver object in the collection. """""" for saver in self.savers: saver.save() ","Python" "Cell biology","finitewave/Finitewave","finitewave/core/state/state_loader.py",".py","2307","81","from pathlib import Path import numpy as np class StateLoader: """""" This class provides functionality to load the state of a simulation model, including all relevant variables specified in the model's ``state_vars`` attribute. Attributes ---------- path : str Directory path from where the simulation state will be loaded. passed : bool Whether the state has been loaded. model : CardiacModel The model instance for which the state will be saved or loaded. """""" def __init__(self, path=""""): """""" Initializes the state keeper with the given path. Parameters ---------- path : str, optional The directory path from where the simulation state will be loaded. """""" self.path = path self.passed = True self.model = None def initialize(self, model): """""" Initializes the state keeper with the given model. Parameters ---------- model : CardiacModel The model instance for which the state will be saved or loaded. """""" self.model = model self.passed = self.path == """" if not Path(self.path).exists(): message = (f""Unable to load state from {self.path}. "" + ""Directory does not exist."") raise FileNotFoundError(message) def load(self): """""" Loads the state from the specified ``path`` directory and sets it in the given model. This method loads each variable listed in the model's ``state_vars`` attribute from numpy files and sets these variables in the model. """""" if self.passed: return for var in self.model.state_vars: val = self._load_variable(Path(self.path).joinpath(var + "".npy"")) setattr(self.model, var, val) self.passed = True def _load_variable(self, var_path): """""" Loads a state variable from a numpy file. Parameters ---------- var_path : str The file path from which the variable will be loaded. Returns ------- numpy.ndarray The variable loaded from the file. """""" return np.load(var_path) ","Python" "Cell biology","finitewave/Finitewave","finitewave/core/exception/__init__.py",".py","73","1","from finitewave.core.exception.exceptions import IncorrectNumberOfWeights","Python" "Cell biology","finitewave/Finitewave","finitewave/core/exception/exceptions.py",".py","1398","47"," class IncorrectWeightsShapeError(Exception): def __init__(self, *args: object) -> None: super().__init__(*args) class IncorrectNumberOfWeights(Exception): """"""Exception raised for errors in the shape of weights in the ``CardiacTissue`` class. This exception is used to indicate that the shape of weights provided does not match the expected dimensions. It includes details about the incorrect shape and the expected shapes. Parameters ---------- number_of_weights : int The number of weights in the incorrect shape. n1 : int The target number of weights in one dimension. n2 : int The target number of weights in another dimension. """""" def __init__(self, number_of_weights, n1, n2): """""" Initializes the ``IncorrectNumberOfWeights`` with details about the incorrect shape and expected dimensions. Parameters ---------- number_of_weights : int The number of weights in the incorrect shape. n1 : int The target number of weights in one dimension. n2 : int The target number of weights in another dimension. """""" self.message = (f""Number of weights provided ({number_of_weights})"" + f""does not match the expected {n1} or {n2}."") super().__init__(self.message) ","Python" "Cell biology","finitewave/Finitewave","finitewave/core/command/command.py",".py","1330","53","from abc import ABC, abstractmethod class Command(ABC): """"""Base class for a command to be executed during a simulation. Attributes ---------- t : float The time at which the command should be executed. passed : bool Flag indicating whether the command has been executed. """""" def __init__(self, time=None): """""" Initializes a Command instance with the specified execution time. Parameters ---------- time : float The time at which the command should be executed. """""" self.t = time self.passed = False @abstractmethod def execute(self, model): """""" Abstract method for executing the command. This method should be implemented by subclasses to define the specific behavior of the command. Parameters ---------- model : CardiacModel The cardiac model instance on which the command will be executed. """""" pass def update_status(self, model): """""" Marks the command as executed. Parameters ---------- model : CardiacModel The cardiac model instance on which the command was executed """""" self.passed = model.t >= self.t return self.passed ","Python" "Cell biology","finitewave/Finitewave","finitewave/core/command/__init__.py",".py","120","2","from finitewave.core.command.command import Command from finitewave.core.command.command_sequence import CommandSequence","Python" "Cell biology","finitewave/Finitewave","finitewave/core/command/command_sequence.py",".py","1567","60"," class CommandSequence: """"""Manages a sequence of commands to be executed during a simulation. Attributes ---------- sequence : list A list of ``Command`` instances representing the sequence of commands to be executed. model : CardiacModel The cardiac model instance on which commands will be executed. """""" def __init__(self): self.sequence = [] self.model = None def initialize(self, model): """""" Initializes the CommandSequence with the specified model and resets the execution status of all commands. Parameters ---------- model : CardiacModel The cardiac model instance to be used for command execution. """""" self.model = model for command in self.sequence: command.passed = False def add_command(self, command): """""" Adds a ``Command`` instance to the sequence. Parameters ---------- command : Command The command instance to be added to the sequence. """""" self.sequence.append(command) def remove_commands(self): """""" Clears the sequence of all commands. """""" self.sequence = [] def execute_next(self): """""" Executes commands whose time has arrived and which have not been executed yet. """""" for command in self.sequence: if not command.passed and command.update_status(self.model): command.execute(self.model) ","Python" "Cell biology","finitewave/Finitewave","finitewave/core/tracker/tracker.py",".py","2817","102","from pathlib import Path from abc import ABC, abstractmethod import copy import numpy as np class Tracker(ABC): """"""Base class for trackers used in simulations. This class provides a base implementation for trackers that monitor and record various aspects of the simulation. Trackers can be used to gather data such as activation times, wave dynamics, or ECG readings. Attributes ---------- model : CardiacModel The simulation model to which the tracker is attached. This allows the tracker to access the model's state and data during the simulation. file_name : str The name of the file where the tracked data will be saved. Default is an empty string. path : str The directory path where the tracked data will be saved. Default is the current directory. start_time : float The time step at which tracking will begin. Default is 0. end_time : float The time step at which tracking will end. Default is infinity. step : int The frequency at which tracking will occur. Default is 1. """""" # __metaclass__ = ABCMeta def __init__(self): self.model = None self.file_name = ""tracked_data"" self.path = ""."" self.start_time = 0 self.end_time = np.inf self.step = 1 @abstractmethod def initialize(self, model): """""" Abstract method to be implemented by subclasses for initializing the tracker with the simulation model. Parameters ---------- model : CardiacModel The simulation model to which the tracker will be attached. """""" pass @abstractmethod def _track(self): """""" Abstract method to be implemented by subclasses for tracking and recording data during the simulation. """""" pass def track(self): """""" Tracks and records data during the simulation. This method calls the ``_track`` method at the specified tracking frequency and within the specified time range. """""" if self.start_time > self.model.t or self.model.t > self.end_time: return # Check if the current time step is within the tracking frequency if self.model.step % self.step != 0: return self._track() def clone(self): """""" Creates a deep copy of the current tracker instance. Returns ------- Tracker A deep copy of the current Tracker instance. """""" return copy.deepcopy(self) def write(self): """""" Writes the tracked data to a file. """""" np.save(Path(self.path, self.file_name).with_suffix('.npy'), self.output) ","Python" "Cell biology","finitewave/Finitewave","finitewave/core/tracker/tracker_sequence.py",".py","1842","65","class TrackerSequence: """"""Manages a sequence of trackers for a simulation. The ``TrackerSequence`` class allows for the management of multiple ``Tracker`` instances. It provides methods to initialize trackers, add or remove trackers from the sequence, and iterate over the trackers to perform their tracking functions. Attributes ---------- sequence : list of Tracker List containing the trackers in the sequence. The trackers are executed in the order they are added. model : CardiacModel or None The simulation model to which the trackers are attached. It is set during initialization. """""" def __init__(self): """""" Initializes the TrackerSequence with an empty sequence and no model. """""" self.sequence = [] self.model = None def initialize(self, model): """""" Initializes all trackers in the sequence with the provided simulation model. Parameters ---------- model : CardiacModel The simulation model to which the trackers will be attached. """""" self.model = model for tracker in self.sequence: tracker.initialize(model) def add_tracker(self, tracker): """""" Adds a new tracker to the end of the sequence. Parameters ---------- tracker : Tracker The tracker instance to be added to the sequence. """""" self.sequence.append(tracker) def remove_trackers(self): """""" Removes all trackers from the sequence. """""" self.sequence = [] def tracker_next(self): """""" Executes the `track` method of each tracker in the sequence. """""" for tracker in self.sequence: tracker.track() ","Python" "Cell biology","finitewave/Finitewave","finitewave/core/tracker/__init__.py",".py","120","2","from finitewave.core.tracker.tracker import Tracker from finitewave.core.tracker.tracker_sequence import TrackerSequence","Python" "Cell biology","finitewave/Finitewave","finitewave/core/stencil/__init__.py",".py","51","1","from finitewave.core.stencil.stencil import Stencil","Python" "Cell biology","finitewave/Finitewave","finitewave/core/stencil/stencil.py",".py","1622","47","from abc import ABC, abstractmethod class Stencil(ABC): """"""Base class for calculating stencil weights used in numerical simulations. This abstract base class defines the interface for calculating stencil weights for numerical simulations. It includes a caching mechanism to optimize performance by reducing the number of symbolic calculations. Also, it handles the boundary conditions for the numerical scheme. """""" @abstractmethod def compute_weights(self, model, cardiac_tissue): """""" Computes the stencil weights based on the provided parameters. This method must be implemented by subclasses to compute the stencil weights used for numerical simulations. The weights are calculated based on the tissue mesh and spatial step. Additional parameters can be passed as arguments or keyword arguments. Parameters ---------- model : CardiacModel A model object containing the simulation parameters. cardiac_tissue : CardiacTissue A tissue object representing the cardiac tissue. Returns ------- np.ndarray A numpy array containing the stencil weights. """""" pass @abstractmethod def select_diffusion_kernel(): """""" Builds the diffusion kernel for the numerical scheme. This method must be implemented by subclasses to build the diffusion kernel used for the numerical scheme. The kernel is used to compute the diffusion of the potential in the tissue mesh. """""" pass ","Python" "Cell biology","finitewave/Finitewave","finitewave/core/fibrosis/__init__.py",".py","69","1","from finitewave.core.fibrosis.fibrosis_pattern import FibrosisPattern","Python" "Cell biology","finitewave/Finitewave","finitewave/core/fibrosis/fibrosis_pattern.py",".py","1744","52","from abc import ABC, abstractmethod class FibrosisPattern(ABC): """"""Abstract base class for generating and applying fibrosis patterns to cardiac tissue. This class defines an interface for creating fibrosis patterns and applying them to cardiac tissue models. Subclasses must implement the ``generate`` method to define specific patterns. The ``apply`` method uses the generated pattern to modify the mesh of the cardiac tissue. """""" def __init__(self): pass @abstractmethod def generate(self, shape=None, mesh=None): """""" Generates a fibrosis pattern for the given shape and optionally based on the provided mesh. Parameters ---------- shape : tuple The shape of the mesh (e.g., (ni, nj) or (ni, nj, nk)). mesh : numpy.ndarray, optional The existing mesh to base the pattern on. Default is None. Returns ------- numpy.ndarray A new mesh array with the applied fibrosis pattern. """""" def apply(self, cardiac_tissue): """""" Applies the generated fibrosis pattern to the specified cardiac tissue object. This method calls the ``generate`` method to create the pattern and then updates the ``mesh`` attribute of the ``cardiac_tissue`` object with the generated pattern. Parameters ---------- cardiac_tissue : CardiacTissue The cardiac tissue object to which the fibrosis pattern will be applied. The ``mesh`` attribute of this object will be updated with the generated pattern. """""" cardiac_tissue.mesh = self.generate(mesh=cardiac_tissue.mesh) ","Python" "Cell biology","finitewave/Finitewave","finitewave/core/tissue/__init__.py",".py","63","1","from finitewave.core.tissue.cardiac_tissue import CardiacTissue","Python" "Cell biology","finitewave/Finitewave","finitewave/core/tissue/cardiac_tissue.py",".py","2732","101","from abc import ABC, abstractmethod import copy import numpy as np class CardiacTissue(ABC): """"""Base class for a model tissue. This class represents the tissue model used in cardiac simulations. It includes attributes and methods for defining the tissue structure, ts properties, and handling fibrosis patterns. Attributes ---------- meta : dict A dictionary containing metadata about the tissue. special_boundaries : np.ndarray An array containing labels for special boundaries in the tissue mesh. This array is used to define Dirichlet boundary conditions as points with non-zero values are ignored in the solver. """""" def __init__(self): self.meta = {} self.special_boundaries = None @property def mesh(self): """""" Gets the tissue mesh array. Returns ------- numpy.ndarray The tissue mesh array. """""" return self._mesh @mesh.setter def mesh(self, mesh): """""" Sets the tissue mesh array. Parameters ---------- mesh : numpy.ndarray The tissue mesh array. """""" if mesh.ndim != self.meta['dim']: raise ValueError(""Mesh dimension must match the tissue dimension."") self._mesh = mesh self.add_boundaries() def compute_myo_indexes(self): """""" Computes flat indices of the myocytes in the tissue mesh. """""" if self.special_boundaries is not None: self.myo_indexes = np.flatnonzero((self.mesh == 1) & (self.special_boundaries == 0)) return self.myo_indexes = np.flatnonzero(self.mesh == 1) @abstractmethod def add_boundaries(self): """""" Abstract method to be implemented by subclasses for adding boundary conditions to the tissue mesh. """""" pass def add_pattern(self, fibro_pattern): """""" Applies a fibrosis pattern to the tissue mesh. Parameters ---------- fibro_pattern : FibrosisPattern A fibrosis pattern object to apply to the tissue mesh. """""" fibro_pattern.apply(self) def clean(self): """""" Removes all fibrosis points from the mesh, setting them to ``1`` (healthy tissue). """""" self.mesh[self.mesh == 2] = 1 def clone(self): """""" Creates a deep copy of the current ``CardiacTissue`` instance. Returns ------- CardiacTissue A deep copy of the current ``CardiacTissue`` instance. """""" return copy.deepcopy(self) ","Python" "Cell biology","finitewave/Finitewave","finitewave/cpuwave2D/__init__.py",".py","598","30","from .exception import IncorrectWeightsModeError2D from .fibrosis import ( Diffuse2DPattern, Structural2DPattern ) from .model import ( AlievPanfilov2D, Barkley2D, MitchellSchaeffer2D, FentonKarma2D, BuenoOrovio2D, LuoRudy912D, TP062D, Courtemanche2D ) from .stencil import ( AsymmetricStencil2D, IsotropicStencil2D, SymmetricStencil2D ) from .stimulation import ( StimCurrentArea2D, StimCurrentCoord2D, StimVoltageCoord2D, StimCurrentMatrix2D, StimVoltageMatrix2D ) from .tissue import CardiacTissue2D from .tracker import * ","Python" "Cell biology","finitewave/Finitewave","finitewave/cpuwave2D/model/fenton_karma_2d.py",".py","10064","330","import numpy as np from numba import njit, prange from finitewave.core.model.cardiac_model import CardiacModel from finitewave.cpuwave2D.stencil.asymmetric_stencil_2d import ( AsymmetricStencil2D ) from finitewave.cpuwave2D.stencil.isotropic_stencil_2d import ( IsotropicStencil2D ) class FentonKarma2D(CardiacModel): def __init__(self): """""" Two-dimensional implementation of the Fenton-Karma model of cardiac electrophysiology. The Fenton-Karma model is a minimal three-variable model designed to reproduce essential features of human ventricular action potentials, including restitution, conduction velocity dynamics, and spiral wave behavior. It captures the interaction between fast depolarization, slow repolarization, and calcium-mediated effects through simplified phenomenological equations. This implementation corresponds to the MLR-I parameter set described in the original paper and supports 2D isotropic and anisotropic tissue simulations with diffusion. Attributes ---------- u : np.ndarray Transmembrane potential (normalized, dimensionless). v : np.ndarray Fast recovery variable, representing sodium channel inactivation. w : np.ndarray Slow recovery variable, representing calcium channel dynamics. D_model : float Baseline diffusion coefficient used in the diffusion stencil. state_vars : list of str Names of the state variables stored during the simulation. npfloat : str Floating point precision (default is 'float64'). Model Parameters ---------------- tau_r : float Time constant for repolarization (outward current). tau_o : float Time constant for the open-state decay of fast sodium channels. tau_d : float Time constant for depolarization (fast inward current). tau_si : float Time constant for the slow inward (calcium-like) current. tau_v_m : float Time constant for inactivation gate v (membrane below threshold). tau_v_p : float Time constant for recovery gate v (above threshold). tau_w_m : float Time constant for recovery gate w (below threshold). tau_w_p : float Time constant for decay of w (above threshold). k : float Steepness parameter for the slow inward current. u_c : float Activation threshold for recovery dynamics. uc_si : float Activation threshold for the slow inward current. Paper ----- Fenton, F., & Karma, A. (1998). Vortex dynamics in three-dimensional continuous myocardium with fiber rotation: Filament instability and fibrillation. Chaos, 8(1), 20-47. https://doi.org/10.1063/1.166311 """""" super().__init__() self.v = np.ndarray self.w = np.ndarray self.D_model = 1. self.state_vars = [""u"", ""v"", ""w""] self.npfloat = 'float64' # model parameters (MLR-I) self.tau_r = 130 self.tau_o = 12.5 self.tau_d = 0.172 self.tau_si = 127 self.tau_v_m = 18.2 self.tau_v_p = 10 self.tau_w_m = 80 self.tau_w_p = 1020 self.k = 10 self.u_c = 0.13 self.uc_si = 0.85 # initial conditions self.init_u = 0.0 self.init_v = 1.0 self.init_w = 1.0 def initialize(self): """""" Initializes the model for simulation. """""" super().initialize() self.u = self.init_u * np.ones_like(self.u, dtype=self.npfloat) self.v = self.init_v * np.ones_like(self.u, dtype=self.npfloat) self.w = self.init_w * np.ones_like(self.u, dtype=self.npfloat) def run_ionic_kernel(self): """""" Executes the ionic kernel for the Fenton-Karma model. """""" ionic_kernel_2d(self.u_new, self.u, self.v, self.w, self.cardiac_tissue.myo_indexes, self.dt, self.tau_d, self.tau_o, self.tau_r, self.tau_si, self.tau_v_m, self.tau_v_p, self.tau_w_m, self.tau_w_p, self.k, self.u_c, self.uc_si) def select_stencil(self, cardiac_tissue): """""" Selects the appropriate stencil for diffusion based on the tissue properties. If the tissue has fiber directions, an asymmetric stencil is used; otherwise, an isotropic stencil is used. Parameters ---------- cardiac_tissue : CardiacTissue2D A tissue object representing the cardiac tissue. Returns ------- Stencil The stencil object to use for diffusion computations. """""" if cardiac_tissue.fibers is None: return IsotropicStencil2D() return AsymmetricStencil2D() @njit def calc_Jfi(u, v, u_c, tau_d): """""" Computes the fast inward current (J_fi) for the Fenton-Karma model. This current is responsible for the rapid depolarization of the membrane potential. It is active only when the membrane potential exceeds a threshold `u_c`. Parameters ---------- u : float Current membrane potential (dimensionless). v : float Fast recovery gate (sodium channel inactivation). u_c : float Activation threshold for the inward current. tau_d : float Time constant for depolarization. Returns ------- float Value of the fast inward current at this point. """""" H = 1.0 if (u - u_c) >= 0 else 0.0 return -(v*H*(1-u)*(u - u_c))/tau_d @njit def calc_Jso(u, u_c, tau_o, tau_r): """""" Computes the slow outward current (J_so) for repolarization. This current contains two parts: - a linear repolarizing component active below threshold `u_c` - a constant repolarizing component above threshold Parameters ---------- u : float Membrane potential. u_c : float Activation threshold. tau_o : float Time constant for subthreshold repolarization. tau_r : float Time constant for suprathreshold repolarization. Returns ------- float Value of the outward repolarizing current. """""" H1 = 1.0 if (u_c - u) >= 0 else 0.0 H2 = 1.0 if (u - u_c) >= 0 else 0.0 return u*H1/tau_o + H2/tau_r @njit def calc_Jsi(u, w, k, uc_si, tau_si): """""" Computes the slow inward (calcium-like) current (J_si). This current is responsible for the plateau phase of the action potential and depends on the gating variable `w` and a smoothed activation threshold. Parameters ---------- u : float Membrane potential. w : float Slow recovery gate. k : float Steepness of the tanh activation curve. uc_si : float Activation threshold for the slow inward current. tau_si : float Time constant for the slow inward current. Returns ------- float Value of the slow inward current. """""" return -w*(1 + np.tanh(k*(u - uc_si)))/(2*tau_si) @njit def calc_v(v, u, dt, u_c, tau_v_m, tau_v_p): """""" Updates the fast recovery gate `v` over time. This gate controls sodium channel availability and changes depending on whether the membrane potential is below or above a critical threshold. Parameters ---------- v : float Current value of the recovery variable. u : float Membrane potential. dt : float Time step. u_c : float Activation threshold. tau_v_m : float Time constant below threshold. tau_v_p : float Time constant above threshold. Returns ------- float Updated value of `v`. """""" H1 = 1.0 if (u_c - u) >= 0 else 0.0 H2 = 1.0 if (u - u_c) >= 0 else 0.0 v += dt*(H1*(1 - v)/tau_v_m - H2*v/tau_v_p) return v @njit def calc_w(w, u, dt, u_c, tau_w_m, tau_w_p): """""" Updates the slow recovery gate `w` over time. This gate represents the calcium channel recovery and decays similarly to `v`, depending on whether the membrane potential is above or below threshold `u_c`. Parameters ---------- w : float Current value of the recovery variable. u : float Membrane potential. dt : float Time step. u_c : float Activation threshold. tau_w_m : float Time constant below threshold. tau_w_p : float Time constant above threshold. Returns ------- float Updated value of `w`. """""" H1 = 1.0 if (u_c - u) >= 0 else 0.0 H2 = 1.0 if (u - u_c) >= 0 else 0.0 w += dt*(H1*(1 - w)/tau_w_m - H2*w/tau_w_p) return w @njit(parallel=True) def ionic_kernel_2d(u_new, u, v, w, indexes, dt, tau_d, tau_o, tau_r, tau_si, tau_v_m, tau_v_p, tau_w_m, tau_w_p, k, u_c, uc_si): """""" Computes the ionic kernel for the Fenton-Karma 2D model. Parameters ---------- u_new : np.ndarray Array to store the updated action potential values. u : np.ndarray Current action potential array. indexes : np.ndarray Array of indices where the kernel should be computed (``mesh == 1``). dt : float Time step for the simulation. """""" n_j = u.shape[1] for ind in prange(len(indexes)): ii = indexes[ind] i = int(ii / n_j) j = ii % n_j v[i, j] = calc_v(v[i, j], u[i, j], dt, u_c, tau_v_m, tau_v_p) w[i, j] = calc_w(w[i, j], u[i, j], dt, u_c, tau_w_m, tau_w_p) J_fi = calc_Jfi(u[i, j], v[i, j], u_c, tau_d) J_so = calc_Jso(u[i, j], u_c, tau_o, tau_r) J_si = calc_Jsi(u[i, j], v[i, j], k, uc_si, tau_si) u_new[i, j] += dt * (-J_fi - J_so - J_si) ","Python" "Cell biology","finitewave/Finitewave","finitewave/cpuwave2D/model/barkley_2d.py",".py","4734","167","import numpy as np from numba import njit, prange from finitewave.core.model.cardiac_model import CardiacModel from finitewave.cpuwave2D.stencil.asymmetric_stencil_2d import ( AsymmetricStencil2D ) from finitewave.cpuwave2D.stencil.isotropic_stencil_2d import ( IsotropicStencil2D ) class Barkley2D(CardiacModel): """""" Two-dimensional implementation of the Barkley model for excitable media. The Barkley model is a simplified two-variable reaction–diffusion system originally developed to study wave propagation in excitable media. While it is not biophysically detailed, it captures essential qualitative features of cardiac-like excitation dynamics such as spiral waves, wave break, and reentry. This implementation is included for benchmarking, educational purposes, and comparison against more detailed cardiac models. Attributes ---------- u : np.ndarray Excitation variable (analogous to membrane potential). v : np.ndarray Recovery variable controlling excitability. D_model : float Diffusion coefficient for excitation variable. state_vars : list of str Names of variables saved during simulation. npfloat : str Floating-point precision (default: 'float64'). Model Parameters ---------------- a : float Threshold-like parameter controlling excitability. b : float Recovery time scale. eap : float Controls sharpness of the activation term (nonlinear gain). Paper ----- Barkley, D. (1991). A model for fast computer simulation of waves in excitable media. Physica D: Nonlinear Phenomena, 61-70. https://doi.org/10.1016/0167-2789(86)90198-1. """""" def __init__(self): """""" Initializes the Barkley2D instance with default parameters. """""" super().__init__() self.v = np.ndarray self.D_model = 1. self.state_vars = [""u"", ""v""] self.npfloat = 'float64' # model parameters self.a = 0.75 self.b = 0.02 self.eap = 0.02 # initial conditions self.init_u = 0.0 self.init_v = 0 def initialize(self): """""" Initializes the model for simulation. """""" super().initialize() self.u = self.init_u * np.ones_like(self.u, dtype=self.npfloat) self.v = self.init_v * np.ones_like(self.u, dtype=self.npfloat) def run_ionic_kernel(self): """""" Executes the ionic kernel for the Barkley model. """""" ionic_kernel_2d(self.u_new, self.u, self.v, self.cardiac_tissue.myo_indexes, self.dt, self.a, self.b, self.eap) def select_stencil(self, cardiac_tissue): """""" Selects the appropriate stencil for diffusion based on the tissue properties. If the tissue has fiber directions, an asymmetric stencil is used; otherwise, an isotropic stencil is used. Parameters ---------- cardiac_tissue : CardiacTissue2D A tissue object representing the cardiac tissue. Returns ------- Stencil The stencil object to use for diffusion computations. """""" if cardiac_tissue.fibers is None: return IsotropicStencil2D() return AsymmetricStencil2D() @njit def calc_v(v, u, dt): """""" Updates the recovery variable v for the Barkley model. The recovery variable follows a simple linear relaxation toward the excitation variable `u`, simulating return to the resting state after excitation. Parameters ---------- v : float Current value of the recovery variable. u : float Current value of the excitation variable. dt : float Time step for numerical integration. Returns ------- float Updated value of the recovery variable. """""" v += dt*(u-v) return v @njit(parallel=True) def ionic_kernel_2d(u_new, u, v, indexes, dt, a, b, eap): """""" Computes the ionic kernel for the Barkley 2D model. Parameters ---------- u_new : np.ndarray Array to store the updated action potential values. u : np.ndarray Current action potential array. indexes : np.ndarray Array of indices where the kernel should be computed (``mesh == 1``). dt : float Time step for the simulation. """""" n_j = u.shape[1] for ind in prange(len(indexes)): ii = indexes[ind] i = int(ii / n_j) j = ii % n_j v[i, j] = calc_v(v[i, j], u[i, j], dt) u_new[i, j] += dt * (u[i, j]*(1 - u[i, j])*(u[i, j] - (v[i, j] + b)/a))/eap ","Python" "Cell biology","finitewave/Finitewave","finitewave/cpuwave2D/model/__init__.py",".py","333","9","from .aliev_panfilov_2d import AlievPanfilov2D from .barkley_2d import Barkley2D from .mitchell_schaeffer_2d import MitchellSchaeffer2D from .fenton_karma_2d import FentonKarma2D from .bueno_orovio_2d import BuenoOrovio2D from .luo_rudy91_2d import LuoRudy912D from .tp06_2d import TP062D from .courtemanche_2d import Courtemanche2D ","Python" "Cell biology","finitewave/Finitewave","finitewave/cpuwave2D/model/tp06_2d.py",".py","35424","1105","import numpy as np from numba import njit, prange from finitewave.core.model.cardiac_model import CardiacModel from finitewave.cpuwave2D.stencil.asymmetric_stencil_2d import ( AsymmetricStencil2D ) from finitewave.cpuwave2D.stencil.isotropic_stencil_2d import ( IsotropicStencil2D ) class TP062D(CardiacModel): """""" Implements the ten Tusscher–Panfilov 2006 (TP06) human ventricular ionic model in 2D. The TP06 model is a detailed biophysical model of the human ventricular action potential, designed to simulate realistic electrical behavior in tissue including alternans, reentrant waves, and spiral wave breakup. This model includes: - 18 dynamic state variables (voltage, ion concentrations, channel gates, buffers) - Full calcium handling with subspace (cass) and sarcoplasmic reticulum (casr) - Sodium, potassium, and calcium currents including background, exchanger, and pumps - Buffering effects and intracellular transport Finitewave provides this model in 2D form for efficient simulation and reproducible experimentation with custom spatial setups. Attributes ---------- D_model : float Diffusion coefficient specific to this model (cm²/ms). state_vars : list of str List of all state variable names, used for checkpointing and logging. ko : float Extracellular potassium concentration (mM). cao : float Extracellular calcium concentration (mM). nao : float Extracellular sodium concentration (mM). Vc : float Cytoplasmic volume (μL). Vsr : float Sarcoplasmic reticulum volume (μL). Vss : float Subsarcolemmal space volume (μL). R, T, F : float Universal gas constant, absolute temperature, and Faraday constant. RTONF : float Precomputed RT/F value for Nernst equation. CAPACITANCE : float Membrane capacitance per unit area (μF/cm²). gna, gcal, gkr, gks, gk1, gto : float Conductances for major ionic channels. gbna, gbca : float Background sodium and calcium conductances. gpca, gpk : float Pump-related conductances. knak, knaca : float Maximal Na⁺/K⁺ pump and Na⁺/Ca²⁺ exchanger rates. Km*, Kbuf*, Vmaxup, Vrel, etc. Numerous kinetic constants for buffering, pump activity, and calcium handling. Paper ----- ten Tusscher KH, Panfilov AV. Alternans and spiral breakup in a human ventricular tissue model. Am J Physiol Heart Circ Physiol. 2006 Sep;291(3):H1088–H1100. https://doi.org/10.1152/ajpheart.00109.2006 """""" def __init__(self): super().__init__() self.D_model = 0.154 self.state_vars = [""u"", ""cai"", ""casr"", ""cass"", ""nai"", ""Ki"", ""m"", ""h"", ""j"", ""xr1"", ""xr2"", ""xs"", ""r"", ""s"", ""d"", ""f"", ""f2"", ""fcass"", ""rr"", ""oo""] self.npfloat = 'float64' # Extracellular Ion Concentrations (mM) self.ko = 5.4 # Potassium extracellular concentration self.cao = 2.0 # Calcium extracellular concentration self.nao = 140.0 # Sodium extracellular concentration # Cell Volume (in uL) self.Vc = 0.016404 # Cytoplasmic volume self.Vsr = 0.001094 # Sarcoplasmic reticulum volume self.Vss = 0.00005468 # Subsarcolemmal space volume # Buffering Parameters self.Bufc = 0.2 # Cytoplasmic buffer concentration self.Kbufc = 0.001 # Cytoplasmic buffer affinity self.Bufsr = 10.0 # SR buffer concentration self.Kbufsr = 0.3 # SR buffer affinity self.Bufss = 0.4 # Subsarcolemmal buffer concentration self.Kbufss = 0.00025 # Subsarcolemmal buffer affinity # Calcium Handling Parameters self.Vmaxup = 0.006375 # Maximal calcium uptake rate self.Kup = 0.00025 # Calcium uptake affinity self.Vrel = 0.102 # Calcium release rate from SR self.k1_ = 0.15 # Transition rate for SR calcium release self.k2_ = 0.045 self.k3 = 0.060 self.k4 = 0.005 # Alternative transition rate self.EC = 1.5 # Calcium-induced calcium release sensitivity self.maxsr = 2.5 # Maximum SR calcium release permeability self.minsr = 1.0 # Minimum SR calcium release permeability self.Vleak = 0.00036 # SR calcium leak rate self.Vxfer = 0.0038 # Calcium transfer rate from subspace to cytosol # Physical Constants self.R = 8314.472 # Universal gas constant (J/(kmol·K)) self.F = 96485.3415 # Faraday constant (C/mol) self.T = 310.0 # Temperature (Kelvin, 37°C) self.RTONF = 26.71376 # RT/F constant for Nernst equation # Membrane Capacitance self.CAPACITANCE = 0.185 # Membrane capacitance (μF/cm²) # Ion Channel Conductances self.gkr = 0.153 # Rapid delayed rectifier K+ conductance self.gks = 0.392 # Slow delayed rectifier K+ conductance self.gk1 = 5.405 # Inward rectifier K+ conductance self.gto = 0.294 # Transient outward K+ conductance self.gna = 14.838 # Fast Na+ conductance self.gbna = 0.00029 # Background Na+ conductance self.gcal = 0.00003980 # L-type Ca2+ channel conductance self.gbca = 0.000592 # Background Ca2+ conductance self.gpca = 0.1238 # Sarcolemmal Ca2+ pump current conductance self.KpCa = 0.0005 # Sarcolemmal Ca2+ pump affinity self.gpk = 0.0146 # Na+/K+ pump current conductance # Na+/K+ Pump Parameters self.pKNa = 0.03 # Na+/K+ permeability ratio self.KmK = 1.0 # Half-saturation for K+ activation self.KmNa = 40.0 # Half-saturation for Na+ activation self.knak = 2.724 # Maximal Na+/K+ pump rate # Na+/Ca2+ Exchanger Parameters self.knaca = 1000 # Maximal Na+/Ca2+ exchanger current self.KmNai = 87.5 # Half-saturation for Na+ binding self.KmCa = 1.38 # Half-saturation for Ca2+ binding self.ksat = 0.1 # Saturation factor self.n_ = 0.35 # Exponent for Na+ dependence # initial conditions self.init_u = -84.5 self.init_cai = 0.00007 self.init_casr = 1.3 self.init_cass = 0.00007 self.init_nai = 7.67 self.init_Ki = 138.3 self.init_m = 0.0 self.init_h = 0.75 self.init_j = 0.75 self.init_xr1 = 0.0 self.init_xr2 = 1.0 self.init_xs = 0.0 self.init_r = 0.0 self.init_s = 1.0 self.init_d = 0.0 self.init_f = 1.0 self.init_f2 = 1.0 self.init_fcass = 1.0 self.init_rr = 1.0 self.init_oo = 0.0 def initialize(self): """""" Initializes the model's state variables and diffusion/ionic kernels. Sets up the initial values for membrane potential, ion concentrations, gating variables, and assigns the appropriate kernel functions. """""" super().initialize() shape = self.cardiac_tissue.mesh.shape self.u = self.init_u * np.ones(shape, dtype=self.npfloat) self.u_new = self.u.copy() self.cai = self.init_cai * np.ones(shape, dtype=self.npfloat) self.casr = self.init_casr * np.ones(shape, dtype=self.npfloat) self.cass = self.init_cass * np.ones(shape, dtype=self.npfloat) self.nai = self.init_nai * np.ones(shape, dtype=self.npfloat) self.Ki = self.init_Ki * np.ones(shape, dtype=self.npfloat) self.m = self.init_m * np.ones(shape, dtype=self.npfloat) self.h = self.init_h * np.ones(shape, dtype=self.npfloat) self.j = self.init_j * np.ones(shape, dtype=self.npfloat) self.xr1 = self.init_xr1 * np.ones(shape, dtype=self.npfloat) self.xr2 = self.init_xr2 * np.ones(shape, dtype=self.npfloat) self.xs = self.init_xs * np.ones(shape, dtype=self.npfloat) self.r = self.init_r * np.ones(shape, dtype=self.npfloat) self.s = self.init_s * np.ones(shape, dtype=self.npfloat) self.d = self.init_d * np.ones(shape, dtype=self.npfloat) self.f = self.init_f * np.ones(shape, dtype=self.npfloat) self.f2 = self.init_f2 * np.ones(shape, dtype=self.npfloat) self.fcass = self.init_fcass * np.ones(shape, dtype=self.npfloat) self.rr = self.init_rr * np.ones(shape, dtype=self.npfloat) self.oo = self.init_oo * np.ones(shape, dtype=self.npfloat) def run_ionic_kernel(self): """""" Executes the ionic kernel function to update ionic currents and state variables """""" ionic_kernel_2d(self.u_new, self.u, self.cai, self.casr, self.cass, self.nai, self.Ki, self.m, self.h, self.j, self.xr1, self.xr2, self.xs, self.r, self.s, self.d, self.f, self.f2, self.fcass, self.rr, self.oo, self.cardiac_tissue.myo_indexes, self.dt, self.ko, self.cao, self.nao, self.Vc, self.Vsr, self.Vss, self.Bufc, self.Kbufc, self.Bufsr, self.Kbufsr, self.Bufss, self.Kbufss, self.Vmaxup, self.Kup, self.Vrel, self.k1_, self.k2_, self.k3, self.k4, self.EC, self.maxsr, self.minsr, self.Vleak, self.Vxfer, self.R, self.F, self.T, self.RTONF, self.CAPACITANCE, self.gkr, self.pKNa, self.gk1, self.gna, self.gbna, self.KmK, self.KmNa, self.knak, self.gcal, self.gbca, self.knaca, self.KmNai, self.KmCa, self.ksat, self.n_, self.gpca, self.KpCa, self.gpk, self.gto, self.gks) def select_stencil(self, cardiac_tissue): """""" Selects the appropriate stencil for diffusion based on the tissue properties. If the tissue has fiber directions, an asymmetric stencil is used; otherwise, an isotropic stencil is used. Parameters ---------- cardiac_tissue : CardiacTissue2D A tissue object representing the cardiac tissue. Returns ------- Stencil The stencil object to use for diffusion computations. """""" if cardiac_tissue.fibers is None: return IsotropicStencil2D() return AsymmetricStencil2D() @njit def calc_ina(u, dt, m, h, j, gna, Ena): """""" Calculates the fast sodium current. Parameters ---------- u : np.ndarray Membrane potential array. dt : float Time step for the simulation. m : np.ndarray Gating variable for sodium channels (activation). h : np.ndarray Gating variable for sodium channels (inactivation). j : np.ndarray Gating variable for sodium channels (inactivation). gna : float Sodium conductance. Ena : float Sodium reversal potential. Returns ------- np.ndarray Updated fast sodium current array. """""" alpha_m = 1./(1.+np.exp((-60.-u)/5.)) beta_m = 0.1/(1.+np.exp((u+35.)/5.)) + \ 0.10/(1.+np.exp((u-50.)/200.)) tau_m = alpha_m*beta_m m_inf = 1./((1.+np.exp((-56.86-u)/9.03)) * (1.+np.exp((-56.86-u)/9.03))) alpha_h = 0. beta_h = 0. if u >= -40.: alpha_h = 0. beta_h = 0.77/(0.13*(1.+np.exp(-(u+10.66)/11.1))) else: alpha_h = 0.057*np.exp(-(u+80.)/6.8) beta_h = 2.7*np.exp(0.079*u)+(3.1e5)*np.exp(0.3485*u) tau_h = 1.0/(alpha_h + beta_h) h_inf = 1./((1.+np.exp((u+71.55)/7.43)) * (1.+np.exp((u+71.55)/7.43))) alpha_j = 0. beta_j = 0. if u >= -40.: alpha_j = 0. beta_j = 0.6*np.exp((0.057)*u)/(1.+np.exp(-0.1*(u+32.))) else: alpha_j = ((-2.5428e4)*np.exp(0.2444*u)-(6.948e-6) * np.exp(-0.04391*u))*(u+37.78) /\ (1.+np.exp(0.311*(u+79.23))) beta_j = 0.02424*np.exp(-0.01052*u) / \ (1.+np.exp(-0.1378*(u+40.14))) tau_j = 1.0/(alpha_j + beta_j) j_inf = h_inf m = m_inf-(m_inf-m)*np.exp(-dt/tau_m) h = h_inf-(h_inf-h)*np.exp(-dt/tau_h) j = j_inf-(j_inf-j)*np.exp(-dt/tau_j) return gna*m*m*m*h*j*(u-Ena), m, h, j @njit def calc_ical(u, dt, d, f, f2, fcass, cao, cass, gcal, F, R, T): """""" Calculates the L-type calcium current. Parameters ---------- u : np.ndarray Membrane potential array. dt : float Time step for the simulation. d : np.ndarray Gating variable for L-type calcium channels. f : np.ndarray Gating variable for calcium-dependent calcium channels. f2 : np.ndarray Secondary gating variable for calcium-dependent calcium channels. fcass : np.ndarray Gating variable for calcium-sensitive current. cao : float Extracellular calcium concentration. cass : np.ndarray Calcium concentration in the submembrane space. gcal : float Calcium conductance. F : float Faraday's constant. R : float Ideal gas constant. T : float Returns ------- np.ndarray Updated L-type calcium current array. """""" d_inf = 1./(1.+np.exp((-8-u)/7.5)) Ad = 1.4/(1.+np.exp((-35-u)/13))+0.25 Bd = 1.4/(1.+np.exp((u+5)/5)) Cd = 1./(1.+np.exp((50-u)/20)) tau_d = Ad*Bd+Cd f_inf = 1./(1.+np.exp((u+20)/7)) Af = 1102.5*np.exp(-(u+27)*(u+27)/225) Bf = 200./(1+np.exp((13-u)/10.)) Cf = (180./(1+np.exp((u+30)/10)))+20 tau_f = Af+Bf+Cf f2_inf = 0.67/(1.+np.exp((u+35)/7))+0.33 Af2 = 600*np.exp(-(u+25)*(u+25)/170) Bf2 = 31/(1.+np.exp((25-u)/10)) Cf2 = 16/(1.+np.exp((u+30)/10)) tau_f2 = Af2+Bf2+Cf2 fcass_inf = 0.6/(1+(cass/0.05)*(cass/0.05))+0.4 tau_fcass = 80./(1+(cass/0.05)*(cass/0.05))+2. d = d_inf-(d_inf-d)*np.exp(-dt/tau_d) f = f_inf-(f_inf-f)*np.exp(-dt/tau_f) f2 = f2_inf-(f2_inf-f2)*np.exp(-dt/tau_f2) fcass = fcass_inf-(fcass_inf-fcass)*np.exp(-dt/tau_fcass) return gcal*d*f*f2*fcass*4*(u-15)*(F*F/(R*T)) *\ (0.25*np.exp(2*(u-15)*F/(R*T))*cass-cao) / \ (np.exp(2*(u-15)*F/(R*T))-1.), d, f, f2, fcass @njit def calc_ito(u, dt, r, s, Ek, gto): """""" Calculates the transient outward current. Parameters ---------- u : np.ndarray Membrane potential array. dt : float Time step for the simulation. r : np.ndarray Gating variable for ryanodine receptors. s : np.ndarray Gating variable for calcium-sensitive current. ek : float Potassium reversal potential. Returns ------- np.ndarray Updated transient outward current array. """""" r_inf = 1./(1.+np.exp((20-u)/6.)) s_inf = 1./(1.+np.exp((u+20)/5.)) tau_r = 9.5*np.exp(-(u+40.)*(u+40.)/1800.)+0.8 tau_s = 85.*np.exp(-(u+45.)*(u+45.)/320.) + \ 5./(1.+np.exp((u-20.)/5.))+3. s = s_inf-(s_inf-s)*np.exp(-dt/tau_s) r = r_inf-(r_inf-r)*np.exp(-dt/tau_r) return gto*r*s*(u-Ek), r, s @njit def calc_ikr(u, dt, xr1, xr2, Ek, gkr, ko): """""" Calculates the rapid delayed rectifier potassium current. Parameters ---------- u : np.ndarray Membrane potential array. dt : float Time step for the simulation. xr1 : np.ndarray Gating variable for rapid delayed rectifier potassium channels. xr2 : np.ndarray Gating variable for rapid delayed rectifier potassium channels. Ek : float Potassium reversal potential. gkr : float Potassium conductance. Returns ------- np.ndarray Updated rapid delayed rectifier potassium current array. """""" xr1_inf = 1./(1.+np.exp((-26.-u)/7.)) axr1 = 450./(1.+np.exp((-45.-u)/10.)) bxr1 = 6./(1.+np.exp((u-(-30.))/11.5)) tau_xr1 = axr1*bxr1 xr2_inf = 1./(1.+np.exp((u-(-88.))/24.)) axr2 = 3./(1.+np.exp((-60.-u)/20.)) bxr2 = 1.12/(1.+np.exp((u-60.)/20.)) tau_xr2 = axr2*bxr2 xr1 = xr1_inf-(xr1_inf-xr1)*np.exp(-dt/tau_xr1) xr2 = xr2_inf-(xr2_inf-xr2)*np.exp(-dt/tau_xr2) return gkr*np.sqrt(ko/5.4)*xr1*xr2*(u-Ek), xr1, xr2 @njit def calc_iks(u, dt, xs, Eks, gks): """""" Calculates the slow delayed rectifier potassium current. Parameters ---------- u : np.ndarray Membrane potential array. dt : float Time step for the simulation. xs : np.ndarray Gating variable for slow delayed rectifier potassium channels. Eks : float Potassium reversal potential. gks : float Potassium conductance. Returns ------- np.ndarray Updated slow delayed rectifier potassium current array. """""" xs_inf = 1./(1.+np.exp((-5.-u)/14.)) Axs = (1400./(np.sqrt(1.+np.exp((5.-u)/6)))) Bxs = (1./(1.+np.exp((u-35.)/15.))) tau_xs = Axs*Bxs+80 xs_inf = 1./(1.+np.exp((-5.-u)/14.)) xs = xs_inf-(xs_inf-xs)*np.exp(-dt/tau_xs) return gks*xs*xs*(u-Eks), xs @njit def calc_ik1(u, Ek, gk1): """""" Calculates the inward rectifier potassium current. Parameters ---------- u : np.ndarray Membrane potential array. Ek : float Potassium reversal potential. gk1 : float Inward rectifier potassium conductance. Returns ------- np.ndarray Updated inward rectifier potassium current array. """""" ak1 = 0.1/(1.+np.exp(0.06*(u-Ek-200))) bk1 = (3.*np.exp(0.0002*(u-Ek+100)) + np.exp(0.1*(u-Ek-10)))/(1.+np.exp(-0.5*(u-Ek))) rec_iK1 = ak1/(ak1+bk1) return gk1*rec_iK1*(u-Ek) @njit def calc_inaca(u, nao, nai, cao, cai, KmNai, KmCa, knaca, ksat, n_, F, R, T): """""" Calculates the sodium-calcium exchanger current. Parameters ---------- u : np.ndarray Membrane potential array. nao : float Sodium ion concentration in the extracellular space. nai : np.ndarray Sodium ion concentration in the intracellular space. cao : float Calcium ion concentration in the extracellular space. cai : np.ndarray Calcium ion concentration in the submembrane space. KmNai : float Michaelis constant for sodium. KmCa : float Michaelis constant for calcium. knaca : float Sodium-calcium exchanger conductance. ksat : float Saturation factor. n_ : float Exponent for sodium dependence. F : float Faraday's constant. R : float Ideal gas constant. T : float Temperature. Returns ------- np.ndarray Updated sodium-calcium exchanger current array. """""" return knaca*(1./(KmNai*KmNai*KmNai+nao*nao*nao))*(1./(KmCa+cao)) *\ (1./(1+ksat*np.exp((n_-1)*u*F/(R*T)))) *\ (np.exp(n_*u*F/(R*T))*nai*nai*nai*cao - np.exp((n_-1)*u*F/(R*T))*nao*nao*nao*cai*2.5) @njit def calc_inak(u, nai, ko, KmK, KmNa, knak, F, R, T): """""" Calculates the sodium-potassium pump current. Parameters ---------- u : np.ndarray Membrane potential array. nai : np.ndarray Sodium ion concentration in the intracellular space. ko : float Potassium ion concentration in the extracellular space. KmK : float Michaelis constant for potassium. KmNa : float Michaelis constant for sodium. knak : float Sodium-potassium pump conductance. F : float Faraday's constant. R : float Ideal gas constant. T : float Temperature. Returns ------- np.ndarray Updated sodium-potassium pump current array. """""" rec_iNaK = ( 1./(1.+0.1245*np.exp(-0.1*u*F/(R*T))+0.0353*np.exp(-u*F/(R*T)))) return knak*(ko/(ko+KmK))*(nai/(nai+KmNa))*rec_iNaK @njit def calc_ipca(cai, KpCa, gpca): """""" Calculates the calcium pump current. Parameters ---------- cai : np.ndarray Calcium concentration in the submembrane space. KpCa : float Michaelis constant for calcium pump. gpca : float Calcium pump conductance. Returns ------- np.ndarray Updated calcium pump current array. """""" return gpca*cai/(KpCa+cai) @njit def calc_ipk(u, Ek, gpk): """""" Calculates the potassium pump current. Parameters ---------- u : np.ndarray Membrane potential array. Ek : float Potassium reversal potential. gpk : float Potassium pump conductance. Returns ------- np.ndarray Updated potassium pump current array. """""" rec_ipK = 1./(1.+np.exp((25-u)/5.98)) return gpk*rec_ipK*(u-Ek) @njit def calc_ibna(u, Ena, gbna): """""" Calculates the background sodium current. Parameters ---------- u : np.ndarray Membrane potential array. Ena : float Sodium reversal potential. gbna : float Background sodium conductance. Returns ------- np.ndarray Updated background sodium current array. """""" return gbna*(u-Ena) @njit def calc_ibca(u, Eca, gbca): """""" Calculates the background calcium current. Parameters ---------- u : np.ndarray Membrane potential array. Eca : float Calcium reversal potential. gbca : float Background calcium conductance. Returns ------- np.ndarray Updated background calcium current array. """""" return gbca*(u-Eca) @njit def calc_irel(dt, rr, oo, casr, cass, vrel, k1, k2, k3, k4, maxsr, minsr, EC): """""" Calculates the ryanodine receptor current. Parameters ---------- dt : float Time step for the simulation. rr : np.ndarray Ryanodine receptor gating variable for calcium release. oo : np.ndarray Ryanodine receptor gating variable for calcium release. casr : np.ndarray Calcium concentration in the sarcoplasmic reticulum. cass : np.ndarray Calcium concentration in the submembrane space. vrel : float Release rate of calcium from the sarcoplasmic reticulum. k1 : float Transition rate for SR calcium release. k2 : float Transition rate for SR calcium release. k3 : float Transition rate for SR calcium release. k4 : float Alternative transition rate. maxsr : float Maximum SR calcium release permeability. minsr : float Minimum SR calcium release permeability. EC : float Calcium-induced calcium release sensitivity. Returns ------- np.ndarray Updated ryanodine receptor current array. """""" kCaSR = maxsr-((maxsr-minsr)/(1+(EC/casr)*(EC/casr))) k1_ = k1/kCaSR k2_ = k2*kCaSR drr = k4*(1-rr)-k2_*cass*rr rr += dt*drr oo = k1_*cass*cass * rr/(k3+k1_*cass*cass) return vrel*oo*(casr-cass), rr, oo @njit def calc_ileak(casr, cai, vleak): """""" Calculates the calcium leak current. Parameters ---------- casr : np.ndarray Calcium concentration in the sarcoplasmic reticulum. cai : np.ndarray Calcium concentration in the submembrane space. vleak : float Leak rate of calcium from the sarcoplasmic reticulum. Returns ------- np.ndarray Updated calcium leak current array. """""" return vleak*(casr-cai) @njit def calc_iup(cai, vmaxup, Kup): """""" Calculates the calcium uptake current. Parameters ---------- cai : np.ndarray Calcium concentration in the submembrane space. vmaxup : float Uptake rate of calcium into the sarcoplasmic reticulum. Kup : float Michaelis constant for calcium uptake. Returns ------- np.ndarray Updated calcium uptake current array. """""" return vmaxup/(1.+((Kup*Kup)/(cai*cai))) @njit def calc_ixfer(cass, cai, vxfer): """""" Calculates the calcium transfer current. Parameters ---------- cass : np.ndarray Calcium concentration in the submembrane space. cai : np.ndarray Calcium concentration in the submembrane space. vxfer : float Transfer rate of calcium between the submembrane space and cytosol. Returns ------- np.ndarray Updated calcium transfer current array. """""" return vxfer*(cass-cai) @njit def calc_casr(dt, caSR, bufsr, Kbufsr, iup, irel, ileak): """""" Calculates the calcium concentration in the sarcoplasmic reticulum. Parameters ---------- casr : np.ndarray Calcium concentration in the sarcoplasmic reticulum. bufsr : float Buffering capacity of the sarcoplasmic reticulum. Kbufsr : float Buffering constant of the sarcoplasmic reticulum. iup : float Calcium uptake current. irel : float Calcium release current. ileak : float Leak rate of calcium from the sarcoplasmic reticulum. Returns ------- np.ndarray Updated calcium concentration in the sarcoplasmic reticulum. """""" CaCSQN = bufsr*caSR/(caSR+Kbufsr) dCaSR = dt*(iup-irel-ileak) bjsr = bufsr-CaCSQN-dCaSR-caSR+Kbufsr cjsr = Kbufsr*(CaCSQN+dCaSR+caSR) return (np.sqrt(bjsr*bjsr+4*cjsr)-bjsr)/2 @njit def calc_cass(dt, caSS, bufss, Kbufss, ixfer, irel, ical, capacitance, Vc, Vss, Vsr, inversevssF2): """""" Calculates the calcium concentration in the submembrane space. Parameters ---------- cass : np.ndarray Calcium concentration in the submembrane space. bufss : float Buffering capacity of the submembrane space. Kbufss : float Buffering constant of the submembrane space. ixfer : float Calcium transfer current. irel : float Calcium release current. ical : float L-type calcium current. capacitance : float Membrane capacitance. Vc : float Volume of the cytosol. Vss : float Volume of the submembrane space. Vsr : float Volume of the sarcoplasmic reticulum. inversevssF2 : float Inverse of the product of 2 times the volume of the submembrane space and Faraday's constant. Returns ------- np.ndarray Updated calcium concentration in the submembrane space. """""" CaSSBuf = bufss*caSS/(caSS+Kbufss) dCaSS = dt*(-ixfer*(Vc/Vss)+irel*(Vsr/Vss) + (-ical*inversevssF2*capacitance)) bcss = bufss-CaSSBuf-dCaSS-caSS+Kbufss ccss = Kbufss*(CaSSBuf+dCaSS+caSS) return (np.sqrt(bcss*bcss+4*ccss)-bcss)/2 @njit def calc_cai(dt, cai, bufc, Kbufc, ibca, ipca, inaca, iup, ileak, ixfer, capacitance, vsr, vc, inverseVcF2): """""" Calculates the calcium concentration in the cytosol. Parameters ---------- cai : np.ndarray Calcium concentration in the cytosol. bufc : float Buffering capacity of the cytosol. Kbufc : float Buffering constant of the cytosol. ibca : float Background calcium current. ipca : float Calcium pump current. inaca : float Sodium-calcium exchanger current. iup : float Calcium uptake current. ileak : float Calcium leak current. ixfer : float Calcium transfer current. capacitance : float Membrane capacitance. vsr : float Volume of the sarcoplasmic reticulum. vc : float Volume of the cytosol. inverseVcF2 : float Inverse of the product of 2 times the volume of the cytosol and Faraday's constant. Returns ------- np.ndarray Updated calcium concentration in the cytosol. """""" CaCBuf = bufc*cai/(cai+Kbufc) dCai = dt*((-(ibca+ipca-2*inaca)*inverseVcF2*capacitance) - (iup-ileak)*(vsr/vc)+ixfer) bc = bufc-CaCBuf-dCai-cai+Kbufc cc = Kbufc*(CaCBuf+dCai+cai) return (np.sqrt(bc*bc+4*cc)-bc)/2, cai @njit def calc_nai(dt, ina, ibna, inak, inaca, capacitance, inverseVcF): """""" Calculates the sodium concentration in the cytosol. Parameters ---------- dt : float Time step for the simulation. ina : float Fast sodium current. ibna : float Background sodium current. inak : float Sodium-potassium pump current. inaca : float Sodium-calcium exchanger current. capacitance : float Membrane capacitance. inverseVcF : float Inverse of the product of the volume of the cytosol and Faraday's constant. Returns ------- np.ndarray Updated sodium concentration in the cytosol. """""" dNai = -(ina+ibna+3*inak+3*inaca)*inverseVcF*capacitance return dt*dNai @njit def calc_ki(dt, ik1, ito, ikr, iks, inak, ipk, inverseVcF, capacitance): """""" Calculates the potassium concentration in the cytosol. Parameters ---------- ik1 : float Inward rectifier potassium current. ito : float Transient outward current. ikr : float Rapid delayed rectifier potassium current. iks : float Slow delayed rectifier potassium current. inak : float Sodium-potassium pump current. ipk : float Potassium pump current. capacitance : float Membrane capacitance. inverseVcF : float Inverse of the product of the volume of the cytosol and Faraday's constant. Returns ------- np.ndarray Updated potassium concentration in the cytosol. """""" dKi = -(ik1+ito+ikr+iks-2*inak+ipk)*inverseVcF*capacitance return dt*dKi # tp06 epi kernel @njit(parallel=True) def ionic_kernel_2d(u_new, u, cai, casr, cass, nai, Ki, m, h, j_, xr1, xr2, xs, r, s, d, f, f2, fcass, rr, oo, indexes, dt, ko, cao, nao, Vc, Vsr, Vss, Bufc, Kbufc, Bufsr, Kbufsr, Bufss, Kbufss, Vmaxup, Kup, Vrel, k1_, k2_, k3, k4, EC, maxsr, minsr, Vleak, Vxfer, R, F, T, RTONF, CAPACITANCE, gkr, pKNa, gk1, gna, gbna, KmK, KmNa, knak, gcal, gbca, knaca, KmNai, KmCa, ksat, n_, gpca, KpCa, gpk, gto, gks): """""" Compute the ionic currents and update the state variables for the 2D TP06 cardiac model. This function calculates the ionic currents based on the TP06 cardiac model, updates ion concentrations, and modifies gating variables in the 2D grid. The calculations are performed in parallel to enhance performance. Parameters ---------- u_new : numpy.ndarray Array to store the updated membrane potential values. u : numpy.ndarray Array of current membrane potential values. cai : numpy.ndarray Array of calcium concentration in the cytosol. casr : numpy.ndarray Array of calcium concentration in the sarcoplasmic reticulum. cass : numpy.ndarray Array of calcium concentration in the submembrane space. nai : numpy.ndarray Array of sodium ion concentration in the intracellular space. Ki : numpy.ndarray Array of potassium ion concentration in the intracellular space. m : numpy.ndarray Array of gating variable for sodium channels (activation). h : numpy.ndarray Array of gating variable for sodium channels (inactivation). j_ : numpy.ndarray Array of gating variable for sodium channels (inactivation). xr1 : numpy.ndarray Array of gating variable for rapid delayed rectifier potassium channels. xr2 : numpy.ndarray Array of gating variable for rapid delayed rectifier potassium channels. xs : numpy.ndarray Array of gating variable for slow delayed rectifier potassium channels. r : numpy.ndarray Array of gating variable for ryanodine receptors. s : numpy.ndarray Array of gating variable for calcium-sensitive current. d : numpy.ndarray Array of gating variable for L-type calcium channels. f : numpy.ndarray Array of gating variable for calcium-dependent calcium channels. f2 : numpy.ndarray Array of secondary gating variable for calcium-dependent calcium channels. fcass : numpy.ndarray Array of gating variable for calcium-sensitive current. rr : numpy.ndarray Array of ryanodine receptor gating variable for calcium release. oo : numpy.ndarray Array of ryanodine receptor gating variable for calcium release. indexes: numpy.ndarray Array of indexes where the kernel should be computed (``mesh == 1``). dt : float Time step for the simulation. Returns ------- None The function updates the state variables in place. No return value is produced. """""" n_j = u.shape[1] inverseVcF2 = 1./(2*Vc*F) inverseVcF = 1./(Vc*F) inversevssF2 = 1./(2*Vss*F) for ind in prange(len(indexes)): ii = indexes[ind] i = int(ii/n_j) j = ii % n_j Ek = RTONF*(np.log((ko/Ki[i, j]))) Ena = RTONF*(np.log((nao/nai[i, j]))) Eks = RTONF*(np.log((ko+pKNa*nao)/(Ki[i, j]+pKNa*nai[i, j]))) Eca = 0.5*RTONF*(np.log((cao/cai[i, j]))) # Compute currents ina, m[i, j], h[i, j], j_[i, j] = calc_ina(u[i, j], dt, m[i, j], h[i, j], j_[i, j], gna, Ena) ical, d[i, j], f[i, j], f2[i, j], fcass[i, j] = calc_ical(u[i, j], dt, d[i, j], f[i, j], f2[i, j], fcass[i, j], cao, cass[i, j], gcal, F, R, T) ito, r[i, j], s[i, j] = calc_ito(u[i, j], dt, r[i, j], s[i, j], Ek, gto) ikr, xr1[i, j], xr2[i, j] = calc_ikr(u[i, j], dt, xr1[i, j], xr2[i, j], Ek, gkr, ko) iks, xs[i, j] = calc_iks(u[i, j], dt, xs[i, j], Eks, gks) ik1 = calc_ik1(u[i, j], Ek, gk1) inaca = calc_inaca(u[i, j], nao, nai[i, j], cao, cai[i, j], KmNai, KmCa, knaca, ksat, n_, F, R, T) inak = calc_inak(u[i, j], nai[i, j], ko, KmK, KmNa, knak, F, R, T) ipca = calc_ipca(cai[i, j], KpCa, gpca) ipk = calc_ipk(u[i, j], Ek, gpk) ibna = calc_ibna(u[i, j], Ena, gbna) ibca = calc_ibca(u[i, j], Eca, gbca) irel, rr[i, j], oo[i, j] = calc_irel(dt, rr[i, j], oo[i, j], casr[i, j], cass[i, j], Vrel, k1_, k2_, k3, k4, maxsr, minsr, EC) ileak = calc_ileak(casr[i, j], cai[i, j], Vleak) iup = calc_iup(cai[i, j], Vmaxup, Kup) ixfer = calc_ixfer(cass[i, j], cai[i, j], Vxfer) # Compute concentrations casr[i, j] = calc_casr(dt, casr[i, j], Bufsr, Kbufsr, iup, irel, ileak) cass[i, j] = calc_cass(dt, cass[i, j], Bufss, Kbufss, ixfer, irel, ical, CAPACITANCE, Vc, Vss, Vsr, inversevssF2) cai[i, j], cai[i, j] = calc_cai(dt, cai[i, j], Bufc, Kbufc, ibca, ipca, inaca, iup, ileak, ixfer, CAPACITANCE, Vsr, Vc, inverseVcF2) nai[i, j] += calc_nai(dt, ina, ibna, inak, inaca, CAPACITANCE, inverseVcF) Ki[i, j] += calc_ki(dt, ik1, ito, ikr, iks, inak, ipk, inverseVcF, CAPACITANCE) # Update membrane potential u_new[i, j] -= dt * (ikr + iks + ik1 + ito + ina + ibna + ical + ibca + inak + inaca + ipca + ipk) ","Python" "Cell biology","finitewave/Finitewave","finitewave/cpuwave2D/model/aliev_panfilov_2d.py",".py","6061","204","import numpy as np from numba import njit, prange from finitewave.core.model.cardiac_model import CardiacModel from finitewave.cpuwave2D.stencil.asymmetric_stencil_2d import ( AsymmetricStencil2D ) from finitewave.cpuwave2D.stencil.isotropic_stencil_2d import ( IsotropicStencil2D ) class AlievPanfilov2D(CardiacModel): """""" Two-dimensional implementation of the Aliev–Panfilov model of cardiac excitation. The Aliev–Panfilov model is a phenomenological two-variable model designed to reproduce basic features of cardiac excitation, including wave propagation and reentry, while remaining computationally efficient. It uses a single recovery variable coupled with a cubic nonlinearity to simulate action potential dynamics in excitable media. Attributes ---------- u : np.ndarray Transmembrane potential (dimensionless, normalized to [0,1]). v : np.ndarray Recovery variable describing refractoriness. D_model : float Diffusion coefficient used for simulating spatial propagation. state_vars : list of str Names of the state variables to be saved and restored. npfloat : str Floating-point precision used in the simulation (default: 'float64'). Model Parameters ---------------- a : float Excitability threshold parameter. k : float Strength of the nonlinear source term (governs spike shape). eap : float Baseline recovery rate. mu_1 : float Recovery rate coefficient (scales v feedback). mu_2 : float Recovery rate offset (modulates u-dependence of recovery). Paper ----- Rubin R. Aliev, Alexander V. Panfilov, A simple two-variable model of cardiac excitation, Chaos, Solitons & Fractals, Volume 7, Issue 3, 1996, Pages 293-301, ISSN 0960-0779, https://doi.org/10.1016/0960-0779(95)00089-5. Attributes ---------- v : np.ndarray Array for the recovery variable. w : np.ndarray Array for diffusion weights. D_model : float Model specific diffusion coefficient state_vars : list List of state variables to be saved and restored. npfloat : str Data type used for floating-point operations, default is 'float64'. """""" def __init__(self): """""" Initializes the AlievPanfilov2D instance with default parameters. """""" super().__init__() self.v = np.ndarray self.D_model = 1. self.state_vars = [""u"", ""v""] self.npfloat = 'float64' # model parameters self.a = 0.1 self.k = 8.0 self.eap = 0.01 self.mu_1 = 0.2 self.mu_2 = 0.3 # initial conditions self.init_u = 0.0 self.init_v = 0.0 def initialize(self): """""" Initializes the model for simulation. """""" super().initialize() self.u = self.init_u * np.ones_like(self.u, dtype=self.npfloat) self.v = self.init_v * np.ones_like(self.u, dtype=self.npfloat) def run_ionic_kernel(self): """""" Executes the ionic kernel for the Aliev-Panfilov model. """""" ionic_kernel_2d(self.u_new, self.u, self.v, self.cardiac_tissue.myo_indexes, self.dt, self.a, self.k, self.eap, self.mu_1, self.mu_2) def select_stencil(self, cardiac_tissue): """""" Selects the appropriate stencil for diffusion based on the tissue properties. If the tissue has fiber directions, an asymmetric stencil is used; otherwise, an isotropic stencil is used. Parameters ---------- cardiac_tissue : CardiacTissue2D A tissue object representing the cardiac tissue. Returns ------- Stencil The stencil object to use for diffusion computations. """""" if cardiac_tissue.fibers is None: return IsotropicStencil2D() return AsymmetricStencil2D() @njit def calc_v(v, u, dt, a, k, eap, mu_1, mu_2): """""" Computes the update of the recovery variable v for the Aliev–Panfilov model. This function implements the ordinary differential equation governing the evolution of the recovery variable `v`, which models the refractoriness of the cardiac tissue. The rate of recovery depends on both `v` and `u`, with a nonlinear interaction term involving a cubic expression in `u`. Parameters ---------- v : float Current value of the recovery variable. u : float Current value of the transmembrane potential. dt : float Time step for integration. a : float Excitability threshold. k : float Strength of the nonlinear source term. eap : float Baseline recovery rate. mu_1 : float Recovery scaling parameter. mu_2 : float Offset parameter for recovery rate. Returns ------- float Updated value of the recovery variable `v`. """""" v += (- dt * (eap + (mu_1 * v) / (mu_2 + u)) * (v + k * u * (u - a - 1.))) return v @njit(parallel=True) def ionic_kernel_2d(u_new, u, v, indexes, dt, a, k, eap, mu_1, mu_2): """""" Computes the ionic kernel for the Aliev-Panfilov 2D model. Parameters ---------- u_new : np.ndarray Array to store the updated action potential values. u : np.ndarray Current action potential array. v : np.ndarray Recovery variable array. indexes : np.ndarray Array of indices where the kernel should be computed (``mesh == 1``). dt : float Time step for the simulation. """""" n_j = u.shape[1] for ind in prange(len(indexes)): ii = indexes[ind] i = int(ii / n_j) j = ii % n_j v[i, j] = calc_v(v[i, j], u[i, j], dt, a, k, eap, mu_1, mu_2) u_new[i, j] += dt * (- k * u[i, j] * (u[i, j] - a) * (u[i, j] - 1.) - u[i, j] * v[i, j]) ","Python" "Cell biology","finitewave/Finitewave","finitewave/cpuwave2D/model/mitchell_schaeffer_2d.py",".py","6278","219","import numpy as np from numba import njit, prange from finitewave.core.model.cardiac_model import CardiacModel from finitewave.cpuwave2D.stencil.asymmetric_stencil_2d import ( AsymmetricStencil2D ) from finitewave.cpuwave2D.stencil.isotropic_stencil_2d import ( IsotropicStencil2D ) class MitchellSchaeffer2D(CardiacModel): def __init__(self): """""" Implements the 2D Mitchell-Schaeffer model of cardiac excitation. This is a phenomenological two-variable model capturing the essence of cardiac action potential dynamics using a simplified formulation. It separates inward and outward currents and uses a single gating variable to regulate excitability. It reproduces key features like: - Excitability and recovery - Action potential duration (APD) - Restitution and wave propagation Attributes ---------- h : np.ndarray Gating variable controlling the availability of inward current. D_model : float Diffusion coefficient for spatial propagation. state_vars : list Names of the dynamic variables for saving/restoring state. npfloat : str Floating-point type used (default: float64). Paper ----- Mitchell, C. C., & Schaeffer, D. G. (2003). A two-current model for the dynamics of cardiac membrane potential. Bulletin of Mathematical Biology, 65, 767–793. https://doi.org/10.1016/S0092-8240(03)00041-7 """""" super().__init__() self.h = np.ndarray self.D_model = 1. self.state_vars = [""u"", ""h""] self.npfloat = 'float64' # model parameters self.tau_close = 150 self.tau_open = 120 self.tau_out = 6 self.tau_in = 0.3 self.u_gate = 0.13 # initial conditions self.init_u = 0.0 self.init_h = 1.0 def initialize(self): """""" Initializes the model for simulation. """""" super().initialize() self.u = self.init_u * np.ones_like(self.u, dtype=self.npfloat) self.h = self.init_h * np.ones_like(self.u, dtype=self.npfloat) def run_ionic_kernel(self): """""" Executes the ionic kernel for the Mitchell-Schaeffer model. """""" ionic_kernel_2d(self.u_new, self.u, self.h, self.cardiac_tissue.myo_indexes, self.dt, self.tau_close, self.tau_open, self.tau_in, self.tau_out, self.u_gate) def select_stencil(self, cardiac_tissue): """""" Selects the appropriate stencil for diffusion based on the tissue properties. If the tissue has fiber directions, an asymmetric stencil is used; otherwise, an isotropic stencil is used. Parameters ---------- cardiac_tissue : CardiacTissue2D A tissue object representing the cardiac tissue. Returns ------- Stencil The stencil object to use for diffusion computations. """""" if cardiac_tissue.fibers is None: return IsotropicStencil2D() return AsymmetricStencil2D() @njit def calc_h(h, u, dt, tau_close, tau_open, u_gate): """""" Updates the gating variable h for the inward current. The gating variable h plays the role of a generic recovery mechanism. - It increases toward 1 with time constant tau_open when the membrane is at rest. - It decreases toward 0 with time constant tau_close when the membrane is excited. This mimics Na⁺ channel inactivation in a simplified way. Parameters ---------- h : float Current value of the gating variable. u : float Membrane potential (dimensionless, in [0,1]). dt : float Time step [ms]. tau_close : float Inactivation time constant (closing). tau_open : float Recovery time constant (opening). u_gate : float Threshold potential for switching gate dynamics. Returns ------- float Updated value of h. """""" h += dt * (1.0 - h) / tau_open if u < u_gate else dt * (-h) / tau_close return h @njit def calc_J_in(h, u, tau_in): """""" Computes the inward current responsible for depolarization. This is a regenerative current: J_in = h * u² * (1 - u) / tau_in It activates when h is high (available) and u is sufficiently depolarized. The form ensures that the current grows with u but shuts off when u ~ 1. Parameters ---------- h : float Gating variable controlling channel availability. u : float Membrane potential (dimensionless). tau_in : float Time constant for inward flow. Returns ------- float Value of the inward current. """""" C = (u**2)*(1-u) return h*C/tau_in @njit def calc_J_out(u, tau_out): """""" Computes the outward current responsible for repolarization. This linear term simulates the slow repolarizing current that restores the membrane potential back to rest. J_out = -u / tau_out Parameters ---------- u : float Membrane potential. tau_out : float Time constant for outward current (repolarization). Returns ------- float Value of the outward current. """""" return -u/tau_out @njit(parallel=True) def ionic_kernel_2d(u_new, u, h, indexes, dt, tau_close, tau_open, tau_in, tau_out, u_gate): """""" Ionic kernel for the Mitchell-Schaeffer model in 2D. Parameters ---------- u_new : ndarray The new state of the u variable. u : ndarray The current state of the u variable. h : ndarray The gating variable h. myo_indexes : list List of indexes representing myocardial cells. dt : float The time step for the simulation. """""" n_j = u.shape[1] for ind in prange(len(indexes)): ii = indexes[ind] i = int(ii / n_j) j = ii % n_j h[i, j] = calc_h(h[i, j], u[i, j], dt, tau_close, tau_open, u_gate) J_in = calc_J_in(h[i, j], u[i, j], tau_in) J_out = calc_J_out(u[i, j], tau_out) u_new[i, j] += dt * (J_in + J_out) ","Python" "Cell biology","finitewave/Finitewave","finitewave/cpuwave2D/model/courtemanche_2d.py",".py","19798","642","import numpy as np from numba import njit, prange from finitewave.core.model.cardiac_model import CardiacModel from finitewave.cpuwave2D.stencil.asymmetric_stencil_2d import ( AsymmetricStencil2D ) from finitewave.cpuwave2D.stencil.isotropic_stencil_2d import ( IsotropicStencil2D ) class Courtemanche2D(CardiacModel): """""" A class to represent the Courtemanche cardiac model in 2D. Attributes ---------- D_model : float Model specific diffusion coefficient. state_vars : list of str List of state variable names. """""" def __init__(self): super().__init__() self.D_model = 0.154 self.state_vars = [""u"", ""nai"", ""ki"", ""cai"", ""caup"", ""carel"", ""m"", ""h"", ""j_"", ""d"", ""f"", ""oa"", ""oi"", ""ua"", ""ui"", ""xr"", ""xs"", ""fca"", ""irel"", ""vrel"", ""urel"", ""wrel""] self.npfloat = 'float64' # Model parameters self.gna = 7.8 self.gnab = 0.000674 self.gk1 = 0.09 self.gkr = 0.0294 self.gks = 0.129 self.gto = 0.1652 self.gcal = 0.1238 self.gcab = 0.00113 self.gkur_coeff = 1 self.F = 96485.0 self.T = 310.0 self.R = 8314.0 self.Vc = 20100 self.Vj = self.Vc*0.68 # (uL) self.Vup = self.Vj*0.06*0.92 self.Vrel = self.Vj*0.06*0.08 self.ibk = 0.0 self.cao = 1.8 # mM self.nao = 140 # mM self.ko = 5.4 # mM self.caupmax = 15 # mM/ms self.kup = 0.00092 # mM self.kmnai = 10 self.kmko = 1.5 self.kmnancx = 87.5 self.kmcancx = 1.38 self.ksatncx = 0.1 self.kmcmdn = 0.00238 self.kmtrpn = 0.0005 self.kmcsqn = 0.8 self.trpnmax = 0.07 # mM self.cmdnmax = 0.05 # mM self.csqnmax = 10.0 # mM self.inacamax = 1600 self.inakmax = 0.6 self.ipcamax = 0.275 self.krel = 30 self.iupmax = 0.005 self.kq10 = 3 # initial conditions self.init_u = -84.5 self.init_nai = 11.2 self.init_ki = 139 self.init_cai = 0.000102 self.init_caup = 1.6 self.init_carel = 1.1 self.init_m = 0.00291 self.init_h = 0.965 self.init_j = 0.978 self.init_d = 0.000137 self.init_f = 0.999837 self.init_oa = 0.000592 self.init_oi = 0.9992 self.init_ua = 0.003519 self.init_ui = 0.9987 self.init_xs = 0.0187 self.init_xr = 0.0000329 self.init_fca = 0.775 self.init_irel = 0 self.init_vrel = 1 self.init_urel = 0 self.init_wrel = 0.9 def initialize(self): """""" Initializes the model's state variables and diffusion/ionic kernels. Sets up the initial values for membrane potential, ion concentrations, gating variables, and assigns the appropriate kernel functions. """""" super().initialize() shape = self.cardiac_tissue.mesh.shape self.u = self.init_u * np.ones(shape, dtype=self.npfloat) # (mV) self.u_new = self.u.copy() # (mV) self.nai = self.init_nai * np.ones(shape, dtype=self.npfloat) # (mM) self.ki = self.init_ki * np.ones(shape, dtype=self.npfloat) # (mM) self.cai = self.init_cai * np.ones(shape, dtype=self.npfloat) # (mM) self.caup = self.init_caup * np.ones(shape, dtype=self.npfloat) # (mM) self.carel = self.init_carel * np.ones(shape, dtype=self.npfloat) # (mM) self.m = self.init_m * np.ones(shape, dtype=self.npfloat) self.h = self.init_h * np.ones(shape, dtype=self.npfloat) self.j_ = self.init_j * np.ones(shape, dtype=self.npfloat) self.d = self.init_d * np.ones(shape, dtype=self.npfloat) self.f = self.init_f * np.ones(shape, dtype=self.npfloat) self.oa = self.init_oa * np.ones(shape, dtype=self.npfloat) self.oi = self.init_oi * np.ones(shape, dtype=self.npfloat) self.ua = self.init_ua * np.ones(shape, dtype=self.npfloat) self.ui = self.init_ui * np.ones(shape, dtype=self.npfloat) self.xs = self.init_xs * np.ones(shape, dtype=self.npfloat) self.xr =self.init_xr * np.ones(shape, dtype=self.npfloat) self.fca = self.init_fca * np.ones(shape, dtype=self.npfloat) self.irel = self.init_irel * np.ones(shape, dtype=self.npfloat) self.vrel = self.init_vrel * np.ones(shape, dtype=self.npfloat) self.urel = self.init_urel * np.ones(shape, dtype=self.npfloat) self.wrel = self.init_wrel * np.ones(shape, dtype=self.npfloat) def run_ionic_kernel(self): """""" Executes the ionic kernel function to update ionic currents and state variables """""" ionic_kernel_2d(self.u_new, self.u, self.nai, self.ki, self.cai, self.caup, self.carel, self.m, self.h, self.j_, self.d, self.f, self.oa, self.oi, self.ua, self.ui, self.xr, self.xs, self.fca, self.irel, self.vrel, self.urel, self.wrel, self.cardiac_tissue.myo_indexes, self.dt, self.gna, self.gnab, self.gk1, self.gkr, self.gks, self.gto, self.gcal, self.gcab, self.gkur_coeff, self.F, self.T, self.R, self.Vc, self.Vj, self.Vup, self.Vrel, self.ibk, self.cao, self.nao, self.ko, self.caupmax, self.kup, self.kmnai, self.kmko, self.kmnancx, self.kmcancx, self.ksatncx, self.kmcmdn, self.kmtrpn, self.kmcsqn, self.trpnmax, self.cmdnmax, self.csqnmax, self.inacamax, self.inakmax, self.ipcamax, self.krel, self.iupmax, self.kq10) def select_stencil(self, cardiac_tissue): """""" Selects the appropriate stencil for diffusion based on the tissue properties. If the tissue has fiber directions, an asymmetric stencil is used; otherwise, an isotropic stencil is used. Parameters ---------- cardiac_tissue : CardiacTissue2D A tissue object representing the cardiac tissue. Returns ------- Stencil The stencil object to use for diffusion computations. """""" if cardiac_tissue.fibers is None: return IsotropicStencil2D() return AsymmetricStencil2D() @njit def safe_exp(x): """""" Clamps the value of x between -500 and 500 and computes exp(x). """""" if x > 500: x = 500 elif x < -500: x = -500 return np.exp(x) @njit def calc_gating_variable(x, x_inf, tau_x, dt): """""" Calculates the gating variable using the steady-state value and time constant. """""" return x_inf - (x_inf - x)*np.exp(-dt/tau_x) @njit def calc_cmdn(cmdnmax, kmcmdn, cai): """""" Calculates the concentration of calmodulin. """""" cmdn = cmdnmax*cai/(cai + kmcmdn) return cmdn @njit def calc_trpn(trpnmax, kmtrpn, cai): """""" Calculates the concentration of troponin. """""" trpn = trpnmax*cai/(cai + kmtrpn) return trpn @njit def calc_csqn(csqnmax, kmcsqn, carel): """""" Calculates the concentration of calsequestrin. """""" csqn = csqnmax*carel/(carel + kmcsqn) return csqn @njit def calc_nai(nai, dt, inak, inaca, ibna, ina, F, Vj): """""" Calculates the intracellular sodium concentration. """""" dnai = (-3*inak-3*inaca - ibna - ina)/(F*Vj) nai += dt*dnai return nai @njit def calc_ki(ki, dt, inak, ik1, ito, ikur, ikr, iks, ibk, F, Vj): """""" Calculates the intracellular potassium concentration. """""" dki = (2*inak - ik1 - ito - ikur - ikr - iks - ibk)/(F*Vj) ki += dt*dki return ki @njit def calc_cai(cai, dt, inaca, ipca, ical, ibca, iup, iupleak, irel, Vrel, Vup, trpnmax, kmtrpn, cmdnmax, kmcmdn, F, Vj): """""" Calculates the intracellular calcium concentration. """""" B1 = (2*inaca - ipca - ical - ibca)/(2*F*Vj) + (Vup*(iupleak - iup) + irel*Vrel)/Vj B2 = 1 + (trpnmax*kmtrpn)/((cai + kmtrpn)**2) + (cmdnmax*kmcmdn)/((cai + kmcmdn)**2) dcai = B1/B2 cai += dt*dcai # print (""CAI:"", cai) return cai @njit def calc_caup(caup, dt, iup, iupleak, itr, Vrel, Vup): """""" Calculates the calcium concentration in the up compartment. """""" dcaup = iup - iupleak - itr*(Vrel/Vup) caup += dt*dcaup return caup @njit def calc_carel(carel, dt, itr, irel, csqnmax, kmcsqn): """""" Calculates the calcium concentration in the release compartment. """""" dcarel = (itr - irel)/(1 + (csqnmax*kmcsqn)/((carel + kmcsqn)**2)) carel += dt*dcarel return carel @njit def calc_equilibrum_potentials(nai, nao, ki, ko, cai, cao, R, T, F): """""" Calculates the equilibrum potentials for the cell. """""" ena = (R*T/F)*np.log(nao/nai) ek = (R*T/F)*np.log(ko/ki) eca = (R*T/(2*F))*np.log(cao/cai) return ena, ek, eca @njit def calc_ina(u, m, h, j, gna, ena): """""" Calculates the fast sodium current. """""" ina = gna*(m**3)*h*j*(u - ena) return ina @njit def calc_gating_m(m, u, dt): """""" Calculates the gating variable m for the fast sodium current. """""" am = 0 if u == -47.13: am = 3.2 else: am = 0.32 * (u + 47.13) / (1 - np.exp(-0.1 * (u + 47.13))) bm = 0.08*np.exp(-u/11) m_inf = am/(am + bm) tau_m = 1/(am + bm) m = calc_gating_variable(m, m_inf, tau_m, dt) return m @njit def calc_gating_h(h, u, dt): """""" Calculates the gating variable h for the fast sodium current. """""" ah = 0.135*np.exp(-(80 + u)/6.8) bh = 3.56*np.exp(0.079*u) + 310000*np.exp(0.35*u) if u >= -40: ah = 0 bh = 1/(0.13*(1 + np.exp(-(u + 10.66)/11.1))) h_inf = ah/(ah + bh) tau_h = 1/(ah + bh) h = calc_gating_variable(h, h_inf, tau_h, dt) return h @njit def calc_gating_j(j, u, dt): """""" Calculates the gating variable j for the fast sodium current. """""" aj = (-127140*np.exp(0.2444*u) - 0.00003474*np.exp(-0.04391*u))*(u + 37.78)/(1 + np.exp(0.311*(u + 79.23))) bj = 0.1212*np.exp(-0.01052*u)/(1 + np.exp(-0.1378*(u + 40.14))) if u >= -40: aj = 0 bj = 0.3*np.exp(-0.0000002535*u)/(1 + np.exp(-0.1*(u + 32))) j_inf = aj/(aj + bj) tau_j = 1/(aj + bj) j = j_inf - (j_inf - j)*np.exp(-dt/tau_j) return j @njit def calc_ik1(u, gk1, ek): """""" Calculates the time-independent potassium current. """""" ik1 = gk1*(u - ek)/(1 + np.exp(0.07*(u + 80))) return ik1 @njit def calc_ito(u, dt, kq10, oa, oi, gto, ek): """""" Calculates the transient outward potassium current. """""" ao = 0.65/(np.exp(-(u + 10)/8.5) + np.exp(-(u - 30)/59.0)) bo = 0.65/(2.5 + np.exp((u + 82)/17.0)) tau_o = 1/(kq10*(ao + bo)) o_inf = 1/(1 + np.exp(-(u + 20.47)/17.54)) aoi = 1/(18.53 + np.exp((u + 113.7)/10.95)) boi = 1/(35.56 + np.exp(-(u + 1.26)/7.44)) tau_oi = 1/(kq10*(aoi + boi)) oi_inf = 1/(1 + np.exp((u + 43.1)/5.3)) oa = calc_gating_variable(oa, o_inf, tau_o, dt) oi = calc_gating_variable(oi, oi_inf, tau_oi, dt) ito = gto*(oa**3)*oi*(u - ek) return ito, oa, oi @njit def calc_ikur(u, dt, kq10, ua, ui, ek, gkur_coeff): """""" Calculates the ultra-rapid delayed rectifier potassium current. """""" gkur = 0.005 + 0.05/(1 + np.exp(-(u - 15)/13.0)) aua = 0.65/(np.exp(-(u + 10)/8.5) + np.exp(-(u - 30)/59.0)) bua = 0.65/(2.5 + np.exp((u + 82)/17.0)) tau_ua = 1/(kq10*(aua + bua)) ua_inf = 1/(1 + np.exp(-(u + 30.3)/9.6)) aui = 1/(21 + np.exp(-(u - 185)/28.0)) bui = np.exp((u - 158)/16.0) tau_ui = 1/(kq10*(aui + bui)) ui_inf = 1/(1 + np.exp((u - 99.45)/27.48)) ua = calc_gating_variable(ua, ua_inf, tau_ua, dt) ui = calc_gating_variable(ui, ui_inf, tau_ui, dt) ikur = gkur_coeff*gkur*(ua**3)*ui*(u - ek) return ikur, ua, ui @njit def calc_ikr(u, dt, xr, gkr, ek): """""" Calculates the rapid delayed rectifier potassium current. """""" gkr = 0.0294 # * np.sqrt(ko / 5.4) axr = 0.0003*(u + 14.1)/(1 - np.exp(-(u + 14.1)/5)) bxr = 0.000073898*(u - 3.3328)/(np.exp((u - 3.3328)/5.1237) - 1) tau_xr = 1/(axr + bxr) xr_inf = 1/(1 + np.exp(-(u + 14.1)/6.5)) xr = calc_gating_variable(xr, xr_inf, tau_xr, dt) ikr = (gkr*xr*(u - ek))/(1 + np.exp((u + 15)/22.4)) return ikr, xr @njit def calc_iks(u, dt, xs, gks, ek): """""" Calculates the slow delayed rectifier potassium current. """""" axs = 0.00004*(u - 19.9)/(1 - np.exp(-(u - 19.9)/17)) bxs = 0.000035*(u - 19.9)/(np.exp((u - 19.9)/9) - 1) tau_xs = 1/(2*(axs + bxs)) xs_inf = 1/np.sqrt(1 + np.exp(-(u - 19.9)/12.7)) xs = calc_gating_variable(xs, xs_inf, tau_xs, dt) iks = gks*(xs**2)*(u - ek) return iks, xs @njit def calc_ical(u, dt, d, f, cai, gcal, fca, eca): """""" Calculates the L-type calcium current. """""" tau_d = (1 - np.exp(-(u + 10)/6.24))/(0.035*(u + 10)*(1 + np.exp(-(u + 10)/6.24))) d_inf = 1/(1 + np.exp(-(u + 10)/8.0)) tau_f = 9/(0.0197*np.exp(-(0.0337**2)*((u + 10)**2)) + 0.02) f_inf = 1/(1 + np.exp((u + 28)/6.9)) tau_fca = 2 fca_inf = 1/(1 + cai/0.00035) d = calc_gating_variable(d, d_inf, tau_d, dt) f = calc_gating_variable(f, f_inf, tau_f, dt) fca = calc_gating_variable(fca, fca_inf, tau_fca, dt) ical = gcal*d*f*fca*(u - 65) return ical, d, f, fca @njit def calc_inak(inakmax, nai, nao, ko, kmnai, kmko, F, u, R, T): """""" Calculates the sodium-potassium pump current. """""" s = (1/7.0)*(np.exp(nao/67.3) - 1) fnak = 1/(1 + 0.1245*np.exp(-0.1*(F*u)/(R*T)) + 0.0365*s*np.exp(-(F*u)/(R*T))) inak = inakmax*fnak*(1/(1 + (kmnai/nai)**1.5))*(ko/(ko + kmko)) return inak @njit def calc_inaca(inacamax, nai, nao, cai, cao, kmnancx, kmcancx, ksatncx, F, u, R, T): """""" Calculates the sodium-calcium exchanger current. """""" gamma = 0.35 # Exponential terms with clamping exp_term = np.exp(gamma * (F * u) / (R * T)) exp_rev_term = np.exp((gamma - 1) * (F * u) / (R * T)) # Numerator numerator = inacamax * (exp_term * nai**3 * cao - exp_rev_term * nao**3 * cai) # Denominator term1 = (kmnancx**3 + nao**3) # (K_m,Na^3 + [Na+]_i^3) term2 = (kmcancx + cao) # (K_m,Ca + [Ca2+]_o) term3 = (1 + ksatncx * exp_rev_term) # (1 + k_sat * exp(...)) denominator = term1 * term2 * term3 # Calculate INaCa inaca = numerator / denominator return inaca @njit def calc_ibca(gcab, eca, u): """""" Calculates the background calcium current. """""" ibca = gcab*(u - eca) return ibca @njit def calc_ibna(gnab, ena, u): """""" Calculates the background sodium current. """""" ibna = gnab*(u - ena) return ibna @njit def calc_ipca(ipcamax, cai): """""" Calculates the sarcolemmal calcium pump current. """""" ipca = ipcamax*cai/(cai + 0.0005) return ipca @njit def calc_irel(dt, urel, vrel, irel, wrel, ical, inaca, krel, carel, cai, u, F, Vrel): """""" Calculates the calcium release from the JSR. """""" tau_u = 8 Fn = 1e-12*Vrel*irel - ((5*1e-13)/F)*(0.5*ical - 0.2*inaca) u_inf = 1/(1 + np.exp(-(Fn - 3.4175e-13)/13.67e-16)) tau_v = 1.91 + 2.09/(1 + np.exp(-(Fn - 3.4175e-13)/13.67e-16)) v_inf = 1 - 1/(1 + np.exp(-(Fn - 6.835e-14)/13.67e-16)) tau_w = 6 * (1 - np.exp(-(u - 7.9) / 5.0)) / ((1 + 0.3 * np.exp(-(u - 7.9) / 5.0)) * (u - 7.9)) w_inf = 1 - 1/(1 + np.exp(-(u - 40)/17.0)) urel = calc_gating_variable(urel, u_inf, tau_u, dt) vrel = calc_gating_variable(vrel, v_inf, tau_v, dt) wrel = calc_gating_variable(wrel, w_inf, tau_w, dt) irel = krel*(urel**2)*vrel*wrel*(carel - cai) return irel, urel, vrel, wrel @njit def calc_itr(caup, carel): """""" Calculates the transfer of calcium from the NSR to the JSR. """""" tautr = 180 itr = (caup - carel)/tautr return itr @njit def calc_iup(iupmax, cai, kup): """""" Calculates the uptake of calcium into the NSR. """""" iup = iupmax/(1 + (kup/cai)) return iup @njit def calc_iupleak(caup, caupmax, iupmax): """""" Calculates the leak of calcium from the NSR. """""" iupleak = (caup/caupmax)*iupmax return iupleak @njit(parallel=True) def ionic_kernel_2d(u_new, u, nai, ki, cai, caup, carel, m, h, j_, d, f, oa, oi, ua, ui, xs, xr, fca, irel, vrel, urel, wrel, indexes, dt, gna, gnab, gk1, gkr, gks, gto, gcal, gcab, gkur_coeff, F, T, R, Vc, Vj, Vup, Vrel, ibk, cao, nao, ko, caupmax, kup, kmnai, kmko, kmnancx, kmcancx, ksatncx, kmcmdn, kmtrpn, kmcsqn, trpnmax, cmdnmax, csqnmax, inacamax, inakmax, ipcamax, krel, iupmax, kq10): """""" Computes the ionic currents and updates the state variables in the 2D Courtemanche cardiac model. Parameters ---------- u_new : np.ndarray Updated membrane potential values. u : np.ndarray Current membrane potential values. v : np.ndarray Recovery variable array. indexes : np.ndarray Array of indices where the kernel should be computed (``mesh == 1``). dt : float Time step for the simulation. """""" n_i = u.shape[0] n_j = u.shape[1] for ind in prange(indexes.shape[0]): ii = indexes[ind] i = int(ii/n_j) j = ii % n_j ena, ek, eca = calc_equilibrum_potentials(nai[i, j], nao, ki[i, j], ko, cai[i, j], cao, R, T, F) m[i, j] = calc_gating_m(m[i, j], u[i, j], dt) h[i, j] = calc_gating_h(h[i, j], u[i, j], dt) j_[i, j] = calc_gating_j(j_[i, j], u[i, j], dt) ina = calc_ina(u[i, j], m[i, j], h[i, j], j_[i, j], gna, ena) ik1 = calc_ik1(u[i, j], gk1, ek) ito, oa[i, j], oi[i, j] = calc_ito(u[i, j], dt, kq10, oa[i, j], oi[i, j], gto, ek) ikur, ua[i, j], ui[i, j] = calc_ikur(u[i, j], dt, kq10, ua[i, j], ui[i, j], ek, gkur_coeff) ikr, xr[i, j] = calc_ikr(u[i, j], dt, xr[i, j], gkr, ek) iks, xs[i, j] = calc_iks(u[i, j], dt, xs[i, j], gks, ek) ical, d[i, j], f[i, j], fca[i, j] = calc_ical(u[i, j], dt, d[i, j], f[i, j], cai[i, j], gcal, fca[i, j], eca) inak = calc_inak(inakmax, nai[i, j], nao, ko, kmnai, kmko, F, u[i, j], R, T) inaca = calc_inaca(inacamax, nai[i, j], nao, cai[i, j], cao, kmnancx, kmcancx, ksatncx, F, u[i, j], R, T) ibca = calc_ibca(gcab, eca, u[i, j]) ibna = calc_ibna(gnab, ena, u[i, j]) ipca = calc_ipca(ipcamax, cai[i, j]) irel[i, j], urel[i, j], vrel[i, j], wrel[i, j] = calc_irel(dt, urel[i, j], vrel[i, j], irel[i, j], wrel[i, j], ical, inaca, krel, carel[i, j], cai[i, j], u[i, j], F, Vrel) itr = calc_itr(caup[i, j], carel[i, j]) iup = calc_iup(iupmax, cai[i, j], kup) iupleak = calc_iupleak(caup[i, j], caupmax, iupmax) caup[i, j] = calc_caup(caup[i, j], dt, iup, iupleak, itr, Vrel, Vup) nai[i, j] = calc_nai(nai[i, j], dt, inak, inaca, ibna, ina, F, Vj) ki[i, j] = calc_ki(ki[i, j], dt, inak, ik1, ito, ikur, ikr, iks, ibk, F, Vj) cai[i, j] = calc_cai(cai[i, j], dt, inaca, ipca, ical, ibca, iup, iupleak, irel[i, j], Vrel, Vup, trpnmax, kmtrpn, cmdnmax, kmcmdn, F, Vj) carel[i, j] = calc_carel(carel[i, j], dt, itr, irel[i, j], csqnmax, kmcsqn) u_new[i, j] -= dt * (ina + ik1 + ito + ikur + ikr + iks + ical + ipca + inak + inaca + ibna + ibca) ","Python" "Cell biology","finitewave/Finitewave","finitewave/cpuwave2D/model/bueno_orovio_2d.py",".py","14412","476","import numpy as np from numba import njit, prange from finitewave.core.model.cardiac_model import CardiacModel from finitewave.cpuwave2D.stencil.asymmetric_stencil_2d import ( AsymmetricStencil2D ) from finitewave.cpuwave2D.stencil.isotropic_stencil_2d import ( IsotropicStencil2D ) class BuenoOrovio2D(CardiacModel): def __init__(self): """""" Two-dimensional implementation of the Bueno-Orovio–Cherry–Fenton (BOCF) model for simulating human ventricular tissue electrophysiology. The BOCF model is a minimal phenomenological model developed to capture key ionic mechanisms and reproduce realistic human ventricular action potential dynamics, including restitution, conduction block, and spiral wave behavior. It consists of four variables: transmembrane potential (u), two gating variables (v, w), and one additional slow variable (s), representing calcium-related dynamics. This implementation corresponds to the EPI (epicardial) parameter set described in the paper. Attributes ---------- u : np.ndarray Transmembrane potential (dimensionless, typically in [0, 1.55]). v : np.ndarray Fast gating variable representing sodium channel inactivation. w : np.ndarray Slow recovery variable representing calcium and potassium gating. s : np.ndarray Slow variable related to calcium inactivation. D_model : float Diffusion coefficient for spatial propagation. state_vars : list of str Names of state variables to be saved or restored. npfloat : str Floating point precision (default: 'float64'). Model Parameters (EPI set) -------------------------- u_o : float Resting membrane potential. u_u : float Peak potential (upper bound). theta_v, theta_w : float Activation thresholds for v and w. theta_v_m, theta_o : float Thresholds for switching time constants. tau_v1_m, tau_v2_m : float Time constants for v below/above threshold. tau_v_p : float Decay constant for v. tau_w1_m, tau_w2_m : float Base and transition time constants for w. k_w_m, u_w_m : float Parameters controlling the shape of τw curve. tau_w_p : float Time constant for decay of w above threshold. tau_fi : float Time constant for fast inward current (J_fi). tau_o1, tau_o2 : float Time constants for outward current below/above threshold. tau_so1, tau_so2 : float Time constants for repolarizing tail current. k_so, u_so : float Parameters controlling nonlinearity in tau_so. tau_s1, tau_s2 : float Time constants for the s-gate below/above threshold. k_s, u_s : float Parameters for tanh activation of the s variable. tau_si : float Time constant for slow inward current (J_si). tau_w_inf : float Slope of w∞ below threshold. w_inf_ : float Asymptotic value of w∞ above threshold. Paper ----- Bueno-Orovio, A., Cherry, E. M., & Fenton, F. H. (2008). Minimal model for human ventricular action potentials in tissue. J Theor Biol., 253(3), 544-60. https://doi.org/10.1016/j.jtbi.2008.03.029 """""" super().__init__() self.v = np.ndarray self.w = np.ndarray self.s = np.ndarray self.D_model = 1. self.state_vars = [""u"", ""v"", ""w"", ""s""] self.npfloat = 'float64' # model parameters (EPI) self.u_o = 0.0 self.u_u = 1.55 self.theta_v = 0.3 self.theta_w = 0.13 self.theta_v_m = 0.006 self.theta_o = 0.006 self.tau_v1_m = 60 self.tau_v2_m = 1150 self.tau_v_p = 1.4506 self.tau_w1_m = 60 self.tau_w2_m = 15 self.k_w_m = 65 self.u_w_m = 0.03 self.tau_w_p = 200 self.tau_fi = 0.11 self.tau_o1 = 400 self.tau_o2 = 6 self.tau_so1 = 30.0181 self.tau_so2 = 0.9957 self.k_so = 2.0458 self.u_so = 0.65 self.tau_s1 = 2.7342 self.tau_s2 = 16 self.k_s = 2.0994 self.u_s = 0.9087 self.tau_si = 1.8875 self.tau_w_inf = 0.07 self.w_inf_ = 0.94 # initial conditions self.init_u = 0.0 self.init_v = 1.0 self.init_w = 1.0 self.init_s = 0.0 def initialize(self): """""" Initializes the model for simulation. """""" super().initialize() self.u = self.init_u * np.ones_like(self.u, dtype=self.npfloat) self.v = self.init_v * np.ones_like(self.u, dtype=self.npfloat) self.w = self.init_w * np.ones_like(self.u, dtype=self.npfloat) self.s = self.init_s * np.ones_like(self.u, dtype=self.npfloat) def run_ionic_kernel(self): """""" Executes the ionic kernel for the Bueno-Orovio model. """""" ionic_kernel_2d(self.u_new, self.u, self.v, self.w, self.s, self.cardiac_tissue.myo_indexes, self.dt, self.u_o, self.u_u, self.theta_v, self.theta_w, self.theta_v_m, self.theta_o, self.tau_v1_m, self.tau_v2_m, self.tau_v_p, self.tau_w1_m, self.tau_w2_m, self.k_w_m, self.u_w_m, self.tau_w_p, self.tau_fi, self.tau_o1, self.tau_o2, self.tau_so1, self.tau_so2, self.k_so, self.u_so, self.tau_s1, self.tau_s2, self.k_s, self.u_s, self.tau_si, self.tau_w_inf, self.w_inf_) def select_stencil(self, cardiac_tissue): """""" Selects the appropriate stencil for diffusion based on the tissue properties. If the tissue has fiber directions, an asymmetric stencil is used; otherwise, an isotropic stencil is used. Parameters ---------- cardiac_tissue : CardiacTissue2D A tissue object representing the cardiac tissue. Returns ------- Stencil The stencil object to use for diffusion computations. """""" if cardiac_tissue.fibers is None: return IsotropicStencil2D() return AsymmetricStencil2D() @njit def calc_v(v, u, dt, theta_v, v_inf, tau_v_m, tau_v_p): """""" Updates the fast inactivation gate variable `v`. The variable `v` models the fast sodium channel inactivation. It follows a piecewise ODE with different dynamics depending on whether the membrane potential `u` is above or below `theta_v`. Parameters ---------- v : float Current value of the v gate. u : float Current membrane potential. dt : float Time step. theta_v : float Threshold for switching recovery behavior. v_inf : float Steady-state value of v. tau_v_m : float Time constant for activation (u < threshold). tau_v_p : float Time constant for decay (u >= threshold). Returns ------- float Updated value of the v gate. """""" v_ = (v_inf - v)/tau_v_m if (u - theta_v) < 0 else -v/tau_v_p v += dt*v_ return v @njit def calc_w(w, u, dt, theta_w, w_inf, tau_w_m, tau_w_p): """""" Updates the slow gating variable `w`. The variable `w` represents calcium/potassium channel gating. It has different recovery dynamics below and above the threshold `theta_w`. Parameters ---------- w : float Current value of the w gate. u : float Membrane potential. dt : float Time step. theta_w : float Threshold for switching between time constants. w_inf : float Steady-state value of w. tau_w_m : float Time constant for approach to w_inf (u < threshold). tau_w_p : float Time constant for decay (u >= threshold). Returns ------- float Updated value of the w gate. """""" w_ = (w_inf - w)/tau_w_m if (u - theta_w) < 0 else -w/tau_w_p w += dt*w_ return w @njit def calc_s(s, u, dt, tau_s, k_s, u_s): """""" Updates the slow variable `s`, related to calcium dynamics. The variable `s` evolves toward a tanh-based steady-state function of `u`. Parameters ---------- s : float Current value of the s variable. u : float Membrane potential. dt : float Time step. tau_s : float Time constant. k_s : float Slope of the tanh function. u_s : float Midpoint of the tanh function. Returns ------- float Updated value of the s variable. """""" s += dt*((1 + np.tanh(k_s*(u - u_s)))/2 - s)/tau_s return s @njit def calc_Jfi(u, v, theta_v, u_u, tau_fi): """""" Computes the fast inward sodium current (J_fi). Active when membrane potential exceeds `theta_v`. Models rapid depolarization due to sodium influx. Parameters ---------- u : float Membrane potential. v : float Fast gating variable. theta_v : float Activation threshold. u_u : float Upper limit for depolarization. tau_fi : float Time constant of the fast inward current. Returns ------- float Current value of J_fi. """""" H = 1.0 if (u - theta_v) >= 0 else 0.0 return -v*H*(u - theta_v)*(u_u - u)/tau_fi @njit def calc_Jso(u, u_o, theta_w, tau_o, tau_so): """""" Computes the slow outward current (J_so). Consists of a linear repolarization component below `theta_w` and a constant component above. Parameters ---------- u : float Membrane potential. u_o : float Resting potential (offset). theta_w : float Threshold for switching between components. tau_o : float Time constant below threshold. tau_so : float Time constant above threshold. Returns ------- float Current value of J_so. """""" H = 1.0 if (u - theta_w) >= 0 else 0.0 return (u - u_o)*(1 - H)/tau_o + H/tau_so @njit def calc_Jsi(u, w, s, theta_w, tau_si): """""" Computes the slow inward current (J_si), active during plateau phase. Active only when `u > theta_w` and controlled by gating variables `w` and `s`. Parameters ---------- u : float Membrane potential. w : float Slow gating variable. s : float Calcium-related variable. theta_w : float Threshold for activation. tau_si : float Time constant of slow inward current. Returns ------- float Current value of J_si. """""" H = 1.0 if (u - theta_w) >= 0 else 0.0 return -H*w*s/tau_si @njit def calc_tau_v_m(u, theta_v_m, tau_v1_m, tau_v2_m): """""" Selects time constant for v gate depending on membrane potential. Returns `tau_v1_m` below `theta_v_m`, and `tau_v2_m` above. Returns ------- float Time constant for v gate. """""" return tau_v1_m if (u - theta_v_m) < 0 else tau_v2_m @njit def calc_tau_w_m(u, tau_w1_m, tau_w2_m, k_w_m, u_w_m): """""" Computes smooth transition time constant for w gate using tanh. Returns ------- float Blended time constant for w gate. """""" return tau_w1_m + (tau_w2_m - tau_w1_m)*(1 + np.tanh(k_w_m*(u - u_w_m)))/2 @njit def calc_tau_so(u, tau_so1, tau_so2, k_so, u_so): """""" Computes tau_so using a sigmoidal transition between two values. """""" return tau_so1 + (tau_so2 - tau_so1)*(1 + np.tanh(k_so*(u - u_so)))/2 @njit def calc_tau_s(u, tau_s1, tau_s2, theta_w): """""" Selects tau_s based on threshold. """""" return tau_s1 if (u - theta_w) < 0 else tau_s2 @njit def calc_tau_o(u, tau_o1, tau_o2, theta_o): """""" Selects tau_o based on threshold. """""" return tau_o1 if (u - theta_o) < 0 else tau_o2 @njit def calc_v_inf(u, theta_v_m): """""" Computes the value of v based on membrane potential. """""" return 1.0 if u < theta_v_m else 0.0 @njit def calc_w_inf(u, theta_o, tau_w_inf, w_inf_): """""" Computes the value of w based on membrane potential. """""" return 1 - u/tau_w_inf if (u - theta_o) < 0 else w_inf_ @njit(parallel=True) def ionic_kernel_2d(u_new, u, v, w, s, indexes, dt, u_o, u_u, theta_v, theta_w, theta_v_m, theta_o, tau_v1_m, tau_v2_m, tau_v_p, tau_w1_m, tau_w2_m, k_w_m, u_w_m, tau_w_p, tau_fi, tau_o1, tau_o2, tau_so1, tau_so2, k_so, u_so, tau_s1, tau_s2, k_s, u_s, tau_si, tau_w_inf, w_inf_): """""" Computes the ionic kernel for the Bueno-Orovio 2D model. Parameters ---------- u_new : np.ndarray Array to store the updated action potential values. u : np.ndarray Current action potential array. indexes : np.ndarray Array of indices where the kernel should be computed (``mesh == 1``). dt : float Time step for the simulation. """""" n_j = u.shape[1] for ind in prange(len(indexes)): ii = indexes[ind] i = int(ii / n_j) j = ii % n_j v[i, j] = calc_v(v[i, j], u[i, j], dt, theta_v, calc_v_inf(u[i, j], theta_v_m), calc_tau_v_m(u[i, j], theta_v_m, tau_v1_m, tau_v2_m), tau_v_p) w[i, j] = calc_w(w[i, j], u[i, j], dt, theta_w, calc_w_inf(u[i, j], theta_o, tau_w_inf, w_inf_), calc_tau_w_m(u[i, j], tau_w1_m, tau_w2_m, k_w_m, u_w_m), tau_w_p) s[i, j] = calc_s(s[i, j], u[i, j], dt, calc_tau_s(u[i, j], tau_s1, tau_s2, theta_w), k_s, u_s) J_fi = calc_Jfi(u[i, j], v[i, j], theta_v, u_u, tau_fi) J_so = calc_Jso(u[i, j], u_o, theta_w, calc_tau_o(u[i, j], tau_o1, tau_o2, theta_o), calc_tau_so(u[i, j], tau_so1, tau_so2, k_so, u_so)) J_si = calc_Jsi(u[i, j], w[i, j], s[i, j], theta_w, tau_si) u_new[i, j] += dt * (-J_fi - J_so - J_si)","Python" "Cell biology","finitewave/Finitewave","finitewave/cpuwave2D/model/luo_rudy91_2d.py",".py","16323","515","import numpy as np from numba import njit, prange from finitewave.core.model.cardiac_model import CardiacModel from finitewave.cpuwave2D.stencil.asymmetric_stencil_2d import ( AsymmetricStencil2D ) from finitewave.cpuwave2D.stencil.isotropic_stencil_2d import ( IsotropicStencil2D ) class LuoRudy912D(CardiacModel): """""" Implements the Luo-Rudy 1991 ventricular action potential model. This biophysically detailed model simulates the ionic currents and membrane potential of a ventricular cardiac cell based on Hodgkin-Huxley-type formalism. It was one of the first to incorporate realistic ionic channel kinetics, calcium dynamics, and multiple potassium currents to reproduce key phases of the action potential. The model includes: - Fast Na⁺ current (I_Na) - Slow inward Ca²⁺ current (I_Si) - Time-dependent K⁺ current (I_K) - Time-independent K⁺ current (I_K1) - Plateau K⁺ current (I_Kp) - Background/leak current (I_b) Attributes ---------- state_vars : list of str List of state variable names to save and restore (`u`, `m`, `h`, `j`, `d`, `f`, `x`, `cai`). D_model : float Diffusion coefficient representing electrical conductivity in the medium (typically set to 0.1). gna, gsi, gk, gk1, gkp, gb : float Maximum conductances for Na⁺, Ca²⁺, K⁺, and background channels [mS/μF]. ko, ki, nao, nai, cao : float Ion concentrations in mM (extracellular and intracellular for Na⁺, K⁺, Ca²⁺). R, T, F : float Physical constants: gas constant, temperature in Kelvin, and Faraday constant. PR_NaK : float Sodium/potassium permeability ratio (used in reversal potential calculation for I_K). Paper ----- Luo CH, Rudy Y. A model of the ventricular cardiac action potential. Depolarization, repolarization, and their interaction. Circ Res. 1991 Jun;68(6):1501-26. doi: 10.1161/01.res.68.6.1501. PMID: 1709839. """""" def __init__(self): """""" Initializes the LuoRudy912D instance, setting up the state variables and parameters. """""" CardiacModel.__init__(self) self.D_model = 0.1 self.m = np.ndarray self.h = np.ndarray self.j = np.ndarray self.d = np.ndarray self.f = np.ndarray self.x = np.ndarray self.cai = np.ndarray self.state_vars = [""u"", ""m"", ""h"", ""j"", ""d"", ""f"", ""x"", ""cai""] self.npfloat = 'float64' # Ion Channel Conductances (mS/µF) self.gna = 23.0 # Fast sodium (Na+) conductance self.gsi = 0.09 # Slow inward calcium (Ca2+) conductance self.gk = 0.282 # Time-dependent potassium (K+) conductance self.gk1 = 0.6047 # Inward rectifier potassium (K1) conductance self.gkp = 0.0183 # Plateau potassium (Kp) conductance self.gb = 0.03921 # Background conductance (leak current) # Extracellular and Intracellular Ion Concentrations (mM) self.ko = 5.4 # Extracellular potassium concentration self.ki = 145.0 # Intracellular potassium concentration self.nai = 18.0 # Intracellular sodium concentration self.nao = 140.0 # Extracellular sodium concentration self.cao = 1.8 # Extracellular calcium concentration # Physical Constants self.R = 8.314 # Universal gas constant (J/(mol·K)) self.T = 310.0 # Temperature (Kelvin, 37°C) self.F = 96.5 # Faraday constant (C/mmol) # Ion Permeability Ratios self.PR_NaK = 0.01833 # Na+/K+ permeability ratio # initial conditions self.init_u = -84.5 self.init_m = 0.0017 self.init_h = 0.9832 self.init_j = 0.995484 self.init_d = 0.000003 self.init_f = 1.0 self.init_x = 0.0057 self.init_cai = 0.0002 def initialize(self): """""" Initializes the state variables. This method sets the initial values for the membrane potential ``u``, gating variables ``m``, ``h``, ``j``, ``d``, ``f``, ``x``, and intracellular calcium concentration ``cai``. """""" super().initialize() shape = self.cardiac_tissue.mesh.shape self.u = self.init_u * np.ones(shape, dtype=self.npfloat) self.u_new = self.u.copy() self.m = self.init_m * np.ones(shape, dtype=self.npfloat) self.h = self.init_h * np.ones(shape, dtype=self.npfloat) self.j = self.init_j * np.ones(shape, dtype=self.npfloat) self.d = self.init_d * np.ones(shape, dtype=self.npfloat) self.f = self.init_f * np.ones(shape, dtype=self.npfloat) self.x = self.init_x * np.ones(shape, dtype=self.npfloat) self.cai = self.init_cai * np.ones(shape, dtype=self.npfloat) def run_ionic_kernel(self): """""" Executes the ionic kernel to update the state variables and membrane potential. """""" ionic_kernel_2d(self.u_new, self.u, self.m, self.h, self.j, self.d,self.f, self.x, self.cai, self.cardiac_tissue.myo_indexes, self.dt, self.gna, self.gsi, self.gk, self.gk1, self.gkp, self.gb, self.ko, self.ki, self.nai, self.nao, self.cao, self.R, self.T, self.F, self.PR_NaK) def select_stencil(self, cardiac_tissue): """""" Selects the appropriate stencil for diffusion based on the tissue properties. If the tissue has fiber directions, an asymmetric stencil is used; otherwise, an isotropic stencil is used. Parameters ---------- cardiac_tissue : CardiacTissue2D A tissue object representing the cardiac tissue. Returns ------- Stencil The stencil object to use for diffusion computations. """""" if cardiac_tissue.fibers is None: return IsotropicStencil2D() return AsymmetricStencil2D() @njit def calc_gating_var(var, dt, alpha, beta): """""" Computes the gating variable dynamics based on the Hodgkin-Huxley formalism. Parameters ---------- var : float Current value of the gating variable. dt : float Time step [ms]. alpha : float Rate constant for activation. beta : float Rate constant for inactivation. Returns ------- var_new : float Updated gating variable. """""" tau = 1. / (alpha + beta) inf = alpha / (alpha + beta) var += dt * (inf - var) / tau return var @njit def calc_ina(u, dt, m, h, j, E_Na, gna): """""" Computes the fast inward sodium current (I_Na) and updates gating variables m, h, j. I_Na is responsible for the rapid depolarization (phase 0) of the action potential. It depends on three gates: - m: activation gate (opens quickly), - h: fast inactivation gate, - j: slow inactivation gate. Gating dynamics follow Hodgkin-Huxley kinetics with voltage-dependent time constants and steady-state values. I_Na = g_Na * m^3 * h * j * (u - E_Na). Parameters ---------- u : float Membrane potential [mV]. dt : float Time step [ms]. m, h, j : float Gating variables for the sodium channel. E_Na : float Reversal potential for Na⁺ [mV]. gna : float Maximal sodium conductance [mS/μF]. Returns ------- ina : float Fast sodium current [μA/μF]. m, h, j : float Updated gating variables. """""" alpha_h, beta_h, beta_J, alpha_J = 0, 0, 0, 0 if u >= -40.: beta_h = 1. / (0.13 * (1 + np.exp((u + 10.66) / -11.1))) beta_J = 0.3 * np.exp(-2.535 * 1e-07 * u) / (1 + np.exp(-0.1 * (u + 32))) else: alpha_h = 0.135 * np.exp((80 + u) / -6.8) beta_h = 3.56 * \ np.exp(0.079 * u) + 3.1 * 1e5 * np.exp(0.35 * u) beta_J = 0.1212 * \ np.exp(-0.01052 * u) / \ (1 + np.exp(-0.1378 * (u + 40.14))) alpha_J = (-1.2714 * 1e5 * np.exp(0.2444 * u) - 3.474 * 1e-5 * np.exp(-0.04391 * u)) * \ (u + 37.78) / (1 + np.exp(0.311 * (u + 79.23))) alpha_m = 0.32 * (u + 47.13) / \ (1 - np.exp(-0.1 * (u + 47.13))) beta_m = 0.08 * np.exp(-u / 11) m = calc_gating_var(m, dt, alpha_m, beta_m) h = calc_gating_var(h, dt, alpha_h, beta_h) j = calc_gating_var(j, dt, alpha_J, beta_J) return gna * m * m * m * h * j * (u - E_Na), m, h, j @njit def calc_isk(u, dt, d, f, cai, gsi): """""" Computes the slow inward calcium current (I_Si) and updates d, f, and intracellular calcium. I_Si is primarily carried by L-type Ca²⁺ channels and governs the plateau (phase 2). The reversal potential E_Si is dynamically calculated based on intracellular Ca²⁺ levels. Calcium handling is simplified: part of I_Si is subtracted from intracellular Ca²⁺, while a constant leak term restores it toward a baseline. Parameters ---------- u : float Membrane potential [mV]. dt : float Time step [ms]. d, f : float Activation and inactivation gates of the calcium channel. cai : float Intracellular calcium concentration [mM]. gsi : float Maximal calcium conductance [mS/μF]. Returns ------- I_Si : float Slow inward calcium current [μA/μF]. d, f, cai : float Updated gating variables and intracellular Ca²⁺. """""" E_Si = 7.7 - 13.0287 * np.log(cai) I_Si = gsi * d * f * (u - E_Si) alpha_d = 0.095 * \ np.exp(-0.01 * (u - 5)) / \ (1 + np.exp(-0.072 * (u - 5))) beta_d = 0.07 * \ np.exp(-0.017 * (u + 44)) / \ (1 + np.exp(0.05 * (u + 44))) alpha_f = 0.012 * \ np.exp(-0.008 * (u + 28)) / \ (1 + np.exp(0.15 * (u + 28))) beta_f = 0.0065 * \ np.exp(-0.02 * (u + 30)) / \ (1 + np.exp(-0.2 * (u + 30))) d = calc_gating_var(d, dt, alpha_d, beta_d) f = calc_gating_var(f, dt, alpha_f, beta_f) cai += dt * (-0.0001 * I_Si + 0.07 * (0.0001 - cai)) return I_Si, d, f, cai @njit def calc_ik(u, dt, x, ko, ki, nao, nai, PR_NaK, R, T, F, gk): """""" Computes the time-dependent outward potassium current (I_K) and updates gate x. This current drives late repolarization (phase 3) and is voltage- and time-dependent. Reversal potential is calculated via the Goldman-Hodgkin-Katz equation (with sodium/potassium permeability ratio). An auxiliary factor Xi introduces voltage-sensitive activation near -100 mV. Parameters ---------- u : float Membrane potential [mV]. dt : float Time step [ms]. x : float Activation gate of the delayed rectifier K⁺ channel. ko, ki : float Extra-/intracellular potassium concentrations [mM]. nao, nai : float Extra-/intracellular sodium concentrations [mM]. PR_NaK : float Na⁺/K⁺ permeability ratio. R, T, F : float Gas constant, temperature [K], and Faraday constant. gk : float Maximum potassium conductance [mS/μF]. Returns ------- I_K : float Time-dependent potassium current [μA/μF]. x : float Updated activation gate. """""" E_K = (R * T / F) * \ np.log((ko + PR_NaK * nao) / (ki + PR_NaK * nai)) G_K = gk * np.sqrt(ko / 5.4) Xi = 0 if u > -100: Xi = 2.837 * (np.exp(0.04 * (u + 77)) - 1) / \ ((u + 77) * np.exp(0.04 * (u + 35))) else: Xi = 1 I_K = G_K * x * Xi * (u - E_K) alpha_x = 0.0005 * \ np.exp(0.083 * (u + 50)) / \ (1 + np.exp(0.057 * (u + 50))) beta_x = 0.0013 * \ np.exp(-0.06 * (u + 20)) / \ (1 + np.exp(-0.04 * (u + 20))) x = calc_gating_var(x, dt, alpha_x, beta_x) return I_K, x @njit def calc_ik1(u, ko, E_K1, gk1): """""" Computes the time-independent inward rectifier potassium current (I_K1). I_K1 stabilizes the resting membrane potential and contributes to late repolarization. It is primarily active at negative voltages and follows a voltage-dependent gating-like term (K1_x). Parameters ---------- u : float Membrane potential [mV]. ko : float Extracellular potassium [mM]. E_K1 : float Equilibrium potential for K1 current [mV]. gk1 : float Maximum K1 conductance [mS/μF]. Returns ------- I_K1 : float Time-independent K⁺ current [μA/μF]. """""" alpha_K1 = 1.02 / (1 + np.exp(0.2385 * (u - E_K1 - 59.215))) beta_K1 = (0.49124 * np.exp(0.08032 * (u - E_K1 + 5.476)) + np.exp(0.06175 * (u - E_K1 - 594.31))) / \ (1 + np.exp(-0.5143 * (u - E_K1 + 4.753))) K_1x = alpha_K1 / (alpha_K1 + beta_K1) G_K1 = gk1 * np.sqrt(ko / 5.4) I_K1 = G_K1 * K_1x * (u - E_K1) return I_K1 @njit def calc_ikp(u, E_K1, gkp): """""" Computes the plateau potassium current (I_Kp). I_Kp is a small, quasi-steady outward current that operates in the plateau phase. Its activation is a sigmoid function of voltage. Parameters ---------- u : float Membrane potential [mV]. ko : float Extracellular potassium [mM]. E_K1 : float Equilibrium potential (same as I_K1). gkp : float Plateau potassium conductance [mS/μF]. Returns ------- I_Kp : float Plateau potassium current [μA/μF]. """""" E_Kp = E_K1 K_p = 1. / (1 + np.exp((7.488 - u) / 5.98)) I_Kp = gkp * K_p * (u - E_Kp) return I_Kp @njit def calc_ib(u, gb): """""" Computes the non-specific background (leak) current. This is a linear leak current contributing to resting potential maintenance. Parameters ---------- u : float Membrane potential [mV]. gb : float Background conductance [mS/μF]. Returns ------- I_b : float Background current [μA/μF]. """""" return gb * (u + 59.87) @njit(parallel=True) def ionic_kernel_2d(u_new, u, m, h, j_, d, f, x, cai, indexes, dt, gna, gsi, gk, gk1, gkp, gb, ko, ki, nai, nao, cao, R, T, F, PR_NaK): """""" Computes the ionic currents and updates the state variables in the 2D Luo-Rudy 1991 cardiac model. Parameters ---------- u_new : np.ndarray Array to store the updated membrane potential. u : np.ndarray Array of the current membrane potential values. m : np.ndarray Array for the gating variable `m`. h : np.ndarray Array for the gating variable `h`. j_ : np.ndarray Array for the gating variable `j_`. d : np.ndarray Array for the gating variable `d`. f : np.ndarray Array for the gating variable `f`. x : np.ndarray Array for the gating variable `x`. cai : np.ndarray Array for the intracellular calcium concentration. indexes : np.ndarray Array of indexes where the kernel should be computed (``mesh == 1``). dt : float Time step for the simulation. """""" E_Na = (R*T/F)*np.log(nao/nai) n_j = u.shape[1] for ind in prange(len(indexes)): ii = indexes[ind] i = int(ii / n_j) j = ii % n_j # Fast sodium current: ina, m[i, j], h[i, j], j_[i, j] = calc_ina(u[i, j], dt, m[i, j], h[i, j], j_[i, j], E_Na, gna) # Slow inward current: isi, d[i, j], f[i, j], cai[i, j] = calc_isk(u[i, j], dt, d[i, j], f[i, j], cai[i, j], gsi) # Time-dependent potassium current: ik, x[i, j] = calc_ik(u[i, j], dt, x[i, j], ko, ki, nao, nai, PR_NaK, R, T, F, gk) E_K1 = (R * T / F) * np.log(ko / ki) # Time-independent potassium current: ik1 = calc_ik1(u[i, j], ko, E_K1, gk1) # Plateau potassium current: ikp = calc_ikp(u[i, j], E_K1, gkp) # Background current: ib = calc_ib(u[i, j], gb) # Total time-independent potassium current: ik1t = ik1 + ikp + ib u_new[i, j] -= dt * (ina + isi + ik1t + ik) ","Python" "Cell biology","finitewave/Finitewave","finitewave/cpuwave2D/stimulation/stim_current_matrix_2d.py",".py","2127","64","import numpy as np from finitewave.core.stimulation.stim_current import StimCurrent class StimCurrentMatrix2D(StimCurrent): """""" A class that applies a stimulation current to a 2D cardiac tissue model based on a binary matrix. Attributes ---------- time : float The time at which the stimulation starts. curr_value : float The value of the stimulation current. duration : float The duration of the stimulation. matrix : numpy.ndarray A 2D binary matrix indicating the region of interest for stimulation. Elements greater than 0 represent regions to be stimulated. """""" def __init__(self, time, curr_value, duration, matrix, u_max=None): """""" Initializes the StimCurrentMatrix2D instance. Parameters ---------- time : float The time at which the stimulation starts. curr_value : float The value of the stimulation current. duration : float The duration of the stimulation. matrix : numpy.ndarray A 2D binary matrix indicating the region of interest for stimulation. u_max : float, optional The maximum value of the membrane potential. Default is None. """""" super().__init__(time, curr_value, duration) self.matrix = matrix self.u_max = u_max def stimulate(self, model): """""" Applies the stimulation current to the cardiac tissue model based on the specified binary matrix. The stimulation is applied only if the current time is within the stimulation period and the stimulation has not been previously applied. Parameters ---------- model : CardiacModel The 2D cardiac tissue model. """""" mask = (self.matrix > 0) & (model.cardiac_tissue.mesh == 1) model.u[mask] += model.dt * self.curr_value if self.u_max is not None: model.u[mask] = np.where(model.u[mask] > self.u_max, self.u_max, model.u[mask]) ","Python" "Cell biology","finitewave/Finitewave","finitewave/cpuwave2D/stimulation/stim_voltage_coord_2d.py",".py","2178","68","from finitewave.core.stimulation.stim_voltage import StimVoltage class StimVoltageCoord2D(StimVoltage): """""" A class that applies a voltage stimulus to a 2D cardiac tissue model within a specified region of interest. Parameters ---------- time : float The time at which the stimulation starts. volt_value : float The voltage value to apply to the region of interest. x1 : int The starting x-coordinate of the region of interest. x2 : int The ending x-coordinate of the region of interest. y1 : int The starting y-coordinate of the region of interest. y2 : int The ending y-coordinate of the region of interest. """""" def __init__(self, time, volt_value, x1, x2, y1, y2): """""" Initializes the StimVoltageCoord2D instance. Parameters ---------- time : float The time at which the stimulation starts. volt_value : float The voltage value to apply. x1 : int The starting x-coordinate of the region of interest. x2 : int The ending x-coordinate of the region of interest. y1 : int The starting y-coordinate of the region of interest. y2 : int The ending y-coordinate of the region of interest. """""" super().__init__(time, volt_value) self.x1 = x1 self.x2 = x2 self.y1 = y1 self.y2 = y2 def stimulate(self, model): """""" Applies the voltage stimulus to the cardiac tissue model within the specified region of interest. The voltage is applied only if the current time is within the stimulation period and the stimulation has not been previously applied. Parameters ---------- model : object The cardiac tissue model to which the voltage stimulus is applied. """""" roi_mesh = model.cardiac_tissue.mesh[self.x1: self.x2, self.y1: self.y2] mask = (roi_mesh == 1) model.u[self.x1: self.x2, self.y1: self.y2][mask] = self.volt_value ","Python" "Cell biology","finitewave/Finitewave","finitewave/cpuwave2D/stimulation/__init__.py",".py","271","5","from .stim_current_area_2d import StimCurrentArea2D from .stim_current_coord_2d import StimCurrentCoord2D from .stim_current_matrix_2d import StimCurrentMatrix2D from .stim_voltage_coord_2d import StimVoltageCoord2D from .stim_voltage_matrix_2d import StimVoltageMatrix2D","Python" "Cell biology","finitewave/Finitewave","finitewave/cpuwave2D/stimulation/stim_current_area_2d.py",".py","3050","95","import numpy as np from finitewave.core.stimulation.stim_current import StimCurrent class StimCurrentArea2D(StimCurrent): """""" A class that applies a stimulation current to a 2D cardiac tissue model based on a area coords. Attributes ---------- time : float The time at which the stimulation starts. curr_value : float The value of the stimulation current. duration : float The duration of the stimulation. coords : numpy.ndarray The coordinates of the area to be stimulated. u_max : float The maximum value of the membrane potential. """""" def __init__(self, time, curr_value, duration, coords=None, u_max=None): """""" Initializes the StimCurrentArea2D instance. Parameters ---------- time : float The time at which the stimulation starts. curr_value : float The value of the stimulation current. duration : float The duration of the stimulation. coords : numpy.ndarray The coordinates of the area to be stimulated. u_max : float, optional The maximum value of the membrane potential. Default is None. """""" super().__init__(time, curr_value, duration) self.coords = coords self.u_max = u_max def add_stim_point(self, coord, mesh, size=None): """""" Adds an stimulation point to the area to be stimulated. Parameters ---------- coord : numpy.ndarray The coordinates of the stimulation point. mesh : numpy.ndarray The mesh of the cardiac tissue model. size : float, optional The size of the area to be stimulated. Default is None. """""" self._coord = coord if size is None: self.coords = np.atleast_2d(coord) return tissue_points = np.argwhere(mesh == 1) dist = np.linalg.norm(tissue_points - coord, axis=1) self.coords = tissue_points[dist < size] def initialize(self, model): mask = (model.cardiac_tissue.mesh[tuple(self.coords.T)] == 1) if mask.sum() == 0: raise ValueError(""The specified area does not have healthy cells."") self._coords = self.coords[mask] return super().initialize(model) def stimulate(self, model): """""" Applies the stimulation current to the cardiac tissue model based on the specified binary matrix. The stimulation is applied only if the current time is within the stimulation period and the stimulation has not been previously applied. Parameters ---------- model : CardiacModel The 2D cardiac tissue model. """""" inds = tuple(self._coords.T) model.u[inds] += model.dt * self.curr_value if self.u_max is not None: model.u[inds] = np.where(model.u[inds] > self.u_max, self.u_max, model.u[inds]) ","Python" "Cell biology","finitewave/Finitewave","finitewave/cpuwave2D/stimulation/stim_voltage_matrix_2d.py",".py","1522","47","from finitewave.core.stimulation.stim_voltage import StimVoltage class StimVoltageMatrix2D(StimVoltage): """""" A class that applies a voltage stimulus to a 2D cardiac tissue model according to a specified matrix. """""" def __init__(self, time, volt_value, matrix): """""" Initializes the StimVoltageMatrix2D instance. Parameters ---------- time : float The time at which the stimulation starts. volt_value : float The voltage value to apply. matrix : numpy.ndarray A 2D array where the voltage stimulus is applied to locations with values greater than 0. """""" super().__init__(time, volt_value) self.matrix = matrix def stimulate(self, model): """""" Applies the voltage stimulus to the cardiac tissue model based on the specified matrix. The voltage is applied only if the current time is within the stimulation period and the stimulation has not been previously applied. Parameters ---------- model : CardiacModel The 2D cardiac tissue model. Notes ----- The voltage value is applied to the positions in the cardiac tissue where the corresponding value in ``matrix`` is greater than 0, and the ``model.cardiac_tissue.mesh`` value is 1. """""" mask = (self.matrix > 0) & (model.cardiac_tissue.mesh == 1) model.u[mask] = self.volt_value ","Python" "Cell biology","finitewave/Finitewave","finitewave/cpuwave2D/stimulation/stim_current_coord_2d.py",".py","2944","86","import numpy as np from finitewave.core.stimulation.stim_current import StimCurrent class StimCurrentCoord2D(StimCurrent): """""" A class that applies a stimulation current to a rectangular region of a 2D cardiac tissue model. Attributes ---------- time : float The time at which the stimulation starts. curr_value : float The value of the stimulation current. duration : float The duration of the stimulation. x1 : int The x-coordinate of the lower-left corner of the rectangular region. x2 : int The x-coordinate of the upper-right corner of the rectangular region. y1 : int The y-coordinate of the lower-left corner of the rectangular region. y2 : int The y-coordinate of the upper-right corner of the rectangular region. u_max : float, optional The maximum value of the membrane potential. Default is None. """""" def __init__(self, time, curr_value, duration, x1, x2, y1, y2, u_max=None): """""" Initializes the StimCurrentCoord2D instance. Parameters ---------- time : float The time at which the stimulation starts. curr_value : float The value of the stimulation current. duration : float The duration of the stimulation. x1 : int The x-coordinate of the lower-left corner of the rectangular. x2 : int The x-coordinate of the upper-right corner of the rectangular. y1 : int The y-coordinate of the lower-left corner of the rectangular. y2 : int The y-coordinate of the upper-right corner of the rectangular. u_max : float, optional The maximum value of the membrane potential. Default is None. """""" super().__init__(time, curr_value, duration) self.x1 = x1 self.x2 = x2 self.y1 = y1 self.y2 = y2 self.u_max = u_max def stimulate(self, model): """""" Applies the stimulation current to the specified rectangular region of the cardiac tissue model. The stimulation is applied only if the current time is within the stimulation period and the stimulation has not been previously applied. Parameters ---------- model : CardiacModel The 2D cardiac tissue model. """""" roi_mesh = model.cardiac_tissue.mesh[self.x1:self.x2, self.y1:self.y2] mask = (roi_mesh == 1) model.u[self.x1:self.x2, self.y1:self.y2][mask] += model.dt * self.curr_value if self.u_max is not None: u = model.u[self.x1: self.x2, self.y1: self.y2][mask] model.u[self.x1: self.x2, self.y1: self.y2][mask] = np.where(u > self.u_max, self.u_max, u) ","Python" "Cell biology","finitewave/Finitewave","finitewave/cpuwave2D/exception/__init__.py",".py","84","1","from finitewave.cpuwave2D.exception.exceptions_2d import IncorrectWeightsModeError2D","Python" "Cell biology","finitewave/Finitewave","finitewave/cpuwave2D/exception/exceptions_2d.py",".py","1100","38","class IncorrectWeightsModeError2D(Exception): """""" Exception raised for invalid modes in the CardiacTissue2D class. Attributes ---------- mode : str The invalid mode that caused the exception. message : str Explanation of the error. """""" def __init__(self, mode, message=""CardiacTissue2D mode attribute must be 'iso' or 'aniso'""): """""" Initializes the IncorrectWeightsModeError2D exception. Parameters ---------- mode : str The invalid mode that caused the exception. message : str, optional Explanation of the error (default is ""CardiacTissue2D mode attribute must be 'iso' or 'aniso'""). """""" self.mode = mode self.message = message super().__init__(self.message) def __str__(self): """""" Returns a string representation of the exception. Returns ------- str A string describing the error including the invalid mode. """""" return f""{self.message} (Invalid mode: '{self.mode}')"" ","Python" "Cell biology","finitewave/Finitewave","finitewave/cpuwave2D/tracker/local_activation_time_2d_tracker.py",".py","3734","102","import numpy as np from finitewave.core.tracker.tracker import Tracker class LocalActivationTime2DTracker(Tracker): """""" A class to compute and track multiple activation times in a 2D cardiac tissue model simulation. This tracker monitors the potential across the cardiac tissue and records the times when cells surpass a specific threshold, supporting multiple activations such as re-entrant waves or multiple excitations. The activation times are stored in a array where each element is an array storing the activation times for each cell. Arrays can be not fully filled if faster cells activate before slower ones. In oreder to get the full activation times, the user should select the next closest activation time to the desired time base. Attributes ---------- act_t : list of np.ndarray A list where each element is an array storing activation times for each cell. Preferably accessed through the output property. threshold : float The potential threshold to determine cell activation. file_name : str The file name for saving the activation times. """""" def __init__(self): """""" Initializes the MultiActivationTime2DTracker with default parameters. """""" Tracker.__init__(self) self.act_t = [] # Initialize activation times as an empty array self.threshold = -40 # Activation threshold self.file_name = ""local_act_time_2d"" # Output file name self._activated = np.ndarray # Array to store the activation state def initialize(self, model): """""" Initializes the tracker with the simulation model and precomputes necessary values. Parameters ---------- model : CardiacModel The cardiac tissue model object containing the data to be tracked. """""" self.model = model # Initialize with a single layer of -1 (no activation) self.act_t = [-np.ones_like(self.model.u)] self._activated = np.full(self.model.u.shape, 0, dtype=bool) def _track(self): """""" Tracks and stores activation times for each cell in the model at each time step. """""" cross_mask = self.cross_threshold() # Check if there are already activated cells in the current # activation layer if np.any(self.act_t[-1][cross_mask] > -1): self.act_t.append(-np.ones(self.model.u.shape)) # Update activation times where the threshold is crossed self.act_t[-1] = np.where(cross_mask, self.model.t, self.act_t[-1]) def cross_threshold(self): """""" Detects the cells that crossed the threshold and are not activated yet. Returns ------- np.ndarray A binary array where 1 indicates cells that crossed the threshold and are not activated yet. """""" # Mask for cells that crossed the threshold and are not activated yet cross_mask = ((self.model.u >= self.threshold) & (self._activated == 0)) self._activated = np.where(cross_mask, 1, self._activated) # Set inactive cells that backcrossed the threshold after activation backcross_mask = ((self.model.u < self.threshold) & (self._activated == 1)) self._activated = np.where(backcross_mask, 0, self._activated) return cross_mask @property def output(self): """""" Returns the activation times. Returns ------- np.ndarray The array containing the activation times for each cell. """""" return np.array(self.act_t) ","Python" "Cell biology","finitewave/Finitewave","finitewave/cpuwave2D/tracker/spiral_wave_core_2d_tracker.py",".py","7127","250","from pathlib import Path from math import sqrt import pandas as pd from numba import njit from numba.typed import List from finitewave.core.tracker.tracker import Tracker class SpiralWaveCore2DTracker(Tracker): """""" A class to track spiral wave tips in a 2D cardiac tissue model. This tracker identifies and records the positions of spiral wave tips by analyzing voltage isoline crossings in the simulated 2D grid over time. Attributes ---------- threshold : float Voltage threshold value for detecting spiral tips. file_name : str Name of the file to save the tracked spiral tip data. spiral_wave_cores : list of pd.DataFrame List of tracked spiral core data. """""" def __init__(self): """""" Initializes the Spiral2DTracker with default parameters. """""" Tracker.__init__(self) self.threshold = 0.5 self.file_name = ""spiral_wave_core"" self.sprial_wave_cores = [] def initialize(self, model): """""" Initialize the tracker with the given cardiac tissue model. Parameters ---------- model : object The cardiac tissue simulation model containing the grid and voltage data. """""" self.model = model self.u_prev = self.model.u.copy() def track_tip_line(self, u, u_new, threshold): """""" Track spiral wave tips in a 2D grid by detecting crossings of voltage isolines. Parameters ---------- u : np.ndarray 2D array representing the old voltage values. u_new : np.ndarray 2D array representing the new voltage values. threshold : float Voltage threshold value for detecting spiral tips. Returns ------- List List of detected spiral tip positions. """""" return list(_track_tip_line(u, u_new, threshold)) def _track(self): """""" Track spiral tips at each simulation step by analyzing voltage data. The tracker is updated at each simulation step, detecting any spiral tips based on the voltage data from the previous and current steps. """""" tips = self.track_tip_line(self.u_prev, self.model.u, self.threshold) tips = pd.DataFrame(tips, columns=[""x"", ""y""]) tips[""time""] = self.model.t tips[""step""] = self.model.step self.sprial_wave_cores.append(tips) self.u_prev = self.model.u.copy() def write(self): """""" Save the tracked spiral tip data to a file. """""" self.output.to_csv(Path(self.path, self.file_name).with_suffix("".csv"")) @property def output(self): """""" Get the tracked spiral core data. Returns ------- pd.DataFrame A DataFrame containing the tracked spiral core data. """""" validated = [df for df in self.sprial_wave_cores if not df.empty] if not validated: return pd.DataFrame(columns=[""x"", ""y"", ""time"", ""step""]) return pd.concat(validated, ignore_index=True) @njit def _correct_tip_pos(i, j, u, u_new, threshold): """""" Correct the position of a detected spiral wave tip. This function corrects the position of a detected spiral wave tip by solving a system of equations to find the intersection of voltage isolines. Parameters ---------- i, j : int Grid indices. u, u_new : np.ndarray 2D arrays representing the old and new voltage values. threshold : float Voltage threshold value for detecting spiral tips. """""" # Compute various differences for both old and new voltage values AC = u[i, j] - u[i, j+1] + u[i+1, j+1] - u[i+1, j] GC = u[i, j+1] - u[i, j] BC = u[i+1, j] - u[i, j] DC = u[i, j] - threshold AD = u_new[i, j] - u_new[i, j+1] + u_new[i+1, j+1] - u_new[i+1, j] GD = u_new[i, j+1] - u_new[i, j] BD = u_new[i+1, j] - u_new[i, j] DD = u_new[i, j] - threshold # Compute intermediate values for solving the system of equations Q = BC * AD - BD * AC R = GC * AD - GD * AC S = DC * AD - DD * AC QOnR = Q / R SOnR = S / R T = AC * QOnR U = AC * SOnR - BC + GC * QOnR V = GC * SOnR - DC # Calculate the discriminant for the quadratic formula discriminant = U * U - 4. * T * V if discriminant < 0: return # Two possible solutions for (x, y) coordinates T2 = 2. * T if T2 == 0.: return xn = (-U - sqrt(discriminant)) / T2 xp = (-U + sqrt(discriminant)) / T2 yn = -QOnR * xn - SOnR yp = -QOnR * xp - SOnR # Ensure the points lie within the valid grid range if 0 <= xn <= 1 and 0 <= yn <= 1: return [xn, yn] if 0 <= xp <= 1 and 0 <= yp <= 1: return [xp, yp] return @njit def _apply_threshold(i, j, u, threshold): """""" Apply a voltage threshold to a 2D grid to detect spiral wave tips. This function applies a voltage threshold to the 2D grid to detect spiral wave tips by identifying grid points where the voltage crosses the specified threshold. Parameters ---------- i, j : int Grid indices. u : np.ndarray 2D array representing the voltage values. threshold : float Voltage threshold value for detecting spiral tips. Returns ------- int 1 if the voltage crosses the threshold; otherwise, 0. """""" if (u[i][j] >= threshold and (u[i + 1][j] < threshold or u[i][j + 1] < threshold or u[i + 1][j + 1] < threshold)): return 1 if (u[i][j] < threshold and (u[i + 1][j] >= threshold or u[i][j + 1] >= threshold or u[i + 1][j + 1] >= threshold)): return 1 return 0 @njit def _track_tip_line(u, u_new, threshold): """""" Track spiral wave tips in a 2D grid by detecting crossings of voltage isolines. This function searches for spiral tips in XY planes by detecting where the voltage crosses specified thresholds in both the old and new voltage values. Parameters ---------- u, u_new : np.ndarray 2D arrays representing the old and new voltage values. threshold : float Voltage threshold value for detecting spiral tips. Returns ------- List List of detected spiral tip positions. """""" out = List() size_i, size_j = u.shape delta = 5 # Safety margin to avoid boundary for i in range(delta, size_i - delta): for j in range(delta, size_j - delta): counter = _apply_threshold(i, j, u, threshold) if counter == 1: counter += _apply_threshold(i, j, u_new, threshold) if counter == 2: correction = _correct_tip_pos(i, j, u, u_new, threshold) if correction is not None: out.append([j + correction[1], i + correction[0]]) return out ","Python" "Cell biology","finitewave/Finitewave","finitewave/cpuwave2D/tracker/ecg_2d_tracker.py",".py","4328","153","from pathlib import Path import numpy as np from numba import njit, prange from scipy.spatial import distance from finitewave.core.tracker.tracker import Tracker class ECG2DTracker(Tracker): """""" A class to compute and track electrocardiogram (ECG) signals from a 2D cardiac tissue model simulation. This tracker calculates ECG signals at specified measurement points by computing the potential differences across the cardiac tissue mesh and considering the inverse square of the distance from each measurement point. Attributes ---------- measure_coords : np.ndarray An array of points (x, y, z) where ECG signals are measured. ecg : list The computed ECG signals. file_name : str The name of the file to save the computed ECG signals. u_tr : np.ndarray The updated potential values after diffusion. """""" def __init__(self, measure_coords=None): """""" Initializes the ECG2DTracker with default parameters. Parameters ---------- distance_power : int, optional The power to which the distance is raised in the calculation of the ECG signal. The default is 1. """""" super().__init__() self.measure_coords = measure_coords self.ecg = [] self.file_name = ""ecg.npy"" self.u_tr = None def initialize(self, model): """""" Initialize the ECG tracker with the model object. Parameters ---------- model : CardiacModel3D The model object containing the simulation parameters. """""" self.model = model self.measure_coords = np.atleast_2d(self.measure_coords) self.ecg = [] self.u_tr = np.zeros_like(model.u) def calc_ecg(self): """""" Calculate the ECG signal at the measurement points. Returns ------- np.ndarray The computed ECG signal. """""" self.model.diffusion_kernel(self.u_tr, self.model.u, self.model.weights, self.model.cardiac_tissue.myo_indexes) ecg = compute_ecg(self.u_tr, self.model.u, self.measure_coords, self.model.dr, self.model.cardiac_tissue.myo_indexes) return ecg def _track(self): """""" Tracks and stores ECG signals at the specified intervals. This method should be called at each time step of the simulation. """""" ecg = self.calc_ecg() self.ecg.append(ecg) @property def output(self): """""" Get the computed ECG signals as a numpy array. Returns ------- np.ndarray The computed ECG signals. """""" return np.array(self.ecg) def write(self): """""" Save the computed ECG signals to a file. The ECG signals are saved as a numpy array in the specified path. """""" if not Path(self.path).exists(): Path(self.path).mkdir(parents=True) np.save(Path(self.path).joinpath(self.file_name).with_suffix('.npy'), self.output) @njit(parallel=True) def compute_ecg(u_tr, u, coords, dr, indexes): """""" Performs isotropic diffusion on a 2D grid. Parameters ---------- u_tr : numpy.ndarray A 2D array to store the updated potential values after diffusion. u : numpy.ndarray A 2D array representing the current potential values before diffusion. coord : tuple The coordinates of the measurement point. dr : float The spatial resolution of the grid. indexes : numpy.ndarray A 1D array of indices of the healthy tissue points. """""" n_j = u.shape[1] n_c = len(coords) ecg = np.zeros(n_c) for c in range(n_c): x, y, z = coords[c] ecg_ = 0 for ind in prange(len(indexes)): ii = indexes[ind] i = ii // n_j j = ii % n_j d = (x - i)**2 + (y - j)**2 + (z)**2 if d > 0: ecg_ += (u_tr[i, j] - u[i, j]) / (d * dr) ecg[c] = ecg_ return ecg","Python" "Cell biology","finitewave/Finitewave","finitewave/cpuwave2D/tracker/period_2d_tracker.py",".py","2515","79","from pathlib import Path import numpy as np import pandas as pd import json from .local_activation_time_2d_tracker import LocalActivationTime2DTracker class Period2DTracker(LocalActivationTime2DTracker): """""" A class to track activation periods of cells in a 2D cardiac tissue model using detectors. Attributes ---------- cell_ind : list or list of lists with two indices The indices [i, j] of the cell where the variables are tracked. List of lists can be used to track multiple cells. file_name : str The name of the file to save the computed activation periods. """""" def __init__(self): """""" Initializes the Period2DTracker with default parameters. """""" super().__init__() self.cell_ind = [] self.file_name = ""period"" # File name for saving tracked data def initialize(self, model): """""" Initializes the tracker with the simulation model and preallocates memory for tracking. Parameters ---------- model : object The cardiac tissue model object containing the data to be tracked. """""" super().initialize(model) self.act_t = [-np.ones(len(np.atleast_2d(self.cell_ind)))] def _track(self): """""" Tracks and stores activation times for each cell in the model at each time step. """""" cross_mask = self.cross_threshold() cross_mask = cross_mask[tuple(np.atleast_2d(self.cell_ind).T)] # Check if there are already activated cells in the current # activation layer if np.any(self.act_t[-1][cross_mask] > -1): self.act_t.append(-np.ones(len(np.atleast_2d(self.cell_ind)))) # Update activation times where the threshold is crossed self.act_t[-1] = np.where(cross_mask, self.model.t, self.act_t[-1]) @property def output(self): """""" Property to get the computed activation periods. Returns ------- pd.DataFrame A DataFrame containing the computed activation periods. """""" lats = np.array(self.act_t) lats = pd.DataFrame(lats.T) periods = lats.apply(lambda row: np.diff(row[row != -1]), axis=1) return periods def write(self): """""" Saves the computed activation periods to a CSV file. """""" periods = self.output periods.to_csv(Path(self.path, self.file_name).with_suffix("".csv"")) ","Python" "Cell biology","finitewave/Finitewave","finitewave/cpuwave2D/tracker/animation_2d_tracker.py",".py","4092","116","from pathlib import Path import numpy as np from finitewave.core.tracker.tracker import Tracker from finitewave.tools import Animation2DBuilder class Animation2DTracker(Tracker): """""" A class to track and save frames of a 2D cardiac tissue model simulation for animation purposes. This tracker periodically saves the state of a specified target array from the model to disk as NumPy files, which can later be used to create animations. Attributes ---------- dir_name : str Directory for saving frames. variable_name : str Name of the target array to capture. frame_type : str Default frame format settings. overwrite : bool Overwrite existing frames. file_name : str Name of the animation file. """""" def __init__(self): """""" Initializes the Animation2DTracker with default parameters. """""" Tracker.__init__(self) self.dir_name = ""animation"" # Directory for saving frames self.variable_name = ""u"" # Name of the target array to capture self.frame_type = ""float64"" # Default frame format settings self._frame_counter = 0 # Internal frame counter self.overwrite = True # Overwrite existing frames self.file_name = ""animation"" # Name of the animation file def initialize(self, model): """""" Initializes the tracker with the simulation model and sets up directories for saving frames. Parameters ---------- model : object The cardiac tissue model object containing the data to be tracked. """""" self.model = model self._frame_counter = 0 # Reset frame counter if not Path(self.path, self.dir_name).is_dir(): Path(self.path, self.dir_name).mkdir(parents=True) if self.overwrite: for file in Path(self.path, self.dir_name).glob(""*.npy""): file.unlink() def _track(self): """""" Saves frames based on the specified step interval and target array. The frames are saved in the specified directory as NumPy files. """""" frame = self.model.__dict__[self.variable_name] dir_path = Path(self.path, self.dir_name) np.save(dir_path.joinpath(str(self._frame_counter) ).with_suffix("".npy""), frame.astype(self.frame_type)) self._frame_counter += 1 def write(self, shape_scale=1, fps=12, cmap=""coolwarm"", clim=[0, 1], clear=False, prog_bar=True): """""" Creates an animation from the saved frames using the Animation2DBuilder class. Fibrosis and boundaries will be shown in black. Parameters ---------- shape_scale : int, optional Scale factor for the frame size. The default is 5. fps : int, optional Frames per second for the animation. The default is 12. cmap : str, optional Color map for the animation. The default is 'coolwarm'. clim : list, optional Color limits for the animation. The default is [0, 1]. clear : bool, optional Clear the snapshot folder after creating the animation. The default is False. prog_bar : bool, optional Show a progress bar during the animation creation. The default is True. """""" animation_builder = Animation2DBuilder() path = Path(self.path, self.dir_name) mask = self.model.cardiac_tissue.mesh != 1 animation_builder.write(path, animation_name=self.file_name, mask=mask, shape_scale=shape_scale, fps=fps, clim=clim, shape=mask.shape, cmap=cmap, clear=clear, prog_bar=prog_bar) ","Python" "Cell biology","finitewave/Finitewave","finitewave/cpuwave2D/tracker/__init__.py",".py","1343","34",""""""" 2D Tracker ---------- This module contains classes for tracking the evolution of the wavefront in 2D. The tracker classes can be grouped into the following categories: * Full field trackers that track the entire field and output the results in a single array. * Point trackers that track the evolution of a specific point(s) in the field. * Animation trackers that track the evolution of the field over time and save the results as frames for creating animations. Each tracker class has basic attributes such as ``start_time``, ``end_time``, ``step``, ``path``, and ``file_name``. .. note:: Note that the ``start_time`` and ``end_time`` is given in time units, and the ``step`` is the number of time steps between recordings. """""" from .action_potential_2d_tracker import ActionPotential2DTracker from .activation_time_2d_tracker import ActivationTime2DTracker from .animation_2d_tracker import Animation2DTracker from .ecg_2d_tracker import ECG2DTracker from .local_activation_time_2d_tracker import LocalActivationTime2DTracker from .multi_variable_2d_tracker import MultiVariable2DTracker from .period_2d_tracker import Period2DTracker from .period_animation_2d_tracker import PeriodAnimation2DTracker from .spiral_wave_core_2d_tracker import SpiralWaveCore2DTracker from .variable_2d_tracker import Variable2DTracker ","Python" "Cell biology","finitewave/Finitewave","finitewave/cpuwave2D/tracker/multi_variable_2d_tracker.py",".py","3328","99","from pathlib import Path import numpy as np from finitewave.core.tracker.tracker import Tracker class MultiVariable2DTracker(Tracker): """""" A class to track multiple variables at a specific cell in a 2D cardiac tissue model simulation. This tracker monitors user-defined variables at a specified cell index and records their values over time. Attributes ---------- var_list : list of str A list of variable names to be tracked. cell_ind : list or list of lists with two indices The indices [i, j] of the cell where the variables are tracked. List of lists can be used to track multiple cells. dir_name : str The directory name where tracked variables are saved. vars : dict A dictionary where each key is a variable name, and the value is an array of its tracked values over time. """""" def __init__(self): """""" Initializes the MultiVariable2DTracker with default parameters. """""" Tracker.__init__(self) self.var_list = [] # List of variables to be tracked self.cell_ind = [1, 1] # Cell index to track variables self.dir_name = ""multi_vars"" # Directory to save tracked variables self.vars = {} # Dictionary to store tracked variables def initialize(self, model): """""" Initializes the tracker with the simulation model and precomputes necessary values for each variable. Parameters ---------- model : object The cardiac tissue model object containing the data to be tracked. """""" self.vars = {} self.model = model # Initialize storage for each variable to be tracked for var_ in self.var_list: if var_ not in self.model.__dict__: raise ValueError(f""Variable '{var_}' not found in model."") self.vars[var_] = [] def _track(self): """""" Tracks and stores the values of each specified variable at each time step. This method should be called at each time step of the simulation. """""" # Track the value of each variable at the specified cell index # Make possible to track multiple cells cell_ind = tuple(np.atleast_2d(self.cell_ind).T) for var_ in self.var_list: var_values = self.model.__dict__[var_] self.vars[var_].append(var_values[cell_ind]) @property def output(self): """""" Returns the tracked variables data. Returns ------- dict A dictionary where each key is a variable name, and the value is an array of its tracked values over time. """""" vars = {} for var_ in self.var_list: vars[var_] = np.squeeze(self.vars[var_]) return vars def write(self): """""" Saves the tracked variables to disk as NumPy files. """""" # Create the output directory if it does not exist if not Path(self.path, self.dir_name).is_dir(): Path(self.path, self.dir_name).mkdir(parents=True) # Save each tracked variable to a file for var_ in self.var_list: np.save(Path(self.path, self.dir_name, f""{var_}.npy""), self.output[var_]) ","Python" "Cell biology","finitewave/Finitewave","finitewave/cpuwave2D/tracker/period_animation_2d_tracker.py",".py","4174","113","from pathlib import Path import numpy as np from finitewave.tools.animation_2d_builder import Animation2DBuilder from .local_activation_time_2d_tracker import LocalActivationTime2DTracker class PeriodAnimation2DTracker(LocalActivationTime2DTracker): """""" A class to track the periods of activation for each cell in a 2D cardiac tissue model. This class extends Animation2DTracker to create and save a period map that shows the time interval between successive activations of each cell that crosses a given threshold. The period map is saved at each time step. Attributes ---------- dir_name : str The directory name to save the period maps. file_name : str The file name for saving the period maps. overwrite : bool Whether to overwrite existing period maps. period_map : np.ndarray The array to store activation periods. """""" def __init__(self): """""" Initializes the PeriodMap2DTracker with default parameters. """""" super().__init__() self.dir_name = ""period"" # Directory to save the period maps self.file_name = ""period"" # File name for saving the period maps self.overwrite = False # Overwrite existing period maps self._frame_counter = 0 # Counter to track the current frame number self.period_map = np.ndarray # Array to store activation periods def initialize(self, model): """""" Initializes the tracker with the simulation model and preallocates memory for tracking. Parameters ---------- model : object The cardiac tissue model object containing the data to be tracked. """""" # Initialize the period map and state arrays self.model = model self._frame_counter = 0 self.period_map = - np.ones_like(self.model.u) self._activated = np.full(self.model.u.shape, 0, dtype=bool) if not Path(self.path, self.dir_name).is_dir(): Path(self.path, self.dir_name).mkdir(parents=True) if self.overwrite: for file in Path(self.path, self.dir_name).glob(""*.npy""): file.unlink() def _track(self): """""" Tracks the activation periods at each time step of the simulation. This method calculates the time interval between successive activations for each cell, updates the period map, and saves it to a file. """""" cross_mask = self.cross_threshold() self.period_map = np.where(cross_mask, self.model.t, self.period_map) np.save(Path(self.path, self.dir_name, str(self._frame_counter) ).with_suffix("".npy""), self.period_map) self._frame_counter += 1 def write(self, shape_scale=3, fps=10, clim=None, cmap=""viridis"", clear=True, prog_bar=True): """""" Creates an animation from the saved period maps. Parameters ---------- shape_scale : int, optional The scaling factor for the shape of the period map. fps : int, optional The frames per second for the animation. clim : list, optional The color limits for the animation. cmap : str, optional The color map for the animation. clear : bool, optional Whether to clear the directory before saving the animation. prog_bar : bool, optional Whether to show a progress bar during the animation creation. """""" animation_builder = Animation2DBuilder() path = Path(self.path, self.dir_name) mask = self.model.cardiac_tissue.mesh != 1 animation_builder.write(path, animation_name=self.file_name, mask=mask, shape_scale=shape_scale, fps=fps, clim=clim, shape=mask.shape, cmap=cmap, clear=clear, prog_bar=prog_bar) ","Python" "Cell biology","finitewave/Finitewave","finitewave/cpuwave2D/tracker/action_potential_2d_tracker.py",".py","2087","66","import numpy as np from finitewave.core.tracker.tracker import Tracker class ActionPotential2DTracker(Tracker): """""" A class to track and record the action potential of a specific cell in a 2D cardiac tissue model. This tracker monitors the membrane potential of a single cell at each time step and stores the data in an array for later analysis or visualization. Attributes ---------- act_pot : np.ndarray Array to store the action potential values at each time step. cell_ind : list or list of lists with two indices Coordinates of the cell to be tracked in the 2D model grid. file_name : str Name of the file where the tracked action potential data will be saved. """""" def __init__(self): """""" Initializes the ActionPotential2DTracker with default parameters. """""" Tracker.__init__(self) self.act_pot = [] # Initialize the array to store action potential self.cell_ind = [1, 1] # Default cell indices to track self.file_name = ""act_pot"" # Default file name for saving data def initialize(self, model): """""" Initializes the tracker with the simulation model, setting up the action potential array. Parameters ---------- model : object The cardiac tissue model object that contains simulation parameters like `t_max` (maximum time) and `dt` (time step). """""" self.model = model def _track(self): """""" Records the action potential (`u`) of the specified cell at the current time step. """""" # Make possible to track multiple cells cell_ind = tuple(np.atleast_2d(self.cell_ind).T) self.act_pot.append(self.model.u[cell_ind]) @property def output(self): """""" Returns the tracked action potential data. Returns ------- np.ndarray The array containing the tracked action potential values. """""" return np.squeeze(self.act_pot) ","Python" "Cell biology","finitewave/Finitewave","finitewave/cpuwave2D/tracker/activation_time_2d_tracker.py",".py","2459","76","from pathlib import Path import numpy as np from finitewave.core.tracker.tracker import Tracker class ActivationTime2DTracker(Tracker): """""" A class to track and record the activation time of each cell in a 2D cardiac tissue model. This tracker monitors the membrane potential of each cell and records the time at which the potential crosses a certain threshold, indicating cell activation. Attributes ---------- act_t : np.ndarray Array to store the activation time of each cell in the 2D model grid. threshold : float The membrane potential threshold value that determines cell activation. file_name : str Name of the file where the tracked activation time data will be saved. """""" def __init__(self): """""" Initializes the ActivationTime2DTracker with default parameters. """""" Tracker.__init__(self) self.act_t = np.ndarray # Array to store activation times self.threshold = -40 # Threshold for activation (in mV) self.file_name = ""act_time_2d"" # Default file name for saving data def initialize(self, model): """""" Initializes the tracker with the simulation model, setting up the activation time array. Parameters ---------- model : object The cardiac tissue model object that contains the grid (`u`) of membrane potentials. """""" self.model = model # Initialize activation time array with -1 to indicate unactivated cells self.act_t = - np.ones_like(self.model.u) def _track(self): """""" Records the activation time of each cell based on the threshold crossing. The activation time is recorded as the first instance where the membrane potential of a cell crosses the threshold value. """""" # Update activation times where they are still -1 and the membrane # potential exceeds the threshold self.act_t = np.where((self.act_t < 0) & (self.model.u > self.threshold), self.model.t, self.act_t) @property def output(self): """""" Returns the tracked activation time data. Returns ------- np.ndarray The array containing the activation time of each cell in the grid. """""" return self.act_t ","Python" "Cell biology","finitewave/Finitewave","finitewave/cpuwave2D/tracker/variable_2d_tracker.py",".py","1345","53","from pathlib import Path import numpy as np from .multi_variable_2d_tracker import MultiVariable2DTracker class Variable2DTracker(MultiVariable2DTracker): """""" A tracker that records the values of specified variables from a 2D model over time at a given grid point. Attributes ---------- cell_ind : list The indices [i, j] of the cell where the variable is tracked. """""" def __init__(self): super().__init__() self.cell_ind = [1, 1] @property def var_name(self): """""" The name of the variable to be tracked. """""" return self.var_list[0] @var_name.setter def var_name(self, value): self.var_list = [value] @property def output(self): """""" Property to get the tracked variable values. Returns ------- np.ndarray The values of the tracked variable at the specified grid point. """""" return self.vars[self.var_name] def write(self): """""" Saves the tracked variables to disk as NumPy files. """""" if not Path(self.path, self.dir_name).exists(): Path(self.path, self.dir_name).mkdir(parents=True) np.save(Path(self.path, self.dir_name, self.var_name).with_suffix('.npy'), self.output) ","Python" "Cell biology","finitewave/Finitewave","finitewave/cpuwave2D/stencil/asymmetric_stencil_2d.py",".py","12749","434","import numpy as np from numba import njit, prange from finitewave.core.stencil.stencil import Stencil class AsymmetricStencil2D(Stencil): """""" This class computes the weights for diffusion on a 2D using an asymmetric stencil. The weights are calculated based on diffusion coefficients and fiber orientations. The stencil includes 9 points: the central point and 8 surrounding points. The boundary conditions are Neumann with first-order approximation. Attributes ---------- D_al : float Longitudinal diffusion coefficient. D_ac : float Cross-sectional diffusion coefficient. Notes ----- The diffusion coefficients are general and should be adjusted according to the specific model. These parameters only set the ratios between longitudinal and cross-sectional diffusion. The method assumes weights being used in the following order: - ``w[i, j, 0] : (i-1, j-1)``, - ``w[i, j, 1] : (i-1, j)``, - ``w[i, j, 2] : (i-1, j+1)``, - ``w[i, j, 3] : (i, j-1)``, - ``w[i, j, 4] : (i, j)``, - ``w[i, j, 5] : (i, j+1)``, - ``w[i, j, 6] : (i+1, j-1)``, - ``w[i, j, 7] : (i+1, j)``, - ``w[i, j, 8] : (i+1, j+1)``. """""" def __init__(self): super().__init__() self.D_al = 1 self.D_ac = 1/9 def compute_weights(self, model, cardiac_tissue): """""" Computes the weights for diffusion on a 2D mesh using an asymmetric stencil. Parameters ---------- model : CardiacModel2D A model object containing the simulation parameters. cardiac_tissue : CardiacTissue2D A 2D cardiac tissue object. Returns ------- np.ndarray Array of weights for diffusion with the shape of (*mesh.shape, 9). """""" # convert fibrotic areas to non-tissue mesh = cardiac_tissue.mesh.copy() mesh[mesh != 1] = 0 conductivity = cardiac_tissue.conductivity conductivity = conductivity * np.ones_like(mesh, dtype=model.npfloat) fibers = cardiac_tissue.fibers if fibers is None: message = ""Fibers must be provided for anisotropic diffusion."" raise ValueError(message) weights = np.zeros((*mesh.shape, 9)) d_xx, d_xy = self.compute_half_step_diffusion(mesh, conductivity, fibers, 0) d_yx, d_yy = self.compute_half_step_diffusion(mesh, conductivity, fibers, 1) weights = compute_weights(weights, mesh, d_xx, d_xy, d_yx, d_yy) weights = weights * model.D_model * model.dt / model.dr**2 weights[:, :, 4] += 1 return weights def select_diffusion_kernel(self): """""" Returns the diffusion kernel function for anisotropic diffusion in 2D. Returns ------- function The diffusion kernel function for anisotropic diffusion in 2D. """""" return diffusion_kernel_2d_aniso def compute_half_step_diffusion(self, mesh, conductivity, fibers, axis, num_axes=2): """""" Computes the diffusion components for half-steps based on fiber orientations. Parameters ---------- mesh : np.ndarray Array representing the mesh grid of the tissue. conductivity : np.ndarray Array representing the conductivity of the tissue. fibers : np.ndarray Array representing fiber orientations with shape ``(2, *mesh.shape)``. axis : int Axis index (0 for x, 1 for y). num_axes : int Number of axes. Returns ------- np.ndarray Array of diffusion components for half-steps along the specified axis. Notes ----- The index ``i`` in the returned array corresponds to ``i+1/2`` and ``i-1`` corresponds to ``i-1/2``. """""" D = np.zeros((num_axes, *mesh.shape)) for i in range(num_axes): D[i] = self.compute_diffusion_components(fibers, axis, i, self.D_al, self.D_ac) D[i] = 0.5 * (D[i] * conductivity + np.roll(D[i], -1, axis=axis) * np.roll(conductivity, -1, axis=axis)) return D def compute_diffusion_components(self, fibers, ind0, ind1, D_al, D_ac): """""" Computes the diffusion components based on fiber orientations. Parameters ---------- fibers : np.ndarray Array representing fiber orientations. ind0 : int First axis index (0 for x, 1 for y). ind1 : int Second axis index (0 for x, 1 for y). D_al : float Longitudinal diffusion coefficient. D_ac : float Cross-sectional diffusion coefficient. Returns ------- np.ndarray Array of diffusion components based on fiber orientations """""" return (D_ac * (ind0 == ind1) + (D_al - D_ac) * fibers[..., ind0] * fibers[..., ind1]) @njit(parallel=True) def diffusion_kernel_2d_aniso(u_new, u, w, indexes): """""" Performs anisotropic diffusion on a 2D grid. Parameters ---------- u_new : np.ndarray Array to store the updated potential values after diffusion. u : np.ndarray Array representing the current potential values before diffusion. w : np.ndarray Array of weights used in the diffusion computation. mesh : np.ndarray Array representing the mesh of the tissue. Returns ------- np.ndarray The updated potential values after diffusion. """""" n_i = u.shape[0] n_j = u.shape[1] for ind in prange(len(indexes)): ii = indexes[ind] i = int(ii / n_j) j = ii % n_j u_new[i, j] = (u[i-1, j-1] * w[i, j, 0] + u[i-1, j] * w[i, j, 1] + u[i-1, j+1] * w[i, j, 2] + u[i, j-1] * w[i, j, 3] + u[i, j] * w[i, j, 4] + u[i, j+1] * w[i, j, 5] + u[i+1, j-1] * w[i, j, 6] + u[i+1, j] * w[i, j, 7] + u[i+1, j+1] * w[i, j, 8]) return u_new @njit def minor_component(d, m0, m1, m2, m3, m4, m5): """""" Calculates the minor component for the diffusion current. .. code-block:: text m4 ----- m5 | | | | | | m2 - d - m3 | | | | | | m0 ----- m1 Parameters ---------- d : float Minor diffusion at half-steps. m0 : int Mesh point value at (i-1, j-1). m1 : int Mesh point value at (i-1, j). m2 : int Mesh point value at (i, j-1). m3 : int Mesh point value at (i, j). m4 : int Mesh point value at (i+1, j-1). m5 : int Mesh point value at (i+1, j). Returns ------- tuple Tuple of weights for each of the 6 points. Notes ----- The order of the points assumes m3 is the central point of the stencil. """""" m_higher = m2 + m3 + m4 + m5 m_lower = m0 + m1 + m2 + m3 if m2 == 0 or m3 == 0 or m_higher < 3 or m_lower < 3: return 0, 0, 0, 0, 0, 0 w0 = - d * m0 / m_lower w1 = - d * m1 / m_lower w2 = d * (m2 / m_higher - m2 / m_lower) w3 = d * (m3 / m_higher - m3 / m_lower) w4 = d * m4 / m_higher w5 = d * m5 / m_higher return w0, w1, w2, w3, w4, w5 @njit def major_component(d, m0): """""" Computes the major component for the difussion current. .. code-block:: text x ------ x | | | | m0 - d - m1 | | | | x ------ x Parameters ---------- d : np.ndarray Major diffusion at half-steps. m0 : np.ndarray Mesh point adjacent to the central point. Returns ------- np.ndarray Major component for the diffusion. """""" return d * m0 @njit(parallel=True) def compute_weights(w, m, d_xx, d_xy, d_yx, d_yy): """""" Computes the weights for diffusion on a 2D mesh based on the asymmetric stencil. .. code-block:: text w2 --------------- w5 ---------------- w8 | | | | d_yy_1 | | d_yx_1 | | | | | | | w1 ---- d_xx_0 --- w4 ---- d_xx_1 ---- w7 | d_xy_0 | d_xy_1 | | | | | d_yy_0 | | d_yx_0 | | | | w0 --------------- w3 ---------------- w6 Parameters ---------- w : np.ndarray 3D array to store the weights for diffusion. Shape is (*mesh.shape, 9). m : np.ndarray 2D array representing the mesh grid of the tissue. Non-tissue areas are set to 0. d_xx : np.ndarray Diffusion x component for x direction. d_xy : np.ndarray Diffusion y component for x direction. d_yx : np.ndarray Diffusion x component for y direction. d_yy : np.ndarray Diffusion y component for y direction. Returns ------- np.ndarray 3D array of weights for diffusion, with the shape of (*mesh.shape, 9). """""" n_i = m.shape[0] n_j = m.shape[1] for ii in prange(n_i * n_j): i = int(ii / n_j) j = ii % n_j if m[i, j] != 1: continue # q (i-1/2, j) qx0_major = major_component(d_xx[i-1, j], m[i-1, j]) # (i-1, j) w[i, j, 1] += qx0_major # (i, j) w[i, j, 4] -= qx0_major qx0_minor = minor_component(d_xy[i-1, j], m[i-1, j-1], m[i, j-1], m[i-1, j], m[i, j], m[i-1, j+1], m[i, j+1]) # (i-1, j-1) w[i, j, 0] -= qx0_minor[0] # (i, j-1) w[i, j, 3] -= qx0_minor[1] # (i-1, j) w[i, j, 1] -= qx0_minor[2] # (i, j) w[i, j, 4] -= qx0_minor[3] # (i-1, j+1) w[i, j, 2] -= qx0_minor[4] # (i, j+1) w[i, j, 5] -= qx0_minor[5] # q (i, j-1/2) qy0_major = major_component(d_yy[i, j-1], m[i, j-1]) # (i, j-1) w[i, j, 3] += qy0_major # (i, j) w[i, j, 4] -= qy0_major qy0_minor = minor_component(d_yx[i, j-1], m[i-1, j-1], m[i-1, j], m[i, j-1], m[i, j], m[i+1, j-1], m[i+1, j]) # (i-1, j-1) w[i, j, 0] -= qy0_minor[0] # (i-1, j) w[i, j, 1] -= qy0_minor[1] # (i, j-1) w[i, j, 3] -= qy0_minor[2] # (i, j) w[i, j, 4] -= qy0_minor[3] # (i+1, j-1) w[i, j, 6] -= qy0_minor[4] # (i+1, j) w[i, j, 7] -= qy0_minor[5] # q (i, j+1/2) qy1_major = major_component(d_yy[i, j], m[i, j+1]) # (i, j+1) w[i, j, 5] += qy1_major # (i, j) w[i, j, 4] -= qy1_major qy1_minor = minor_component(d_yx[i, j], m[i-1, j+1], m[i-1, j], m[i, j+1], m[i, j], m[i+1, j+1], m[i+1, j]) # (i-1, j+1) w[i, j, 2] += qy1_minor[0] # (i-1, j) w[i, j, 1] += qy1_minor[1] # (i, j+1) w[i, j, 5] += qy1_minor[2] # (i, j) w[i, j, 4] += qy1_minor[3] # (i+1, j+1) w[i, j, 8] += qy1_minor[4] # (i+1, j) w[i, j, 7] += qy1_minor[5] # q (i+1/2, j) qx1_major = major_component(d_xx[i, j], m[i+1, j]) # (i+1, j) w[i, j, 7] += qx1_major # (i, j) w[i, j, 4] -= qx1_major qx1_minor = minor_component(d_xy[i, j], m[i+1, j-1], m[i, j-1], m[i+1, j], m[i, j], m[i+1, j+1], m[i, j+1]) # (i+1, j-1) w[i, j, 6] += qx1_minor[0] # (i, j-1) w[i, j, 3] += qx1_minor[1] # (i+1, j) w[i, j, 7] += qx1_minor[2] # (i, j) w[i, j, 4] += qx1_minor[3] # (i+1, j+1) w[i, j, 8] += qx1_minor[4] # (i, j+1) w[i, j, 5] += qx1_minor[5] return w ","Python" "Cell biology","finitewave/Finitewave","finitewave/cpuwave2D/stencil/__init__.py",".py","244","3","from finitewave.cpuwave2D.stencil.asymmetric_stencil_2d import AsymmetricStencil2D from finitewave.cpuwave2D.stencil.isotropic_stencil_2d import IsotropicStencil2D from finitewave.cpuwave2D.stencil.symmetric_stencil_2d import SymmetricStencil2D","Python" "Cell biology","finitewave/Finitewave","finitewave/cpuwave2D/stencil/isotropic_stencil_2d.py",".py","5792","205","import numpy as np from numba import njit, prange from finitewave.core.stencil.stencil import Stencil class IsotropicStencil2D(Stencil): """""" This class computes the weights for diffusion on a 2D using an isotropic stencil. The stencil includes 5 points: the central point and the four neighbors. The method assumes weights being used in the following order: - ``w[i, j, 0] : (i-1, j)``, - ``w[i, j, 1] : (i, j-1)``, - ``w[i, j, 2] : (i, j)``, - ``w[i, j, 3] : (i, j+1)``, - ``w[i, j, 4] : (i-1, j)``. Notes ----- The method can handle heterogeneity in the diffusion coefficients given by the ``conductivity`` parameter. """""" def __init__(self): super().__init__() def select_diffusion_kernel(self): """""" Returns the diffusion kernel function for isotropic diffusion in 2D. Returns ------- function The diffusion kernel function for isotropic diffusion in 2D. """""" return diffusion_kernel_2d_iso def compute_weights(self, model, cardiac_tissue): """""" Computes the weights for isotropic diffusion in 2D. Parameters ---------- model : CardiacModel2D A model object containing the simulation parameters. cardiac_tissue : CardiacTissue2D A 2D cardiac tissue object. Returns ------- numpy.ndarray The weights for isotropic diffusion in 2D. """""" mesh = cardiac_tissue.mesh.copy() mesh[mesh != 1] = 0 # make sure the conductivity is a array conductivity = cardiac_tissue.conductivity conductivity = conductivity * np.ones_like(mesh, dtype=model.npfloat) d_xx, d_yy = self.compute_half_step_diffusion(mesh, conductivity) weights = np.zeros((*mesh.shape, 5), dtype=model.npfloat) weights = compute_weights(weights, mesh, d_xx, d_yy) weights = weights * model.D_model * model.dt / model.dr**2 weights[:, :, 2] += 1 return weights def compute_half_step_diffusion(self, mesh, conductivity, num_axes=2): """""" Computes the half-step diffusion values for isotropic diffusion. Parameters ---------- mesh : numpy.ndarray A 2D array representing the mesh of the tissue. conductivity : numpy.ndarray A 2D array representing the conductivity of the tissue. num_axes : int The number of axes to compute the half-step diffusion values. Returns ------- numpy.ndarray The half-step diffusion values for the specified axis. """""" D = np.zeros((num_axes, *mesh.shape)) for i in range(num_axes): D[i] = 0.5 * (conductivity + np.roll(conductivity, -1, axis=i)) return D @njit(parallel=True) def diffusion_kernel_2d_iso(u_new, u, w, indexes): """""" Performs isotropic diffusion on a 2D grid. Parameters ---------- u_new : numpy.ndarray A 2D array to store the updated potential values after diffusion. u : numpy.ndarray A 2D array representing the current potential values before diffusion. w : numpy.ndarray A 3D array of weights used in the diffusion computation. The shape should match (*mesh.shape, 5). mesh : numpy.ndarray A 2D array representing the mesh of the tissue. Returns ------- numpy.ndarray The updated potential values after diffusion. """""" n_i = u.shape[0] n_j = u.shape[1] for ind in prange(len(indexes)): ii = indexes[ind] i = int(ii / n_j) j = ii % n_j u_new[i, j] = (u[i-1, j] * w[i, j, 0] + u[i, j-1] * w[i, j, 1] + u[i, j] * w[i, j, 2] + u[i, j+1] * w[i, j, 3] + u[i+1, j] * w[i, j, 4]) return u_new @njit def compute_component(d, m0, m1): """""" Computes the component for isotropic diffusion in 2D. .. code-block:: text m0 -- d -- x ------ m1 Parameters ---------- d : float The diffusion coefficient. m0 : int The value of the mesh point adjacent to the central point. m1 : int The value of the mesh point opposite to the ``m0`` point. Returns ------- float The computed component for isotropic diffusion in 2D. """""" return d * m0 * (m0 + (m1 == 0)) @njit(parallel=True) def compute_weights(w, m, d_xx, d_yy): """""" Computes the weights for isotropic diffusion in 2D. Parameters ---------- w : numpy.ndarray A 3D array to store the computed weights. m : numpy.ndarray A 2D array representing the mesh of the tissue. d_xx : numpy.ndarray A 2D array representing the half-step diffusion values in the x-axis. d_yy : numpy.ndarray A 2D array representing the half-step diffusion values in the y-axis. Returns ------- numpy.ndarray The computed weights for isotropic diffusion in 2D. """""" n_i = m.shape[0] n_j = m.shape[1] for ii in prange(n_i * n_j): i = int(ii / n_j) j = ii % n_j if m[i, j] != 1: continue # (i-1, j) w[i, j, 0] = compute_component(d_xx[i-1, j], m[i-1, j], m[i+1, j]) # (i, j-1) w[i, j, 1] = compute_component(d_yy[i, j-1], m[i, j-1], m[i, j+1]) # (i, j+1) w[i, j, 3] = compute_component(d_yy[i, j], m[i, j+1], m[i, j-1]) # (i+1, j) w[i, j, 4] = compute_component(d_xx[i, j], m[i+1, j], m[i-1, j]) # (i, j) w[i, j, 2] = - (w[i, j, 0] + w[i, j, 1] + w[i, j, 3] + w[i, j, 4]) return w ","Python" "Cell biology","finitewave/Finitewave","finitewave/cpuwave2D/stencil/symmetric_stencil_2d.py",".py","7500","251","import numpy as np from numba import njit, prange from .asymmetric_stencil_2d import AsymmetricStencil2D class SymmetricStencil2D(AsymmetricStencil2D): """""" A class to represent a 2D symmetric stencil for diffusion processes. The asymmetric stencil is used to handle anisotropic diffusion in the tissue. Notes ----- The method assumes weights being used in the following order: - ``w[0] : i-1, j-1``, - ``w[1] : i-1, j``, - ``w[2] : i-1, j+1``, - ``w[3] : i, j-1``, - ``w[4] : i, j``, - ``w[5] : i, j+1``, - ``w[6] : i+1, j-1``, - ``w[7] : i+1, j``, - ``w[8] : i+1, j+1``. """""" def __init__(self): super().__init__() def compute_weights(self, model, cardiac_tissue): """""" Computes the weights for diffusion on a 2D mesh using the symmetric stencil. Parameters ---------- model : CardiacModel2D A model object containing the simulation parameters. cardiac_tissue : CardiacTissue2D A 2D cardiac tissue object. Returns ------- np.ndarray 3D array of weights for diffusion, with the shape of ``(*mesh.shape, 9)``. """""" mesh = cardiac_tissue.mesh.copy() conductivity = cardiac_tissue.conductivity fibers = cardiac_tissue.fibers if fibers is None: message = ""Fibers must be provided for anisotropic diffusion."" raise ValueError(message) mesh[mesh != 1] = 0 # fibers[np.where(mesh != 1)] = 0 weights = np.zeros((*mesh.shape, 9)) D = self.compute_half_step_diffusion(mesh, conductivity, fibers, self.D_al, self.D_ac) compute_weights(weights, mesh, D[0], D[1], D[2], D[3]) weights *= model.D_model * model.dt / model.dr**2 weights[:, :, 4] += 1 return weights def compute_half_step_diffusion(self, mesh, conductivity, fibers, D_al, D_ac): """""" Computes the diffusion components for half-steps based on fiber orientations. Parameters ---------- mesh : np.ndarray Array representing the mesh grid of the tissue. conductivity : np.ndarray Array representing the conductivity of the tissue. fibers : np.ndarray Array representing fiber orientations with shape ``(2, *mesh.shape)``. D_al : float Longitudinal diffusion coefficient. D_ac : float Cross-sectional diffusion coefficient. axis : int Axis index (0 for x, 1 for y). num_axes : int Number of axes. Returns ------- np.ndarray Array of diffusion components for half-steps along the specified axis. Notes ----- The index ``i`` in the returned array corresponds to ``i+1/2`` and ``i-1`` corresponds to ``i-1/2``. """""" D = np.zeros((4, *mesh.shape)) for i in range(4): ind0 = i // 2 ind1 = i % 2 D[i] = self.compute_diffusion_components(fibers, ind0, ind1, D_al, D_ac) D[i] *= conductivity D[i] = 0.25 * (D[i] + np.roll(D[i], -1, axis=0) + np.roll(D[i], -1, axis=1) + np.roll(np.roll(D[i], -1, axis=0), -1, axis=1)) return D @njit def compute_components(d_xx, d_xy, d_yx, d_yy, m0, m1, m2, m3, qx, qy): """""" .. code-block:: text m1 ---- m3 | | | o | | | m0 ---- m2 dx = 0.5 * (u2 + u3) - 0.5 * (u0 + u1) dy = 0.5 * (u1 + u3) - 0.5 * (u0 + u2) qx = d_xx * dx + d_xy * dy qy = d_yx * dx + d_yy * dy """""" m = m0 + m1 + m2 + m3 if m < 3: return 0, 0, 0, 0 qdx = qx * d_xx + qy * d_yx qdy = qx * d_xy + qy * d_yy w0 = - m0 / (m0 + m1) * qdx - m0 / (m0 + m2) * qdy w1 = - m1 / (m0 + m1) * qdx + m1 / (m1 + m3) * qdy w2 = m2 / (m2 + m3) * qdx - m2 / (m0 + m2) * qdy w3 = m3 / (m2 + m3) * qdx + m3 / (m1 + m3) * qdy return 0.5 * w0, 0.5 * w1, 0.5 * w2, 0.5 * w3 @njit def compute_component_(m0, m1, m2, m3, d_xx, d_xy, d_yx, d_yy, qx, qy, ux, uy): m = m0 * m1 * m2 * m3 w = (qx * (d_xx * ux + d_xy * uy) + qy * (d_yx * ux + d_yy * uy)) * m return 0.25 * w @njit def compute_weights(w, m, d_xx, d_xy, d_yx, d_yy): """""" Computes the weights for diffusion on a 2D mesh based on the asymmetric stencil. Parameters ---------- w : np.ndarray 3D array to store the weights for diffusion. Shape is (*mesh.shape, 9). m : np.ndarray 2D array representing the mesh grid of the tissue. Non-tissue areas are set to 0. d_xx : np.ndarray Diffusion x component for x direction. d_xy : np.ndarray Diffusion y component for x direction. d_yx : np.ndarray Diffusion x component for y direction. d_yy : np.ndarray Diffusion y component for y direction. Returns ------- np.ndarray 3D array of weights for diffusion, with the shape of (*mesh.shape, 9). """""" n_i = m.shape[0] n_j = m.shape[1] for ii in prange(n_i * n_j): i = int(ii / n_j) j = ii % n_j if m[i, j] != 1: continue # (i-1/2, j-1/2) w0, w1, w2, w3 = compute_components(d_xx[i-1, j-1], d_xy[i-1, j-1], d_yx[i-1, j-1], d_yy[i-1, j-1], m[i-1, j-1], m[i-1, j], m[i, j-1], m[i, j], -1, -1) # (i-1, j-1) w[i, j, 0] += w0 # (i-1, j) w[i, j, 1] += w1 # (i, j-1) w[i, j, 3] += w2 # (i, j) w[i, j, 4] += w3 # (i-1/2, j+1/2) w0, w1, w2, w3 = compute_components(d_xx[i-1, j], d_xy[i-1, j], d_yx[i-1, j], d_yy[i-1, j], m[i-1, j], m[i-1, j+1], m[i, j], m[i, j+1], -1, 1) # (i-1, j) w[i, j, 1] += w0 # (i-1, j+1) w[i, j, 2] += w1 # (i, j) w[i, j, 4] += w2 # (i, j+1) w[i, j, 5] += w3 # (i+1/2, j-1/2) w0, w1, w2, w3 = compute_components(d_xx[i, j-1], d_xy[i, j-1], d_yx[i, j-1], d_yy[i, j-1], m[i, j-1], m[i, j], m[i+1, j-1], m[i+1, j], 1, -1) # (i, j-1) w[i, j, 3] += w0 # (i, j) w[i, j, 4] += w1 # (i+1, j-1) w[i, j, 6] += w2 # (i+1, j) w[i, j, 7] += w3 # (i+1/2, j+1/2) w0, w1, w2, w3 = compute_components(d_xx[i, j], d_xy[i, j], d_yx[i, j], d_yy[i, j], m[i, j], m[i, j+1], m[i+1, j], m[i+1, j+1], 1, 1) # (i, j) w[i, j, 4] += w0 # (i, j+1) w[i, j, 5] += w1 # (i+1, j) w[i, j, 7] += w2 # (i+1, j+1) w[i, j, 8] += w3 return w ","Python" "Cell biology","finitewave/Finitewave","finitewave/cpuwave2D/fibrosis/structural_2d_pattern.py",".py","4138","117","import numpy as np import random from finitewave.core.fibrosis.fibrosis_pattern import FibrosisPattern class Structural2DPattern(FibrosisPattern): """""" Class for generating a structural fibrosis pattern in a 2D mesh. The pattern consists of rectangular blocks distributed throughout a specified region of the mesh, with the density controlling the likelihood of each block being present. Attributes ---------- x1 : int The starting x-coordinate of the area where blocks can be placed. x2 : int The ending x-coordinate of the area where blocks can be placed. y1 : int The starting y-coordinate of the area where blocks can be placed. y2 : int The ending y-coordinate of the area where blocks can be placed. density : float The density of the fibrosis blocks, represented as a probability. length_i : int The width of each block. length_j : int The height of each block. """""" def __init__(self, density, length_i, length_j, x1, x2, y1, y2): """""" Initializes the Structural2DPattern with the specified parameters. Parameters ---------- x1 : int The starting x-coordinate of the area where blocks can be placed. x2 : int The ending x-coordinate of the area where blocks can be placed. y1 : int The starting y-coordinate of the area where blocks can be placed. y2 : int The ending y-coordinate of the area where blocks can be placed. density : float The density of the fibrosis blocks, represented as a probability. length_i : int The width of each block. length_j : int The height of each block. """""" self.x1 = x1 self.x2 = x2 self.y1 = y1 self.y2 = y2 self.density = density self.length_i = length_i self.length_j = length_j def generate(self, shape=None, mesh=None): """""" Generates and applies a structural fibrosis pattern to the mesh. The mesh is divided into blocks of size `length_i` by `length_j`, with each block having a probability `density` of being filled with fibrosis. The function ensures that blocks do not extend beyond the specified region. Parameters ---------- shape : tuple The shape of the mesh. mesh : numpy.ndarray, optional The existing mesh to base the pattern on. Default is None.. Returns ------- numpy.ndarray A new mesh array with the applied fibrosis pattern. """""" if shape is None and mesh is None: message = ""Either shape or mesh must be provided."" raise ValueError(message) if shape is not None: mesh = np.ones(shape, dtype=np.int8) fibr = self._generate(mesh.shape) mesh[self.x1: self.x2, self.y1: self.y2] = fibr[self.x1: self.x2, self.y1: self.y2] return mesh fibr = self._generate(mesh.shape) mesh[self.x1: self.x2, self.y1: self.y2] = fibr[self.x1: self.x2, self.y1: self.y2] return mesh def _generate(self, shape): mesh = np.ones(shape, dtype=np.int8) for i in range(self.x1, self.x2, self.length_i): for j in range(self.y1, self.y2, self.length_j): if random.random() <= self.density: i_s = 0 j_s = 0 if i + self.length_i <= self.x2: i_s = self.length_i else: i_s = self.length_i - (i + self.length_i - self.x2) if j + self.length_j <= self.y2: j_s = self.length_j else: j_s = self.length_j - (j + self.length_j - self.y2) mesh[i:i + i_s, j:j + j_s] = 2 # fibrosis element return mesh ","Python" "Cell biology","finitewave/Finitewave","finitewave/cpuwave2D/fibrosis/__init__.py",".py","104","3","from .diffuse_2d_pattern import Diffuse2DPattern from .structural_2d_pattern import Structural2DPattern ","Python" "Cell biology","finitewave/Finitewave","finitewave/cpuwave2D/fibrosis/diffuse_2d_pattern.py",".py","2757","88","import numpy as np from finitewave.core.fibrosis.fibrosis_pattern import FibrosisPattern class Diffuse2DPattern(FibrosisPattern): """""" Class for generating a diffuse 2D fibrosis pattern in a given mesh area. Attributes ---------- density : float The density of the fibrosis in the specified area x1 : int The starting x-coordinate of the fibrosis area. x2 : int The ending x-coordinate of the fibrosis area. y1 : int The starting y-coordinate of the fibrosis area. y2 : int The ending y-coordinate of the fibrosis area. """""" def __init__(self, density, x1=None, x2=None, y1=None, y2=None): """""" Initializes the Diffuse2DPattern with the specified parameters. Parameters ---------- density : float The density of the fibrosis in the specified area. x1 : int The starting x-coordinate of the fibrosis area. x2 : int The ending x-coordinate of the fibrosis area. y1 : int The starting y-coordinate of the fibrosis area. y2 : int The ending y-coordinate of the fibrosis area. """""" self.x1 = x1 self.x2 = x2 self.y1 = y1 self.y2 = y2 self.density = density def generate(self, shape=None, mesh=None): """""" Generates a diffuse 2D fibrosis pattern for the given shape and mesh. The resulting pattern is applied to the mesh within the specified area. Parameters ---------- shape : tuple The shape of the mesh. mesh : numpy.ndarray, optional The existing mesh to base the pattern on. Default is None. Returns ------- numpy.ndarray A new mesh array with the applied fibrosis pattern. Notes ----- If both parameters are provided, first non-None parameter is used. """""" if shape is None and mesh is None: message = ""Either shape or mesh must be provided."" raise ValueError(message) if shape is not None: mesh = np.ones(shape, dtype=np.int8) fibr = self._generate(mesh.shape) mesh[self.x1: self.x2, self.y1: self.y2] = fibr[self.x1: self.x2, self.y1: self.y2] return mesh fibr = self._generate(mesh.shape) mesh[self.x1: self.x2, self.y1: self.y2] = fibr[self.x1: self.x2, self.y1: self.y2] return mesh def _generate(self, shape): return 1 + (np.random.random(shape) <= self.density).astype(np.int8) ","Python" "Cell biology","finitewave/Finitewave","finitewave/cpuwave2D/tissue/__init__.py",".py","73","1","from finitewave.cpuwave2D.tissue.cardiac_tissue_2d import CardiacTissue2D","Python" "Cell biology","finitewave/Finitewave","finitewave/cpuwave2D/tissue/cardiac_tissue_2d.py",".py","1435","46","import numpy as np from finitewave.core.tissue.cardiac_tissue import CardiacTissue class CardiacTissue2D(CardiacTissue): """""" This class represents a 2D cardiac tissue. Attributes ---------- meta : dict A dictionary containing metadata about the tissue. mesh : np.ndarray A 2D numpy array representing the tissue mesh where each value indicates the type of tissue at that location. Possible values are: ``0`` for non-tissue, ``1`` for healthy tissue, and ``2`` for fibrotic tissue. conductivity : float or np.ndarray The conductivity of the tissue used for reducing the diffusion coefficients. The conductivity should be in the range [0, 1]. fibers : np.ndarray Fibers orientation in the tissue. If None, the isotropic stencil is used. """""" def __init__(self, shape): super().__init__() self.meta[""dim""] = 2 self.meta[""shape""] = shape self.mesh = np.ones(shape, dtype=np.int8) self.conductivity = 1.0 self.fibers = None def add_boundaries(self): """""" Sets the boundary values of the mesh to zero. The boundaries are defined as the edges of the grid, and this method updates these edges in the mesh array. """""" self._mesh[0, :] = 0 self._mesh[:, 0] = 0 self._mesh[-1, :] = 0 self._mesh[:, -1] = 0 ","Python" "Cell biology","finitewave/Finitewave","finitewave/cpuwave3D/__init__.py",".py","643","27","from finitewave.cpuwave3D.fibrosis import Diffuse3DPattern, Structural3DPattern from finitewave.cpuwave3D.model import ( AlievPanfilov3D, Barkley3D, MitchellSchaeffer3D, FentonKarma3D, BuenoOrovio3D, LuoRudy913D, TP063D, Courtemanche3D, ) from finitewave.cpuwave3D.stencil import ( AsymmetricStencil3D, IsotropicStencil3D ) from finitewave.cpuwave3D.stimulation import ( StimCurrentCoord3D, StimVoltageCoord3D, StimCurrentMatrix3D, StimVoltageMatrix3D, StimVoltageListMatrix3D, StimCurrentArea3D, ) from finitewave.cpuwave3D.tissue import CardiacTissue3D from .tracker import * ","Python" "Cell biology","finitewave/Finitewave","finitewave/cpuwave3D/model/luo_rudy91_3d.py",".py","4033","133","import numpy as np from numba import njit, prange from finitewave.cpuwave2D.model.luo_rudy91_2d import ( LuoRudy912D, calc_ina, calc_isk, calc_ik, calc_ik1, calc_ikp, calc_ib ) from finitewave.cpuwave3D.stencil.isotropic_stencil_3d import ( IsotropicStencil3D ) from finitewave.cpuwave3D.stencil.asymmetric_stencil_3d import ( AsymmetricStencil3D ) class LuoRudy913D(LuoRudy912D): """""" Implements the 3D Luo-Rudy 1991 cardiac model. See LuoRudy912D for the 2D model description. """""" def __init__(self): super().__init__() def run_ionic_kernel(self): """""" Executes the ionic kernel to update the state variables and membrane potential. """""" ionic_kernel_3d(self.u_new, self.u, self.m, self.h, self.j, self.d, self.f, self.x, self.cai, self.cardiac_tissue.myo_indexes, self.dt, self.gna, self.gsi, self.gk, self.gk1, self.gkp, self.gb, self.ko, self.ki, self.nai, self.nao, self.cao, self.R, self.T, self.F, self.PR_NaK) def select_stencil(self, cardiac_tissue): """""" Selects the appropriate stencil for diffusion based on the tissue properties. If the tissue has fiber directions, an asymmetric stencil is used; otherwise, an isotropic stencil is used. Parameters ---------- cardiac_tissue : CardiacTissue2D A tissue object representing the cardiac tissue. Returns ------- Stencil The stencil object to use for diffusion computations. """""" if cardiac_tissue.fibers is None: return IsotropicStencil3D() return AsymmetricStencil3D() @njit(parallel=True) def ionic_kernel_3d(u_new, u, m, h, j_, d, f, x, cai, indexes, dt, gna, gsi, gk, gk1, gkp, gb, ko, ki, nai, nao, cao, R, T, F, PR_NaK): """""" Computes the ionic currents and updates the state variables in the 3D Luo-Rudy 1991 cardiac model. Parameters ---------- u_new : np.ndarray Array to store the updated membrane potential. u : np.ndarray Array of the current membrane potential values. m : np.ndarray Array for the gating variable `m`. h : np.ndarray Array for the gating variable `h`. j_ : np.ndarray Array for the gating variable `j`. d : np.ndarray Array for the gating variable `d`. f : np.ndarray Array for the gating variable `f`. x : np.ndarray Array for the gating variable `x`. Cai_c : np.ndarray Array for the intracellular calcium concentration. mesh : np.ndarray Mesh array indicating the tissue types. dt : float Time step for the simulation. """""" E_Na = (R*T/F)*np.log(nao/nai) n_j = u.shape[1] n_k = u.shape[2] for ind in prange(len(indexes)): ii = indexes[ind] i = ii//(n_j*n_k) j = (ii % (n_j*n_k))//n_k k = (ii % (n_j*n_k)) % n_k # Fast sodium current: ina, m[i, j, k], h[i, j, k], j_[i, j, k] = calc_ina(u[i, j, k], dt, m[i, j, k], h[i, j, k], j_[i, j, k], E_Na, gna) # Slow inward current: isi, d[i, j, k], f[i, j, k], cai[i, j, k] = calc_isk(u[i, j, k], dt, d[i, j, k], f[i, j, k], cai[i, j, k], gsi) # Time-dependent potassium current: ik, x[i, j, k] = calc_ik(u[i, j, k], dt, x[i, j, k], ko, ki, nao, nai, PR_NaK, R, T, F, gk) E_K1 = (R * T / F) * np.log(ko / ki) # Time-independent potassium current: ik1 = calc_ik1(u[i, j, k], ko, E_K1, gk1) # Plateau potassium current: ikp = calc_ikp(u[i, j, k], E_K1, gkp) # Background current: ib = calc_ib(u[i, j, k], gb) # Total time-independent potassium current: ik1t = ik1 + ikp + ib # if i == 4 and j == 4: # print(cai[i, j], m[i, j]) u_new[i, j, k] -= dt * (ina + isi + ik1t + ik) ","Python" "Cell biology","finitewave/Finitewave","finitewave/cpuwave3D/model/aliev_panfilov_3d.py",".py","2465","86","from numba import njit, prange from finitewave.cpuwave2D.model.aliev_panfilov_2d import AlievPanfilov2D, calc_v from finitewave.cpuwave3D.stencil.isotropic_stencil_3d import ( IsotropicStencil3D ) from finitewave.cpuwave3D.stencil.asymmetric_stencil_3d import ( AsymmetricStencil3D ) class AlievPanfilov3D(AlievPanfilov2D): """""" Implementation of the Aliev-Panfilov 3D cardiac model. See AlievPanfilov2D for the 2D model description. """""" def __init__(self): super().__init__() def run_ionic_kernel(self): """""" Executes the ionic kernel for the Aliev-Panfilov model. """""" ionic_kernel_3d(self.u_new, self.u, self.v, self.cardiac_tissue.myo_indexes, self.dt, self.a, self.k, self.eap, self.mu_1, self.mu_2) def select_stencil(self, cardiac_tissue): """""" Selects the appropriate stencil for diffusion based on the tissue properties. If the tissue has fiber directions, an asymmetric stencil is used; otherwise, an isotropic stencil is used. Parameters ---------- cardiac_tissue : CardiacTissue3D A 3D cardiac tissue object. Returns ------- Stencil The stencil object to be used for diffusion computations. """""" if cardiac_tissue.fibers is None: return IsotropicStencil3D() return AsymmetricStencil3D() @njit(parallel=True) def ionic_kernel_3d(u_new, u, v, indexes, dt, a, k, eap, mu_1, mu_2): """""" Computes the ionic kernel for the Aliev-Panfilov 3D model. Parameters ---------- u_new : np.ndarray Array to store the updated action potential values. u : np.ndarray Current action potential array. v : np.ndarray Recovery variable array. dt : float Time step for the simulation. indexes : np.ndarray Array of indices where the kernel should be computed (``mesh == 1``). """""" n_j = u.shape[1] n_k = u.shape[2] for ni in prange(len(indexes)): ii = indexes[ni] i = ii//(n_j*n_k) j = (ii % (n_j*n_k))//n_k k_ = (ii % (n_j*n_k)) % n_k v[i, j, k_] = calc_v(v[i, j, k_], u[i, j, k_], dt, a, k, eap, mu_1, mu_2) u_new[i, j, k_] += dt * (- k * u[i, j, k_] * (u[i, j, k_] - a) * (u[i, j, k_] - 1.) - u[i, j, k_] * v[i, j, k_]) ","Python" "Cell biology","finitewave/Finitewave","finitewave/cpuwave3D/model/bueno_orovio_3d.py",".py","4114","123","from numba import njit, prange from finitewave.cpuwave2D.model.bueno_orovio_2d import ( BuenoOrovio2D, calc_Jfi, calc_Jsi, calc_Jso, calc_tau_v_m, calc_tau_w_m, calc_tau_so, calc_tau_s, calc_tau_o, calc_v_inf, calc_w_inf, calc_v, calc_w, calc_s ) from finitewave.cpuwave3D.stencil.isotropic_stencil_3d import ( IsotropicStencil3D ) from finitewave.cpuwave3D.stencil.asymmetric_stencil_3d import ( AsymmetricStencil3D ) class BuenoOrovio3D(BuenoOrovio2D): """""" Implementation of the Bueno-Orovio 3D cardiac model. See BuenoOrovio2D for the 2D model description. """""" def __init__(self): super().__init__() def run_ionic_kernel(self): """""" Executes the ionic kernel for the Bueno-Orovio model. """""" ionic_kernel_3d(self.u_new, self.u, self.v, self.w, self.s, self.cardiac_tissue.myo_indexes, self.dt, self.u_o, self.u_u, self.theta_v, self.theta_w, self.theta_v_m, self.theta_o, self.tau_v1_m, self.tau_v2_m, self.tau_v_p, self.tau_w1_m, self.tau_w2_m, self.k_w_m, self.u_w_m, self.tau_w_p, self.tau_fi, self.tau_o1, self.tau_o2, self.tau_so1, self.tau_so2, self.k_so, self.u_so, self.tau_s1, self.tau_s2, self.k_s, self.u_s, self.tau_si, self.tau_w_inf, self.w_inf_) def select_stencil(self, cardiac_tissue): """""" Selects the appropriate stencil for diffusion based on the tissue properties. If the tissue has fiber directions, an asymmetric stencil is used; otherwise, an isotropic stencil is used. Parameters ---------- cardiac_tissue : CardiacTissue3D A 3D cardiac tissue object. Returns ------- Stencil The stencil object to be used for diffusion computations. """""" if cardiac_tissue.fibers is None: return IsotropicStencil3D() return AsymmetricStencil3D() @njit(parallel=True) def ionic_kernel_3d(u_new, u, v, w, s, indexes, dt, u_o, u_u, theta_v, theta_w, theta_v_m, theta_o, tau_v1_m, tau_v2_m, tau_v_p, tau_w1_m, tau_w2_m, k_w_m, u_w_m, tau_w_p, tau_fi, tau_o1, tau_o2, tau_so1, tau_so2, k_so, u_so, tau_s1, tau_s2, k_s, u_s, tau_si, tau_w_inf, w_inf_): """""" Computes the ionic kernel for the Bueno-Orovio 3D model. Parameters ---------- u_new : ndarray The new state of the u variable. u : ndarray The current state of the u variable. myo_indexes : list List of indexes representing myocardial cells. dt : float The time step for the simulation. """""" n_j = u.shape[1] n_k = u.shape[2] for ni in prange(len(indexes)): ii = indexes[ni] i = ii//(n_j*n_k) j = (ii % (n_j*n_k))//n_k k = (ii % (n_j*n_k)) % n_k v[i, j, k] = calc_v(v[i, j, k] , u[i, j, k] , dt, theta_v, calc_v_inf(u[i, j, k] , theta_v_m), calc_tau_v_m(u[i, j, k] , theta_v_m, tau_v1_m, tau_v2_m), tau_v_p) w[i, j, k] = calc_w(w[i, j, k] , u[i, j, k] , dt, theta_w, calc_w_inf(u[i, j, k] , theta_o, tau_w_inf, w_inf_), calc_tau_w_m(u[i, j, k] , tau_w1_m, tau_w2_m, k_w_m, u_w_m), tau_w_p) s[i, j, k] = calc_s(s[i, j, k] , u[i, j, k] , dt, calc_tau_s(u[i, j, k] , tau_s1, tau_s2, theta_w), k_s, u_s) J_fi = calc_Jfi(u[i, j, k] , v[i, j, k] , theta_v, u_u, tau_fi) J_so = calc_Jso(u[i, j, k] , u_o, theta_w, calc_tau_o(u[i, j, k] , tau_o1, tau_o2, theta_o), calc_tau_so(u[i, j, k] , tau_so1, tau_so2, k_so, u_so)) J_si = calc_Jsi(u[i, j, k] , w[i, j, k] , s[i, j, k] , theta_w, tau_si) u_new[i, j, k] += dt * (-J_fi - J_so - J_si) ","Python" "Cell biology","finitewave/Finitewave","finitewave/cpuwave3D/model/mitchell_schaeffer_3d.py",".py","2753","97","from numba import njit, prange from finitewave.cpuwave2D.model.mitchell_schaeffer_2d import ( MitchellSchaeffer2D, calc_h, calc_J_in, calc_J_out ) from finitewave.cpuwave3D.stencil.isotropic_stencil_3d import ( IsotropicStencil3D ) from finitewave.cpuwave3D.stencil.asymmetric_stencil_3d import ( AsymmetricStencil3D ) class MitchellSchaeffer3D(MitchellSchaeffer2D): """""" Implementation of the Mitchell-Schaeffer 3D cardiac model. See MitchellSchaeffer2D for the 2D model description. """""" def __init__(self): super().__init__() def run_ionic_kernel(self): """""" Executes the ionic kernel for the Mitchell-Schaeffer model. """""" ionic_kernel_3d(self.u_new, self.u, self.h, self.cardiac_tissue.myo_indexes, self.dt, self.tau_close, self.tau_open, self.tau_in, self.tau_out, self.u_gate) def select_stencil(self, cardiac_tissue): """""" Selects the appropriate stencil for diffusion based on the tissue properties. If the tissue has fiber directions, an asymmetric stencil is used; otherwise, an isotropic stencil is used. Parameters ---------- cardiac_tissue : CardiacTissue3D A 3D cardiac tissue object. Returns ------- Stencil The stencil object to be used for diffusion computations. """""" if cardiac_tissue.fibers is None: return IsotropicStencil3D() return AsymmetricStencil3D() @njit(parallel=True) def ionic_kernel_3d(u_new, u, h, indexes, dt, tau_close, tau_open, tau_in, tau_out, u_gate): """""" Computes the ionic kernel for the Mitchell-Schaeffer 3D model. Parameters ---------- u_new : ndarray The new state of the u variable. u : ndarray The current state of the u variable. h : ndarray The gating variable h. myo_indexes : list List of indexes representing myocardial cells. dt : float The time step for the simulation. tau_close : float The time constant for the closing of the h gate. tau_open : float The time constant for the opening of the h gate. u_gate : float The threshold value for the gating variable. """""" n_j = u.shape[1] n_k = u.shape[2] for ni in prange(len(indexes)): ii = indexes[ni] i = ii//(n_j*n_k) j = (ii % (n_j*n_k))//n_k k = (ii % (n_j*n_k)) % n_k h[i, j, k] = calc_h(h[i, j, k], u[i, j, k], dt, tau_close, tau_open, u_gate) J_in = calc_J_in(h[i, j, k], u[i, j, k], tau_in) J_out = calc_J_out(u[i, j, k], tau_out) u_new[i, j, k] += dt * (J_in + J_out) ","Python" "Cell biology","finitewave/Finitewave","finitewave/cpuwave3D/model/__init__.py",".py","333","9","from .aliev_panfilov_3d import AlievPanfilov3D from .barkley_3d import Barkley3D from .mitchell_schaeffer_3d import MitchellSchaeffer3D from .fenton_karma_3d import FentonKarma3D from .bueno_orovio_3d import BuenoOrovio3D from .luo_rudy91_3d import LuoRudy913D from .tp06_3d import TP063D from .courtemanche_3d import Courtemanche3D ","Python" "Cell biology","finitewave/Finitewave","finitewave/cpuwave3D/model/tp06_3d.py",".py","8415","205","import numpy as np from numba import njit, prange from finitewave.cpuwave2D.model.tp06_2d import ( TP062D, calc_ina, calc_ical, calc_ito, calc_ikr, calc_iks, calc_ik1, calc_inaca, calc_inak, calc_ipca, calc_ipk, calc_ibna, calc_ibca, calc_irel, calc_ileak, calc_iup, calc_ixfer, calc_casr, calc_cass, calc_cai, calc_nai, calc_ki ) from finitewave.cpuwave3D.stencil.isotropic_stencil_3d import ( IsotropicStencil3D ) from finitewave.cpuwave3D.stencil.asymmetric_stencil_3d import ( AsymmetricStencil3D ) class TP063D(TP062D): """""" A class to represent the TP06 cardiac model in 3D. See TP062D for the 2D model description. """""" def __init__(self): super().__init__() def run_ionic_kernel(self): """""" Executes the ionic kernel function to update ionic currents and state variables. """""" ionic_kernel_3d(self.u_new, self.u, self.cai, self.casr, self.cass, self.nai, self.Ki, self.m, self.h, self.j, self.xr1, self.xr2, self.xs, self.r, self.s, self.d, self.f, self.f2, self.fcass, self.rr, self.oo, self.cardiac_tissue.myo_indexes, self.dt, self.ko, self.cao, self.nao, self.Vc, self.Vsr, self.Vss, self.Bufc, self.Kbufc, self.Bufsr, self.Kbufsr, self.Bufss, self.Kbufss, self.Vmaxup, self.Kup, self.Vrel, self.k1_, self.k2_, self.k3, self.k4, self.EC, self.maxsr, self.minsr, self.Vleak, self.Vxfer, self.R, self.F, self.T, self.RTONF, self.CAPACITANCE, self.gkr, self.pKNa, self.gk1, self.gna, self.gbna, self.KmK, self.KmNa, self.knak, self.gcal, self.gbca, self.knaca, self.KmNai, self.KmCa, self.ksat, self.n_, self.gpca, self.KpCa, self.gpk, self.gto, self.gks) def select_stencil(self, cardiac_tissue): """""" Selects the appropriate stencil for diffusion based on the tissue properties. If the tissue has fiber directions, an asymmetric stencil is used; otherwise, an isotropic stencil is used. Parameters ---------- cardiac_tissue : CardiacTissue2D A tissue object representing the cardiac tissue. Returns ------- Stencil The stencil object to use for diffusion computations. """""" if cardiac_tissue.fibers is None: return IsotropicStencil3D() return AsymmetricStencil3D() # tp06 epi kernel @njit(parallel=True) def ionic_kernel_3d(u_new, u, cai, casr, cass, nai, Ki, m, h, j_, xr1, xr2, xs, r, s, d, f, f2, fcass, rr, oo, indexes, dt, ko, cao, nao, Vc, Vsr, Vss, Bufc, Kbufc, Bufsr, Kbufsr, Bufss, Kbufss, Vmaxup, Kup, Vrel, k1_, k2_, k3, k4, EC, maxsr, minsr, Vleak, Vxfer, R, F, T, RTONF, CAPACITANCE, gkr, pKNa, gk1, gna, gbna, KmK, KmNa, knak, gcal, gbca, knaca, KmNai, KmCa, ksat, n_, gpca, KpCa, gpk, gto, gks): """""" Compute the ionic currents and update the state variables for the 3D TP06 cardiac model. This function calculates the ionic currents based on the TP06 cardiac model, updates ion concentrations, and modifies gating variables in the 3D grid. The calculations are performed in parallel to enhance performance. Parameters ---------- u_new : numpy.ndarray Array to store the updated membrane potential values. u : numpy.ndarray Array of current membrane potential values. cai : numpy.ndarray Array of calcium concentration in the cytosol. casr : numpy.ndarray Array of calcium concentration in the sarcoplasmic reticulum. cass : numpy.ndarray Array of calcium concentration in the submembrane space. nai : numpy.ndarray Array of sodium ion concentration in the intracellular space. ki : numpy.ndarray Array of potassium ion concentration in the intracellular space. m : numpy.ndarray Array of gating variable for sodium channels (activation). h : numpy.ndarray Array of gating variable for sodium channels (inactivation). j_ : numpy.ndarray Array of gating variable for sodium channels (inactivation). xr1 : numpy.ndarray Array of gating variable for rapid delayed rectifier potassium channels. xr2 : numpy.ndarray Array of gating variable for rapid delayed rectifier potassium channels. xs : numpy.ndarray Array of gating variable for slow delayed rectifier potassium channels. r : numpy.ndarray Array of gating variable for ryanodine receptors. s : numpy.ndarray Array of gating variable for calcium-sensitive current. d : numpy.ndarray Array of gating variable for L-type calcium channels. f : numpy.ndarray Array of gating variable for calcium-dependent calcium channels. f2 : numpy.ndarray Array of secondary gating variable for calcium-dependent calcium channels. fcass : numpy.ndarray Array of gating variable for calcium-sensitive current. rr : numpy.ndarray Array of ryanodine receptor gating variable for calcium release. oo : numpy.ndarray Array of ryanodine receptor gating variable for calcium release. indexes : numpy.ndarray Array of indices where the kernel should be computed (``mesh == 1``). dt : float Time step for the simulation. Returns ------- None The function updates the state variables in place. No return value is produced. """""" n_j = u.shape[1] n_k = u.shape[2] inverseVcF2 = 1./(2*Vc*F) inverseVcF = 1./(Vc*F) inversevssF2 = 1./(2*Vss*F) for ind in prange(len(indexes)): ii = indexes[ind] i = ii//(n_j*n_k) j = (ii % (n_j*n_k))//n_k k = (ii % (n_j*n_k)) % n_k Ek = RTONF*(np.log((ko/Ki[i, j, k]))) Ena = RTONF*(np.log((nao/nai[i, j, k]))) Eks = RTONF*(np.log((ko+pKNa*nao)/(Ki[i, j, k]+pKNa*nai[i, j, k]))) Eca = 0.5*RTONF*(np.log((cao/cai[i, j, k]))) # Compute currents ina, m[i, j, k], h[i, j, k], j_[i, j, k] = calc_ina(u[i, j, k], dt, m[i, j, k], h[i, j, k], j_[i, j, k], gna, Ena) ical, d[i, j, k], f[i, j, k], f2[i, j, k], fcass[i, j, k] = calc_ical(u[i, j, k], dt, d[i, j, k], f[i, j, k], f2[i, j, k], fcass[i, j, k], cao, cass[i, j, k], gcal, F, R, T) ito, r[i, j, k], s[i, j, k] = calc_ito(u[i, j, k], dt, r[i, j, k], s[i, j, k], Ek, gto) ikr, xr1[i, j, k], xr2[i, j, k] = calc_ikr(u[i, j, k], dt, xr1[i, j, k], xr2[i, j, k], Ek, gkr, ko) iks, xs[i, j, k] = calc_iks(u[i, j, k], dt, xs[i, j, k], Eks, gks) ik1 = calc_ik1(u[i, j, k], Ek, gk1) inaca = calc_inaca(u[i, j, k], nao, nai[i, j, k], cao, cai[i, j, k], KmNai, KmCa, knaca, ksat, n_, F, R, T) inak = calc_inak(u[i, j, k], nai[i, j, k], ko, KmK, KmNa, knak, F, R, T) ipca = calc_ipca(cai[i, j, k], KpCa, gpca) ipk = calc_ipk(u[i, j, k], Ek, gpk) ibna = calc_ibna(u[i, j, k], Ena, gbna) ibca = calc_ibca(u[i, j, k], Eca, gbca) irel, rr[i, j, k], oo[i, j, k] = calc_irel(dt, rr[i, j, k], oo[i, j, k], casr[i, j, k], cass[i, j, k], Vrel, k1_, k2_, k3, k4, maxsr, minsr, EC) ileak = calc_ileak(casr[i, j, k], cai[i, j, k], Vleak) iup = calc_iup(cai[i, j, k], Vmaxup, Kup) ixfer = calc_ixfer(cass[i, j, k], cai[i, j, k], Vxfer) # Compute concentrations casr[i, j, k] = calc_casr(dt, casr[i, j, k], Bufsr, Kbufsr, iup, irel, ileak) cass[i, j, k] = calc_cass(dt, cass[i, j, k], Bufss, Kbufss, ixfer, irel, ical, CAPACITANCE, Vc, Vss, Vsr, inversevssF2) cai[i, j, k], cai[i, j, k] = calc_cai(dt, cai[i, j, k], Bufc, Kbufc, ibca, ipca, inaca, iup, ileak, ixfer, CAPACITANCE, Vsr, Vc, inverseVcF2) nai[i, j, k] += calc_nai(dt, ina, ibna, inak, inaca, CAPACITANCE, inverseVcF) Ki[i, j, k] += calc_ki(dt, ik1, ito, ikr, iks, inak, ipk, inverseVcF, CAPACITANCE) # Update membrane potential u_new[i, j, k] -= dt * (ikr + iks + ik1 + ito + ina + ibna + ical + ibca + inak + inaca + ipca + ipk) ","Python" "Cell biology","finitewave/Finitewave","finitewave/cpuwave3D/model/courtemanche_3d.py",".py","6228","164","import numpy as np from numba import njit, prange from finitewave.cpuwave2D.model.courtemanche_2d import ( Courtemanche2D, calc_ina, calc_ik1, calc_ito, calc_ikr, calc_iks, calc_ikur, calc_ical, calc_inak, calc_inaca, calc_ibca, calc_ibna, calc_ipca, calc_irel, calc_iupleak, calc_iup, calc_itr, calc_caup, calc_nai, calc_ki, calc_cai, calc_carel, calc_gating_m, calc_gating_h, calc_gating_j, calc_equilibrum_potentials ) from finitewave.cpuwave3D.stencil.isotropic_stencil_3d import ( IsotropicStencil3D ) from finitewave.cpuwave3D.stencil.asymmetric_stencil_3d import ( AsymmetricStencil3D ) class Courtemanche3D(Courtemanche2D): """""" A class to represent the Courtemanche cardiac model in 3D. See Courtemanche2D for the 2D model description. """""" def __init__(self): super().__init__() def run_ionic_kernel(self): """""" Executes the ionic kernel function to update ionic currents and state variables. """""" ionic_kernel_3d(self.u_new, self.u, self.nai, self.ki, self.cai, self.caup, self.carel, self.m, self.h, self.j_, self.d, self.f, self.oa, self.oi, self.ua, self.ui, self.xr, self.xs, self.fca, self.irel, self.vrel, self.urel, self.wrel, self.cardiac_tissue.myo_indexes, self.dt, self.gna, self.gnab, self.gk1, self.gkr, self.gks, self.gto, self.gcal, self.gcab, self.gkur_coeff, self.F, self.T, self.R, self.Vc, self.Vj, self.Vup, self.Vrel, self.ibk, self.cao, self.nao, self.ko, self.caupmax, self.kup, self.kmnai, self.kmko, self.kmnancx, self.kmcancx, self.ksatncx, self.kmcmdn, self.kmtrpn, self.kmcsqn, self.trpnmax, self.cmdnmax, self.csqnmax, self.inacamax, self.inakmax, self.ipcamax, self.krel, self.iupmax, self.kq10) def select_stencil(self, cardiac_tissue): """""" Selects the appropriate stencil for diffusion based on the tissue properties. If the tissue has fiber directions, an asymmetric stencil is used; otherwise, an isotropic stencil is used. Parameters ---------- cardiac_tissue : CardiacTissue2D A tissue object representing the cardiac tissue. Returns ------- Stencil The stencil object to use for diffusion computations. """""" if cardiac_tissue.fibers is None: return IsotropicStencil3D() return AsymmetricStencil3D() @njit(parallel=True) def ionic_kernel_3d(u_new, u, nai, ki, cai, caup, carel, m, h, j_, d, f, oa, oi, ua, ui, xs, xr, fca, irel, vrel, urel, wrel, indexes, dt, gna, gnab, gk1, gkr, gks, gto, gcal, gcab, gkur_coeff, F, T, R, Vc, Vj, Vup, Vrel, ibk, cao, nao, ko, caupmax, kup, kmnai, kmko, kmnancx, kmcancx, ksatncx, kmcmdn, kmtrpn, kmcsqn, trpnmax, cmdnmax, csqnmax, inacamax, inakmax, ipcamax, krel, iupmax, kq10): """""" Computes the ionic currents and updates the state variables in the 3D Courtemanche cardiac model. Parameters ---------- u_new : np.ndarray Updated membrane potential values. u : np.ndarray Current membrane potential values. v : np.ndarray Recovery variable array. indexes : np.ndarray Array of indices where the kernel should be computed (``mesh == 1``). dt : float Time step for the simulation. """""" n_j = u.shape[1] n_k = u.shape[2] for ind in prange(len(indexes)): ii = indexes[ind] i = ii//(n_j*n_k) j = (ii % (n_j*n_k))//n_k k = (ii % (n_j*n_k)) % n_k ena, ek, eca = calc_equilibrum_potentials(nai[i, j, k], nao, ki[i, j, k], ko, cai[i, j, k], cao, R, T, F) m[i, j, k] = calc_gating_m(m[i, j, k], u[i, j, k], dt) h[i, j, k] = calc_gating_h(h[i, j, k], u[i, j, k], dt) j_[i, j, k] = calc_gating_j(j_[i, j, k], u[i, j, k], dt) ina = calc_ina(u[i, j, k], m[i, j, k], h[i, j, k], j_[i, j, k], gna, ena) ik1 = calc_ik1(u[i, j, k], gk1, ek) ito, oa[i, j, k], oi[i, j, k] = calc_ito(u[i, j, k], dt, kq10, oa[i, j, k], oi[i, j, k], gto, ek) ikur, ua[i, j, k], ui[i, j, k] = calc_ikur(u[i, j, k], dt, kq10, ua[i, j, k], ui[i, j, k], ek, gkur_coeff) ikr, xr[i, j, k] = calc_ikr(u[i, j, k], dt, xr[i, j, k], gkr, ek) iks, xs[i, j, k] = calc_iks(u[i, j, k], dt, xs[i, j, k], gks, ek) ical, d[i, j, k], f[i, j, k], fca[i, j, k] = calc_ical(u[i, j, k], dt, d[i, j, k], f[i, j, k], cai[i, j, k], gcal, fca[i, j, k], eca) inak = calc_inak(inakmax, nai[i, j, k], nao, ko, kmnai, kmko, F, u[i, j, k], R, T) inaca = calc_inaca(inacamax, nai[i, j, k], nao, cai[i, j, k], cao, kmnancx, kmcancx, ksatncx, F, u[i, j, k], R, T) ibca = calc_ibca(gcab, eca, u[i, j, k]) ibna = calc_ibna(gnab, ena, u[i, j, k]) ipca = calc_ipca(ipcamax, cai[i, j, k]) irel[i, j, k], urel[i, j, k], vrel[i, j, k], wrel[i, j, k] = calc_irel(dt, urel[i, j, k], vrel[i, j, k], irel[i, j, k], wrel[i, j, k], ical, inaca, krel, carel[i, j, k], cai[i, j, k], u[i, j, k], F, Vrel) itr = calc_itr(caup[i, j, k], carel[i, j, k]) iup = calc_iup(iupmax, cai[i, j, k], kup) iupleak = calc_iupleak(caup[i, j, k], caupmax, iupmax) caup[i, j, k] = calc_caup(caup[i, j, k], dt, iup, iupleak, itr, Vrel, Vup) nai[i, j, k] = calc_nai(nai[i, j, k], dt, inak, inaca, ibna, ina, F, Vj) ki[i, j, k] = calc_ki(ki[i, j, k], dt, inak, ik1, ito, ikur, ikr, iks, ibk, F, Vj) cai[i, j, k] = calc_cai(cai[i, j, k], dt, inaca, ipca, ical, ibca, iup, iupleak, irel[i, j, k], Vrel, Vup, trpnmax, kmtrpn, cmdnmax, kmcmdn, F, Vj) carel[i, j, k] = calc_carel(carel[i, j, k], dt, itr, irel[i, j, k], csqnmax, kmcsqn) u_new[i, j, k] -= dt * (ina + ik1 + ito + ikur + ikr + iks + ical + ipca + inak + inaca + ibna + ibca) ","Python" "Cell biology","finitewave/Finitewave","finitewave/cpuwave3D/model/barkley_3d.py",".py","2294","85","from numba import njit, prange from finitewave.cpuwave2D.model.barkley_2d import Barkley2D, calc_v from finitewave.cpuwave3D.stencil.isotropic_stencil_3d import ( IsotropicStencil3D ) from finitewave.cpuwave3D.stencil.asymmetric_stencil_3d import ( AsymmetricStencil3D ) class Barkley3D(Barkley2D): """""" Implementation of the Barkley 3D cardiac model. See Barkley2D for the 2D model description. """""" def __init__(self): super().__init__() def run_ionic_kernel(self): """""" Executes the ionic kernel for the Barkley model. """""" ionic_kernel_3d(self.u_new, self.u, self.v, self.cardiac_tissue.myo_indexes, self.dt, self.a, self.b, self.eap) def select_stencil(self, cardiac_tissue): """""" Selects the appropriate stencil for diffusion based on the tissue properties. If the tissue has fiber directions, an asymmetric stencil is used; otherwise, an isotropic stencil is used. Parameters ---------- cardiac_tissue : CardiacTissue3D A 3D cardiac tissue object. Returns ------- Stencil The stencil object to be used for diffusion computations. """""" if cardiac_tissue.fibers is None: return IsotropicStencil3D() return AsymmetricStencil3D() @njit(parallel=True) def ionic_kernel_3d(u_new, u, v, indexes, dt, a, b, eap): """""" Computes the ionic kernel for the Barkley 3D model. Parameters ---------- u_new : np.ndarray Array to store the updated action potential values. u : np.ndarray Current action potential array. v : np.ndarray Recovery variable array. dt : float Time step for the simulation. indexes : np.ndarray Array of indices where the kernel should be computed (``mesh == 1``). """""" n_j = u.shape[1] n_k = u.shape[2] for ni in prange(len(indexes)): ii = indexes[ni] i = ii//(n_j*n_k) j = (ii % (n_j*n_k))//n_k k = (ii % (n_j*n_k)) % n_k v[i, j, k] = calc_v(v[i, j, k], u[i, j, k], dt) u_new[i, j, k] += dt * (u[i, j, k]*(1 - u[i, j, k])*(u[i, j, k] - (v[i, j, k] + b)/a))/eap ","Python" "Cell biology","finitewave/Finitewave","finitewave/cpuwave3D/model/fenton_karma_3d.py",".py","2840","99","from numba import njit, prange from finitewave.cpuwave2D.model.fenton_karma_2d import ( FentonKarma2D, calc_Jfi, calc_Jsi, calc_Jso, calc_v, calc_w, ) from finitewave.cpuwave3D.stencil.isotropic_stencil_3d import ( IsotropicStencil3D ) from finitewave.cpuwave3D.stencil.asymmetric_stencil_3d import ( AsymmetricStencil3D ) class FentonKarma3D(FentonKarma2D): """""" Implementation of the Fenton-Karma 3D cardiac model. See FentonKarma2D for the 2D model description. """""" def __init__(self): super().__init__() def run_ionic_kernel(self): """""" Executes the ionic kernel for the Fenton-Karma model. """""" ionic_kernel_3d(self.u_new, self.u, self.v, self.w, self.cardiac_tissue.myo_indexes, self.dt, self.tau_d, self.tau_o, self.tau_r, self.tau_si, self.tau_v_m, self.tau_v_p, self.tau_w_m, self.tau_w_p, self.k, self.u_c, self.uc_si) def select_stencil(self, cardiac_tissue): """""" Selects the appropriate stencil for diffusion based on the tissue properties. If the tissue has fiber directions, an asymmetric stencil is used; otherwise, an isotropic stencil is used. Parameters ---------- cardiac_tissue : CardiacTissue3D A 3D cardiac tissue object. Returns ------- Stencil The stencil object to be used for diffusion computations. """""" if cardiac_tissue.fibers is None: return IsotropicStencil3D() return AsymmetricStencil3D() @njit(parallel=True) def ionic_kernel_3d(u_new, u, v, w, indexes, dt, tau_d, tau_o, tau_r, tau_si, tau_v_m, tau_v_p, tau_w_m, tau_w_p, k, u_c, uc_si): """""" Computes the ionic kernel for the Fenton-Karma 3D model. Parameters ---------- u_new : ndarray The new state of the u variable. u : ndarray The current state of the u variable. myo_indexes : list List of indexes representing myocardial cells. dt : float The time step for the simulation. """""" n_j = u.shape[1] n_k = u.shape[2] for ni in prange(len(indexes)): ii = indexes[ni] i = ii//(n_j*n_k) j = (ii % (n_j*n_k))//n_k k_ = (ii % (n_j*n_k)) % n_k v[i, j, k_] = calc_v(v[i, j, k_], u[i, j, k_], dt, u_c, tau_v_m, tau_v_p) w[i, j, k_] = calc_w(w[i, j, k_], u[i, j, k_], dt, u_c, tau_w_m, tau_w_p) J_fi = calc_Jfi(u[i, j, k_], v[i, j, k_], u_c, tau_d) J_so = calc_Jso(u[i, j, k_], u_c, tau_o, tau_r) J_si = calc_Jsi(u[i, j, k_], v[i, j, k_], k, uc_si, tau_si) u_new[i, j, k_] += dt * (-J_fi - J_so - J_si) ","Python" "Cell biology","finitewave/Finitewave","finitewave/cpuwave3D/stimulation/stim_voltage_list_matrix_3d.py",".py","2267","73","from finitewave.core.stimulation.stim_voltage import StimVoltage class StimVoltageListMatrix3D(StimVoltage): """""" A class that applies a voltage stimulus to a 3D cardiac tissue model according to a specified matrix. Parameters ---------- time : float The time at which the stimulation starts. volt_values : array-like The voltage values to apply. matrix : numpy.ndarray A 3D array where the voltage stimulus is applied to locations with values greater than 0. step : int The step of the voltage values array. """""" def __init__(self, time, volt_values, duration, matrix): """""" Initializes the StimVoltageMatrix3D instance. Parameters ---------- time : float The time at which the stimulation starts. volt_values : float The voltage value to apply. duration : float The duration of the stimulation. matrix : numpy.ndarray A 3D array where the voltage stimulus is applied to locations with values greater than 0. """""" super().__init__(time, volt_values, duration) self.matrix = matrix self.step = 0 def initialize(self, model): """""" Prepares the stimulation for application. Parameters ---------- model : object The cardiac tissue model to which the voltage stimulus will be applied. """""" super().initialize(model) total_steps = int(self.duration / model.dt) + 1 if len(self.volt_value) < total_steps: message = (""The length of the voltage values array should be "" + ""greater than the total number of steps."") raise ValueError(message) def stimulate(self, model): """""" Applies the voltage stimulus to the cardiac tissue model based on the specified matrix. Parameters ---------- model : object The cardiac tissue model to which the voltage stimulus is applied. """""" mask = (self.matrix > 0) & (model.cardiac_tissue.mesh == 1) model.u[mask] = self.volt_value[self.step] self.step += 1 ","Python" "Cell biology","finitewave/Finitewave","finitewave/cpuwave3D/stimulation/stim_current_matrix_3d.py",".py","1499","46","import numpy as np from finitewave.cpuwave2D.stimulation.stim_current_matrix_2d import ( StimCurrentMatrix2D ) class StimCurrentMatrix3D(StimCurrentMatrix2D): """""" A class that applies a stimulation current to a 3D cardiac tissue model based on a binary matrix. Parameters ---------- time : float The time at which the stimulation starts. curr_value : float The value of the stimulation current. duration : float The duration of the stimulation. matrix : numpy.ndarray A 3D binary matrix indicating the region of interest for stimulation. Elements greater than 0 represent regions to be stimulated. u_max : float, optional The maximum value of the membrane potential. Default is None. """""" def __init__(self, time, curr_value, duration, matrix, u_max=None): """""" Initializes the StimCurrentMatrix3D instance. Parameters ---------- time : float The time at which the stimulation starts. curr_value : float The value of the stimulation current. duration : float The duration of the stimulation. matrix : numpy.ndarray A 3D binary matrix indicating the region of interest for stimulation. u_max : float, optional The maximum value of the membrane potential. Default is None. """""" super().__init__(time, curr_value, duration, matrix, u_max) ","Python" "Cell biology","finitewave/Finitewave","finitewave/cpuwave3D/stimulation/__init__.py",".py","337","7","from .stim_current_coord_3d import StimCurrentCoord3D from .stim_voltage_coord_3d import StimVoltageCoord3D from .stim_current_matrix_3d import StimCurrentMatrix3D from .stim_voltage_matrix_3d import StimVoltageMatrix3D from .stim_voltage_list_matrix_3d import StimVoltageListMatrix3D from .stim_current_area_3d import StimCurrentArea3D ","Python" "Cell biology","finitewave/Finitewave","finitewave/cpuwave3D/stimulation/stim_voltage_coord_3d.py",".py","2157","69","from finitewave.core.stimulation.stim_voltage import StimVoltage class StimVoltageCoord3D(StimVoltage): """""" A class that applies a voltage stimulus to a 3D cardiac tissue model within a specified region of interest. Parameters ---------- time : float The time at which the stimulation starts. volt_value : float The voltage value to apply to the region of interest. x1 : int The starting x-coordinate of the region of interest. x2 : int The ending x-coordinate of the region of interest. y1 : int The starting y-coordinate of the region of interest. y2 : int The ending y-coordinate of the region of interest. z1 : int The starting z-coordinate of the region of interest. z2 : int The ending z-coordinate of the region of interest. """""" def __init__(self, time, volt_value, x1, x2, y1, y2, z1, z2): """""" Initializes the StimVoltageCoord2D instance. Parameters ---------- time : float The time at which the stimulation starts. volt_value : float The voltage value to apply. x1, x2, y1, y2, z1, z2 : int The coordinates of the region of interest to which the voltage stimulus is applied. """""" super().__init__(time, volt_value) self.x1 = x1 self.x2 = x2 self.y1 = y1 self.y2 = y2 self.z1 = z1 self.z2 = z2 def stimulate(self, model): """""" Applies the voltage stimulus to the cardiac tissue model within the specified region of interest. Parameters ---------- model : object The cardiac tissue model to which the voltage stimulus is applied. """""" roi_mesh = model.cardiac_tissue.mesh[self.x1: self.x2, self.y1: self.y2, self.z1: self.z2] mask = (roi_mesh == 1) model.u[self.x1: self.x2, self.y1: self.y2, self.z1: self.z2][mask] = self.volt_value ","Python" "Cell biology","finitewave/Finitewave","finitewave/cpuwave3D/stimulation/stim_voltage_matrix_3d.py",".py","1459","48","from finitewave.core.stimulation.stim_voltage import StimVoltage class StimVoltageMatrix3D(StimVoltage): """""" A class that applies a voltage stimulus to a 3D cardiac tissue model according to a specified matrix. Parameters ---------- time : float The time at which the stimulation starts. volt_value : float The voltage value to apply. matrix : numpy.ndarray A 3D array where the voltage stimulus is applied to locations with values greater than 0. """""" def __init__(self, time, volt_value, matrix): """""" Initializes the StimVoltageMatrix3D instance. Parameters ---------- time : float The time at which the stimulation starts. volt_value : float The voltage value to apply. matrix : numpy.ndarray A 3D array where the voltage stimulus is applied to locations with values greater than 0. """""" super().__init__(time, volt_value) self.matrix = matrix def stimulate(self, model): """""" Applies the voltage stimulus to the cardiac tissue model based on the specified matrix. Parameters ---------- model : object The cardiac tissue model to which the voltage stimulus is applied. """""" mask = (self.matrix > 0) & (model.cardiac_tissue.mesh == 1) model.u[mask] = self.volt_value ","Python" "Cell biology","finitewave/Finitewave","finitewave/cpuwave3D/stimulation/stim_current_coord_3d.py",".py","3092","91","import numpy as np from finitewave.core.stimulation.stim_current import StimCurrent class StimCurrentCoord3D(StimCurrent): """""" A class that applies a stimulation current to a rectangular region of a 3D cardiac tissue model. Parameters ---------- time : float The time at which the stimulation starts. curr_value : float The value of the stimulation current. duration : float The duration of the stimulation. x1 : int The x-coordinate of the lower-left corner of the rectangular region. x2 : int The x-coordinate of the upper-right corner of the rectangular region. y1 : int The y-coordinate of the lower-left corner of the rectangular region. y2 : int The y-coordinate of the upper-right corner of the rectangular region. z1 : int The z-coordinate of the lower-left corner of the rectangular region. z2 : int The z-coordinate of the upper-right corner of the rectangular region. u_max : float, optional The maximum value of the membrane potential. Default is None. """""" def __init__(self, time, curr_value, duration, x1, x2, y1, y2, z1, z2, u_max=None): """""" Initializes the StimCurrentCoord3D instance. Parameters ---------- time : float The time at which the stimulation starts. curr_value : float The value of the stimulation current. duration : float The duration of the stimulation. x1, x2, y1, y2, z1, z2 : int The coordinates of the rectangular region to which the stimulation current is applied. u_max : float, optional The maximum value of the membrane potential. Default is None. """""" super().__init__(time, curr_value, duration) self.x1 = x1 self.x2 = x2 self.y1 = y1 self.y2 = y2 self.z1 = z1 self.z2 = z2 self.u_max = u_max def stimulate(self, model): """""" Applies the stimulation current to the specified rectangular region of the cardiac tissue model. Parameters ---------- model : object The cardiac tissue model to which the stimulation current is applied. """""" roi_mesh = model.cardiac_tissue.mesh[self.x1: self.x2, self.y1: self.y2, self.z1: self.z2] mask = (roi_mesh == 1) model.u[self.x1: self.x2, self.y1: self.y2, self.z1: self.z2][mask] += model.dt * self.curr_value if self.u_max is not None: u = model.u[self.x1: self.x2, self.y1: self.y2, self.z1: self.z2][mask] model.u[self.x1: self.x2, self.y1: self.y2, self.z1: self.z2][mask] = np.where(u > self.u_max, self.u_max, u) ","Python" "Cell biology","finitewave/Finitewave","finitewave/cpuwave3D/stimulation/stim_current_area_3d.py",".py","1245","40","from finitewave.cpuwave2D.stimulation.stim_current_area_2d import ( StimCurrentArea2D ) class StimCurrentArea3D(StimCurrentArea2D): """""" A class that applies a stimulation current to a 3D cardiac tissue model based on a area coords. Attributes ---------- time : float The time at which the stimulation starts. curr_value : float The value of the stimulation current. duration : float The duration of the stimulation. coords : numpy.ndarray The coordinates of the area to be stimulated. """""" def __init__(self, time, curr_value, duration, coords=None, u_max=None): """""" Initializes the StimCurrentArea3D instance. Parameters ---------- time : float The time at which the stimulation starts. curr_value : float The value of the stimulation current. duration : float The duration of the stimulation. coords : numpy.ndarray The coordinates of the area to be stimulated. u_max : float, optional The maximum value of the membrane potential. Default is None. """""" super().__init__(time, curr_value, duration, coords, u_max) ","Python" "Cell biology","finitewave/Finitewave","finitewave/cpuwave3D/tracker/period_animation_3d_tracker.py",".py","1733","49","from pathlib import Path import shutil as shatilib from finitewave.cpuwave2D.tracker.period_animation_2d_tracker import ( PeriodAnimation2DTracker ) from finitewave.tools.animation_3d_builder import Animation3DBuilder class PeriodAnimation3DTracker(PeriodAnimation2DTracker): """""" Class for tracking 3D period map. Initializes PeriodAnimation2DTracker. """""" def __init__(self): super().__init__() def write(self, clim=[0, 1], cmap=""viridis"", scalar_bar=False, clear=True, prog_bar=True, **kwargs): """""" Write the animation to a file. Parameters ---------- clim : list, optional Color limits. Defaults to [0, 1]. cmap : str, optional Color map. Defaults to ""viridis"". scalar_bar : bool, optional Show scalar bar. Defaults to False. clear : bool, optional Clear the snapshot folder after writing the animation. Defaults to True. prog_bar : bool, optional Show progress bar. Defaults to True. **kwargs : optional Additional arguments for the animation writer. """""" animation_builder = Animation3DBuilder() animation_builder.write(Path(self.path, self.dir_name), path_save=self.path, mask=self.model.cardiac_tissue.mesh, scalar_name='Period', clim=clim, cmap=cmap, scalar_bar=scalar_bar, format='mp4', prog_bar=prog_bar, **kwargs) if clear: shatilib.rmtree(Path(self.path, self.dir_name)) ","Python" "Cell biology","finitewave/Finitewave","finitewave/cpuwave3D/tracker/animation_3d_tracker.py",".py","2042","58","from pathlib import Path import shutil as shatilib from finitewave.cpuwave2D.tracker.animation_2d_tracker import ( Animation2DTracker ) from finitewave.tools.animation_3d_builder import Animation3DBuilder class Animation3DTracker(Animation2DTracker): """"""A class to track and save frames of a 3D cardiac tissue model simulation for animation purposes. """""" def __init__(self): """""" Initializes the Animation3DTracker with default parameters. """""" super().__init__() def write(self, path=None, clim=[0, 1], cmap=""viridis"", scalar_bar=False, format=""mp4"", clear=False, prog_bar=True, **kwargs): """""" Write the animation to a file. Parameters ---------- path : str, optional Path to save the animation. Defaults to path of the tracker. clim : list, optional Color limits. Defaults to [0, 1]. cmap : str, optional Color map. Defaults to ""viridis"". scalar_bar : bool, optional Show scalar bar. Defaults to False. format : str, optional Format of the animation. Defaults to ""mp4"". Other option is ""gif"". clear : bool, optional Clear the snapshot folder after writing the animation. Defaults to False. **kwargs : optional Additional arguments for the animation writer. """""" if path is None: path = self.path animation_builder = Animation3DBuilder() animation_builder.write(Path(self.path, self.dir_name), path_save=path, mask=self.model.cardiac_tissue.mesh, scalar_name=self.variable_name, clim=clim, cmap=cmap, scalar_bar=scalar_bar, format=format, prog_bar=prog_bar, **kwargs) if clear: shatilib.rmtree(Path(self.path, self.dir_name)) ","Python" "Cell biology","finitewave/Finitewave","finitewave/cpuwave3D/tracker/spiral_wave_core_3d_tracker.py",".py","1176","36","import pandas as pd from finitewave.cpuwave2D.tracker.spiral_wave_core_2d_tracker import ( SpiralWaveCore2DTracker ) class SpiralWaveCore3DTracker(SpiralWaveCore2DTracker): """""" A class to track spiral wave cores in 3D cardiac tissue simulations. The tip tracker detects spiral wave cores by analyzing the voltage data on each slice (z-axis) of the 3D tissue mesh. """""" def __init__(self): super().__init__() def _track(self): """""" Track spiral tips at each simulation step by analyzing voltage data. The tracker is updated at each simulation step, detecting any spiral tips based on the voltage data from the previous and current steps. """""" for k in range(self.model.u.shape[2]): u_prev = self.u_prev[:, :, k] u = self.model.u[:, :, k] tips = self.track_tip_line(u_prev, u, self.threshold) tips = pd.DataFrame(tips, columns=[""x"", ""y""]) tips[""z""] = k tips[""time""] = self.model.t tips[""step""] = self.model.step self.sprial_wave_cores.append(tips) self.u_prev = self.model.u.copy() ","Python" "Cell biology","finitewave/Finitewave","finitewave/cpuwave3D/tracker/activation_time_3d_tracker.py",".py","369","16"," from finitewave.cpuwave2D.tracker.activation_time_2d_tracker import ( ActivationTime2DTracker ) class ActivationTime3DTracker(ActivationTime2DTracker): """""" Class that tracks activation times in 3D. """""" def __init__(self): """""" Initializes the ActivationTime3DTracker with default parameters. """""" super().__init__() ","Python" "Cell biology","finitewave/Finitewave","finitewave/cpuwave3D/tracker/vtk_frame_3d_tracker.py",".py","2340","77","from pathlib import Path from finitewave.tools.vis_mesh_builder_3d import VisMeshBuilder3D from finitewave.core.tracker.tracker import Tracker class VTKFrame3DTracker(Tracker): """""" A class for tracking and saving VTK frames in a 3D model. Attributes ---------- file_name (str): The name of the saved frames. dir_name (str): The name of the folder where the frames will be saved. variable_name (str): The name of the target array to be tracked. file_type (str): The file type of the saved frames ("".vtk"" or "".vtu"") """""" def __init__(self): super().__init__() self.file_name = ""frame"" self.dir_name = ""vtk_frames"" self.variable_name = """" self.file_type = "".vtk"" self._frame_counter = 0 def initialize(self, model): """""" Initializes the tracker with the model. Parameters ----------- model (CardiacModel): The model to track. """""" self.model = model self._frame_counter = 0 self.path = Path(self.path) if not self.path.joinpath(self.dir_name).exists(): self.path.joinpath(self.dir_name).mkdir(parents=True) if self.variable_name == """": raise ValueError(""Please specify the target array to be tracked."") if self.variable_name not in self.model.__dict__: raise ValueError(f""Array {self.variable_name} not found in model."") def _track(self): frame_name = self.path.joinpath( self.dir_name, f""{self.file_name}{self._frame_counter}"" ).with_suffix(self.file_type) self.write_frame(frame_name) self._frame_counter += 1 def write_frame(self, frame_name): """""" Writes a VTK frame to a file. Parameters ----------- frame_name (str): The name of the frame file. """""" state_var = self.model.__dict__[self.variable_name] vtk_mesh_builder = VisMeshBuilder3D() vtk_mesh = vtk_mesh_builder.build_mesh(self.model.cardiac_tissue.mesh) vtk_mesh = vtk_mesh_builder.add_scalar(state_var, self.variable_name) vtk_mesh.save(frame_name) def write(self): """""" For compatibility with the Tracker class. """""" return super().write() ","Python" "Cell biology","finitewave/Finitewave","finitewave/cpuwave3D/tracker/action_potential_3d_tracker.py",".py","375","16"," from finitewave.cpuwave2D.tracker.action_potential_2d_tracker import ( ActionPotential2DTracker ) class ActionPotential3DTracker(ActionPotential2DTracker): """""" Class that tracks action potentials in 3D. """""" def __init__(self): """""" Initializes the ActionPotential3DTracker with default parameters. """""" super().__init__() ","Python" "Cell biology","finitewave/Finitewave","finitewave/cpuwave3D/tracker/__init__.py",".py","1622","39",""""""" 3D Tracker ========== This module contains classes for tracking the evolution of the wavefront in 3D. Most of the classes in this module are similar to the ones in the 2D tracker module. More information can be found in the documentation for the 2D tracker module. The tracker classes can be grouped into the following categories: * Full field trackers that track the entire field and output the results in a single array. * Point trackers that track the evolution of a specific point(s) in the field. * Animation trackers that track the evolution of the field over time and save the results as frames for creating animations. Each tracker class has basic attributes such as ``start_time``, ``end_time``, ``step``, ``path``, and ``file_name``. .. note:: Note that the ``start_time`` and ``end_time`` is given in time units, and the ``step`` is the number of time steps between recordings. """""" from .action_potential_3d_tracker import ActionPotential3DTracker from .activation_time_3d_tracker import ActivationTime3DTracker from .local_activation_time_3d_tracker import LocalActivationTime3DTracker from .animation_slice_3d_tracker import AnimationSlice3DTracker from .ecg_3d_tracker import ECG3DTracker from .period_3d_tracker import Period3DTracker from .period_animation_3d_tracker import PeriodAnimation3DTracker from .spiral_wave_core_3d_tracker import SpiralWaveCore3DTracker from .variable_3d_tracker import Variable3DTracker from .multi_variable_3d_tracker import MultiVariable3DTracker from .vtk_frame_3d_tracker import VTKFrame3DTracker from .animation_3d_tracker import Animation3DTracker ","Python" "Cell biology","finitewave/Finitewave","finitewave/cpuwave3D/tracker/variable_3d_tracker.py",".py","227","10","from finitewave.cpuwave2D.tracker.variable_2d_tracker import Variable2DTracker class Variable3DTracker(Variable2DTracker): """""" Class for tracking 3D variable """""" def __init__(self): super().__init__() ","Python" "Cell biology","finitewave/Finitewave","finitewave/cpuwave3D/tracker/animation_slice_3d_tracker.py",".py","3909","121","from pathlib import Path import numpy as np from finitewave.cpuwave2D.tracker.animation_2d_tracker import ( Animation2DTracker ) from finitewave.tools.animation_2d_builder import Animation2DBuilder class AnimationSlice3DTracker(Animation2DTracker): """""" A class to track and save 2D frames of a 3D cardiac tissue model simulation for animation purposes. This tracker periodically saves the state of a specified target array from the model to disk as NumPy files, which can later be used to create animations. Attributes ---------- slice_x : int The x-coordinate of the slice to capture. slice_y : int The y-coordinate of the slice to capture. slice_z : int The z-coordinate of the slice to capture. """""" def __init__(self): super().__init__() self.slice_x = None self.slice_y = None self.slice_z = None def initialize(self, model): self.model = model self._frame_counter = 0 if np.count_nonzero([self.slice_x, self.slice_y, self.slice_z]) != 1: message = ""Exactly one slice must be specified."" raise ValueError(message) super().initialize(model) def _track(self): """""" Saves frames based on the specified step interval and target array. The frames are saved in the specified directory as NumPy files. """""" values = self.model.__dict__[self.variable_name] frame = self.select_frame(values) np.save(Path(self.path, self.dir_name, str(self._frame_counter) ).with_suffix("".npy""), frame.astype(self.frame_type)) self._frame_counter += 1 def select_frame(self, array): """""" Selects the slice from the 3D array based on the specified slice coordinates. Parameters ---------- array : ndarray The 3D array to slice. Returns ------- ndarray The 2D slice of the 3D array. """""" if self.slice_x is not None: return array[self.slice_x, :, :] if self.slice_y is not None: return array[:, self.slice_y, :] if self.slice_z is not None: return array[:, :, self.slice_z] def write(self, shape_scale=1, fps=12, cmap=""coolwarm"", clim=[0, 1], clear=False, prog_bar=True): """""" Creates an animation from the saved frames using the Animation2DBuilder class. Fibrosis and boundaries will be shown in black. Parameters ---------- shape_scale : int, optional Scale factor for the frame size. The default is 5. fps : int, optional Frames per second for the animation. The default is 12. cmap : str, optional Color map for the animation. The default is 'coolwarm'. clim : list, optional Color limits for the animation. The default is [0, 1]. clear : bool, optional Clear the snapshot folder after creating the animation. The default is False. prog_bar : bool, optional Show a progress bar during the animation creation. The default is True. """""" animation_builder = Animation2DBuilder() path = Path(self.path, self.dir_name) mask = self.select_frame(self.model.cardiac_tissue.mesh) != 1 animation_builder.write(path, animation_name=self.file_name, mask=mask, shape_scale=shape_scale, fps=fps, clim=clim, shape=mask.shape, cmap=cmap, clear=clear, prog_bar=prog_bar) ","Python" "Cell biology","finitewave/Finitewave","finitewave/cpuwave3D/tracker/local_activation_time_3d_tracker.py",".py","404","16"," from finitewave.cpuwave2D.tracker.local_activation_time_2d_tracker import ( LocalActivationTime2DTracker ) class LocalActivationTime3DTracker(LocalActivationTime2DTracker): """""" Class that tracks multiple activation times in 3D. """""" def __init__(self): """""" Initializes the LocalActivationTime3DTracker with default parameters. """""" super().__init__() ","Python" "Cell biology","finitewave/Finitewave","finitewave/cpuwave3D/tracker/period_3d_tracker.py",".py","247","10","from finitewave.cpuwave2D.tracker.period_2d_tracker import Period2DTracker class Period3DTracker(Period2DTracker): """""" Class for tracking 3D period. Initializes Period2DTracker. """""" def __init__(self): super().__init__() ","Python" "Cell biology","finitewave/Finitewave","finitewave/cpuwave3D/tracker/multi_variable_3d_tracker.py",".py","257","12","from finitewave.cpuwave2D.tracker.multi_variable_2d_tracker import ( MultiVariable2DTracker ) class MultiVariable3DTracker(MultiVariable2DTracker): """""" Class for tracking 3D variables """""" def __init__(self): super().__init__() ","Python" "Cell biology","finitewave/Finitewave","finitewave/cpuwave3D/tracker/ecg_3d_tracker.py",".py","3914","141","from pathlib import Path import numpy as np from numba import njit, prange from scipy import spatial from finitewave.core.tracker.tracker import Tracker class ECG3DTracker(Tracker): """""" A class to compute and track electrocardiogram (ECG) signals from a 3D cardiac tissue model simulation. This tracker calculates ECG signals at specified measurement points by computing the potential differences across the cardiac tissue mesh and considering the inverse of the distance from each measurement point. Attributes ---------- measure_coords : np.ndarray An array of points (x, y, z) where ECG signals are measured. ecg : list The computed ECG signals. file_name : str The name of the file to save the computed ECG signals. u_tr : np.ndarray The updated potential values after diffusion. """""" def __init__(self, measure_coords=None): super().__init__() self.measure_coords = measure_coords self.ecg = [] self.file_name = ""ecg.npy"" self.u_tr = None def initialize(self, model): """""" Initialize the ECG tracker with the model object. Parameters ---------- model : CardiacModel3D The model object containing the simulation parameters. """""" self.model = model self.measure_coords = np.atleast_2d(self.measure_coords) self.ecg = [] self.u_tr = np.zeros_like(model.u) def calc_ecg(self): """""" Calculate the ECG signal at the measurement points. Returns ------- np.ndarray The computed ECG signal. """""" self.model.diffusion_kernel(self.u_tr, self.model.u, self.model.weights, self.model.cardiac_tissue.myo_indexes) ecg = compute_ecg(self.u_tr, self.model.u, self.measure_coords, self.model.dr, self.model.cardiac_tissue.myo_indexes) return ecg def _track(self): ecg = self.calc_ecg() self.ecg.append(ecg) @property def output(self): """""" Get the computed ECG signals as a numpy array. Returns ------- np.ndarray The computed ECG signals. """""" return np.array(self.ecg) def write(self): """""" Save the computed ECG signals to a file. The ECG signals are saved as a numpy array in the specified path. """""" if not Path(self.path).exists(): Path(self.path).mkdir(parents=True) np.save(Path(self.path, self.file_name), self.output) @njit(parallel=True) def compute_ecg(u_tr, u, coords, dr, indexes): """""" Performs isotropic diffusion on a 3D grid. Parameters ---------- u_tr : numpy.ndarray A 3D array to store the updated potential values after diffusion. u : numpy.ndarray A 3D array representing the current potential values before diffusion. coord : tuple The coordinates of the measurement point. dr : float The spatial resolution of the grid. indexes : numpy.ndarray A 1D array of indices of the healthy tissue points. """""" n_j = u.shape[1] n_k = u.shape[2] n_c = len(coords) ecg = np.zeros(n_c) for c in range(n_c): x, y, z = coords[c] ecg_ = 0 for ind in prange(len(indexes)): ii = indexes[ind] i = ii // (n_j * n_k) j = (ii % (n_j * n_k)) // n_k k = (ii % (n_j * n_k)) % n_k d = (x - i)**2 + (y - j)**2 + (z - k)**2 if d > 0: ecg_ += (u_tr[i, j, k] - u[i, j, k]) / (d * dr) ecg[c] = ecg_ return ecg ","Python" "Cell biology","finitewave/Finitewave","finitewave/cpuwave3D/stencil/isotropic_stencil_3d.py",".py","4923","150","import numpy as np from numba import njit, prange from finitewave.cpuwave2D.stencil.isotropic_stencil_2d import ( compute_component, IsotropicStencil2D ) class IsotropicStencil3D(IsotropicStencil2D): """""" This class computes the weights for diffusion on a 3D using an isotropic stencil. The stencil includes 7 points: the central point and the six neighbors. The method assumes weights being used in the following order: ``w[i, j, k, 0] : (i-1, j, k)``, ``w[i, j, k, 1] : (i, j-1, k)``, ``w[i, j, k, 2] : (i, j, k-1)``, ``w[i, j, k, 3] : (i, j, k)``, ``w[i, j, k, 4] : (i, j, k+1)``, ``w[i, j, k, 5] : (i, j+1, k)``, ``w[i, j, k, 6] : (i+1, j, k)``. Notes ----- The method can handle heterogeneity in the diffusion coefficients given by the ``conductivity`` parameter. """""" def __init__(self): super().__init__() def select_diffusion_kernel(self): """""" Returns the diffusion kernel function for isotropic diffusion in 3D. Returns ------- function The diffusion kernel function for isotropic diffusion in 3D. """""" return diffusion_kernel_3d_iso def compute_weights(self, model, cardiac_tissue): """""" Computes the weights for isotropic diffusion in 3D. Parameters ---------- model : CardiacModel3D A model object containing the simulation parameters. cardiac_tissue : CardiacTissue3D A 3D cardiac tissue object. Returns ------- numpy.ndarray The weights for isotropic diffusion in 3D. """""" mesh = cardiac_tissue.mesh.copy() mesh[mesh != 1] = 0 conductivity = cardiac_tissue.conductivity conductivity = conductivity * np.ones_like(mesh, dtype=model.npfloat) d_xx, d_yy, d_zz = self.compute_half_step_diffusion(mesh, conductivity, num_axes=3) weights = np.zeros((*mesh.shape, 7), dtype=model.npfloat) weights = compute_weights(weights, mesh, d_xx, d_yy, d_zz) weights = weights * model.D_model * model.dt / model.dr**2 weights[:, :, :, 3] += 1 return weights @njit(parallel=True) def diffusion_kernel_3d_iso(u_new, u, w, indexes): """""" Performs isotropic diffusion on a 3D grid. Parameters ---------- u_new : numpy.ndarray A 3D array to store the updated potential values after diffusion. u : numpy.ndarray A 3D array representing the current potential values before diffusion. w : numpy.ndarray A 4D array of weights used in the diffusion computation. The shape should match (*mesh.shape, 7). indexes : numpy.ndarray A 1D array of indices where the diffusion should be computed. """""" n_j = u.shape[1] n_k = u.shape[2] for ind in prange(len(indexes)): ii = indexes[ind] i = ii//(n_j*n_k) j = (ii % (n_j*n_k))//n_k k = (ii % (n_j*n_k)) % n_k u_new[i, j, k] = (u[i-1, j, k] * w[i, j, k, 0] + u[i, j-1, k] * w[i, j, k, 1] + u[i, j, k-1] * w[i, j, k, 2] + u[i, j, k] * w[i, j, k, 3] + u[i, j, k+1] * w[i, j, k, 4] + u[i, j+1, k] * w[i, j, k, 5] + u[i+1, j, k] * w[i, j, k, 6]) @njit(parallel=True) def compute_weights(w, m, d_xx, d_yy, d_zz): n_i = m.shape[0] n_j = m.shape[1] n_k = m.shape[2] for ii in prange(n_i * n_j * n_k): i = ii // (n_j * n_k) j = (ii % (n_j * n_k)) // n_k k = (ii % (n_j * n_k)) % n_k if m[i, j, k] != 1: continue # (i-1, j, k) w[i, j, k, 0] = compute_component(d_xx[i-1, j, k], m[i-1, j, k], m[i+1, j, k]) # (i, j-1, k) w[i, j, k, 1] = compute_component(d_yy[i, j-1, k], m[i, j-1, k], m[i, j+1, k]) # (i, j, k-1) w[i, j, k, 2] = compute_component(d_zz[i, j, k-1], m[i, j, k-1], m[i, j, k+1]) # (i, j, k+1) w[i, j, k, 4] = compute_component(d_zz[i, j, k], m[i, j, k+1], m[i, j, k-1]) # (i, j+1, k) w[i, j, k, 5] = compute_component(d_yy[i, j, k], m[i, j+1, k], m[i, j-1, k]) # (i+1, j, k) w[i, j, k, 6] = compute_component(d_xx[i, j, k], m[i+1, j, k], m[i-1, j, k]) # (i, j, k) w[i, j, k, 3] = - (w[i, j, k, 0] + w[i, j, k, 1] + w[i, j, k, 2] + w[i, j, k, 4] + w[i, j, k, 5] + w[i, j, k, 6]) return w ","Python" "Cell biology","finitewave/Finitewave","finitewave/cpuwave3D/stencil/__init__.py",".py","163","2","from finitewave.cpuwave3D.stencil.asymmetric_stencil_3d import AsymmetricStencil3D from finitewave.cpuwave3D.stencil.isotropic_stencil_3d import IsotropicStencil3D","Python" "Cell biology","finitewave/Finitewave","finitewave/cpuwave3D/stencil/asymmetric_stencil_3d.py",".py","16501","459","import numpy as np from numba import njit, prange from finitewave.cpuwave2D.stencil.asymmetric_stencil_2d import ( AsymmetricStencil2D, major_component, minor_component ) class AsymmetricStencil3D(AsymmetricStencil2D): """""" This class computes the weights for diffusion on a 3D using an asymmetric stencil. The weights are calculated based on the diffusion coefficients and the fibers orientations. The stencil includes 19 points: the central point and the 18 neighbors. The boundary conditions are Neumann with first- order approximation. Notes ----- The diffusion coefficients are general and should be adjusted according to the specific model. The parameters ``D_ac``, ``D_al`` only set the ratios between longitudinal and cross-sectional diffusion. The method assumes weights being used in the following order: ``w[i, j, k, 0] : (i-1, j-1, k)``, ``w[i, j, k, 1] : (i-1, j, k)``, ``w[i, j, k, 2] : (i-1, j+1, k)``, ``w[i, j, k, 3] : (i, j-1, k)``, ``w[i, j, k, 4] : (i, j, k)``, ``w[i, j, k, 5] : (i, j+1, k)``, ``w[i, j, k, 6] : (i+1, j-1, k)``, ``w[i, j, k, 7] : (i+1, j, k)``, ``w[i, j, k, 8] : (i+1, j+1, k)``, ``w[i, j, k, 9] : (i, j-1, k-1)``, ``w[i, j, k, 10] : (i, j-1, k+1)``, ``w[i, j, k, 11] : (i, j, k-1)``, ``w[i, j, k, 12] : (i, j, k+1)``, ``w[i, j, k, 13] : (i, j+1, k-1)``, ``w[i, j, k, 14] : (i, j+1, k+1)``, ``w[i, j, k, 15] : (i-1, j, k-1)``, ``w[i, j, k, 16] : (i+1, j, k-1)``, ``w[i, j, k, 17] : (i-1, j, k+1)``, ``w[i, j, k, 18] : (i+1, j, k+1)``. """""" def __init__(self): super().__init__() def select_diffusion_kernel(self): """""" Selects the diffusion kernel for 3D diffusion. Returns ------- function The diffusion kernel for 3D diffusion. """""" return diffusion_kernel_3d_aniso def compute_weights(self, model, cardiac_tissue): """""" Computes the weights for diffusion on a 3D mesh using an asymmetric stencil. Parameters ---------- model : CardiacModel3D A model object containing the simulation parameters. cardiac_tissue : CardiacTissue3D A 3D cardiac tissue object. Returns ------- np.ndarray Array of weights for diffusion, with the shape of (*mesh.shape, 19) """""" mesh = cardiac_tissue.mesh.copy() mesh[mesh != 1] = 0 conductivity = cardiac_tissue.conductivity conductivity = conductivity * np.ones_like(mesh, dtype=model.npfloat) fibers = cardiac_tissue.fibers if fibers is None: message = ""Fibers must be provided for anisotropic diffusion."" raise ValueError(message) d_xx, d_xy, d_xz = self.compute_half_step_diffusion(mesh, conductivity, fibers, 0, num_axes=3) d_yx, d_yy, d_yz = self.compute_half_step_diffusion(mesh, conductivity, fibers, 1, num_axes=3) d_zx, d_zy, d_zz = self.compute_half_step_diffusion(mesh, conductivity, fibers, 2, num_axes=3) weights = np.zeros((*mesh.shape, 19), dtype=model.npfloat) weights = compute_weights(weights, mesh, d_xx, d_xy, d_xz, d_yx, d_yy, d_yz, d_zx, d_zy, d_zz) weights = weights * model.D_model * model.dt / model.dr**2 weights[:, :, :, 4] += 1 return weights @njit(parallel=True) def diffusion_kernel_3d_aniso(u_new, u, w, indexes): """""" Performs anisotropic diffusion on a 3D grid. Parameters ---------- u_new : numpy.ndarray A 3D array to store the updated potential values after diffusion. u : numpy.ndarray A 3D array representing the current potential values before diffusion. w : numpy.ndarray Array of weights for diffusion, with the shape of (*mesh.shape, 19). mesh : numpy.ndarray Array representing the mesh of the tissue. Returns ------- np.ndarray The updated potential values after diffusion. """""" n_j = u.shape[1] n_k = u.shape[2] for ind in prange(len(indexes)): ii = indexes[ind] i = ii//(n_j*n_k) j = (ii % (n_j*n_k))//n_k k = (ii % (n_j*n_k)) % n_k u_new[i, j, k] = (u[i-1, j-1, k] * w[i, j, k, 0] + u[i-1, j, k] * w[i, j, k, 1] + u[i-1, j+1, k] * w[i, j, k, 2] + u[i, j-1, k] * w[i, j, k, 3] + u[i, j, k] * w[i, j, k, 4] + u[i, j+1, k] * w[i, j, k, 5] + u[i+1, j-1, k] * w[i, j, k, 6] + u[i+1, j, k] * w[i, j, k, 7] + u[i+1, j+1, k] * w[i, j, k, 8] + u[i, j-1, k-1] * w[i, j, k, 9] + u[i, j-1, k+1] * w[i, j, k, 10] + u[i, j, k-1] * w[i, j, k, 11] + u[i, j, k+1] * w[i, j, k, 12] + u[i, j+1, k-1] * w[i, j, k, 13] + u[i, j+1, k+1] * w[i, j, k, 14] + u[i-1, j, k-1] * w[i, j, k, 15] + u[i+1, j, k-1] * w[i, j, k, 16] + u[i-1, j, k+1] * w[i, j, k, 17] + u[i+1, j, k+1] * w[i, j, k, 18]) return u_new @njit def compute_weights(w, m, d_xx, d_xy, d_xz, d_yx, d_yy, d_yz, d_zx, d_zy, d_zz): """""" Computes the weights for diffusion on a 3D mesh using an asymmetric stencil. Parameters ---------- w : np.ndarray 4D array of weights for diffusion, with the shape of (*mesh.shape, 19). m : np.ndarray 3D array representing the mesh grid of the tissue. Non-tissue areas are set to 0. d_xx : np.ndarray 3D array of half-step diffusion x-components in the x-direction. d_xy : np.ndarray 3D array of half-step diffusion y-components in the x-direction. d_xz : np.ndarray 3D array of half-step diffusion z-components in the x-direction. d_yx : np.ndarray 3D array of half-step diffusion x-components in the y-direction. d_yy : np.ndarray 3D array of half-step diffusion y-components in the y-direction. d_yz : np.ndarray 3D array of half-step diffusion z-components in the y-direction. d_zx : np.ndarray 3D array of half-step diffusion x-components in the z-direction. d_zy : np.ndarray 3D array of half-step diffusion y-components in the z-direction. d_zz : np.ndarray 3D array of half-step diffusion z-components in the z-direction. Returns ------- np.ndarray 4D array of weights for diffusion, with the shape of (*mesh.shape, 9). """""" n_i = m.shape[0] n_j = m.shape[1] n_k = m.shape[2] for ii in prange(n_i*n_j*n_k): i = ii//(n_j*n_k) j = (ii % (n_j*n_k))//n_k k = (ii % (n_j*n_k)) % n_k if m[i, j, k] != 1: continue # q (i-1/2, j, k) qx0_major = major_component(d_xx[i-1, j, k], m[i-1, j, k]) # (i-1, j, k) w[i, j, k, 1] += qx0_major # (i, j, k) w[i, j, k, 4] -= qx0_major qx0_xy_minor = minor_component(d_xy[i-1, j, k], m[i-1, j-1, k], m[i, j-1, k], m[i-1, j, k], m[i, j, k], m[i-1, j+1, k], m[i, j+1, k]) # (i-1, j-1, k) w[i, j, k, 0] -= qx0_xy_minor[0] # (i, j-1, k) w[i, j, k, 3] -= qx0_xy_minor[1] # (i-1, j, k) w[i, j, k, 1] -= qx0_xy_minor[2] # (i, j, k) w[i, j, k, 4] -= qx0_xy_minor[3] # (i-1, j+1, k) w[i, j, k, 2] -= qx0_xy_minor[4] # (i, j+1, k) w[i, j, k, 5] -= qx0_xy_minor[5] qx0_xz_minor = minor_component(d_xz[i-1, j, k], m[i-1, j, k-1], m[i, j, k-1], m[i-1, j, k], m[i, j, k], m[i-1, j, k+1], m[i, j, k+1]) # (i-1, j, k-1) w[i, j, k, 15] -= qx0_xz_minor[0] # (i, j, k-1) w[i, j, k, 11] -= qx0_xz_minor[1] # (i-1, j, k) w[i, j, k, 1] -= qx0_xz_minor[2] # (i, j, k) w[i, j, k, 4] -= qx0_xz_minor[3] # (i-1, j, k+1) w[i, j, k, 17] -= qx0_xz_minor[4] # (i, j, k+1) w[i, j, k, 12] -= qx0_xz_minor[5] # q (i+1/2, j, k) qx1_major = major_component(d_xx[i, j, k], m[i+1, j, k]) # (i+1, j, k) w[i, j, k, 7] += qx1_major # (i, j, k) w[i, j, k, 4] -= qx1_major qx1_xy_minor = minor_component(d_xy[i, j, k], m[i+1, j-1, k], m[i, j-1, k], m[i+1, j, k], m[i, j, k], m[i+1, j+1, k], m[i, j+1, k]) # (i+1, j-1, k) w[i, j, k, 6] += qx1_xy_minor[0] # (i, j-1, k) w[i, j, k, 3] += qx1_xy_minor[1] # (i+1, j, k) w[i, j, k, 7] += qx1_xy_minor[2] # (i, j, k) w[i, j, k, 4] += qx1_xy_minor[3] # (i+1, j+1, k) w[i, j, k, 8] += qx1_xy_minor[4] # (i, j+1, k) w[i, j, k, 5] += qx1_xy_minor[5] qx1_xz_minor = minor_component(d_xz[i, j, k], m[i+1, j, k-1], m[i, j, k-1], m[i+1, j, k], m[i, j, k], m[i+1, j, k+1], m[i, j, k+1]) # (i+1, j, k-1) w[i, j, k, 16] += qx1_xz_minor[0] # (i, j, k-1) w[i, j, k, 11] += qx1_xz_minor[1] # (i+1, j, k) w[i, j, k, 7] += qx1_xz_minor[2] # (i, j, k) w[i, j, k, 4] += qx1_xz_minor[3] # (i+1, j, k+1) w[i, j, k, 18] += qx1_xz_minor[4] # (i, j, k+1) w[i, j, k, 12] += qx1_xz_minor[5] # q (i, j-1/2, k) qy0_major = major_component(d_yy[i, j-1, k], m[i, j-1, k]) # (i, j-1, k) w[i, j, k, 3] += qy0_major # (i, j, k) w[i, j, k, 4] -= qy0_major qy0_yx_minor = minor_component(d_yx[i, j-1, k], m[i-1, j-1, k], m[i-1, j, k], m[i, j-1, k], m[i, j, k], m[i+1, j-1, k], m[i+1, j, k]) # (i-1, j-1, k) w[i, j, k, 0] -= qy0_yx_minor[0] # (i-1, j, k) w[i, j, k, 1] -= qy0_yx_minor[1] # (i, j-1, k) w[i, j, k, 3] -= qy0_yx_minor[2] # (i, j, k) w[i, j, k, 4] -= qy0_yx_minor[3] # (i+1, j-1, k) w[i, j, k, 6] -= qy0_yx_minor[4] # (i+1, j, k) w[i, j, k, 7] -= qy0_yx_minor[5] qy0_yz_minor = minor_component(d_yz[i, j-1, k], m[i, j-1, k-1], m[i, j, k-1], m[i, j-1, k], m[i, j, k], m[i, j-1, k+1], m[i, j, k+1]) # (i, j-1, k-1) w[i, j, k, 9] -= qy0_yz_minor[0] # (i, j, k-1) w[i, j, k, 11] -= qy0_yz_minor[1] # (i, j-1, k) w[i, j, k, 3] -= qy0_yz_minor[2] # (i, j, k) w[i, j, k, 4] -= qy0_yz_minor[3] # (i, j-1, k+1) w[i, j, k, 10] -= qy0_yz_minor[4] # (i, j, k+1) w[i, j, k, 12] -= qy0_yz_minor[5] # q (i, j+1/2, k) qy1_major = major_component(d_yy[i, j, k], m[i, j+1, k]) # (i, j+1, k) w[i, j, k, 5] += qy1_major # (i, j, k) w[i, j, k, 4] -= qy1_major qy1_yx_minor = minor_component(d_yx[i, j, k], m[i-1, j+1, k], m[i-1, j, k], m[i, j+1, k], m[i, j, k], m[i+1, j+1, k], m[i+1, j, k]) # (i-1, j+1, k) w[i, j, k, 2] += qy1_yx_minor[0] # (i-1, j, k) w[i, j, k, 1] += qy1_yx_minor[1] # (i, j+1, k) w[i, j, k, 5] += qy1_yx_minor[2] # (i, j, k) w[i, j, k, 4] += qy1_yx_minor[3] # (i+1, j+1, k) w[i, j, k, 8] += qy1_yx_minor[4] # (i+1, j, k) w[i, j, k, 7] += qy1_yx_minor[5] qy1_yz_minor = minor_component(d_yz[i, j, k], m[i, j+1, k-1], m[i, j, k-1], m[i, j+1, k], m[i, j, k], m[i, j+1, k+1], m[i, j, k+1]) # (i, j+1, k-1) w[i, j, k, 13] += qy1_yz_minor[0] # (i, j, k-1) w[i, j, k, 11] += qy1_yz_minor[1] # (i, j+1, k) w[i, j, k, 5] += qy1_yz_minor[2] # (i, j, k) w[i, j, k, 4] += qy1_yz_minor[3] # (i, j+1, k+1) w[i, j, k, 14] += qy1_yz_minor[4] # (i, j, k+1) w[i, j, k, 12] += qy1_yz_minor[5] # q (i, j, k-1/2) qz0_major = major_component(d_zz[i, j, k-1], m[i, j, k-1]) # (i, j, k-1) w[i, j, k, 11] += qz0_major # (i, j, k) w[i, j, k, 4] -= qz0_major qz0_zx_minor = minor_component(d_zx[i, j, k-1], m[i-1, j, k-1], m[i-1, j, k], m[i, j, k-1], m[i, j, k], m[i+1, j, k-1], m[i+1, j, k]) # (i-1, j, k-1) w[i, j, k, 15] -= qz0_zx_minor[0] # (i-1, j, k) w[i, j, k, 1] -= qz0_zx_minor[1] # (i, j, k-1) w[i, j, k, 11] -= qz0_zx_minor[2] # (i, j, k) w[i, j, k, 4] -= qz0_zx_minor[3] # (i+1, j, k-1) w[i, j, k, 16] -= qz0_zx_minor[4] # (i+1, j, k) w[i, j, k, 7] -= qz0_zx_minor[5] qz0_zy_minor = minor_component(d_zy[i, j, k-1], m[i, j-1, k-1], m[i, j-1, k], m[i, j, k-1], m[i, j, k], m[i, j+1, k-1], m[i, j+1, k]) # (i, j-1, k-1) w[i, j, k, 9] -= qz0_zy_minor[0] # (i, j-1, k) w[i, j, k, 3] -= qz0_zy_minor[1] # (i, j, k-1) w[i, j, k, 11] -= qz0_zy_minor[2] # (i, j, k) w[i, j, k, 4] -= qz0_zy_minor[3] # (i, j+1, k-1) w[i, j, k, 13] -= qz0_zy_minor[4] # (i, j+1, k) w[i, j, k, 5] -= qz0_zy_minor[5] # q (i, j, k+1/2) qz1_major = major_component(d_zz[i, j, k], m[i, j, k+1]) # (i, j, k+1) w[i, j, k, 12] += qz1_major # (i, j, k) w[i, j, k, 4] -= qz1_major qz1_zx_minor = minor_component(d_zx[i, j, k], m[i-1, j, k+1], m[i-1, j, k], m[i, j, k+1], m[i, j, k], m[i+1, j, k+1], m[i+1, j, k]) # (i-1, j, k+1) w[i, j, k, 17] += qz1_zx_minor[0] # (i-1, j, k) w[i, j, k, 1] += qz1_zx_minor[1] # (i, j, k+1) w[i, j, k, 12] += qz1_zx_minor[2] # (i, j, k) w[i, j, k, 4] += qz1_zx_minor[3] # (i+1, j, k+1) w[i, j, k, 18] += qz1_zx_minor[4] # (i+1, j, k) w[i, j, k, 7] += qz1_zx_minor[5] qz1_zy_minor = minor_component(d_zy[i, j, k], m[i, j-1, k+1], m[i, j-1, k], m[i, j, k+1], m[i, j, k], m[i, j+1, k+1], m[i, j+1, k]) # (i, j-1, k+1) w[i, j, k, 10] += qz1_zy_minor[0] # (i, j-1, k) w[i, j, k, 3] += qz1_zy_minor[1] # (i, j, k+1) w[i, j, k, 12] += qz1_zy_minor[2] # (i, j, k) w[i, j, k, 4] += qz1_zy_minor[3] # (i, j+1, k+1) w[i, j, k, 14] += qz1_zy_minor[4] # (i, j+1, k) w[i, j, k, 5] += qz1_zy_minor[5] return w ","Python" "Cell biology","finitewave/Finitewave","finitewave/cpuwave3D/fibrosis/diffuse_3d_pattern.py",".py","3386","90","import numpy as np from finitewave.core.fibrosis.fibrosis_pattern import FibrosisPattern class Diffuse3DPattern(FibrosisPattern): """""" A class to generate a diffuse fibrosis pattern in a 3D mesh grid. Attributes ---------- x1, x2 : int The start and end indices for the region of interest along the x-axis. y1, y2 : int The start and end indices for the region of interest along the y-axis. z1, z2 : int The start and end indices for the region of interest along the z-axis. dens : float The density of fibrosis within the specified region, ranging from 0 (no fibrosis) to 1 (full fibrosis). Methods ------- generate(size, mesh=None): Generates a 3D mesh with a diffuse fibrosis pattern within the specified region. """""" def __init__(self, x1, x2, y1, y2, z1, z2, density): """""" Initializes the Diffuse3DPattern object with the given region of interest and density. Parameters ---------- x1, x2 : int The start and end indices for the region of interest along the x-axis. y1, y2 : int The start and end indices for the region of interest along the y-axis. z1, z2 : int The start and end indices for the region of interest along the z-axis. dendensitys : float The density of fibrosis within the specified region. """""" self.x1 = x1 self.x2 = x2 self.y1 = y1 self.y2 = y2 self.z1 = z1 self.z2 = z2 self.density = density def generate(self, shape, mesh=None): """""" Generates a 3D mesh with a diffuse fibrosis pattern within the specified region. If a mesh is provided, the pattern is applied to the existing mesh; otherwise, a new mesh is created. Parameters ---------- shape : tuple of int The size of the 3D mesh grid (x, y, z). mesh : numpy.ndarray, optional A 3D NumPy array representing the existing mesh grid to which the fibrosis pattern will be applied. If None, a new mesh grid of the given size is created. Returns ------- numpy.ndarray A 3D NumPy array of the same shape as the input, with the diffuse fibrosis pattern applied. """""" if shape is None and mesh is None: message = ""Either shape or mesh must be provided."" raise ValueError(message) if shape is not None: mesh = np.ones(shape, dtype=np.int8) fibr = self._generate(mesh.shape) mesh[self.x1: self.x2, self.y1: self.y2, self.z1: self.z2] = fibr[self.x1: self.x2, self.y1: self.y2, self.z1: self.z2] return mesh fibr = self._generate(mesh.shape) mesh[self.x1: self.x2, self.y1: self.y2, self.z1, self.z2] = fibr[self.x1: self.x2, self.y1: self.y2, self.z1: self.z2] return mesh def _generate(self, shape): return 1 + (np.random.random(shape) <= self.density).astype(np.int8) ","Python" "Cell biology","finitewave/Finitewave","finitewave/cpuwave3D/fibrosis/__init__.py",".py","161","2","from finitewave.cpuwave3D.fibrosis.diffuse_3d_pattern import Diffuse3DPattern from finitewave.cpuwave3D.fibrosis.structural_3d_pattern import Structural3DPattern","Python" "Cell biology","finitewave/Finitewave","finitewave/cpuwave3D/fibrosis/structural_3d_pattern.py",".py","4947","127","import numpy as np import random from finitewave.core.fibrosis.fibrosis_pattern import FibrosisPattern class Structural3DPattern(FibrosisPattern): """""" A class to generate a structural fibrosis pattern in a 3D mesh grid. Attributes ---------- x1, x2 : int The start and end indices for the region of interest along the x-axis. y1, y2 : int The start and end indices for the region of interest along the y-axis. z1, z2 : int The start and end indices for the region of interest along the z-axis. dens : float The density of fibrosis within the specified region, ranging from 0 (no fibrosis) to 1 (full fibrosis). length_i, length_j, length_k : int The lengths of fibrosis blocks along each axis (x, y, z). Methods ------- generate(size, mesh=None): Generates a 3D mesh with a structural fibrosis pattern within the specified region. """""" def __init__(self, x1, x2, y1, y2, z1, z2, density, length_i, length_j, length_k): """""" Initializes the Structural3DPattern object with the given region of interest, density, and block sizes. Parameters ---------- x1, x2 : int The start and end indices for the region of interest along the x-axis. y1, y2 : int The start and end indices for the region of interest along the y-axis. z1, z2 : int The start and end indices for the region of interest along the z-axis. density : float The density of fibrosis within the specified region. length_i, length_j, length_k : int The lengths of fibrosis blocks along each axis (x, y, z). """""" self.x1 = x1 self.x2 = x2 self.y1 = y1 self.y2 = y2 self.z1 = z1 self.z2 = z2 self.density = density self.length_i = length_i self.length_j = length_j self.length_k = length_k def generate(self, shape=None, mesh=None): """""" Generates and applies a structural fibrosis pattern to the mesh. The mesh is divided into blocks of size `length_i` x `length_j` x `length_k`, with each block having a probability `density` of being filled with fibrosis. The function ensures that blocks do not extend beyond the specified region. Parameters ---------- shape : tuple The shape of the mesh. mesh : numpy.ndarray, optional The existing mesh to base the pattern on. Default is None.. Returns ------- numpy.ndarray A new mesh array with the applied fibrosis pattern. """""" if shape is None and mesh is None: message = ""Either shape or mesh must be provided."" raise ValueError(message) if shape is not None: mesh = np.ones(shape, dtype=np.int8) fibr = self._generate(mesh.shape) mesh[self.x1: self.x2, self.y1: self.y2, self.z1: self.z2] = fibr[self.x1: self.x2, self.y1: self.y2, self.z1: self.z2] return mesh fibr = self._generate(mesh.shape) mesh[self.x1: self.x2, self.y1: self.y2, self.z1: self.z2] = fibr[self.x1: self.x2, self.y1: self.y2, self.z1: self.z2] return mesh def _generate(self, shape, mesh=None): """""" Generates a 3D mesh with a structural fibrosis pattern within the specified region. If a mesh is provided, the pattern is applied to the existing mesh; otherwise, a new mesh is created. Parameters ---------- shape : tuple of int The shape of the 3D mesh grid (x, y, z). mesh : numpy.ndarray, optional A 3D NumPy array representing the existing mesh grid to which the fibrosis pattern will be applied. If None, a new mesh grid of the given size is created. Returns ------- numpy.ndarray A 3D NumPy array of the same shape as the input, with the structural fibrosis pattern applied. """""" mesh = np.ones(shape, dtype=np.int8) for i in range(self.x1, self.x2, self.length_i): for j in range(self.y1, self.y2, self.length_j): for k in range(self.z1, self.z2, self.length_k): if random.random() <= self.density: i_s = min(self.length_i, self.x2 - i) j_s = min(self.length_j, self.y2 - j) k_s = min(self.length_k, self.z2 - k) mesh[i:i+i_s, j:j+j_s, k:k+k_s] = 2 return mesh ","Python" "Cell biology","finitewave/Finitewave","finitewave/cpuwave3D/tissue/__init__.py",".py","73","1","from finitewave.cpuwave3D.tissue.cardiac_tissue_3d import CardiacTissue3D","Python" "Cell biology","finitewave/Finitewave","finitewave/cpuwave3D/tissue/cardiac_tissue_3d.py",".py","1504","47","import numpy as np from finitewave.core.tissue.cardiac_tissue import CardiacTissue class CardiacTissue3D(CardiacTissue): """""" This class represents a 3D cardiac tissue. Attributes ---------- meta : dict A dictionary containing metadata about the tissue. mesh : np.ndarray A 3D numpy array representing the tissue mesh where each value indicates the type of tissue at that location. Possible values are: ``0`` for non-tissue, ``1`` for healthy tissue, and ``2`` for fibrotic tissue. conductivity : float or np.ndarray The conductivity of the tissue used for reducing the diffusion coefficients. The conductivity should be in the range [0, 1]. fibers : np.ndarray Fibers orientation in the tissue. If None, the isotropic stencil is used. """""" def __init__(self, shape): super().__init__() self.meta[""dim""] = 3 self.meta[""shape""] = shape self.mesh = np.ones(shape, dtype=np.int8) self.conductivity = 1. self.fibers = None def add_boundaries(self): """""" Sets the boundary values of the mesh to zero. The boundaries are defined as the edges of the grid, and this method updates these edges in the mesh array. """""" self.mesh[0, :, :] = 0 self.mesh[:, 0, :] = 0 self.mesh[:, :, 0] = 0 self.mesh[-1, :, :] = 0 self.mesh[:, -1, :] = 0 self.mesh[:, :, -1] = 0 ","Python" "Cell biology","finitewave/Finitewave","examples/tp06_fibrosis_3D_ventricle.py",".py","1661","54"," # # Left ventricle simlation with the Aliev-Panfilov model. # Mesh and fibers were taken from Niderer's data storage (https://zenodo.org/records/3890034) # Fibers were generated with Rule-based algorithm. # Ventricle is stimulated from the apex. from pathlib import Path import numpy as np import pyvista as pv import matplotlib.pyplot as plt import finitewave as fw path = Path(__file__).parent # Load mesh as cubic array mesh = np.load(path.joinpath(""data"", ""mesh.npy"")) tissue = fw.CardiacTissue3D(mesh.shape) # create a mesh of cardiomyocytes (elems = 1): tissue.mesh = mesh # generate 20% of fibrosis in the ventrcile wall: fibrosis_pattern = fw.Diffuse3DPattern(0, mesh.shape[0], 0, mesh.shape[1], 0, mesh.shape[2], 0.20) fibrosis_pattern.generate(tissue.mesh.shape, tissue.mesh) tissue.add_boundaries() # create model object: tp06 = fw.TP063D() # set up numerical parameters: tp06.dt = 0.01 tp06.dr = 0.25 tp06.t_max = 25 # set up stimulation parameters: stim_sequence = fw.StimSequence() stim_sequence.add_stim(fw.StimVoltageCoord3D(0, -20, 0, mesh.shape[0], 0, mesh.shape[0], 0, 30)) # add the tissue and the stim parameters to the model object: tp06.cardiac_tissue = tissue tp06.stim_sequence = stim_sequence # initialize model: compute weights, add stimuls, trackers etc. tp06.run() # show the potential map at the end of calculations # visualize the ventricle in 3D mesh_builder = fw.VisMeshBuilder3D() mesh_grid = mesh_builder.build_mesh(tissue.mesh) mesh_grid = mesh_builder.add_scalar(tp06.u, 'u') mesh_grid.plot(clim=[-80, 30], cmap='viridis') ","Python" "Cell biology","finitewave/Finitewave","examples/stimulation/current_stimulation.py",".py","2585","71",""""""" Using StimCurrentCoord2D for Current-Based Stimulation ======================================================= Overview: --------- This example demonstrates how to apply a current-based stimulus in a 2D cardiac tissue using the `StimCurrentCoord2D` class from Finitewave. Stimulation Setup: ------------------ - The center of the tissue is stimulated with a small square pulse (2×2 nodes). - A current of 18 units is applied for 0.4 at t = 0. - Unlike voltage stimulation, current-based stimulation allows effective excitation of very small regions, which is especially useful for avoiding sink-source mismatch problems in tightly localized areas. Simulation Parameters: ---------------------- - Model: Aliev-Panfilov 2D - Grid size: 200 × 200 - Time step (dt): 0.01 - Space step (dr): 0.25 - Total simulation time: 10 Application: ------------ This example is ideal for understanding how to trigger depolarization waves using current injection. The `StimCurrentCoord2D` class allows flexible control of both current strength and duration, enabling fine-tuned stimulus delivery. """""" import matplotlib.pyplot as plt import finitewave as fw # set up the tissue: n = 200 tissue = fw.CardiacTissue2D([n, n]) # set up stimulation parameters: stim_sequence = fw.StimSequence() # All stimulation object have two types of stimulation: by current and by voltage. # In case of current stimulation, we use two parameters: current strength and duration. # stimulate the center of the tissue with a square pulse (2 nodes on the side) # сurrent stimulation is set by current strength (18) and stimulation duration (0.4 model time units). # Current stimulation allows to bypass the problem of sink-source mismatch # and stimulate even small areas of tissue to start a depolarization wave: stim_sequence.add_stim(fw.StimCurrentCoord2D(time=0, curr_value=18, duration=0.4, x1=n//2 - 1, x2=n//2 + 1, y1=n//2 - 1, y2=n//2 + 1)) # create model object and set up parameters: aliev_panfilov = fw.AlievPanfilov2D() aliev_panfilov.dt = 0.01 aliev_panfilov.dr = 0.25 aliev_panfilov.t_max = 10 # add the tissue and the stim parameters to the model object: aliev_panfilov.cardiac_tissue = tissue aliev_panfilov.stim_sequence = stim_sequence # run the model: aliev_panfilov.run() # show the potential map at the end of calculations: plt.figure() plt.imshow(aliev_panfilov.u) plt.colorbar() plt.show()","Python" "Cell biology","finitewave/Finitewave","examples/stimulation/coordinates_stimulation.py",".py","1069","35","import matplotlib.pyplot as plt import finitewave as fw # set up the tissue: n = 200 tissue = fw.CardiacTissue2D([n, n]) # set up stimulation parameters: stim_sequence = fw.StimSequence() # stimulate the corner of the tissue with a square pulse (10 nodes on the side) # of 1.0 V at t=0. # coordinates are always form a reactangular (slab in 3D) area of stimulation. stim_sequence.add_stim(fw.StimVoltageCoord2D(time=0, volt_value=1.0, x1=0, x2=10, y1=0, y2=10)) # create model object and set up parameters: aliev_panfilov = fw.AlievPanfilov2D() aliev_panfilov.dt = 0.01 aliev_panfilov.dr = 0.25 aliev_panfilov.t_max = 25 # add the tissue and the stim parameters to the model object: aliev_panfilov.cardiac_tissue = tissue aliev_panfilov.stim_sequence = stim_sequence # run the model: aliev_panfilov.run() # show the potential map at the end of calculations: plt.figure() plt.imshow(aliev_panfilov.u) plt.colorbar() plt.show()","Python" "Cell biology","finitewave/Finitewave","examples/stimulation/voltage_stimulation.py",".py","2329","69",""""""" Using StimVoltageCoord in 2D Tissue ===================================== Overview: --------- This example demonstrates how to use the `StimVoltageCoord2D` class in Finitewave to apply a voltage-based stimulus to a rectangular region in a 2D cardiac tissue. Stimulation Setup: ------------------ - The `StimVoltageCoord2D` class is used to define the stimulated region by its coordinates. - A square region (6×6 nodes) at the center of the tissue is stimulated at t = 0 . - The voltage value is set to 1.0, which for the Aliev-Panfilov model corresponds to the peak excitation potential (resting = 0, peak = 1). Simulation Parameters: ---------------------- - Model: Aliev-Panfilov 2D - Grid size: 200 × 200 - Time step (dt): 0.01 - Space step (dr): 0.25 - Total simulation time: 10 Application: ------------ This example is useful for learning how to define spatially localized voltage stimuli in 2D using coordinate-based methods. The `StimVoltageCoord2D` class is particularly useful for applying custom rectangular stimulation zones. """""" import matplotlib.pyplot as plt import finitewave as fw # set up the tissue: n = 200 tissue = fw.CardiacTissue2D([n, n]) # set up stimulation parameters: stim_sequence = fw.StimSequence() # stimulate the center of the tissue with a square pulse (6 nodes on the side) # we use voltage value = 1.0 V at t=0. # The voltage value should be set between the resting potential and the peak potential of # the model to ensure the stimulation is effective. # in case of Aliev-Panfilov model, the resting potential is 0 and the peak potential is 1: stim_sequence.add_stim(fw.StimVoltageCoord2D(time=0, volt_value=1.0, x1=n//2 - 3, x2=n//2 + 3, y1=n//2 - 3, y2=n//2 + 3)) # create model object and set up parameters: aliev_panfilov = fw.AlievPanfilov2D() aliev_panfilov.dt = 0.01 aliev_panfilov.dr = 0.25 aliev_panfilov.t_max = 10 # add the tissue and the stim parameters to the model object: aliev_panfilov.cardiac_tissue = tissue aliev_panfilov.stim_sequence = stim_sequence # run the model: aliev_panfilov.run() # show the potential map at the end of calculations: plt.figure() plt.imshow(aliev_panfilov.u) plt.colorbar() plt.show()","Python" "Cell biology","finitewave/Finitewave","examples/stimulation/sequential_stimulation.py",".py","3138","99",""""""" Sequential Multi-Type Stimulation in 2D Tissue ============================================== Overview: --------- This example demonstrates how to define a sequence of heterogeneous stimuli using different stimulation classes in a single simulation using Finitewave. Stimuli are applied from multiple locations at different times, combining `StimVoltageCoord2D`, `StimCurrentMatrix2D`, and `StimVoltageCoord2D`. Stimulation Setup: ------------------ 1. t = 0: Voltage-based stimulation in the top-left corner (5×5 region). 2. t = 70: Matrix-based *current* stimulation (5×5 region in top-right). 3. t = 140: Voltage-based stimulation in the bottom-right corner (10×10). Simulation Parameters: ---------------------- - Model: Aliev-Panfilov 2D - Grid size: 200 × 200 - Time step (dt): 0.01 - Space step (dr): 0.25 - Total simulation time: 170 Tracking: --------- - Animation tracker records membrane potential (`u`) every 10 steps. - Results are saved to the ""anim_data"" folder and exported as a 2D animation. Application: ------------ This setup is ideal for: - Exploring sequential pacing protocols. - Testing responses to multiple localized perturbations. - Demonstrating how to combine different stimulation methods in a single run. """""" import matplotlib.pyplot as plt import numpy as np import finitewave as fw # set up the tissue: n = 200 tissue = fw.CardiacTissue2D([n, n]) # set up stimulation parameters: stim_sequence = fw.StimSequence() # Here we create a sequence of stimuli from different corners of a square mesh. # The stimulation object in the sequence can be of any type (class). stim_sequence.add_stim( fw.StimVoltageCoord2D(time=0, volt_value=1.0, x1=0, x2=5, y1=0, y2=5) ) stim_matrix = np.full([n, n], False, dtype=bool) stim_matrix[0:5, n-5:n] = True stim_sequence.add_stim( fw.StimCurrentMatrix2D(time=70, curr_value=5, duration=0.6, matrix=stim_matrix) ) stim_sequence.add_stim( fw.StimVoltageCoord2D(time=140, volt_value=0.5, x1=n-10, x2=n, y1=n-10, y2=n) ) # set up tracker parameters: tracker_sequence = fw.TrackerSequence() animation_tracker = fw.Animation2DTracker() animation_tracker.variable_name = ""u"" # Specify the variable to track animation_tracker.dir_name = ""anim_data"" animation_tracker.step = 10 animation_tracker.overwrite = True # Remove existing files in dir_name tracker_sequence.add_tracker(animation_tracker) # create model object and set up parameters: aliev_panfilov = fw.AlievPanfilov2D() aliev_panfilov.dt = 0.01 aliev_panfilov.dr = 0.25 aliev_panfilov.t_max = 170 # add the tissue and the stim parameters to the model object: aliev_panfilov.cardiac_tissue = tissue aliev_panfilov.stim_sequence = stim_sequence aliev_panfilov.tracker_sequence = tracker_sequence # run the model: aliev_panfilov.run() # write animation and clear the snapshot folder animation_tracker.write(shape_scale=5, clear=True, fps=60)","Python" "Cell biology","finitewave/Finitewave","examples/stimulation/3d_stimulation.py",".py","2100","70",""""""" Stimulation in 3D ================================== Overview: --------- This example demonstrates how to apply two opposite planar waves in 3D tissue using: - `StimVoltageCoord3D`: voltage stimulation with spatial bounds (`x1`, `x2`, `y1`, `y2`, `z1`, `z2`) - `StimCurrentMatrix3D`: matrix-based current stimulation with a 3D boolean array. The example highlights that 3D stimulation setup is identical to 2D, with the only difference being the inclusion of the Z-axis (`z1`, `z2` or 3D matrix). Simulation Setup: ----------------- - Tissue: 3D slab (200×200×10) - Stimulus 1: Voltage-based planar wave on the left face at `t=0` - Stimulus 2: Current-based planar wave on the right face at `t=0` - Duration: 10 time units Application: ------------ - Demonstrates stimulation syntax for 3D using both coordinate and matrix methods. - Visualizes resulting voltage (`u`) distribution in 3D using PyVista. """""" import numpy as np import matplotlib.pyplot as plt import pyvista as pv import finitewave as fw # tissue setup nx = 200 ny = 200 nz = 30 tissue = fw.CardiacTissue3D([nx, ny, nz]) tissue.mesh = np.ones((nx, ny, nz), dtype=np.uint8) # stimulus 1: VoltageCoord3D on left face stim_sequence = fw.StimSequence() stim_sequence.add_stim( fw.StimVoltageCoord3D(time=0, volt_value=1.0, x1=0, x2=5, y1=0, y2=ny, z1=0, z2=nz) ) # stimulus 2: CurrentMatrix3D on right face stim_matrix = np.zeros((nx, ny, nz), dtype=bool) stim_matrix[nx - 5:nx, :, :] = True # Right face stim_sequence.add_stim( fw.StimCurrentMatrix3D(time=0, curr_value=10, duration=0.5, matrix=stim_matrix) ) # model setup: model = fw.AlievPanfilov3D() model.dt = 0.01 model.dr = 0.25 model.t_max = 10 model.cardiac_tissue = tissue model.stim_sequence = stim_sequence # run the model: model.run() # visualization with PyVista: mesh_builder = fw.VisMeshBuilder3D() mesh_grid = mesh_builder.build_mesh(tissue.mesh) mesh_grid = mesh_builder.add_scalar(model.u, name='Membrane Potential (u)') mesh_grid.plot(cmap='viridis', clim=[0, 1])","Python" "Cell biology","finitewave/Finitewave","examples/stimulation/matrix_stimulation.py",".py","2277","75",""""""" Matrix-Based Stimulation with StimVoltageMatrix2D ========================================================= Overview: --------- This example demonstrates how to define complex spatial stimulation patterns in 2D cardiac tissue using the `StimVoltageMatrix2D` class in Finitewave. Stimulation Setup: ------------------ - A 2D boolean matrix of the same size as the tissue is used to define the stimulated regions. - Two 10×10 square regions in opposite corners of the tissue are stimulated at t = 0 with 1.0 V voltage. - This flexible approach allows arbitrary spatial patterns and can be generated from images, data arrays, or procedural logic. Simulation Parameters: ---------------------- - Model: Aliev-Panfilov 2D - Grid size: 200 × 200 - Time step (dt): 0.01 - Space step (dr): 0.25 - Total simulation time: 15 Application: ------------ This technique is ideal for: - Designing realistic stimulation setups. - Applying stimuli based on experimental data or anatomical maps. - Studying the effect of spatial heterogeneity in excitation. """""" import numpy as np import matplotlib.pyplot as plt import finitewave as fw # set up the tissue: n = 200 tissue = fw.CardiacTissue2D([n, n]) # set up stimulation parameters: stim_sequence = fw.StimSequence() # stimulate two opposite corners of the tissue with a square pulse (10 nodes on the side) # of 1.0 V at t=0. # we create a 2D boolean matrix of the same size as the tissue # and set the stimulated nodes to True: stimulation_area = np.full([n, n], False, dtype=bool) stimulation_area[0:10, 0:10] = True stimulation_area[n-10:n, n-10:n] = True stim_sequence.add_stim(fw.StimVoltageMatrix2D(time=0, volt_value=1.0, matrix=stimulation_area)) # create model object and set up parameters: aliev_panfilov = fw.AlievPanfilov2D() aliev_panfilov.dt = 0.01 aliev_panfilov.dr = 0.25 aliev_panfilov.t_max = 15 # add the tissue and the stim parameters to the model object: aliev_panfilov.cardiac_tissue = tissue aliev_panfilov.stim_sequence = stim_sequence # run the model: aliev_panfilov.run() # show the potential map at the end of calculations: plt.figure() plt.imshow(aliev_panfilov.u) plt.colorbar() plt.show()","Python" "Cell biology","finitewave/Finitewave","examples/models/3D/aliev_panfilov_3d.py",".py","2002","73",""""""" Running the Aliev-Panfilov Model in 3D ====================================== Overview: --------- This example demonstrates how to run a basic 3D simulation of the Aliev-Panfilov model using the Finitewave framework. Simulation Setup: ----------------- - Tissue Grid: A 100×5×3 cardiac tissue domain. - Stimulation: - A square side stimulus is applied at t = 0. - Time and Space Resolution: - Temporal step (dt): 0.01 - Spatial resolution (dr): 0.25 - Total simulation time (t_max): 50 Execution: ---------- 1. Create a 3D cardiac tissue grid. 2. Apply a stimulus along the upper boundary to initiate excitation. 3. Set up and run the Aliev-Panfilov model. 4. Visualize the transmembrane potential. """""" import numpy as np import matplotlib.pyplot as plt import finitewave as fw # create a tissue: n = 100 m = 5 k = 3 tissue = fw.CardiacTissue3D([n, m, k]) # set up stimulation parameters: stim_sequence = fw.StimSequence() stim_sequence.add_stim(fw.StimVoltageCoord3D(0, 1, 0, 5, 0, m, 0, k)) # create model object and set up parameters: aliev_panfilov = fw.AlievPanfilov3D() aliev_panfilov.dt = 0.01 aliev_panfilov.dr = 0.25 aliev_panfilov.t_max = 50 # add the tissue and the stim parameters to the model object: aliev_panfilov.cardiac_tissue = tissue aliev_panfilov.stim_sequence = stim_sequence tracker_sequence = fw.TrackerSequence() action_pot_tracker = fw.ActionPotential3DTracker() # to specify the mesh node under the measuring - use the cell_ind field: # eather list or list of lists can be used action_pot_tracker.cell_ind = [[50, 3, 1]] action_pot_tracker.step = 1 tracker_sequence.add_tracker(action_pot_tracker) aliev_panfilov.tracker_sequence = tracker_sequence # run the model: aliev_panfilov.run() # plot the action potential plt.figure() time = np.arange(len(action_pot_tracker.output)) * aliev_panfilov.dt plt.plot(time, action_pot_tracker.output, label=""cell_50_3_1"") plt.legend(title='Aliev-Panfilov') plt.title('Action Potential') plt.grid() plt.show() ","Python" "Cell biology","finitewave/Finitewave","examples/models/3D/bueno_orovio_3d.py",".py","2000","74",""""""" Running the Bueno-Orovio Model in 3D ====================================== Overview: --------- This example demonstrates how to run a basic 3D simulation of the Bueno-Orovio model using the Finitewave framework. Simulation Setup: ----------------- - Tissue Grid: A 100×5×3 cardiac tissue domain. - Stimulation: - A square side stimulus is applied at t = 0. - Time and Space Resolution: - Temporal step (dt): 0.01 - Spatial resolution (dr): 0.25 - Total simulation time (t_max): 500 Execution: ---------- 1. Create a 3D cardiac tissue grid. 2. Apply a stimulus along the upper boundary to initiate excitation. 3. Set up and run the Bueno-Orovio model. 4. Visualize the transmembrane potential. """""" import numpy as np import matplotlib.pyplot as plt import finitewave as fw # create a tissue: n = 100 k = 5 m = 3 tissue = fw.CardiacTissue3D([n, m, k]) # set up stimulation parameters: stim_sequence = fw.StimSequence() stim_sequence.add_stim(fw.StimVoltageCoord3D(0, 1, 0, 5, 0, m, 0, k)) # create model object and set up parameters: bueno_orovio = fw.BuenoOrovio3D() bueno_orovio.dt = 0.01 bueno_orovio.dr = 0.25 bueno_orovio.t_max = 500 # add the tissue and the stim parameters to the model object: bueno_orovio.cardiac_tissue = tissue bueno_orovio.stim_sequence = stim_sequence tracker_sequence = fw.TrackerSequence() action_pot_tracker = fw.ActionPotential3DTracker() # to specify the mesh node under the measuring - use the cell_ind field: # eather list or list of lists can be used action_pot_tracker.cell_ind = [[50, 3, 1]] action_pot_tracker.step = 1 tracker_sequence.add_tracker(action_pot_tracker) bueno_orovio.tracker_sequence = tracker_sequence # run the model: bueno_orovio.run() # plot the action potential plt.figure() time = np.arange(len(action_pot_tracker.output)) * bueno_orovio.dt plt.plot(time, action_pot_tracker.output, label=""cell_50_3_1"") plt.legend(title='Bueno-Orovio') plt.xlabel('Time (ms)') plt.title('Action Potential') plt.grid() plt.show() ","Python" "Cell biology","finitewave/Finitewave","examples/models/3D/luo_rudy_3d.py",".py","2113","75",""""""" Running the Luo-Rudy 1991 Model in 3D Cardiac Tissue ==================================================== Overview: --------- This example demonstrates how to run a 3D simulation of the Luo-Rudy 1991 ventricular action potential model using the Finitewave framework. Simulation Setup: ----------------- - Tissue Grid: A 100×5×3 cardiac tissue domain. - Stimulation: - A planar stimulus is applied along the top edge of the domain at t = 0 ms to initiate wavefront propagation. - Time and Space Resolution: - Temporal step (dt): 0.01 ms - Spatial resolution (dr): 0.25 mm - Total simulation time (t_max): 500 ms Execution: ---------- 1. Create a 3D cardiac tissue grid. 2. Apply a stimulus along the upper boundary to initiate excitation. 3. Set up and run the Luo-Rudy 1991 model. 4. Visualize the transmembrane potential. """""" import numpy as np import matplotlib.pyplot as plt import finitewave as fw n = 100 m = 5 k = 3 # create mesh tissue = fw.CardiacTissue3D((n, m, k)) # set up stimulation parameters stim_sequence = fw.StimSequence() stim_sequence.add_stim(fw.StimVoltageCoord3D(0, 1, 0, 5, 0, m, 0, k)) # create model object and set up parameters luo_rudy = fw.LuoRudy913D() luo_rudy.dt = 0.01 luo_rudy.dr = 0.25 luo_rudy.t_max = 500 # add the tissue and the stim parameters to the model object luo_rudy.cardiac_tissue = tissue luo_rudy.stim_sequence = stim_sequence tracker_sequence = fw.TrackerSequence() action_pot_tracker = fw.ActionPotential3DTracker() # to specify the mesh node under the measuring - use the cell_ind field: # eather list or list of lists can be used action_pot_tracker.cell_ind = [[50, 3, 1]] action_pot_tracker.step = 1 tracker_sequence.add_tracker(action_pot_tracker) luo_rudy.tracker_sequence = tracker_sequence # run the model: luo_rudy.run() # plot the action potential plt.figure() time = np.arange(len(action_pot_tracker.output)) * luo_rudy.dt plt.plot(time, action_pot_tracker.output, label=""cell_50_3_1"") plt.legend(title='Luo-Rudy 1991') plt.xlabel('Time (ms)') plt.ylabel('Voltage (mV)') plt.title('Action Potential') plt.grid() plt.show()","Python" "Cell biology","finitewave/Finitewave","examples/models/3D/mitchell_schaeffer_3d.py",".py","2084","74",""""""" Running the Mitchell-Schaeffer Model in 3D ====================================== Overview: --------- This example demonstrates how to run a basic 3D simulation of the Mitchell-Schaeffer model using the Finitewave framework. Simulation Setup: ----------------- - Tissue Grid: A 100×5×3 cardiac tissue domain. - Stimulation: - A square side stimulus is applied at t = 0. - Time and Space Resolution: - Temporal step (dt): 0.01 - Spatial resolution (dr): 0.25 - Total simulation time (t_max): 500 Execution: ---------- 1. Create a 3D cardiac tissue grid. 2. Apply a stimulus along the upper boundary to initiate excitation. 3. Set up and run the Mitchell-Schaeffer model. 4. Visualize the transmembrane potential. """""" import numpy as np import matplotlib.pyplot as plt import finitewave as fw # create a tissue: n = 100 m = 5 k = 3 tissue = fw.CardiacTissue3D([n, m, k]) # set up stimulation parameters: stim_sequence = fw.StimSequence() stim_sequence.add_stim(fw.StimVoltageCoord3D(0, 1, 0, 5, 0, m, 0, k)) # create model object and set up parameters: mitchell_schaeffer = fw.MitchellSchaeffer3D() mitchell_schaeffer.dt = 0.01 mitchell_schaeffer.dr = 0.25 mitchell_schaeffer.t_max = 500 # add the tissue and the stim parameters to the model object: mitchell_schaeffer.cardiac_tissue = tissue mitchell_schaeffer.stim_sequence = stim_sequence tracker_sequence = fw.TrackerSequence() action_pot_tracker = fw.ActionPotential3DTracker() # to specify the mesh node under the measuring - use the cell_ind field: # eather list or list of lists can be used action_pot_tracker.cell_ind = [[50, 3, 1]] action_pot_tracker.step = 1 tracker_sequence.add_tracker(action_pot_tracker) mitchell_schaeffer.tracker_sequence = tracker_sequence # run the model: mitchell_schaeffer.run() # plot the action potential plt.figure() time = np.arange(len(action_pot_tracker.output)) * mitchell_schaeffer.dt plt.plot(time, action_pot_tracker.output, label=""cell_50_3_1"") plt.legend(title='Mitchell-Schaeffer') plt.xlabel('Time (ms)') plt.title('Action Potential') plt.grid() plt.show() ","Python" "Cell biology","finitewave/Finitewave","examples/models/3D/tp06_3d.py",".py","2049","76",""""""" Running the TP06 Model in 3D Cardiac Tissue =========================================== Overview: --------- This example demonstrates how to run a 3D simulation of the ten Tusscher–Panfilov 2006 (TP06) model for ventricular cardiomyocytes using the Finitewave framework. Simulation Setup: ----------------- - Tissue Grid: A 100×5×3 cardiac tissue domain. - Stimulation: - A planar stimulus is applied along the top edge (rows 0 to 5) at t = 0 ms to initiate wave propagation. - Time and Space Resolution: - Temporal step (dt): 0.01 ms - Spatial resolution (dr): 0.25 mm - Total simulation time (t_max): 500 ms Execution: ---------- 1. Create a 3D cardiac tissue grid. 2. Apply a stimulus to initiate excitation. 3. Set up and run the TP06 model. 4. Visualize the membrane potential. """""" import numpy as np import matplotlib.pyplot as plt import finitewave as fw n = 100 m = 5 k = 3 # create mesh tissue = fw.CardiacTissue3D((n, m, k)) # set up stimulation parameters stim_sequence = fw.StimSequence() stim_sequence.add_stim(fw.StimVoltageCoord3D(0, 1, 0, 5, 0, m, 0, k)) # create model object and set up parameters tp06 = fw.TP063D() tp06.dt = 0.01 tp06.dr = 0.25 tp06.t_max = 500 # add the tissue and the stim parameters to the model object tp06.cardiac_tissue = tissue tp06.stim_sequence = stim_sequence tracker_sequence = fw.TrackerSequence() action_pot_tracker = fw.ActionPotential3DTracker() # to specify the mesh node under the measuring - use the cell_ind field: # eather list or list of lists can be used action_pot_tracker.cell_ind = [[50, 3, 1]] action_pot_tracker.step = 1 tracker_sequence.add_tracker(action_pot_tracker) tp06.tracker_sequence = tracker_sequence # run the model: tp06.run() # plot the action potential plt.figure() time = np.arange(len(action_pot_tracker.output)) * tp06.dt plt.plot(time, action_pot_tracker.output, label=""cell_50_3_1"") plt.legend(title='Ten Tusscher-Panfilov 2006') plt.xlabel('Time (ms)') plt.ylabel('Voltage (mV)') plt.title('Action Potential') plt.grid() plt.show()","Python" "Cell biology","finitewave/Finitewave","examples/models/3D/courtemanche_3d.py",".py","2315","79",""""""" Running the Courtemanche Model in 3D Cardiac Tissue ==================================================== Overview: --------- This example demonstrates how to run a 3D simulation of the Courtemanche ventricular action potential model using the Finitewave framework. Simulation Setup: ----------------- - Tissue Grid: A 100×5×3 cardiac tissue domain. - Stimulation: - A planar stimulus is applied along the top edge of the domain at t = 0 ms to initiate wavefront propagation. - Time and Space Resolution: - Temporal step (dt): 0.01 ms - Spatial resolution (dr): 0.25 mm - Total simulation time (t_max): 500 ms Execution: ---------- 1. Create a 3D cardiac tissue grid. 2. Apply a stimulus along the upper boundary to initiate excitation. 3. Set up and run the Courtemanche model. 4. Visualize the transmembrane potential. """""" import numpy as np import matplotlib.pyplot as plt import finitewave as fw n = 100 m = 5 k = 3 # create mesh tissue = fw.CardiacTissue3D((n, m, k)) # set up stimulation parameters stim_sequence = fw.StimSequence() stim_sequence.add_stim(fw.StimVoltageCoord3D(0, 1, 0, 5, 0, m, 0, k)) # create model object and set up parameters courtemanche = fw.Courtemanche3D() courtemanche.dt = 0.01 courtemanche.dr = 0.25 courtemanche.t_max = 500 # Here, we increase g_Kur by a factor of 3 to better match physiological AP shape # with a visible plateau and realistic repolarization. courtemanche.gkur_coeff *= 3 # add the tissue and the stim parameters to the model object courtemanche.cardiac_tissue = tissue courtemanche.stim_sequence = stim_sequence tracker_sequence = fw.TrackerSequence() action_pot_tracker = fw.ActionPotential3DTracker() # to specify the mesh node under the measuring - use the cell_ind field: # eather list or list of lists can be used action_pot_tracker.cell_ind = [[50, 3, 1]] action_pot_tracker.step = 1 tracker_sequence.add_tracker(action_pot_tracker) courtemanche.tracker_sequence = tracker_sequence # run the model: courtemanche.run() # plot the action potential plt.figure() time = np.arange(len(action_pot_tracker.output)) * courtemanche.dt plt.plot(time, action_pot_tracker.output, label=""cell_50_3_1"") plt.legend(title='Courtemanche') plt.xlabel('Time (ms)') plt.ylabel('Voltage (mV)') plt.title('Action Potential') plt.grid() plt.show()","Python" "Cell biology","finitewave/Finitewave","examples/models/3D/barkley_3d.py",".py","1905","73",""""""" Running the Barkley Model in 3D ====================================== Overview: --------- This example demonstrates how to run a basic 3D simulation of the Barkley model using the Finitewave framework. Simulation Setup: ----------------- - Tissue Grid: A 100×5×3 cardiac tissue domain. - Stimulation: - A square side stimulus is applied at t = 0. - Time and Space Resolution: - Temporal step (dt): 0.01 - Spatial resolution (dr): 0.25 - Total simulation time (t_max): 10 Execution: ---------- 1. Create a 3D cardiac tissue grid. 2. Apply a stimulus along the upper boundary to initiate excitation. 3. Set up and run the Barkley model. 4. Visualize the transmembrane potential. """""" import numpy as np import matplotlib.pyplot as plt import finitewave as fw # create a tissue: n = 100 m = 5 k = 3 tissue = fw.CardiacTissue3D([n, m, k]) # set up stimulation parameters: stim_sequence = fw.StimSequence() stim_sequence.add_stim(fw.StimVoltageCoord3D(0, 1, 0, 5, 0, m, 0, k)) # create model object and set up parameters: barkley = fw.Barkley3D() barkley.dt = 0.01 barkley.dr = 0.25 barkley.t_max = 10 # add the tissue and the stim parameters to the model object: barkley.cardiac_tissue = tissue barkley.stim_sequence = stim_sequence tracker_sequence = fw.TrackerSequence() action_pot_tracker = fw.ActionPotential3DTracker() # to specify the mesh node under the measuring - use the cell_ind field: # eather list or list of lists can be used action_pot_tracker.cell_ind = [[50, 3, 1]] action_pot_tracker.step = 1 tracker_sequence.add_tracker(action_pot_tracker) barkley.tracker_sequence = tracker_sequence # run the model: barkley.run() # plot the action potential plt.figure() time = np.arange(len(action_pot_tracker.output)) * barkley.dt plt.plot(time, action_pot_tracker.output, label=""cell_50_3_1"") plt.legend(title='Barkley') plt.title('Action Potential') plt.grid() plt.show() ","Python" "Cell biology","finitewave/Finitewave","examples/models/3D/fenton_karma_3d.py",".py","1999","73",""""""" Running the Fentom-Karma Model in 3D ====================================== Overview: --------- This example demonstrates how to run a basic 3D simulation of the Fentom-Karma model using the Finitewave framework. Simulation Setup: ----------------- - Tissue Grid: A 100×5×3 cardiac tissue domain. - Stimulation: - A square side stimulus is applied at t = 0. - Time and Space Resolution: - Temporal step (dt): 0.01 - Spatial resolution (dr): 0.25 - Total simulation time (t_max): 500 Execution: ---------- 1. Create a 3D cardiac tissue grid. 2. Apply a stimulus along the upper boundary to initiate excitation. 3. Set up and run the Fentom-Karma model. 4. Visualize the transmembrane potential. """""" import numpy as np import matplotlib.pyplot as plt import finitewave as fw # create a tissue: n = 100 m = 5 k = 3 tissue = fw.CardiacTissue3D([n, m, k]) # set up stimulation parameters: stim_sequence = fw.StimSequence() stim_sequence.add_stim(fw.StimVoltageCoord3D(0, 1, 0, 5, 0, m, 0, k)) # create model object and set up parameters: fentom_karma = fw.FentonKarma3D() fentom_karma.dt = 0.01 fentom_karma.dr = 0.25 fentom_karma.t_max = 500 # add the tissue and the stim parameters to the model object: fentom_karma.cardiac_tissue = tissue fentom_karma.stim_sequence = stim_sequence tracker_sequence = fw.TrackerSequence() action_pot_tracker = fw.ActionPotential3DTracker() # to specify the mesh node under the measuring - use the cell_ind field: # eather list or list of lists can be used action_pot_tracker.cell_ind = [[50, 3, 1]] action_pot_tracker.step = 1 tracker_sequence.add_tracker(action_pot_tracker) fentom_karma.tracker_sequence = tracker_sequence # run the model: fentom_karma.run() # plot the action potential plt.figure() time = np.arange(len(action_pot_tracker.output)) * fentom_karma.dt plt.plot(time, action_pot_tracker.output, label=""cell_50_3_1"") plt.legend(title='Fentom-Karma') plt.xlabel('Time (ms)') plt.title('Action Potential') plt.grid() plt.show()","Python" "Cell biology","finitewave/Finitewave","examples/models/2D/fenton_karma_2d.py",".py","1977","73",""""""" Running the Fentom-Karma Model in 2D ====================================== Overview: --------- This example demonstrates how to run a basic 2D simulation of the Fentom-Karma model using the Finitewave framework. Simulation Setup: ----------------- - Tissue Grid: A 100×5 cardiac tissue domain. - Stimulation: - A square side stimulus is applied at t = 0. - Time and Space Resolution: - Temporal step (dt): 0.01 - Spatial resolution (dr): 0.25 - Total simulation time (t_max): 500 Execution: ---------- 1. Create a 2D cardiac tissue grid. 2. Apply a stimulus along the upper boundary to initiate excitation. 3. Set up and run the Fentom-Karma model. 4. Visualize the transmembrane potential. """""" import numpy as np import matplotlib.pyplot as plt import finitewave as fw # create a tissue: n = 100 m = 5 tissue = fw.CardiacTissue2D([n, m]) # set up stimulation parameters: stim_sequence = fw.StimSequence() stim_sequence.add_stim(fw.StimVoltageCoord2D(0, 1, 0, 5, 0, m)) # create model object and set up parameters: fentom_karma = fw.FentonKarma2D() fentom_karma.dt = 0.01 fentom_karma.dr = 0.25 fentom_karma.t_max = 500 # add the tissue and the stim parameters to the model object: fentom_karma.cardiac_tissue = tissue fentom_karma.stim_sequence = stim_sequence tracker_sequence = fw.TrackerSequence() action_pot_tracker = fw.ActionPotential2DTracker() # to specify the mesh node under the measuring - use the cell_ind field: # eather list or list of lists can be used action_pot_tracker.cell_ind = [[50, 3]] action_pot_tracker.step = 1 tracker_sequence.add_tracker(action_pot_tracker) fentom_karma.tracker_sequence = tracker_sequence # run the model: fentom_karma.run() # plot the action potential plt.figure() time = np.arange(len(action_pot_tracker.output)) * fentom_karma.dt plt.plot(time, action_pot_tracker.output, label=""cell_50_3"") plt.legend(title='Fenton-Karma') plt.xlabel('Time (ms)') plt.title('Action Potential') plt.grid() plt.show() ","Python" "Cell biology","finitewave/Finitewave","examples/models/2D/barkley_2d.py",".py","2251","86",""""""" Running the Barkley Model in 2D ====================================== Overview: --------- This example demonstrates how to run a basic 2D simulation of the Barkley model using the Finitewave framework. Simulation Setup: ----------------- - Tissue Grid: A 100×5 cardiac tissue domain. - Stimulation: - A square side stimulus is applied at t = 0. - Time and Space Resolution: - Temporal step (dt): 0.01 - Spatial resolution (dr): 0.25 - Total simulation time (t_max): 10 Execution: ---------- 1. Create a 2D cardiac tissue grid. 2. Apply a stimulus along the upper boundary to initiate excitation. 3. Set up and run the Barkley model. 4. Visualize the transmembrane potential. """""" import numpy as np import matplotlib.pyplot as plt import finitewave as fw # create a tissue: n = 100 m = 5 tissue = fw.CardiacTissue2D([n, m]) # set up stimulation parameters: stim_sequence = fw.StimSequence() stim_sequence.add_stim(fw.StimVoltageCoord2D(0, 1, 0, 5, 0, m)) # create model object and set up parameters: barkley = fw.Barkley2D() barkley.dt = 0.01 barkley.dr = 0.25 barkley.t_max = 10 # add the tissue and the stim parameters to the model object: barkley.cardiac_tissue = tissue barkley.stim_sequence = stim_sequence tracker_sequence = fw.TrackerSequence() # add the variable tracker: multivariable_tracker = fw.MultiVariable2DTracker() # to specify the mesh node under the measuring - use the cell_ind field: multivariable_tracker.cell_ind = [50, 3] multivariable_tracker.var_list = [""u"", ""v""] tracker_sequence.add_tracker(multivariable_tracker) barkley.tracker_sequence = tracker_sequence # run the model: barkley.run() # plot the action potential plt.figure(figsize=(10, 5)) # Subplot 1: Phase plot (u vs v) plt.subplot(1, 2, 1) plt.plot(multivariable_tracker.output[""u""], multivariable_tracker.output[""v""], label=""cell_50_3"") plt.legend(title='Barkley') plt.title('Phase (u vs v)') plt.xlabel('u') plt.ylabel('v') plt.grid() # Subplot 2: Time vs u plt.subplot(1, 2, 2) time = np.arange(len(multivariable_tracker.output[""u""])) * barkley.dt plt.plot(time, multivariable_tracker.output[""u""], label=""cell_50_3"") plt.legend(title='Barkley') plt.title('Action potential') plt.xlabel('Time') plt.ylabel('u') plt.grid() plt.show()","Python" "Cell biology","finitewave/Finitewave","examples/models/2D/tp06_2d.py",".py","2026","75",""""""" Running the TP06 Model in 2D Cardiac Tissue =========================================== Overview: --------- This example demonstrates how to run a 2D simulation of the ten Tusscher–Panfilov 2006 (TP06) model for ventricular cardiomyocytes using the Finitewave framework. Simulation Setup: ----------------- - Tissue Grid: A 100×5 cardiac tissue domain. - Stimulation: - A planar stimulus is applied along the top edge (rows 0 to 5) at t = 0 ms to initiate wave propagation. - Time and Space Resolution: - Temporal step (dt): 0.01 ms - Spatial resolution (dr): 0.25 mm - Total simulation time (t_max): 500 ms Execution: ---------- 1. Create a 2D cardiac tissue grid. 2. Apply a stimulus to initiate excitation. 3. Set up and run the TP06 model. 4. Visualize the membrane potential. """""" import numpy as np import matplotlib.pyplot as plt import finitewave as fw n = 100 m = 5 # create mesh tissue = fw.CardiacTissue2D((n, m)) # set up stimulation parameters stim_sequence = fw.StimSequence() stim_sequence.add_stim(fw.StimVoltageCoord2D(0, 1, 0, 5, 0, m)) # create model object and set up parameters tp06 = fw.TP062D() tp06.dt = 0.01 tp06.dr = 0.25 tp06.t_max = 500 # add the tissue and the stim parameters to the model object tp06.cardiac_tissue = tissue tp06.stim_sequence = stim_sequence tracker_sequence = fw.TrackerSequence() action_pot_tracker = fw.ActionPotential2DTracker() # to specify the mesh node under the measuring - use the cell_ind field: # eather list or list of lists can be used action_pot_tracker.cell_ind = [[50, 3]] action_pot_tracker.step = 1 tracker_sequence.add_tracker(action_pot_tracker) tp06.tracker_sequence = tracker_sequence # run the model: tp06.run() # plot the action potential plt.figure() time = np.arange(len(action_pot_tracker.output)) * tp06.dt plt.plot(time, action_pot_tracker.output, label=""cell_50_3"") plt.legend(title='Ten Tusscher-Panfilov 2006') plt.xlabel('Time (ms)') plt.ylabel('Voltage (mV)') plt.title('Action Potential') plt.grid() plt.show()","Python" "Cell biology","finitewave/Finitewave","examples/models/2D/aliev_panfilov_2d.py",".py","1979","72",""""""" Running the Aliev-Panfilov Model in 2D ====================================== Overview: --------- This example demonstrates how to run a basic 2D simulation of the Aliev-Panfilov model using the Finitewave framework. Simulation Setup: ----------------- - Tissue Grid: A 100×5 cardiac tissue domain. - Stimulation: - A square side stimulus is applied at t = 0. - Time and Space Resolution: - Temporal step (dt): 0.01 - Spatial resolution (dr): 0.25 - Total simulation time (t_max): 50 Execution: ---------- 1. Create a 2D cardiac tissue grid. 2. Apply a stimulus along the upper boundary to initiate excitation. 3. Set up and run the Aliev-Panfilov model. 4. Visualize the transmembrane potential. """""" import numpy as np import matplotlib.pyplot as plt import finitewave as fw # create a tissue: n = 100 m = 5 tissue = fw.CardiacTissue2D([n, m]) # set up stimulation parameters: stim_sequence = fw.StimSequence() stim_sequence.add_stim(fw.StimVoltageCoord2D(0, 1, 0, 5, 0, m)) # create model object and set up parameters: aliev_panfilov = fw.AlievPanfilov2D() aliev_panfilov.dt = 0.01 aliev_panfilov.dr = 0.25 aliev_panfilov.t_max = 50 # add the tissue and the stim parameters to the model object: aliev_panfilov.cardiac_tissue = tissue aliev_panfilov.stim_sequence = stim_sequence tracker_sequence = fw.TrackerSequence() action_pot_tracker = fw.ActionPotential2DTracker() # to specify the mesh node under the measuring - use the cell_ind field: # eather list or list of lists can be used action_pot_tracker.cell_ind = [[50, 3]] action_pot_tracker.step = 1 tracker_sequence.add_tracker(action_pot_tracker) aliev_panfilov.tracker_sequence = tracker_sequence # run the model: aliev_panfilov.run() # plot the action potential plt.figure() time = np.arange(len(action_pot_tracker.output)) * aliev_panfilov.dt plt.plot(time, action_pot_tracker.output, label=""cell_50_3"") plt.legend(title='Aliev-Panfilov') plt.title('Action Potential') plt.grid() plt.show() ","Python" "Cell biology","finitewave/Finitewave","examples/models/2D/mitchell_schaeffer_2d.py",".py","2061","73",""""""" Running the Mitchell-Schaeffer Model in 2D ====================================== Overview: --------- This example demonstrates how to run a basic 2D simulation of the Mitchell-Schaeffer model using the Finitewave framework. Simulation Setup: ----------------- - Tissue Grid: A 100×5 cardiac tissue domain. - Stimulation: - A square side stimulus is applied at t = 0. - Time and Space Resolution: - Temporal step (dt): 0.01 - Spatial resolution (dr): 0.25 - Total simulation time (t_max): 500 Execution: ---------- 1. Create a 2D cardiac tissue grid. 2. Apply a stimulus along the upper boundary to initiate excitation. 3. Set up and run the Mitchell-Schaeffer model. 4. Visualize the transmembrane potential. """""" import numpy as np import matplotlib.pyplot as plt import finitewave as fw # create a tissue: n = 100 m = 5 tissue = fw.CardiacTissue2D([n, m]) # set up stimulation parameters: stim_sequence = fw.StimSequence() stim_sequence.add_stim(fw.StimVoltageCoord2D(0, 1, 0, 5, 0, m)) # create model object and set up parameters: mitchell_schaeffer = fw.MitchellSchaeffer2D() mitchell_schaeffer.dt = 0.01 mitchell_schaeffer.dr = 0.25 mitchell_schaeffer.t_max = 500 # add the tissue and the stim parameters to the model object: mitchell_schaeffer.cardiac_tissue = tissue mitchell_schaeffer.stim_sequence = stim_sequence tracker_sequence = fw.TrackerSequence() action_pot_tracker = fw.ActionPotential2DTracker() # to specify the mesh node under the measuring - use the cell_ind field: # eather list or list of lists can be used action_pot_tracker.cell_ind = [[50, 3]] action_pot_tracker.step = 1 tracker_sequence.add_tracker(action_pot_tracker) mitchell_schaeffer.tracker_sequence = tracker_sequence # run the model: mitchell_schaeffer.run() # plot the action potential plt.figure() time = np.arange(len(action_pot_tracker.output)) * mitchell_schaeffer.dt plt.plot(time, action_pot_tracker.output, label=""cell_50_3"") plt.legend(title='Mitchell-Schaeffer') plt.xlabel('Time (ms)') plt.title('Action Potential') plt.grid() plt.show() ","Python" "Cell biology","finitewave/Finitewave","examples/models/2D/courtemanche_2d.py",".py","2239","79",""""""" Running the Courtemanche Model in 2D Cardiac Tissue =========================================== Overview: --------- This example demonstrates how to run a 2D simulation of the Courtemanche model for atrial cardiomyocytes using the Finitewave framework. Simulation Setup: ----------------- - Tissue Grid: A 100×5 cardiac tissue domain. - Stimulation: - A planar stimulus is applied along the top edge (rows 0 to 5) at t = 0 ms to initiate wave propagation. - Time and Space Resolution: - Temporal step (dt): 0.01 ms - Spatial resolution (dr): 0.25 mm - Total simulation time (t_max): 500 ms Execution: ---------- 1. Create a 2D cardiac tissue grid. 2. Apply a stimulus to initiate excitation. 3. Set up and run the TP06 model. 4. Visualize the membrane potential. """""" import numpy as np import matplotlib.pyplot as plt import finitewave as fw n = 100 m = 5 # create mesh tissue = fw.CardiacTissue2D((n, m)) # set up stimulation parameters stim_sequence = fw.StimSequence() stim_sequence.add_stim(fw.StimVoltageCoord2D(0, 1, 0, 5, 0, m)) # create model object and set up parameters courtemanche = fw.Courtemanche2D() courtemanche.dt = 0.01 courtemanche.dr = 0.25 courtemanche.t_max = 500 # Here, we increase g_Kur by a factor of 3 to better match physiological AP shape # with a visible plateau and realistic repolarization. courtemanche.gkur_coeff *= 3 # add the tissue and the stim parameters to the model object courtemanche.cardiac_tissue = tissue courtemanche.stim_sequence = stim_sequence tracker_sequence = fw.TrackerSequence() action_pot_tracker = fw.ActionPotential2DTracker() # to specify the mesh node under the measuring - use the cell_ind field: # eather list or list of lists can be used action_pot_tracker.cell_ind = [[50, 3]] action_pot_tracker.step = 1 tracker_sequence.add_tracker(action_pot_tracker) courtemanche.tracker_sequence = tracker_sequence # run the model: courtemanche.run() # plot the action potential plt.figure() time = np.arange(len(action_pot_tracker.output)) * courtemanche.dt plt.plot(time, action_pot_tracker.output, label=""cell_50_3"") plt.legend(title='Courtemanche') plt.xlabel('Time (ms)') plt.ylabel('Voltage (mV)') plt.title('Action Potential') plt.grid() plt.show()","Python" "Cell biology","finitewave/Finitewave","examples/models/2D/bueno_orovio_2d.py",".py","1977","73",""""""" Running the Bueno-Orovio Model in 2D ====================================== Overview: --------- This example demonstrates how to run a basic 2D simulation of the Bueno-Orovio model using the Finitewave framework. Simulation Setup: ----------------- - Tissue Grid: A 100×5 cardiac tissue domain. - Stimulation: - A square side stimulus is applied at t = 0. - Time and Space Resolution: - Temporal step (dt): 0.01 - Spatial resolution (dr): 0.25 - Total simulation time (t_max): 500 Execution: ---------- 1. Create a 2D cardiac tissue grid. 2. Apply a stimulus along the upper boundary to initiate excitation. 3. Set up and run the Bueno-Orovio model. 4. Visualize the transmembrane potential. """""" import numpy as np import matplotlib.pyplot as plt import finitewave as fw # create a tissue: n = 100 m = 5 tissue = fw.CardiacTissue2D([n, m]) # set up stimulation parameters: stim_sequence = fw.StimSequence() stim_sequence.add_stim(fw.StimVoltageCoord2D(0, 1, 0, 5, 0, m)) # create model object and set up parameters: bueno_orovio = fw.BuenoOrovio2D() bueno_orovio.dt = 0.01 bueno_orovio.dr = 0.25 bueno_orovio.t_max = 500 # add the tissue and the stim parameters to the model object: bueno_orovio.cardiac_tissue = tissue bueno_orovio.stim_sequence = stim_sequence tracker_sequence = fw.TrackerSequence() action_pot_tracker = fw.ActionPotential2DTracker() # to specify the mesh node under the measuring - use the cell_ind field: # eather list or list of lists can be used action_pot_tracker.cell_ind = [[50, 3]] action_pot_tracker.step = 1 tracker_sequence.add_tracker(action_pot_tracker) bueno_orovio.tracker_sequence = tracker_sequence # run the model: bueno_orovio.run() # plot the action potential plt.figure() time = np.arange(len(action_pot_tracker.output)) * bueno_orovio.dt plt.plot(time, action_pot_tracker.output, label=""cell_50_3"") plt.legend(title='Bueno-Orovio') plt.xlabel('Time (ms)') plt.title('Action Potential') plt.grid() plt.show() ","Python" "Cell biology","finitewave/Finitewave","examples/models/2D/luo_rudy_2d.py",".py","2090","74",""""""" Running the Luo-Rudy 1991 Model in 2D Cardiac Tissue ==================================================== Overview: --------- This example demonstrates how to run a 2D simulation of the Luo-Rudy 1991 ventricular action potential model using the Finitewave framework. Simulation Setup: ----------------- - Tissue Grid: A 100×5 cardiac tissue domain. - Stimulation: - A planar stimulus is applied along the top edge of the domain at t = 0 ms to initiate wavefront propagation. - Time and Space Resolution: - Temporal step (dt): 0.01 ms - Spatial resolution (dr): 0.25 mm - Total simulation time (t_max): 500 ms Execution: ---------- 1. Create a 2D cardiac tissue grid. 2. Apply a stimulus along the upper boundary to initiate excitation. 3. Set up and run the Luo-Rudy 1991 model. 4. Visualize the transmembrane potential. """""" import numpy as np import matplotlib.pyplot as plt import finitewave as fw n = 100 m = 5 # create mesh tissue = fw.CardiacTissue2D((n, m)) # set up stimulation parameters stim_sequence = fw.StimSequence() stim_sequence.add_stim(fw.StimVoltageCoord2D(0, 1, 0, 5, 0, m)) # create model object and set up parameters luo_rudy = fw.LuoRudy912D() luo_rudy.dt = 0.01 luo_rudy.dr = 0.25 luo_rudy.t_max = 500 # add the tissue and the stim parameters to the model object luo_rudy.cardiac_tissue = tissue luo_rudy.stim_sequence = stim_sequence tracker_sequence = fw.TrackerSequence() action_pot_tracker = fw.ActionPotential2DTracker() # to specify the mesh node under the measuring - use the cell_ind field: # eather list or list of lists can be used action_pot_tracker.cell_ind = [[50, 3]] action_pot_tracker.step = 1 tracker_sequence.add_tracker(action_pot_tracker) luo_rudy.tracker_sequence = tracker_sequence # run the model: luo_rudy.run() # plot the action potential plt.figure() time = np.arange(len(action_pot_tracker.output)) * luo_rudy.dt plt.plot(time, action_pot_tracker.output, label=""cell_50_3"") plt.legend(title='Luo-Rudy 1991') plt.xlabel('Time (ms)') plt.ylabel('Voltage (mV)') plt.title('Action Potential') plt.grid() plt.show()","Python" "Cell biology","finitewave/Finitewave","examples/basics/3D/spiral_wave_3d.py",".py","3417","116",""""""" Spiral Waves on a 3D Spherical Shell ==================================== This example demonstrates how to simulate spiral (scroll) waves inside a 3D spherical shell using the Aliev-Panfilov model with Finitewave. A hollow sphere is embedded inside a 3D Cartesian grid. The propagation of electrical activity is initiated by sequential stimuli, creating a scroll wave that circulates within the curved geometry. The resulting potential distribution is visualized with Finitewave's 3D mesh tools. Geometry Setup: --------------- - Domain size: 200×200×200 grid - Geometry: Spherical shell created using a binary mask - Outer radius: 95 voxels - Inner radius: 90 voxels - Mesh values: 1 inside the shell, 0 outside - The sphere is centered in the domain Stimulation Protocol: --------------------- - Stimulus 1: - Time: t = 0 - Location: One side of the sphere (thin planar region near the edge) - Stimulus 2: - Time: t = 50 - Location: One hemisphere only - This breaks the initial wave symmetry and initiates a scroll wave Model: ------ - Aliev-Panfilov 3D reaction-diffusion model - Time step (dt): 0.01 - Space step (dr): 0.25 - Total simulation time: 100 Visualization: -------------- The 3D scalar field (`u`) is rendered on the shell mesh using Finitewave’s `VisMeshBuilder3D`. Applications: ------------- - Simulation of scroll wave dynamics in spherical domains - Study of wave breakups, phase singularities, and 3D reentry - Modeling electrical activity in simplified anatomical geometries """""" import matplotlib.pyplot as plt import numpy as np import finitewave as fw # Create a spherical mask within a 100x100x100 cube def create_sphere_mask(shape, radius, center): z, y, x = np.indices(shape) distance = np.sqrt((x - center[0])**2 + (y - center[1])**2 + (z - center[2])**2) mask = distance <= radius return mask # set up the cardiac tissue: n = 200 shape = (n, n, n) tissue = fw.CardiacTissue3D((n, n, n)) tissue.mesh = np.zeros((n, n, n)) tissue.mesh[create_sphere_mask(tissue.mesh.shape, n//2-5, (n//2, n//2, n//2))] = 1 tissue.mesh[create_sphere_mask(tissue.mesh.shape, n//2-10, (n//2, n//2, n//2))] = 0 # set up stimulation parameters: min_x = np.where(tissue.mesh)[0].min() stim1 = fw.StimVoltageCoord3D(0, 1, min_x, min_x + 3, 0, n, 0, n) stim2 = fw.StimVoltageCoord3D(50, 1, 0, n, 0, n//2, 0, n) stim_sequence = fw.StimSequence() stim_sequence.add_stim(stim1) stim_sequence.add_stim(stim2) aliev_panfilov = fw.AlievPanfilov3D() # set up numerical parameters: aliev_panfilov.dt = 0.01 aliev_panfilov.dr = 0.25 aliev_panfilov.t_max = 100 # add the tissue and the stim parameters to the model object: aliev_panfilov.cardiac_tissue = tissue aliev_panfilov.stim_sequence = stim_sequence aliev_panfilov.run() # visualize the potential map in 3D vis_mesh = tissue.mesh.copy() # vis_mesh[n//2:, n//2:, n//2:] = 0 mesh_builder = fw.VisMeshBuilder3D() grid = mesh_builder.build_mesh(vis_mesh) grid = mesh_builder.add_scalar(aliev_panfilov.u, 'u') grid.plot(clim=[0, 1], cmap='viridis')","Python" "Cell biology","finitewave/Finitewave","examples/basics/3D/ventricle_geometry_3d.py",".py","2938","93",""""""" Left Ventricle Simulation with Anatomical Mesh and Fibers ---------------------------------------------------------- This example demonstrates how to simulate electrical activity in a realistic left ventricular (LV) geometry using the Aliev-Panfilov model in 3D. The LV mesh and corresponding fiber orientations are loaded from external data (available at https://zenodo.org/records/3890034). The mesh is embedded in a regular grid, and fiber directions are assigned to the myocardium using a vector field. Stimulation is applied at the base of the ventricle to initiate activation, and wave propagation is visualized in 3D. Data Requirements: ------------------ This example assumes the following files exist in the `data/` directory: - `mesh.npy`: 3D binary array (1 = myocardium, 0 = empty) - `fibers.npy`: Flattened array of fiber vectors (same shape as mesh[mesh > 0]) Simulation Setup: ----------------- - Model: Aliev-Panfilov 3D - Mesh: Realistic LV shape, embedded in a cubic grid - Fibers: Anatomically derived vectors per voxel - Stimulus: - Type: Voltage - Location: Basal region (first 20 z-slices) - Time: t = 0 - Time step (dt): 0.01 - Space step (dr): 0.25 - Total time: 40 Visualization: -------------- - The scalar voltage field (`u`) is rendered in 3D using Finitewave’s `VisMeshBuilder3D`. Applications: ------------- - Realistic whole-ventricle simulations - Exploration of fiber-driven anisotropic conduction - Foundation for further patient-specific modeling or ECG computation """""" from pathlib import Path import numpy as np import finitewave as fw path = Path(__file__).parent # Load mesh as cubic array mesh = np.load(path.joinpath("".."", "".."", ""data"", ""mesh.npy"")) # Load fibers as cubic array fibers_list = np.load(path.joinpath("".."", "".."", ""data"", ""fibers.npy"")) fibers = np.zeros(mesh.shape + (3,), dtype=float) fibers[mesh > 0] = fibers_list # set up the tissue with fibers orientation: tissue = fw.CardiacTissue3D(mesh.shape) tissue.mesh = mesh tissue.add_boundaries() tissue.fibers = fibers # set up stimulation parameters: stim_sequence = fw.StimSequence() stim_sequence.add_stim(fw.StimVoltageCoord3D(0, 1, 0, mesh.shape[0], 0, mesh.shape[0], 0, 20)) # create model object: aliev_panfilov = fw.AlievPanfilov3D() # set up numerical parameters: aliev_panfilov.dt = 0.01 aliev_panfilov.dr = 0.25 aliev_panfilov.t_max = 40 # add the tissue and the stim parameters to the model object: aliev_panfilov.cardiac_tissue = tissue aliev_panfilov.stim_sequence = stim_sequence # initialize model: compute weights, add stimuls, trackers etc. aliev_panfilov.run() # visualize the ventricle in 3D mesh_builder = fw.VisMeshBuilder3D() mesh_grid = mesh_builder.build_mesh(tissue.mesh) mesh_grid = mesh_builder.add_scalar(aliev_panfilov.u, 'u') mesh_grid.plot(clim=[0, 1], cmap='viridis')","Python" "Cell biology","finitewave/Finitewave","examples/basics/2D/change_conductivity_2d.py",".py","2647","79"," """""" Aliev-Panfilov 2D Model (Conductivity) ====================================== Overview: --------- This example demonstrates how to simulate the Aliev-Panfilov model in a two-dimensional isotropic cardiac tissue with spatially varying conductivity. Conductivity variations affect wave propagation, simulating regions of different electrophysiological properties. Simulation Setup: ----------------- - Tissue Grid: A 400×400 cardiac tissue domain. - Isotropic Diffusion: Conductivity is uniform within regions but varies across the tissue. - Conductivity Variation: - The default conductivity is set to 1.0. - The bottom-right quadrant (n/2:, n/2:) has reduced conductivity (0.3). - Stimulation: A localized stimulus is applied at the center. - Time and Space Resolution: - Temporal step (dt): 0.01 - Spatial resolution (dr): 0.25 - Total simulation time (t_max): 30 Execution: ---------- 1. Create a 2D cardiac tissue grid and define spatial conductivity variations. 2. Apply a stimulus at the center. 3. Set up and initialize the Aliev-Panfilov model. 4. Run the simulation to observe how conductivity affects wave propagation. 5. Visualize the final membrane potential distribution. Effect of Conductivity: ----------------------- The lower conductivity region slows down wave propagation, potentially leading to conduction block or reentrant wave formation. This feature is useful for modeling heterogeneous tissue properties such as fibrosis or ischemic regions. Visualization: -------------- The final membrane potential distribution is displayed using matplotlib, illustrating the impact of conductivity variations on wave propagation. """""" import numpy as np import matplotlib.pyplot as plt import finitewave as fw # create a tissue of size 400x400 with cardiomycytes: n = 400 tissue = fw.CardiacTissue2D([n, n]) tissue.conductivity = np.ones([n, n], dtype=float) tissue.conductivity[n//2:, n//2:] = 0.3 # set up stimulation parameters: stim_sequence = fw.StimSequence() stim_sequence.add_stim(fw.StimVoltageCoord2D(0, 1, n//2 - 3, n//2 + 3, n//2 - 3, n//2 + 3)) # create model object and set up parameters: aliev_panfilov = fw.AlievPanfilov2D() aliev_panfilov.dt = 0.01 aliev_panfilov.dr = 0.25 aliev_panfilov.t_max = 30 # add the tissue and the stim parameters to the model object: aliev_panfilov.cardiac_tissue = tissue aliev_panfilov.stim_sequence = stim_sequence # run the model: aliev_panfilov.run() # show the potential map at the end of calculations: plt.imshow(aliev_panfilov.u) plt.colorbar() plt.show() ","Python" "Cell biology","finitewave/Finitewave","examples/basics/2D/reentry.py",".py","2626","81",""""""" Spiral Wave Formation in 2D Cardiac Tissue ========================================== Overview: --------- This example demonstrates how to initiate and observe a spiral wave in a two-dimensional cardiac tissue model using the Aliev-Panfilov equations. Spiral waves are a key phenomenon in cardiac electrophysiology, often linked to arrhythmias and reentrant activity. Simulation Setup: ----------------- - Tissue Grid: A 256×256 cardiac tissue domain. - Spiral Wave Initiation: - First stimulus: Applied along the top boundary at time 0. - Second stimulus: Applied to the right half of the domain at time 50. - Time and Space Resolution: - Temporal step (dt): 0.01 - Spatial resolution (dr): 0.3 - Total simulation time (t_max): 150 Execution: ---------- 1. Create a 2D cardiac tissue grid. 2. Apply two sequential stimulations: - The first stimulus excites a wavefront across the tissue. - The second stimulus, applied after a delay, breaks the wavefront, leading to spiral wave formation. 3. Initialize and configure the Aliev-Panfilov model. 4. Run the simulation to observe spiral wave dynamics. 5. Visualize the final membrane potential distribution. Spiral Wave Mechanism: ---------------------- Spiral waves emerge due to the interaction of an initial wave and a secondary stimulus applied at a critical time and location. These waves are relevant to studying: - Reentrant arrhythmias (such as ventricular tachycardia). - Excitation wave turbulence in cardiac tissue. - Wavefront stability and self-sustained oscillations. Visualization: -------------- The final membrane potential distribution is displayed using matplotlib, revealing the characteristic spiral pattern. """""" import matplotlib.pyplot as plt import finitewave as fw # set up the tissue: n = 256 tissue = fw.CardiacTissue2D([n, n]) # set up stimulation parameters: stim_sequence = fw.StimSequence() stim_sequence.add_stim(fw.StimVoltageCoord2D(time=0, volt_value=1, x1=0, x2=n, y1=0, y2=5)) stim_sequence.add_stim(fw.StimVoltageCoord2D(time=50, volt_value=1, x1=n//2, x2=n, y1=0, y2=n)) # create model object: aliev_panfilov = fw.AlievPanfilov2D() # set up numerical parameters: aliev_panfilov.dt = 0.01 aliev_panfilov.dr = 0.3 aliev_panfilov.t_max = 150 # add the tissue and the stim parameters to the model object: aliev_panfilov.cardiac_tissue = tissue aliev_panfilov.stim_sequence = stim_sequence aliev_panfilov.run() # show the potential map at the end of calculations: plt.imshow(aliev_panfilov.u) plt.show() ","Python" "Cell biology","finitewave/Finitewave","examples/basics/2D/chaotic_pattern.py",".py","2589","74",""""""" Spiral Wave Breakup and Induced Chaos (Aliev-Panfilov 2D) ========================================================== Overview: --------- This example demonstrates how to initiate a spiral wave in a 2D excitable medium using the Aliev-Panfilov model and subsequently destabilize it with two additional stimuli. This approach leads to spiral wave breakup and the onset of chaotic, fibrillation-like activity in a homogeneous tissue. Simulation Setup: ----------------- - Tissue Grid: A 200×200 homogeneous cardiac tissue domain. - Model: Aliev-Panfilov 2D model. - Stimulation Protocol: - **S1 (t = 0 ms)**: Planar stimulus to the top half of the tissue. - **S2 (t = 31 ms)**: Vertical stimulus on the left half to induce wave rotation (spiral). - **S3–S4 (t = 75 ms, 125 ms)**: Localized current pulses in the bottom center to destabilize the spiral and trigger wave breakup. - Time and Space Resolution: - Temporal step (dt): 0.01 ms - Spatial resolution (dr): 0.25 mm - Total simulation time (t_max): 195 ms Execution: ---------- 1. A planar wave is launched at the top to propagate downward. 2. A second stimulus creates a partial reentry and initiates a spiral. 3. Two well-timed localized stimuli are applied near the spiral core, leading to fragmentation and chaotic wave propagation. 4. The model is integrated over time to observe the evolution of excitation. Expected Outcome: ----------------- - Formation of a spiral wave pattern. - Spiral destabilization due to extra stimuli. - Emergence of complex, self-sustaining chaotic patterns resembling electrical fibrillation. Visualization: -------------- The final membrane potential is visualized using matplotlib. Chaotic activity is indicated by irregular, fragmented wavefronts. """""" import matplotlib.pyplot as plt import finitewave as fw n = 200 tissue = fw.CardiacTissue2D((n, n)) stim_sequence = fw.StimSequence() stim_sequence.add_stim(fw.StimVoltageCoord2D(0, 1, 0, n, 0, n//2)) stim_sequence.add_stim(fw.StimVoltageCoord2D(31, 1, 0, n//2, 0, n)) # extra stimuli to break the spiral waves: stim_sequence.add_stim(fw.StimCurrentCoord2D(75, 3, 3, 90, 100, n//2, n)) stim_sequence.add_stim(fw.StimCurrentCoord2D(125, 3, 3, 90, 100, n//2, n)) # Set up the Aliev-Panfilov model: aliev_panfilov = fw.AlievPanfilov2D() aliev_panfilov.dt = 0.01 aliev_panfilov.dr = 0.25 aliev_panfilov.t_max = 195 aliev_panfilov.cardiac_tissue = tissue aliev_panfilov.stim_sequence = stim_sequence aliev_panfilov.run() plt.imshow(aliev_panfilov.u, cmap='plasma') plt.title(""Chaotic pattern"") plt.show() ","Python" "Cell biology","finitewave/Finitewave","examples/basics/2D/commands.py",".py","3707","103",""""""" Fenton-Karma 2D Model (Interrupt via Custom Command) ==================================================== Overview: --------- This example demonstrates how to use the `Command` and `CommandSequence` interfaces in Finitewave to inject custom logic into a cardiac electrophysiology simulation. Specifically, we interrupt the simulation when the wave of excitation reaches the far edge of the tissue. This demonstrates how to trigger actions based on the state of the system. Simulation Setup: ----------------- - Tissue Grid: A 300×300 cardiac tissue domain. - Mesh: Entire domain is active tissue (`1.0` values). - Model: Fenton-Karma 2D model is used for wave propagation. - Stimulation: A voltage stimulus is applied along the entire left edge. - Time and Space Resolution: - Temporal step (dt): 0.01 ms - Spatial resolution (dr): 0.25 mm - Total simulation time (t_max): 1000 ms Command Usage: -------------- - Custom command `InterruptCommand` inherits from `Command`. - At every 10 ms of simulation time (from 0 to 190 ms), the command checks if the wave has reached the far-right side (`x = 298`). - If any value of the membrane potential exceeds 0.5 on this edge, the simulation is terminated early by setting `model.step = np.inf`. Execution: ---------- 1. Initialize a square 2D tissue with a full mesh of excitable tissue. 2. Apply a uniform voltage stimulus along the leftmost edge (columns `0–1`). 3. Set up a sequence of `InterruptCommand` checks at regular intervals. 4. Run the simulation. It will self-interrupt once the wave reaches the far side. Effect of Custom Command: ------------------------- This feature is useful for: - Saving computational time by stopping early based on user-defined conditions. - Triggering intermediate analysis, adaptive pacing, or feedback-based protocols. - Debugging or validation of wave speed and tissue responsiveness. Visualization: -------------- No visualization is included in this example, but users can integrate `matplotlib` or export model states using built-in Finitewave I/O utilities. Notes: ------ - The `Command` and `CommandSequence` classes allow flexible integration of logic and control flow without modifying the core model. - This technique is extendable to more complex use cases such as region-specific feedback, pacing adjustment, or custom logging. """""" import numpy as np import finitewave as fw # number of nodes on the side n = 300 tissue = fw.CardiacTissue2D([n, n]) # create a mesh of cardiomyocytes (elems = 1): tissue.mesh = np.ones([n, n], dtype=float) # add empty nodes on the sides (elems = 0): # create model object: fenton_karma = fw.FentonKarma2D() # set up numerical parameters: fenton_karma.dt = 0.01 fenton_karma.dr = 0.25 fenton_karma.t_max = 1000 # Define the command: class InterruptCommand(fw.Command): def execute(self, model): if np.any(model.u[:, 298] > 0.5): # increase the calculation step to stop the execution loop. model.step = np.inf print (""Propagation wave reached the opposite side. Stop calculation."") # We want to check the opposite side every 10 time units. # Thus we have a list of commands with the same method but different times. command_sequence = fw.CommandSequence() for i in range(0, 200, 10): command_sequence.add_command(InterruptCommand(i)) fenton_karma.command_sequence = command_sequence # set up stimulation parameters: stim_sequence = fw.StimSequence() stim_sequence.add_stim(fw.StimVoltageCoord2D(0, 1, 0, n, 0, 5)) # add the tissue and the stim parameters to the model object: fenton_karma.cardiac_tissue = tissue fenton_karma.stim_sequence = stim_sequence fenton_karma.run()","Python" "Cell biology","finitewave/Finitewave","examples/basics/2D/matrix_stimulation.py",".py","2589","86"," """""" Matrix Stimulation in 2D Cardiac Tissue ======================================= Overview: --------- This example demonstrates how to apply matrix-based stimulation in a two-dimensional cardiac tissue model using the Fenton-Karma equations. Instead of a single stimulus source, this method applies stimulation at multiple predefined locations across the tissue. Simulation Setup: ----------------- - Tissue Grid: A 400×400 cardiac tissue domain. - Multiple Stimulus Areas: Stimulation is applied at four distinct points. - Stimulation Shape: Each stimulus is applied over a circular area (radius = 5). - Time and Space Resolution: - Temporal step (dt): 0.01 - Spatial resolution (dr): 0.25 - Total simulation time (t_max): 10 Execution: ---------- 1. Create a 2D cardiac tissue grid. 2. Define four circular stimulation areas using `skimage.draw.disk`. 3. Apply the stimuli as a matrix using `StimVoltageMatrix2D`. 4. Initialize and configure the Fenton-Karma model. 5. Run the simulation to observe how multiple stimulation sites influence wave propagation. 6. Visualize the final membrane potential distribution. Application: ------------ This method is useful for simulating paced activation patterns seen in electrophysiology studies, where multiple sites are excited simultaneously. It can help analyze conduction velocity, wavefront interactions, and reentry formation. Visualization: -------------- The final membrane potential distribution is displayed using matplotlib, showing how excitation spreads from the stimulated regions. """""" import matplotlib.pyplot as plt from skimage import draw import numpy as np import finitewave as fw # set up cardiac tissue: n = 400 tissue = fw.CardiacTissue2D([n, n]) # set up stimulation parameters: stim_sequence = fw.StimSequence() stim_area = np.full([400, 400], False, dtype=bool) ii, jj = draw.disk([100, 100], 5) stim_area[ii, jj] = True ii, jj = draw.disk([100, 300], 5) stim_area[ii, jj] = True ii, jj = draw.disk([300, 100], 5) stim_area[ii, jj] = True ii, jj = draw.disk([300, 300], 5) stim_area[ii, jj] = True stim_sequence.add_stim(fw.StimVoltageMatrix2D(0, 1, stim_area)) # create model object: fenton_karma = fw.FentonKarma2D() # set up numerical parameters: fenton_karma.dt = 0.01 fenton_karma.dr = 0.25 fenton_karma.t_max = 10 # add the tissue and the stim parameters to the model object: fenton_karma.cardiac_tissue = tissue fenton_karma.stim_sequence = stim_sequence fenton_karma.run() # show the potential map at the end of calculations: # plt.figure() plt.imshow(fenton_karma.u) plt.show() ","Python" "Cell biology","finitewave/Finitewave","examples/basics/2D/anisotropic_medium_2d.py",".py","2688","85"," """""" Aliev-Panfilov 2D Model (Anisotropic) ===================================== Overview: --------- This example demonstrates how to simulate the Aliev-Panfilov model in a two-dimensional anisotropic cardiac tissue. Unlike the isotropic case, anisotropy is introduced by specifying a fiber orientation array, which modifies the diffusion properties of the tissue. Simulation Setup: ----------------- - Tissue Grid: A 400×400 cardiac tissue domain is created. - Anisotropic Diffusion: Fiber orientation is set using a direction field. - Fiber Orientation: Defined by an angle alpha = 0.25 * pi. - Stimulation: A localized stimulus is applied at the center of the domain. - Time and Space Resolution: - Temporal step (dt): 0.01 - Spatial resolution (dr): 0.25 - Total simulation time (t_max): 30 Execution: ---------- 1. Create a 2D cardiac tissue grid with fiber orientation. 2. Define and apply a stimulus at the center. 3. Set up and initialize the Aliev-Panfilov model. 4. Run the simulation to compute wave propagation in an anisotropic medium. 5. Visualize the membrane potential distribution at the final timestep. Anisotropic Diffusion: ---------------------- Anisotropy is implemented by defining a fiber orientation field for the CardiacTissue object. The model automatically selects the appropriate stencil to calculate the diffusion term based on fiber direction. Visualization: -------------- The final membrane potential distribution is displayed using matplotlib, showing how the excitation wave propagates in the anisotropic medium. """""" import matplotlib.pyplot as plt import numpy as np import finitewave as fw # number of nodes on the side n = 400 # fiber orientation angle alpha = 0.25 * np.pi tissue = fw.CardiacTissue2D([n, n]) # create a mesh of cardiomyocytes (elems = 1): tissue.mesh = np.ones([n, n]) tissue.add_boundaries() # add fibers orientation vectors tissue.fibers = np.zeros([n, n, 2]) tissue.fibers[:, :, 0] = np.cos(alpha) tissue.fibers[:, :, 1] = np.sin(alpha) # set up stimulation parameters: stim_sequence = fw.StimSequence() stim_sequence.add_stim(fw.StimVoltageCoord2D(0, 1, n//2 - 3, n//2 + 3, n//2 - 3, n//2 + 3)) # create model object: aliev_panfilov = fw.AlievPanfilov2D() # set up numerical parameters: aliev_panfilov.dt = 0.01 aliev_panfilov.dr = 0.25 aliev_panfilov.t_max = 30 # add the tissue and the stim parameters to the model object: aliev_panfilov.cardiac_tissue = tissue aliev_panfilov.stim_sequence = stim_sequence aliev_panfilov.run() # show the potential map at the end of calculations: plt.figure() plt.imshow(aliev_panfilov.u) plt.colorbar() plt.show() ","Python" "Cell biology","finitewave/Finitewave","examples/basics/2D/using_states.py",".py","4838","148",""""""" StateKeeper Example: Saving and Loading Simulation States ========================================================= Overview: --------- This example demonstrates how to use the StateKeeper functionality in Finitewave to save and restore the state of a 2D cardiac simulation. This allows a simulation to be paused and resumed at a later time without restarting from the beginning. Key Features: ------------- - State Saving: The model saves intermediate states at specific times. - State Loading: The simulation is resumed from a saved state. - Multiple Runs: The model is executed in three phases: 1. First run (0 - 20): The initial simulation run. 2. Second run (10 - 20): Resumes from a saved state at t = 10. 3. Third run (20 - 30): Resumes from a saved state at t = 20. Simulation Setup: ----------------- - Tissue Grid: A 400×400 cardiac tissue domain. - Stimulation: A small localized stimulus applied at the center. - State Saving: - The state is saved at t = 10 (""state_0""). - The final state is saved at t = 20 (""state_1""). - Time and Space Resolution: - Temporal step (dt): 0.01 - Spatial resolution (dr): 0.25 - First run duration: 0 - 20 - Second and third run durations: 10 - 20 each. Execution Workflow: ------------------- 1. Run the first simulation and save the state at t = 10 and t = 20. 2. Delete the model instance and clear memory using `gc.collect()`. 3. Create a new model instance and load ""state_0"", then continue the simulation from t = 10 to 20. 4. Create another new instance, load ""state_1"", and run from t = 20 to 30. 5. Visualize the results: - First run (t=0 to 20) - Second run (t=10 to 20) - Third run (t=20 to 30) 6. Delete saved states to clean up temporary files. Application: ------------ State saving is useful for: - Long simulations: Avoids restarting from scratch in case of interruptions. - Parameter tuning: Allows resuming simulations from intermediate states. - Multi-stage analysis: Investigates different scenarios from a common starting point. Visualization: -------------- The final results are displayed using matplotlib, showing the progression of the simulation across the three phases. """""" import matplotlib.pyplot as plt import gc import shutil import finitewave as fw # number of nodes on the side # create a tissue of size 400x400 with cardiomycytes: n = 400 tissue = fw.CardiacTissue2D([n, n]) # set up stimulation parameters: stim_sequence = fw.StimSequence() stim_sequence.add_stim(fw.StimVoltageCoord2D(0, 1, n//2 - 5, n//2 + 5, n//2 - 5, n//2 + 5)) # set up state saver parameters: # to save only one state you can use StateSaver directly state_savers = fw.StateSaverCollection() state_savers.savers.append(fw.StateSaver(""state_0"", time=10)) # will save at t=10 state_savers.savers.append(fw.StateSaver(""state_1"")) # will save at t=20 (at the end of the run) # create model object and set up parameters: mitchell_schaeffer = fw.MitchellSchaeffer2D() mitchell_schaeffer.dt = 0.01 mitchell_schaeffer.dr = 0.25 mitchell_schaeffer.t_max = 20 # add the tissue and the stim parameters to the model object: mitchell_schaeffer.cardiac_tissue = tissue mitchell_schaeffer.stim_sequence = stim_sequence mitchell_schaeffer.state_saver = state_savers # run the model: mitchell_schaeffer.run() u_before = mitchell_schaeffer.u.copy() # We delete model and use gc.collect() to ask the virtual machine remove # objects from memory. Though it's not necessary to do this. del mitchell_schaeffer gc.collect() # # # # # # # # # # Here we create a new model and load states from the previous calculation to # continue. # recreate the model mitchell_schaeffer = fw.MitchellSchaeffer2D() # set up numerical parameters: mitchell_schaeffer.dt = 0.01 mitchell_schaeffer.dr = 0.25 mitchell_schaeffer.t_max = 10 # add the tissue and the state_loader to the model object: mitchell_schaeffer.cardiac_tissue = tissue mitchell_schaeffer.state_loader = fw.StateLoader(""state_0"") mitchell_schaeffer.run() u_after = mitchell_schaeffer.u.copy() # recreate the model mitchell_schaeffer = fw.MitchellSchaeffer2D() # set up numerical parameters: mitchell_schaeffer.dt = 0.01 mitchell_schaeffer.dr = 0.25 mitchell_schaeffer.t_max = 10 # add the tissue and the state_loader to the model object: mitchell_schaeffer.cardiac_tissue = tissue mitchell_schaeffer.state_loader = fw.StateLoader(""state_1"") mitchell_schaeffer.run() # plot the results fig, axs = plt.subplots(1, 3, figsize=(10, 5)) axs[0].imshow(u_before) axs[0].set_title(""First run from t=0 to t=20"") axs[1].imshow(u_after) axs[1].set_title(""Second run from t=10 to t=20"") axs[2].imshow(mitchell_schaeffer.u) axs[2].set_title(""Third run from t=20 to t=30"") plt.show() # remove the state directory shutil.rmtree(""state_0"") shutil.rmtree(""state_1"") ","Python" "Cell biology","finitewave/Finitewave","examples/basics/2D/isotropic_medium_2d.py",".py","2023","66",""""""" Aliev-Panfilov 2D Model (Isotropic) ==================================== Overview: --------- This example demonstrates how to simulate the Aliev-Panfilov model in a two-dimensional isotropic medium using the Finitewave framework. The model describes the propagation of electrical waves in excitable media, such as cardiac tissue, and captures fundamental excitation and recovery dynamics. Simulation Setup: ----------------- - Tissue Grid: A 400×400 homogeneous cardiac tissue is created. - Isotropic Stencil: Diffusion is uniform in all directions. - Stimulation: A localized stimulus is applied at the center of the domain. - Time and Space Resolution: - Temporal step (dt): 0.01 - Spatial resolution (dr): 0.25 - Total simulation time (t_max): 30 Execution: ---------- 1. Create a 2D cardiac tissue grid. 2. Define and apply a stimulus at the center. 3. Set up and initialize the Aliev-Panfilov model. 4. Run the simulation to compute wave propagation. 5. Visualize the membrane potential map at the final timestep. Visualization: -------------- The final membrane potential distribution is displayed using `matplotlib`, showing the resulting excitation wave pattern. """""" import matplotlib.pyplot as plt import finitewave as fw # create a tissue of size 400x400 with cardiomycytes: n = 400 tissue = fw.CardiacTissue2D([n, n]) # set up stimulation parameters: stim_sequence = fw.StimSequence() stim_sequence.add_stim(fw.StimVoltageCoord2D(0, 1, n//2 - 3, n//2 + 3, n//2 - 3, n//2 + 3)) # create model object and set up parameters: aliev_panfilov = fw.AlievPanfilov2D() aliev_panfilov.dt = 0.01 aliev_panfilov.dr = 0.25 aliev_panfilov.t_max = 30 # add the tissue and the stim parameters to the model object: aliev_panfilov.cardiac_tissue = tissue aliev_panfilov.stim_sequence = stim_sequence # run the model: aliev_panfilov.run() # show the potential map at the end of calculations: plt.figure() plt.imshow(aliev_panfilov.u) plt.colorbar() plt.show() ","Python" "Cell biology","finitewave/Finitewave","examples/trackers/3D/animation_3d_tracker.py",".py","2700","81",""""""" Animation3DTracker Example ========================== This example demonstrates how to use the Animation3DTracker to generate a visualization of transmembrane potential (u) over time in a 3D cardiac tissue simulation using the Aliev-Panfilov model. Overview: --------- The tracker captures snapshots of the selected variable during the simulation and later compiles them into an animation (e.g. .mp4 video). Simulation Setup: ----------------- - Tissue: A 3D slab of size 100×100×10. - Stimulation: - First wave is initiated from the lower half of the tissue at t = 0. - Second wave is initiated from the left half at t = 31 to create wavefront interactions. - Tracking: - The transmembrane potential (`u`) is recorded every 10 steps. - Snapshots are stored in the folder `anim_data` and compiled into a .mp4. Execution: ---------- 1. Simulate wave propagation using the Aliev-Panfilov model. 2. Save snapshots of `u` at regular intervals. 3. Compile snapshots into an animation after the simulation. Applications: ------------- - Useful for visualizing wave dynamics in 3D, such as propagation, collision, or reentry. - Supports model validation, presentation, and educational use. Output: ------- An `.mp4` animation file in the `anim_data` folder, showing how `u` evolves over time in the 3D domain. """""" import numpy as np import finitewave as fw # set up the tissue: n = 100 nk = 10 tissue = fw.CardiacTissue3D([n, n, nk]) # set up stimulation parameters: stim_sequence = fw.StimSequence() stim_sequence.add_stim(fw.StimVoltageCoord3D(0, 1, 0, n, 0, n//2, 0, nk)) stim_sequence.add_stim(fw.StimVoltageCoord3D(31, 1, 0, n//2, 0, n, 0, nk)) # set up tracker parameters: tracker_sequence = fw.TrackerSequence() animation_tracker = fw.Animation3DTracker() animation_tracker.variable_name = ""u"" # Specify the variable to track animation_tracker.dir_name = ""anim_data"" animation_tracker.step = 10 animation_tracker.overwrite = True # Remove existing files in dir_name tracker_sequence.add_tracker(animation_tracker) # create model object: aliev_panfilov = fw.AlievPanfilov3D() # set up numerical parameters: aliev_panfilov.dt = 0.01 aliev_panfilov.dr = 0.25 aliev_panfilov.t_max = 100 # add the tissue and the stim parameters to the model object: aliev_panfilov.cardiac_tissue = tissue aliev_panfilov.stim_sequence = stim_sequence aliev_panfilov.tracker_sequence = tracker_sequence # run the model: aliev_panfilov.run() # write animation and clear the snapshot folder animation_tracker.write(format='mp4', framerate=10, quality=9, clear=True, clim=[0, 1]) # !Note: for ionic models use clim=[-90, 40] or similar to show the activity correctly","Python" "Cell biology","finitewave/Finitewave","examples/trackers/3D/spiral_wave_core_3d_tracker.py",".py","3051","101"," """""" Spiral Wave Core Tracking in 3D =============================== This example demonstrates how to use the SpiralWaveCore3DTracker in Finitewave to locate and track the core of a scroll wave (3D spiral wave) over time in a simulated cardiac tissue using the Aliev–Panfilov model. Overview: --------- - A planar wave is first initiated from the bottom of the tissue. - A second stimulus is delivered from the left half to induce a scroll wave. - The SpiralWaveCore3DTracker identifies the locations in the tissue where phase singularities form — these correspond to the spiral wave cores. Simulation Setup: ----------------- - Tissue: 200×200×10 3D slab - Time and Space: - Time step (dt): 0.01 - Space step (dr): 0.25 - Simulation duration: 150 - Stimulation: - t = 0 : Stimulus along the bottom edge - t = 31: Stimulus from the left half — creates a broken wavefront Core Tracking: -------------- - Threshold: 0.5 (voltage level to define wavefront) - Start Time: 40 (after wave has developed) - Step: 100 steps between core detections - Output: x, y, z coordinates of scroll wave core and corresponding time points Visualization: -------------- The scroll wave core trajectory is visualized as a 3D scatter plot using `matplotlib`, with the color mapped to the corresponding time of core appearance. Applications: ------------- - Useful for studying scroll wave dynamics and anchoring - Helps analyze stability and drift of reentrant waves - Can assist in identifying vulnerable tissue regions in 3D models Note: ----- This tracker provides sparse detection (once every `step`), and is best used to observe long-term scroll wave motion rather than high-frequency detail. """""" import matplotlib.pyplot as plt import numpy as np import finitewave as fw # number of nodes on the side n = 200 nk = 10 tissue = fw.CardiacTissue3D([n, n, nk]) # create a mesh of cardiomyocytes (elems = 1): tissue.mesh = np.ones([n, n, nk], dtype=""uint8"") # add empty nodes on the sides (elems = 0): tissue.add_boundaries() # create model object: aliev_panfilov = fw.AlievPanfilov3D() aliev_panfilov.dt = 0.01 aliev_panfilov.dr = 0.25 aliev_panfilov.t_max = 150 # set up stimulation parameters: stim_sequence = fw.StimSequence() stim_sequence.add_stim(fw.StimVoltageCoord3D(0, 1, 0, n, 0, n//2, 0, nk)) stim_sequence.add_stim(fw.StimVoltageCoord3D(31, 1, 0, n//2, 0, n, 0, nk)) tracker_sequence = fw.TrackerSequence() spiral_3d_tracker = fw.SpiralWaveCore3DTracker() spiral_3d_tracker.threshold = 0.5 spiral_3d_tracker.start_time = 40 spiral_3d_tracker.step = 100 tracker_sequence.add_tracker(spiral_3d_tracker) aliev_panfilov.cardiac_tissue = tissue aliev_panfilov.stim_sequence = stim_sequence aliev_panfilov.tracker_sequence = tracker_sequence aliev_panfilov.run() swcore = spiral_3d_tracker.output fig = plt.figure() ax = fig.add_subplot(111, projection='3d') ax.scatter(swcore['x'], swcore['y'], swcore['z'], c=swcore['time'], cmap='plasma', s=30) ax.set_xlim(0, n) ax.set_ylim(0, n) ax.set_zlim(0, nk) plt.show()","Python" "Cell biology","finitewave/Finitewave","examples/trackers/3D/spiral_wave_period_3d_tracker.py",".py","3579","115",""""""" Wave Period in 3D Tissue ======================== This example demonstrates how to use the Period3DTracker in Finitewave to measure the wave period at specific locations in a 3D cardiac tissue simulation using the Aliev–Panfilov model. Overview: --------- The Period3DTracker detects threshold crossings (e.g., wave upstrokes) at specified cells to estimate the local activation period. This is useful for analyzing rhythm stability in sustained wave activity such as spiral or scroll waves. Simulation Setup: ----------------- - Tissue Size: 100×100×10 - Initial Conditions: Fully excitable tissue with no fibrosis - Boundary Handling: No-flux boundaries using `add_boundaries()` - Stimulation: - First planar stimulus at t = 0, applied to lower half of Y domain - Second planar stimulus at t = 31, applied to left half of X domain - This induces spiral-like propagation dynamics Period Measurement: ------------------- - Tracker: Period3DTracker - Target Cells: 7 manually selected positions within the mid-slice (z = 5) - Threshold: 0.5 (voltage level for upstroke detection) - Start Time: 100 (to allow initiation to settle) - Step: 10 (check voltage every 10 steps) Output: ------- - Mean and standard deviation of measured periods per cell - A matplotlib errorbar plot shows variability across spatial locations Application: ------------ - Useful for scroll/spiral wave analysis - Can help detect regions with rhythm instability or alternans - Supports investigation of how geometry or fibrosis affects pacing regularity Note: ----- For full local activation time maps and wavefront tracking, consider using `LocalActivationTime3DTracker`. """""" import matplotlib.pyplot as plt import numpy as np import finitewave as fw # number of nodes on the side n = 100 nk = 10 tissue = fw.CardiacTissue3D([n, n, nk]) # create a mesh of cardiomyocytes (elems = 1): tissue.mesh = np.ones([n, n, nk], dtype=""uint8"") # add empty nodes on the sides (elems = 0): tissue.add_boundaries() # create model object: aliev_panfilov = fw.AlievPanfilov3D() aliev_panfilov.dt = 0.01 aliev_panfilov.dr = 0.25 aliev_panfilov.t_max = 300 # induce spiral wave: stim_sequence = fw.StimSequence() stim_sequence.add_stim(fw.StimVoltageCoord3D(0, 1, 0, n, 0, n//2, 0, nk)) stim_sequence.add_stim(fw.StimVoltageCoord3D(31, 1, 0, n//2, 0, n, 0, nk)) tracker_sequence = fw.TrackerSequence() period_tracker = fw.Period3DTracker() positions = np.array([[1, 1, 5], [5, 5, 5], [7, 3, 5], [9, 1, 5], [50, 50, 5], [75, 3, 5], [50, 75, 5]]) period_tracker.cell_ind = positions period_tracker.threshold = 0.5 period_tracker.start_time = 100 period_tracker.step = 10 tracker_sequence.add_tracker(period_tracker) # add the tissue and the stim parameters to the model object: aliev_panfilov.cardiac_tissue = tissue aliev_panfilov.stim_sequence = stim_sequence aliev_panfilov.tracker_sequence = tracker_sequence aliev_panfilov.run() # get the wave period as a pandas Series with the cell index as the index: periods = period_tracker.output # plot the wave period: plt.figure() plt.errorbar(range(len(positions)), periods.apply(lambda x: x.mean()), yerr=periods.apply(lambda x: x.std()), fmt='o') plt.xticks(range(len(positions)), [f'({x[0]}, {x[1]}, {x[2]})' for x in positions], rotation=45) plt.xlabel('Cell Index') plt.ylabel('Period') plt.title('Wave period') plt.tight_layout() plt.show()","Python" "Cell biology","finitewave/Finitewave","examples/trackers/3D/action_potential_3d_tracker.py",".py","2616","85",""""""" ActionPotential3DTracker ========================= This example demonstrates how to use the ActionPotential3DTracker in a 3D tissue simulation with the Aliev-Panfilov model. Overview: --------- The ActionPotential3DTracker allows you to monitor and record the transmembrane potential (u) over time at specific locations within the 3D cardiac tissue. Simulation Setup: ----------------- - Tissue: A 3D slab of size 100×100×10 with default isotropic mesh. - Stimulation: Planar stimulation applied at the left boundary (x ∈ [0, 3]). - Tracking: - Two measurement points are selected: - [30, 30, 5] - [70, 70, 8] - Tracker records the value of `u` at every time step. Execution: ---------- 1. A 3D tissue is created and stimulated from one side. 2. The ActionPotential3DTracker records action potentials at the given cell locations throughout the simulation. 3. The recorded time series is visualized using matplotlib. Applications: ------------- - Useful for analyzing wave propagation, latency, and signal morphology. - Can be used for APD measurement, restitution curve analysis, or comparing regional tissue responses in 3D. Output: ------- A plot showing transmembrane potential over time for each measurement point. """""" import matplotlib.pyplot as plt import numpy as np import finitewave as fw # number of nodes on the side n = 100 nj = 100 nk = 10 tissue = fw.CardiacTissue3D([n, nj, nk]) # set up stimulation parameters: stim_sequence = fw.StimSequence() stim_sequence.add_stim(fw.StimVoltageCoord3D(0, 1, 0, 3, 0, nj, 0, nk)) # set up tracker parameters: tracker_sequence = fw.TrackerSequence() action_pot_tracker = fw.ActionPotential3DTracker() # to specify the mesh node under the measuring - use the cell_ind field: # eather list or list of lists can be used action_pot_tracker.cell_ind = [[30, 30, 5], [70, 70, 8]] action_pot_tracker.step = 1 tracker_sequence.add_tracker(action_pot_tracker) # create model object and set up parameters: aliev_panfilov = fw.AlievPanfilov3D() aliev_panfilov.dt = 0.01 aliev_panfilov.dr = 0.25 aliev_panfilov.t_max = 50 # add the tissue and the stim parameters to the model object: aliev_panfilov.cardiac_tissue = tissue aliev_panfilov.stim_sequence = stim_sequence aliev_panfilov.tracker_sequence = tracker_sequence aliev_panfilov.run() # plot the action potential time = np.arange(len(action_pot_tracker.output)) * aliev_panfilov.dt plt.figure() plt.plot(time, action_pot_tracker.output[:, 0], label=""cell_30_30_5"") plt.plot(time, action_pot_tracker.output[:, 1], label=""cell_70_70_8"") plt.legend(title='Aliev-Panfilov') plt.show()","Python" "Cell biology","finitewave/Finitewave","examples/trackers/3D/local_activation_times_3d_tracker.py",".py","4023","124",""""""" Local Activation Time in 3D =========================== This example demonstrates how to use the LocalActivationTime3DTracker to track the local activation times in a 3D cardiac tissue slab using the Aliev–Panfilov model. Overview: --------- The LocalActivationTime3DTracker records activation times at each node when the membrane potential crosses a defined threshold. Unlike standard activation time trackers, it can store multiple activations (e.g., from reentry or spiral waves) and enables detailed temporal analysis of wavefront propagation. Simulation Setup: ----------------- - Tissue: A 3D slab of size 200×200×10. - Stimulation: - First stimulus: a planar front at y=0–5, applied at t=0. - Second stimulus: half of the domain (x=n/2 to n), applied at t=50. - Model: - Aliev–Panfilov in 3D with dt = 0.01 and dr = 0.3 units. - Total simulation time: 200. - Tracker: - `LocalActivationTime3DTracker` activated from t=100 to t=200. - Records activation times every 10 steps (step=10). - Activation threshold set to 0.5. Visualization: -------------- - Two time points (150 and 170) are visualized. - For each, a 3D scatter plot shows all nodes activated at or after the given time. - Activation time is color-coded using a viridis colormap. Applications: ------------- - Visualization of reentrant waves in 3D. - Analysis of wavefront timing and conduction delays. - Studying effects of geometry, fibrosis, or heterogeneity on activation dynamics. Output: ------- - Two 3D plots showing activation times at specified time bases. - Printed number of LATs (activation events) recorded by the tracker. """""" import matplotlib.pyplot as plt import numpy as np import finitewave as fw # number of nodes on the side n = 200 nk = 10 tissue = fw.CardiacTissue3D([n, n, nk]) # create model object: aliev_panfilov = fw.AlievPanfilov3D() # set up numerical parameters: aliev_panfilov.dt = 0.01 aliev_panfilov.dr = 0.3 aliev_panfilov.t_max = 200 # induce spiral wave: stim_sequence = fw.StimSequence() stim_sequence.add_stim(fw.StimVoltageCoord3D(time=0, volt_value=1, x1=0, x2=n, y1=0, y2=5, z1=0, z2=nk)) stim_sequence.add_stim(fw.StimVoltageCoord3D(time=50, volt_value=1, x1=n//2, x2=n, y1=0, y2=n, z1=0, z2=nk)) # set up the tracker: tracker_sequence = fw.TrackerSequence() act_time_tracker = fw.LocalActivationTime3DTracker() act_time_tracker.threshold = 0.5 act_time_tracker.step = 10 act_time_tracker.start_time = 100 act_time_tracker.end_time = 200 tracker_sequence.add_tracker(act_time_tracker) # connect model with tissue, stim and tracker: aliev_panfilov.cardiac_tissue = tissue aliev_panfilov.stim_sequence = stim_sequence aliev_panfilov.tracker_sequence = tracker_sequence # run the simulation: aliev_panfilov.run() # plot the activation time map: time_bases = [150, 170] # time bases to plot the activation time map lats = act_time_tracker.output print(f'Number of LATs: {len(act_time_tracker.output)}') fig = plt.figure(figsize=(15, 5)) for i, time_base in enumerate(time_bases): ax = fig.add_subplot(1, len(time_bases), i + 1, projection='3d') # Select the activation times next closest to the time base mask = np.any(lats >= time_base, axis=0) ids = np.argmax(lats >= time_base, axis=0) ids = tuple((ids[mask], *np.where(mask))) act_time = np.full([n, n, nk], np.nan) act_time[mask] = lats[ids] act_time_min = time_base act_time_max = time_base + 30 # Create a 3D scatter plot x, y, z = np.where(~np.isnan(act_time)) values = act_time[~np.isnan(act_time)] scatter = ax.scatter(x, y, z, c=values, cmap='viridis', vmin=act_time_min, vmax=act_time_max) ax.set_title(f'Activation time: {time_base} ms') ax.set_xlabel('X') ax.set_ylabel('Y') ax.set_zlabel('Z') cbar = fig.colorbar(scatter, ax=ax, orientation='vertical', pad=0.1) cbar.set_label('Activation Time (ms)') plt.tight_layout() plt.show()","Python" "Cell biology","finitewave/Finitewave","examples/trackers/3D/variables_3d_tracker.py",".py","3260","100",""""""" Tracking State Variables in 3D Cardiac Tissue ============================================= This example demonstrates how to use the `Variable3DTracker` and `MultiVariable3DTracker` classes in Finitewave to monitor the evolution of model state variables (e.g., transmembrane potential `u` and recovery variable `v`) at specific cell locations within a 3D cardiac tissue model. Overview: --------- - The Aliev–Panfilov model is run on a 3D slab of tissue. - Two trackers are used: 1. `Variable3DTracker` — tracks a single variable `u` at cell (40, 40, 5). 2. `MultiVariable3DTracker` — tracks both `u` and `v` at cell (30, 30, 5). - A planar stimulus is applied from one side to generate an action potential. Simulation Setup: ----------------- - Tissue: 100×100×10 3D grid of cardiomyocytes - Time step: 0.01 - Space step: 0.25 - Total duration: 100 - Stimulation: Small region at the front-left corner Tracker Details: ---------------- - `Variable3DTracker` is ideal for lightweight tracking of a single variable. - `MultiVariable3DTracker` allows simultaneous tracking of multiple state variables at the same spatial location. Visualization: -------------- The results are plotted using `matplotlib` to compare: - The `u` values from both trackers. - The evolution of `v` at the measurement location. Applications: ------------- - Useful for action potential shape analysis. - Helps compare transmembrane dynamics across different cell locations. - Can be used to validate ionic models or study parameter sensitivity. """""" import matplotlib.pyplot as plt import numpy as np import finitewave as fw # number of nodes on the side n = 100 nk = 10 # create tissue object: tissue = fw.CardiacTissue3D([n, n, nk]) tissue.mesh = np.ones([n, n, nk], dtype=""uint8"") tissue.add_boundaries() # create model object: aliev_panfilov = fw.AlievPanfilov3D() # set up numerical parameters: aliev_panfilov.dt = 0.01 aliev_panfilov.dr = 0.25 aliev_panfilov.t_max = 100 # set up stimulation parameters: stim_sequence = fw.StimSequence() stim_sequence.add_stim(fw.StimVoltageCoord3D(0, 1, 1, 3, 1, n, 1, nk)) tracker_sequence = fw.TrackerSequence() # add one variable tracker: variable_tracker = fw.Variable3DTracker() variable_tracker.var_name = ""u"" variable_tracker.cell_ind = [40, 40, 5] tracker_sequence.add_tracker(variable_tracker) # add the multi variable tracker: multivariable_tracker = fw.MultiVariable3DTracker() # to specify the mesh node under the measuring - use the cell_ind field: multivariable_tracker.cell_ind = [30, 30, 5] multivariable_tracker.var_list = [""u"", ""v""] tracker_sequence.add_tracker(multivariable_tracker) # add the tissue and the stim parameters to the model object: aliev_panfilov.cardiac_tissue = tissue aliev_panfilov.stim_sequence = stim_sequence aliev_panfilov.tracker_sequence = tracker_sequence aliev_panfilov.run() # plot the action potential and state variable v at the measuring point time = np.arange(len(multivariable_tracker.output[""u""])) * aliev_panfilov.dt plt.plot(time, variable_tracker.output, label=""u"") plt.plot(time, multivariable_tracker.output[""u""], label=""u"") plt.plot(time, multivariable_tracker.output[""v""], label=""v"") plt.legend(title=aliev_panfilov.__class__.__name__) plt.show()","Python" "Cell biology","finitewave/Finitewave","examples/trackers/3D/simple_activation_3d_tracker.py",".py","3008","94",""""""" Activation Time in 3D ===================== This example demonstrates how to compute and visualize activation times in a 3D cardiac tissue model using the Aliev–Panfilov model and the ActivationTime3DTracker in Finitewave. Overview: --------- The ActivationTime3DTracker records the time when the membrane potential at each node first crosses a specified threshold. This is a useful way to visualize the propagation of the activation wave across the tissue volume. Simulation Setup: ----------------- - Domain: 3D slab of size 100×100×10 with uniform cardiomyocytes (value = 1). - Boundaries: Added using `add_boundaries()` to define no-flux edges. - Conductivity: Uniform (1.0) across the tissue. - Fiber orientation: Longitudinal (along the x-axis). - Stimulation: Applied to a thin slab at x = 0–3 across the entire yz-plane at t=0. - Model: Aliev–Panfilov 3D with dt = 0.01, dr = 0.25 units, and t_max = 60. - Tracker: ActivationTime3DTracker with threshold = 0.5. Visualization: -------------- - Activation times are rendered using `VisMeshBuilder3D`. - The output is color-coded using the ""viridis"" colormap to show propagation fronts. Applications: ------------- - Analysis of conduction velocity and wavefront dynamics. - Testing isotropic and anisotropic propagation scenarios. - Foundation for conduction delay studies in healthy and fibrotic tissue. Output: ------- - A 3D scalar field plot of activation times using the internal visualization tools of Finitewave. """""" import numpy as np import finitewave as fw # number of nodes on the side n = 100 nj = 100 nk = 10 tissue = fw.CardiacTissue3D([n, nj, nk]) # create a mesh of cardiomyocytes (elems = 1): tissue.mesh = np.ones([n, nj, nk], dtype=""uint8"") # add empty nodes on the sides (elems = 0): tissue.add_boundaries() # add a conductivity array, all elements = 1.0 -> normal conductvity: tissue.cond = np.ones([n, nj, nk]) # add fibers (oriented along X): tissue.fibers = np.zeros([n, nj, nk, 3]) tissue.fibers[:, :, 0] = 1. tissue.fibers[:, :, 1] = 0. tissue.fibers[:, :, 2] = 0. # create model object: aliev_panfilov = fw.AlievPanfilov3D() # set up numerical parameters: aliev_panfilov.dt = 0.01 aliev_panfilov.dr = 0.25 aliev_panfilov.t_max = 60 # set up stimulation parameters: stim_sequence = fw.StimSequence() stim_sequence.add_stim(fw.StimVoltageCoord3D(0, 1, 0, 3, 0, nj, 0, nk)) tracker_sequence = fw.TrackerSequence() act_time_tracker = fw.ActivationTime3DTracker() act_time_tracker.target_model = aliev_panfilov act_time_tracker.threshold = 0.5 tracker_sequence.add_tracker(act_time_tracker) # add the tissue and the stim parameters to the model object: aliev_panfilov.cardiac_tissue = tissue aliev_panfilov.stim_sequence = stim_sequence aliev_panfilov.tracker_sequence = tracker_sequence aliev_panfilov.run() mesh_builder = fw.VisMeshBuilder3D() grid = mesh_builder.build_mesh(tissue.mesh) grid = mesh_builder.add_scalar(act_time_tracker.act_t, name='Activation Time') grid.plot(cmap='viridis')","Python" "Cell biology","finitewave/Finitewave","examples/trackers/3D/ecg_3d_tracker.py",".py","3065","98"," """""" ECG in 3D Slab ============== This example demonstrates how to use the ECG3DTracker to simulate extracellular electrograms (pseudo-ECG signals) generated by a 3D cardiac tissue slab using the Aliev-Panfilov model. Overview: --------- The ECG3DTracker computes simplified ECG-like signals based on the transmembrane currents in the tissue and their distance to virtual electrode positions located outside the slab. Simulation Setup: ----------------- - Tissue: A 3D slab of size 200×200×5. - Stimulation: - A planar voltage stimulus is applied at the bottom edge (y=0 to y=5) at t = 0 ms. - Measurement: - Virtual electrodes are placed above the slab (z = nk + 3). - Three positions are used: - Center: [100, 100, 8] - Left-center: [ 50, 100, 8] - Bottom-right: [150, 150, 8] - Transmembrane potentials are sampled every 100 time steps. Tracker: -------- - ECG3DTracker integrates the contribution of the transmembrane current from all active tissue elements to each measurement point, using a distance-based approximation of the extracellular potential. Output: ------- A matplotlib plot showing ECG signals at the three electrode positions over time. This allows visualizing the propagation of electrical activity through the tissue as detected externally. Applications: ------------- - Educational visualizations of how wavefronts generate extracellular signals. - Comparison of ECG morphology at different electrode locations. - Study of pacing, reentry, or arrhythmic patterns via pseudo-ECG. """""" import matplotlib.pyplot as plt import numpy as np import finitewave as fw # number of nodes on the side n = 200 nk = 5 tissue = fw.CardiacTissue3D([n, n, nk]) # create a mesh of cardiomyocytes (elems = 1): # create model object: aliev_panfilov = fw.AlievPanfilov3D() aliev_panfilov.dt = 0.0015 aliev_panfilov.dr = 0.1 aliev_panfilov.t_max = 50 # induce the spiral wave: stim_sequence = fw.StimSequence() stim_sequence.add_stim(fw.StimVoltageCoord3D(0, 1, 0, n, 0, 5, 0, nk)) tracker_sequence = fw.TrackerSequence() # create an ECG tracker: ecg_tracker = fw.ECG3DTracker() ecg_tracker.start_time = 0 ecg_tracker.step = 100 ecg_tracker.measure_coords = np.array([[n//2, n//2, nk+3], [n//4, n//2, nk+3], [3*n//4, 3*n//4, nk+3]]) tracker_sequence.add_tracker(ecg_tracker) # add the tissue and the stim parameters to the model object: aliev_panfilov.cardiac_tissue = tissue aliev_panfilov.stim_sequence = stim_sequence aliev_panfilov.tracker_sequence = tracker_sequence aliev_panfilov.run() colors = ['tab:blue', 'tab:orange', 'tab:green'] plt.figure() for i, y in enumerate(ecg_tracker.output.T): x = np.arange(len(y)) * aliev_panfilov.dt * ecg_tracker.step plt.plot(x, y, '-o', color=colors[i], label='precomputed distances') plt.legend(title='ECG computed with') plt.show()","Python" "Cell biology","finitewave/Finitewave","examples/trackers/2D/spiral_wave_core_2d_tracker.py",".py","3051","97"," """""" Tracking Spiral Wave Core in 2D Cardiac Tissue ============================================== Overview: --------- This example demonstrates how to use the SpiralWaveCore2DTracker to track the core of a spiral wave in a 2D cardiac tissue simulation. Spiral waves are essential phenomena in cardiac electrophysiology and are closely related to reentrant arrhythmias. Simulation Setup: ----------------- - Tissue Grid: A 200×200 cardiac tissue domain. - Spiral Wave Initiation: - A first stimulus excites the lower half of the tissue at t = 0. - A second stimulus is applied to the left half at t = 31, breaking the wavefront and initiating spiral wave formation. - Spiral Core Tracking: - Threshold: 0.5 (voltage level used to detect the wave core). - Tracking start time: 50 (after wave formation). - Recording interval: Every 100 steps. - Time and Space Resolution: - Temporal step (dt): 0.01 - Spatial resolution (dr): 0.25 - Total simulation time (t_max): 300 Execution: ---------- 1. Create a 2D cardiac tissue grid. 2. Apply two sequential stimulations to induce a spiral wave. 3. Set up a spiral wave core tracker: - Tracks the movement of the wave’s center over time. 4. Run the Aliev-Panfilov model to simulate wave dynamics. 5. Extract and visualize the spiral wave trajectory. Application: ------------ Tracking the spiral wave core is useful for: - Analyzing reentrant arrhythmias and spiral wave stability. - Studying spiral wave drift and anchoring in different tissue conditions. - Testing anti-arrhythmic strategies by analyzing wave behavior. Visualization: -------------- The spiral wave trajectory is plotted over the final membrane potential distribution using matplotlib, showing how the wave core moves over time. """""" import matplotlib.pyplot as plt import finitewave as fw # set up the tissue: n = 200 tissue = fw.CardiacTissue2D([n, n]) # set up stimulation parameters: stim_sequence = fw.StimSequence() stim_sequence.add_stim(fw.StimVoltageCoord2D(0, 1, 0, n, 0, n//2)) stim_sequence.add_stim(fw.StimVoltageCoord2D(31, 1, 0, n//2, 0, n)) # set up tracker parameters: tracker_sequence = fw.TrackerSequence() sw_core_tracker = fw.SpiralWaveCore2DTracker() sw_core_tracker.threshold = 0.5 sw_core_tracker.start_time = 50 sw_core_tracker.step = 100 # Record the spiral wave core every 1 time unit tracker_sequence.add_tracker(sw_core_tracker) # create model object: aliev_panfilov = fw.AlievPanfilov2D() aliev_panfilov.dt = 0.01 aliev_panfilov.dr = 0.25 aliev_panfilov.t_max = 300 # add the tissue and the stim parameters to the model object: aliev_panfilov.cardiac_tissue = tissue aliev_panfilov.stim_sequence = stim_sequence aliev_panfilov.tracker_sequence = tracker_sequence aliev_panfilov.run() sw_core = sw_core_tracker.output # plot the spiral wave trajectory: plt.imshow(aliev_panfilov.u, cmap='viridis', origin='lower') plt.plot(sw_core['x'], sw_core['y'], 'r') plt.title('Spiral Wave Trajectory') plt.xlabel('x') plt.ylabel('y') plt.xlim(0, n) plt.ylim(0, n) plt.show() ","Python" "Cell biology","finitewave/Finitewave","examples/trackers/2D/ecg_2d_tracker.py",".py","3328","106",""""""" Electrocardiogram (ECG) Tracking in 2D Cardiac Tissue ===================================================== Overview: --------- This example demonstrates how to use the ECG2DTracker to record an electrocardiogram (ECG) from a 2D cardiac tissue simulation. The ECG signal is obtained from multiple measurement points at a given distance from the tissue. Simulation Setup: ----------------- - Tissue Grid: A 400×400 cardiac tissue domain. - Stimulation: - A left-side stimulus is applied at time t = 0. - The excitation wave propagates across the tissue. - ECG Tracking: - Three measurement points are positioned at increasing vertical distances. - The signal strength is computed using an inverse distance power law. - Measurement points: - (n/2, n/4, 10) - (n/2, n/2, 10) - (n/2, 3n/4, 10) - Sampling step: Every 10 time steps. - Time and Space Resolution: - Temporal step (dt): 0.001 - Spatial resolution (dr): 0.1 - Total simulation time (t_max): 50 Execution: ---------- 1. Create a 2D cardiac tissue grid. 2. Apply stimulation along the left boundary. 3. Set up an ECG tracker: - Records electrical activity from multiple measurement points. - Uses an inverse distance weighting (power = 2) to compute the potential at each location. 4. Run the Aliev-Panfilov model to simulate cardiac wave propagation. 5. Extract and visualize the ECG waveform. Application: ------------ ECG tracking in a simulated tissue is useful for: - Studying ECG signal characteristics in controlled environments. - Understanding the relationship between wave propagation and ECG morphology. - Testing the effect of different tissue properties on the ECG signal. Visualization: -------------- The recorded ECG signal is plotted over time using matplotlib, illustrating how electrical wave activity in cardiac tissue translates into an observable ECG trace. """""" import matplotlib.pyplot as plt import numpy as np import finitewave as fw # set up the tissue: n = 200 tissue = fw.CardiacTissue2D([n, n]) # create a mesh of cardiomyocytes (elems = 1): # create model object: aliev_panfilov = fw.AlievPanfilov2D() aliev_panfilov.dt = 0.0015 aliev_panfilov.dr = 0.1 aliev_panfilov.t_max = 50 # induce the spiral wave: stim_sequence = fw.StimSequence() stim_sequence.add_stim(fw.StimVoltageCoord2D(0, 1, 0, n, 0, 5)) tracker_sequence = fw.TrackerSequence() # create an ECG tracker: ecg_tracker = fw.ECG2DTracker() ecg_tracker.start_time = 0 ecg_tracker.step = 100 ecg_tracker.measure_coords = np.array([[n//2, n//2, 10], [n//4, n//2, 10], [3*n//4, 3*n//4, 10]]) tracker_sequence.add_tracker(ecg_tracker) # add the tissue and the stim parameters to the model object: aliev_panfilov.cardiac_tissue = tissue aliev_panfilov.stim_sequence = stim_sequence aliev_panfilov.tracker_sequence = tracker_sequence aliev_panfilov.run() colors = ['tab:blue', 'tab:orange', 'tab:green'] plt.figure() for i, y in enumerate(ecg_tracker.output.T): x = np.arange(len(y)) * aliev_panfilov.dt * ecg_tracker.step plt.plot(x, y, '-o', color=colors[i], label='precomputed distances') plt.legend(title='ECG computed with') plt.show() ","Python" "Cell biology","finitewave/Finitewave","examples/trackers/2D/simple_activation_time_2d_tracker.py",".py","2869","87",""""""" Tracking Activation Time in 2D Cardiac Tissue ============================================= Overview: --------- This example demonstrates how to track activation times during a 2D cardiac tissue simulation using the ActivationTime2DTracker class in Finitewave. Activation time tracking helps analyze the propagation of electrical waves and conduction delays in excitable media. Simulation Setup: ----------------- - Tissue Grid: A 200×200 cardiac tissue domain. - Stimulation: - A left-side stimulus is applied at time t = 0. - The excitation propagates across the tissue. - Activation Time Tracking: - Threshold: 0.5 (membrane potential value used to define activation). - Sampling interval: Every 100 steps. - Time and Space Resolution: - Temporal step (dt): 0.01 - Spatial resolution (dr): 0.25 - Total simulation time (t_max): 50 Execution: ---------- 1. Create a 2D cardiac tissue grid. 2. Apply stimulation along the left boundary to initiate wave propagation. 3. Set up an activation time tracker: - The tracker records the time of first activation for each tissue element. 4. Run the Aliev-Panfilov model to simulate wave dynamics. 5. Extract and visualize the activation time map. Application: ------------ Tracking activation times is useful for: - Analyzing conduction velocity in cardiac tissue. - Detecting conduction blocks or delays in pathological conditions. - Comparing different tissue properties (e.g., isotropic vs. anisotropic). Visualization: -------------- The activation time map is displayed using matplotlib, with a color-coded representation of activation delays across the tissue. """""" import matplotlib.pyplot as plt import finitewave as fw # create a mesh of cardiomyocytes (elems = 1): n = 200 tissue = fw.CardiacTissue2D([n, n]) # set up stimulation parameters: stim_sequence = fw.StimSequence() stim_sequence.add_stim(fw.StimVoltageCoord2D(time=0, volt_value=1, x1=0, x2=3, y1=0, y2=n)) # set up tracker parameters: tracker_sequence = fw.TrackerSequence() act_time_tracker = fw.ActivationTime2DTracker() act_time_tracker.threshold = 0.5 act_time_tracker.step = 100 # calculate activation time every 100 steps tracker_sequence.add_tracker(act_time_tracker) # create model object and set up parameters: aliev_panfilov = fw.AlievPanfilov2D() aliev_panfilov.dt = 0.01 aliev_panfilov.dr = 0.25 aliev_panfilov.t_max = 50 # add the tissue and the stim parameters to the model object: aliev_panfilov.cardiac_tissue = tissue aliev_panfilov.stim_sequence = stim_sequence aliev_panfilov.tracker_sequence = tracker_sequence aliev_panfilov.run() # plot the activation time map plt.imshow(act_time_tracker.output, cmap=""viridis"") cbar = plt.colorbar() cbar.ax.set_ylabel('Time (model units)', rotation=270, labelpad=15) plt.title(""Activation time map"") plt.show() ","Python" "Cell biology","finitewave/Finitewave","examples/trackers/2D/local_activation_times_2d_tracker.py",".py","4218","129",""""""" Tracking Local Activation Time in 2D Cardiac Tissue =================================================== Overview: --------- This example demonstrates how to use the `LocalActivationTime2DTracker` to track multiple local activation events over time in a 2D cardiac tissue simulation using the Aliev-Panfilov model. Unlike `ActivationTime2DTracker`, which stores only the first activation time per cell, this tracker captures all threshold crossings during a specified time window. Simulation Setup: ----------------- - Tissue Grid: A 200×200 cardiac tissue domain. - Spiral Wave Initiation: - First stimulus at t = 0 along the top edge. - Second stimulus at t = 50 applied to the right half of the tissue. - Time and Space Resolution: - Temporal step (dt): 0.01 - Spatial resolution (dr): 0.3 - Total simulation time (t_max): 200 Local Activation Time Tracking: ------------------------------- - Threshold: 0.5 (value of `u` used to detect activation). - Records all threshold crossings per cell during: - `start_time = 100` - `end_time = 200` - Data is recorded every `step = 10` simulation steps. - The tracker outputs a 3D array (num_events, x, y) with activation times. Execution: ---------- 1. Set up a 2D tissue grid and stimulation pattern to induce spiral activity. 2. Configure the `LocalActivationTime2DTracker`. 3. Run the simulation using the Aliev-Panfilov model. 4. Extract and visualize activation maps for selected time points. Application: ------------ - Ideal for analyzing wave reentry, rotation, or drift. - Helps evaluate activation frequency and reactivation patterns. - Useful in quantifying arrhythmogenic behavior over time. Visualization: -------------- Activation time maps are plotted for selected reference time bases (e.g. 150, 170), showing the most recent activation at each location relative to that time base. Output: ------- A set of color-mapped images visualizing activation wavefronts at different times, with all threshold-crossing events taken into account. """""" import matplotlib.pyplot as plt import numpy as np import finitewave as fw # number of nodes on the side n = 200 tissue = fw.CardiacTissue2D([n, n]) # create model object: aliev_panfilov = fw.AlievPanfilov2D() # set up numerical parameters: aliev_panfilov.dt = 0.01 aliev_panfilov.dr = 0.3 aliev_panfilov.t_max = 200 # induce spiral wave: stim_sequence = fw.StimSequence() stim_sequence.add_stim(fw.StimVoltageCoord2D(time=0, volt_value=1, x1=0, x2=n, y1=0, y2=5)) stim_sequence.add_stim(fw.StimVoltageCoord2D(time=50, volt_value=1, x1=n//2, x2=n, y1=0, y2=n)) # set up the tracker: tracker_sequence = fw.TrackerSequence() act_time_tracker = fw.LocalActivationTime2DTracker() act_time_tracker.threshold = 0.5 act_time_tracker.step = 10 act_time_tracker.start_time = 100 act_time_tracker.end_time = 200 tracker_sequence.add_tracker(act_time_tracker) # connect model with tissue, stim and tracker: aliev_panfilov.cardiac_tissue = tissue aliev_panfilov.stim_sequence = stim_sequence aliev_panfilov.tracker_sequence = tracker_sequence # run the simulation: aliev_panfilov.run() # plot the activation time map: time_bases = [150, 170] # time bases to plot the activation time map lats = act_time_tracker.output print(f'Number of LATs: {len(act_time_tracker.output)}') X, Y = np.mgrid[0:n:1, 0:n:1] fig, axs = plt.subplots(ncols=len(time_bases), figsize=(15, 5)) if len(time_bases) == 1: axs = [axs] for i, ax in enumerate(axs): # Select the activation times next closest to the time base mask = np.any(lats >= time_bases[i], axis=0) ids = np.argmax(lats >= time_bases[i], axis=0) ids = tuple((ids[mask], *np.where(mask))) act_time = np.full([n, n], np.nan) act_time[mask] = lats[ids] act_time_min = time_bases[i] act_time_max = time_bases[i] + 30 ax.imshow(act_time, vmin=act_time_min, vmax=act_time_max, cmap='viridis') ax.set_title(f'Activation time: {time_bases[i]} ms') cbar = fig.colorbar(ax.images[0], ax=ax, orientation='vertical') cbar.set_label('Activation Time (ms)') plt.show()","Python" "Cell biology","finitewave/Finitewave","examples/trackers/2D/animation_2d_tracker.py",".py","3267","89",""""""" Creating an Animation of Action Potential in 2D =============================================== Overview: --------- This example demonstrates how to use the `Animation2DTracker` to generate an animation of the action potential (or any other variablse you choose) in a 2D cardiac tissue simulation. The animation is saved as a sequence of frames and can be exported as a video or GIF. Simulation Setup: ----------------- - Tissue Grid: A 200×200 cardiac tissue domain. - Stimulation: - First stimulus is applied to the bottom half of the domain at t = 0. - Second stimulus is applied to the left half at t = 31 to initiate wave break and spiral formation. - Time and Space Resolution: - Temporal step (dt): 0.01 - Spatial resolution (dr): 0.25 - Total simulation time (t_max): 100 Animation Tracker: ------------------ - Tracks the transmembrane potential `u` during the simulation. - Records a frame every 10 steps (`step = 10`). - Frames are saved into the `anim_data/` directory. - Existing data in the directory will be overwritten. - After the simulation, `write()` is called to render the animation: - `shape_scale`: Zoom factor for each frame. - `clear=True`: Deletes all raw frame data after animation is generated. - `fps=30`: Frames per second for the output video. Execution: ---------- 1. Set up cardiac tissue and stimulation sequence. 2. Attach `Animation2DTracker` to the tracker sequence. 3. Run the Aliev-Panfilov model with configured simulation and tracking. 4. Call `write()` to generate and optionally clean up the animation. Application: ------------ - Useful for visualizing wave propagation and reentry. - Can be used in presentations, publications, or model comparisons. - Helps in debugging wave dynamics and understanding tissue behavior. Output: ------- The animation is written to disk in the specified folder (`anim_data`). It shows the evolution of the transmembrane potential over time in the tissue. """""" import numpy as np import finitewave as fw # set up the tissue: n = 200 tissue = fw.CardiacTissue2D([n, n]) # set up stimulation parameters: stim_sequence = fw.StimSequence() stim_sequence.add_stim(fw.StimVoltageCoord2D(0, 1, 0, n, 0, n//2)) stim_sequence.add_stim(fw.StimVoltageCoord2D(31, 1, 0, n//2, 0, n)) # set up tracker parameters: tracker_sequence = fw.TrackerSequence() animation_tracker = fw.Animation2DTracker() animation_tracker.variable_name = ""u"" # Specify the variable to track animation_tracker.dir_name = ""anim_data"" animation_tracker.step = 10 animation_tracker.overwrite = True # Remove existing files in dir_name tracker_sequence.add_tracker(animation_tracker) # create model object: aliev_panfilov = fw.AlievPanfilov2D() # set up numerical parameters: aliev_panfilov.dt = 0.01 aliev_panfilov.dr = 0.25 aliev_panfilov.t_max = 100 # add the tissue and the stim parameters to the model object: aliev_panfilov.cardiac_tissue = tissue aliev_panfilov.stim_sequence = stim_sequence aliev_panfilov.tracker_sequence = tracker_sequence # run the model: aliev_panfilov.run() # write animation and clear the snapshot folder animation_tracker.write(shape_scale=5, clear=True, fps=30, clim=[0, 1]) # !Note: for ionic models use clim=[-90, 40] or similar to show the activity correctly","Python" "Cell biology","finitewave/Finitewave","examples/trackers/2D/spiral_wave_period_2d_tracker.py",".py","3759","108",""""""" Measuring Wave Period in 2D Cardiac Tissue ========================================== Overview: --------- This example demonstrates how to use the `Period2DTracker` to measure the wave period at specific locations in a 2D cardiac tissue simulation. This is particularly useful for analyzing repetitive wave activity, such as spiral waves or regular pacing, and for determining local cycle lengths. Simulation Setup: ----------------- - Tissue Grid: A 200×200 cardiac tissue domain. - Stimulation: - First stimulus applied to the bottom half of the domain at t = 0. - Second stimulus applied to the left half at t = 31 to initiate reentry. - Time and Space Resolution: - Temporal step (dt): 0.01 - Spatial resolution (dr): 0.25 - Total simulation time (t_max): 300 Wave Period Tracking: --------------------- - A list of detector positions is provided through the `cell_ind` parameter: - Positions: (1,1), (5,5), (7,3), (9,1), (100,100), (150,3), (100,150) - The tracker monitors threshold crossings at each specified cell to calculate the local activation period. - Tracking starts at `start_time = 100` and is evaluated every `step = 10` steps. - Threshold voltage for detection is set to `0.5`. Execution: ---------- 1. Create and configure a 2D cardiac tissue grid. 2. Apply sequential stimulation to induce spiral or repetitive wave activity. 3. Configure the `Period2DTracker` with desired cell indices. 4. Run the Aliev-Panfilov model and track the period at each specified location. 5. Plot the average and standard deviation of the measured periods. Application: ------------ - Useful for analyzing cycle lengths during sustained wave activity. - Applicable in reentry studies, tissue heterogeneity analysis, or pacing experiments. - Helps evaluate the spatial variability of wave dynamics and rhythm regularity. Output: ------- The resulting plot shows the mean wave period at each detector location, along with error bars indicating standard deviation over time. """""" import matplotlib.pyplot as plt import numpy as np import finitewave as fw # number of nodes on the side n = 200 tissue = fw.CardiacTissue2D([n, n]) # create model object: aliev_panfilov = fw.AlievPanfilov2D() aliev_panfilov.dt = 0.01 aliev_panfilov.dr = 0.25 aliev_panfilov.t_max = 300 # set up stimulation parameters: stim_sequence = fw.StimSequence() stim_sequence.add_stim(fw.StimVoltageCoord2D(0, 1, 0, n, 0, n//2)) stim_sequence.add_stim(fw.StimVoltageCoord2D(31, 1, 0, n//2, 0, n)) tracker_sequence = fw.TrackerSequence() # add action potential tracker # # add period tracker: period_tracker = fw.Period2DTracker() # Here we create an int array of detectors as a list of positions in which we want to calculate the period. positions = np.array([[1, 1], [5, 5], [7, 3], [9, 1], [100, 100], [150, 3], [100, 150]]) period_tracker.cell_ind = positions period_tracker.threshold = 0.5 period_tracker.start_time = 100 period_tracker.step = 10 tracker_sequence.add_tracker(period_tracker) # add the tissue and the stim parameters to the model object: aliev_panfilov.cardiac_tissue = tissue aliev_panfilov.stim_sequence = stim_sequence aliev_panfilov.tracker_sequence = tracker_sequence aliev_panfilov.run() # get the wave period as a pandas Series with the cell index as the index: periods = period_tracker.output # plot the wave period: plt.figure() plt.errorbar(range(len(positions)), periods.apply(lambda x: x.mean()), yerr=periods.apply(lambda x: x.std()), fmt='o') plt.xticks(range(len(positions)), [f'({x[0]}, {x[1]})' for x in positions], rotation=45) plt.xlabel('Cell Index') plt.ylabel('Period') plt.title('Wave period') plt.tight_layout() plt.show()","Python" "Cell biology","finitewave/Finitewave","examples/trackers/2D/variables_2d_tracker.py",".py","3039","92",""""""" Tracking State Variables in 2D Cardiac Tissue ============================================= Overview: --------- This example demonstrates how to use the `MultiVariable2DTracker` to record the values of multiple state variables (such as `u` and `v`) at a specific cell in a 2D cardiac tissue simulation using the Aliev-Panfilov model. Simulation Setup: ----------------- - Tissue Grid: A 100×100 cardiac tissue domain. - Stimulation: - A stimulus is applied to the left edge of the domain at t = 0 to initiate wave propagation. - Time and Space Resolution: - Temporal step (dt): 0.01 - Spatial resolution (dr): 0.25 - Total simulation time (t_max): 100 State Variable Tracking: ------------------------ - The `MultiVariable2DTracker` is used to track both: - `u`: Transmembrane potential - `v`: Recovery variable - Tracking location is set via `cell_ind = [30, 30]`. - Variable values are recorded at every time step. Execution: ---------- 1. Set up a 2D cardiac tissue grid and stimulation pattern. 2. Attach the `MultiVariable2DTracker` to record `u` and `v` at one node. 3. Run the simulation using the Aliev-Panfilov model. 4. Plot the recorded values over time to analyze the local action potential dynamics. Application: ------------ - Useful for analyzing the temporal dynamics of variables at specific tissue points. - Can help validate model behavior or compare different cell locations. - Ideal for creating time series data for further signal analysis or machine learning tasks. Output: ------- The resulting plot shows the evolution of both `u` and `v` at the selected cell, providing insight into the local electrophysiological response to stimulation. """""" import matplotlib.pyplot as plt import numpy as np import finitewave as fw # number of nodes on the side n = 100 tissue = fw.CardiacTissue2D([n, n]) # create model object: aliev_panfilov = fw.AlievPanfilov2D() # set up numerical parameters: aliev_panfilov.dt = 0.01 aliev_panfilov.dr = 0.25 aliev_panfilov.t_max = 100 # set up stimulation parameters: stim_sequence = fw.StimSequence() stim_sequence.add_stim(fw.StimVoltageCoord2D(0, 1, 0, 3, 0, n)) tracker_sequence = fw.TrackerSequence() # add the variable tracker: multivariable_tracker = fw.MultiVariable2DTracker() # to specify the mesh node under the measuring - use the cell_ind field: multivariable_tracker.cell_ind = [30, 30] multivariable_tracker.var_list = [""u"", ""v""] tracker_sequence.add_tracker(multivariable_tracker) # add the tissue and the stim parameters to the model object: aliev_panfilov.cardiac_tissue = tissue aliev_panfilov.stim_sequence = stim_sequence aliev_panfilov.tracker_sequence = tracker_sequence aliev_panfilov.run() # plot the action potential and state variable v at the measuring point time = np.arange(len(multivariable_tracker.output[""u""])) * aliev_panfilov.dt plt.plot(time, multivariable_tracker.output[""u""], label=""u"") plt.plot(time, multivariable_tracker.output[""v""], label=""v"") plt.legend(title=aliev_panfilov.__class__.__name__) plt.show()","Python" "Cell biology","finitewave/Finitewave","examples/trackers/2D/action_potential_2d_tracker.py",".py","3084","98"," """""" Tracking Action Potentials in 2D Cardiac Tissue =============================================== Overview: --------- This example demonstrates how to track action potentials at specific cell locations in a 2D cardiac tissue simulation using the ActionPotential2DTracker class in Finitewave. Action potential tracking is crucial for analyzing electrophysiological responses at different tissue points. Simulation Setup: ----------------- - Tissue Grid: A 100×100 cardiac tissue domain. - Stimulation: - A left-side stimulus is applied at time t = 0. - The excitation wave propagates across the tissue. - Action Potential Tracking: - Action potentials are recorded at two specific cells: - Cell at (30, 30) - Cell at (70, 70) - Sampling step: Every time step (1 ms). - Time and Space Resolution: - Temporal step (dt): 0.01 - Spatial resolution (dr): 0.25 - Total simulation time (t_max): 50 Execution: ---------- 1. Create a 2D cardiac tissue grid. 2. Apply stimulation at the left boundary. 3. Set up an action potential tracker: - The tracker records the membrane potential over time at specified cell indices. 4. Run the Aliev-Panfilov model to simulate wave propagation. 5. Extract and visualize action potential waveforms. Application: ------------ Tracking action potentials is useful for: - Studying cardiac excitability at different spatial locations. - Comparing action potential durations across various tissue points. - Analyzing arrhythmias or conduction abnormalities in excitable media. Visualization: -------------- The action potentials recorded at the selected cells are plotted over time using matplotlib. The graph shows the voltage dynamics of the excited regions. """""" import matplotlib.pyplot as plt import numpy as np import finitewave as fw # create a mesh of cardiomyocytes (elems = 1): n = 100 m = 100 tissue = fw.CardiacTissue2D([m, n]) # set up stimulation parameters: stim_sequence = fw.StimSequence() stim_sequence.add_stim(fw.StimVoltageCoord2D(0, 1, 0, 3, 0, n)) # set up tracker parameters: tracker_sequence = fw.TrackerSequence() action_pot_tracker = fw.ActionPotential2DTracker() # to specify the mesh node under the measuring - use the cell_ind field: # eather list or list of lists can be used action_pot_tracker.cell_ind = [[30, 30], [70, 70]] action_pot_tracker.step = 1 tracker_sequence.add_tracker(action_pot_tracker) # create model object and set up parameters: aliev_panfilov = fw.AlievPanfilov2D() aliev_panfilov.dt = 0.01 aliev_panfilov.dr = 0.25 aliev_panfilov.t_max = 50 # add the tissue and the stim parameters to the model object: aliev_panfilov.cardiac_tissue = tissue aliev_panfilov.stim_sequence = stim_sequence aliev_panfilov.tracker_sequence = tracker_sequence aliev_panfilov.run() # plot the action potential time = np.arange(len(action_pot_tracker.output)) * aliev_panfilov.dt plt.figure() plt.plot(time, action_pot_tracker.output[:, 0], label=""cell_30_30"") plt.plot(time, action_pot_tracker.output[:, 1], label=""cell_70_70"") plt.legend(title='Aliev-Panfilov') plt.show() ","Python" "Cell biology","finitewave/Finitewave","examples/fibrosis/2D/labyrinth_propagation.py",".py","2718","85",""""""" Simulation in Complex Labyrinth-Like Geometry ============================================= This example demonstrates wave propagation through a 2D cardiac tissue with a custom-designed labyrinth-like structure. The geometry is created manually by setting up regions of obstacles (non-conductive) within a conductive domain. The resulting structure mimics pathways similar to fibrotic maze-like or post-surgical scarred tissue. Wavefront propagation is visualized using Finitewave’s Animation2DTracker, and the result shows how the wave navigates through the complex network of narrow channels and dead-ends. Setup: ------ - Tissue size: 300 × 300 - Geometry: • Obstacles are placed in alternating vertical bands • Bands are offset to form a labyrinth pattern • `tissue.mesh` uses 1 (myocytes) and 0 (obstacles) - Stimulus: • A short planar stimulus applied to a small strip on the left side • Time: t = 0 ms - Model: • Aliev-Panfilov 2D model • Total time: 200 ms - Visualization: • Voltage (`u`) is tracked every 10 steps • Animation frames are saved and compiled to visualize dynamics Output: ------- To visualize the result, refer to the generated animation (e.g., `complex_geometry.mp4`) showing how wavefronts propagate within the complex structure. """""" import matplotlib.pyplot as plt import numpy as np import shutil import finitewave as fw # number of nodes on the side n = 300 tissue = fw.CardiacTissue2D([n, n]) # create a mesh of cardiomyocytes (elems = 1): for i in range(0, 40, 5): if i%10 == 0: tissue.mesh[10*i:10*(i+3), :250] = 0 else: tissue.mesh[10*i:10*(i+3), 50:] = 0 # create model object: aliev_panfilov = fw.AlievPanfilov2D() # set up numerical parameters: aliev_panfilov.dt = 0.01 aliev_panfilov.dr = 0.25 aliev_panfilov.t_max = 200 # set up stimulation parameters: stim_sequence = fw.StimSequence() stim_sequence.add_stim(fw.StimVoltageCoord2D(0, 1, 0, int(n*0.03), 0, n)) tracker_sequence = fw.TrackerSequence() animation_tracker = fw.Animation2DTracker() animation_tracker.variable_name = ""u"" # Specify the variable to track animation_tracker.dir_name = ""anim_data"" animation_tracker.step = 10 animation_tracker.overwrite = True # Remove existing files in dir_name tracker_sequence.add_tracker(animation_tracker) # add the tissue and the stim parameters to the model object: aliev_panfilov.cardiac_tissue = tissue aliev_panfilov.stim_sequence = stim_sequence aliev_panfilov.tracker_sequence = tracker_sequence aliev_panfilov.run() # write animation and clear the snapshot folder animation_tracker.write(shape_scale=5, clear=True, fps=30) ","Python" "Cell biology","finitewave/Finitewave","examples/fibrosis/2D/structural_anisotropy_2d.py",".py","2462","80",""""""" Structural Anisotropy in 2D Due to Interstitial Fibrosis ========================================================= This example demonstrates how interstitial fibrosis can create structural anisotropy in a 2D cardiac tissue. The fibrotic pattern causes directionally preferential conduction, leading to an elliptical spread of excitation from a point stimulus. Unlike fiber-based anisotropy, which is driven by directional conductivity, this anisotropy arises purely from the geometry of the fibrotic microstructure. Setup: ------ - Tissue: 2D grid of size 400×400 - Fibrosis: • Type: Interstitial (structured, linear obstacles) • Density: 15% • Strand size: 1 pixel wide × 4 pixels long (aligned in j-direction) - Stimulus: • Type: Voltage stimulus • Location: Center of the tissue • Shape: Square (10×10 pixels) • Time: Applied at t = 0 ms Model: ------ - Aliev-Panfilov 2D reaction-diffusion model - Simulation time: 30 ms - Time step: 0.01 ms - Spatial resolution: 0.25 mm Observation: ------------ Due to the aligned fibrotic obstacles, the excitation wavefront becomes elliptical, spreading more easily in the direction perpendicular to the fibrosis strands. This mimics real-world structural anisotropy seen in interstitial fibrosis. Applications: ------------- This example is useful for exploring: - Structural sources of conduction anisotropy - Functional impact of interstitial fibrosis geometry - Wavefront deformation and vulnerability to reentry """""" import numpy as np import matplotlib.pyplot as plt import finitewave as fw n = 400 # create mesh tissue = fw.CardiacTissue2D((n, n)) tissue.add_pattern(fw.Structural2DPattern(density=0.15, length_i=1, length_j=4, x1=0, x2=n, y1=0, y2=n)) # set up stimulation parameters: stim_sequence = fw.StimSequence() stim_sequence.add_stim(fw.StimVoltageCoord2D(0, 1, n//2 - 5, n//2 + 5, n//2 - 5, n//2 + 5)) # create model object and set up parameters: aliev_panfilov = fw.AlievPanfilov2D() aliev_panfilov.dt = 0.01 aliev_panfilov.dr = 0.25 aliev_panfilov.t_max = 30 # add the tissue and the stim parameters to the model object: aliev_panfilov.cardiac_tissue = tissue aliev_panfilov.stim_sequence = stim_sequence # run the model: aliev_panfilov.run() # show the potential map at the end of calculations: plt.title(""Structural Anisotropy 2D"") plt.imshow(aliev_panfilov.u) plt.colorbar() plt.show() ","Python" "Cell biology","finitewave/Finitewave","examples/fibrosis/2D/interstitial_fibrosis_2d.py",".py","1550","49",""""""" 2D Interstitial Fibrosis Pattern (20% Density, 4-Pixel Length) ============================================================== This example demonstrates how to generate a 2D cardiac tissue with an interstitial fibrosis pattern using the `Structural2DPattern` class from Finitewave. Interstitial fibrosis is modeled as thin, linear fibrotic structures or strands, typically aligned along fibers or tissue direction. These structures act as barriers to conduction, affecting wave propagation. Setup: ------ - Grid size: 200 × 200 - Fibrosis type: Interstitial (structured linear insertions) - Fibrosis density: 20% - Strand dimensions: • i-direction thickness: 1 pixel • j-direction length: 4 pixels - Fibrosis applied uniformly over the whole domain Visualization: -------------- The generated tissue is shown as a 2D image: - Green regions: healthy, conductive tissue - Yellow linear elements: fibrotic, non-conductive strands (interstitial fibrosis) Application: ------------ This type of structured pattern is useful for simulating how thin fibrotic barriers affect action potential propagation, slow conduction, and create substrates for reentrant activity. """""" import matplotlib.pyplot as plt import finitewave as fw n = 200 # create mesh tissue = fw.CardiacTissue2D((n, n)) tissue.add_pattern(fw.Structural2DPattern(density=0.2, length_i=1, length_j=4, x1=0, x2=n, y1=0, y2=n)) plt.title(""2D Interstitial Fibrosis Medium with 20% Fibrosis Density and 4 pixels length"") plt.imshow(tissue.mesh) plt.colorbar() plt.show()","Python" "Cell biology","finitewave/Finitewave","examples/fibrosis/2D/wave_propagation_delay_2d.py",".py","2454","82",""""""" Propagation Delay Due to Diffuse Fibrosis ========================================= This example compares wave propagation in two 2D cardiac tissues: one healthy (no fibrosis) and one with 20% diffuse fibrosis. A planar wave stimulus is applied from the left side of the tissue, and propagation is simulated using the Aliev-Panfilov model. The resulting transmembrane potential maps clearly show how diffuse fibrosis slows down the conduction, causing a visible delay in activation front propagation compared to the healthy tissue. Setup: ------ - Tissue size: 300 × 300 - Fibrosis type: Diffuse (random spatial blockage) - Fibrosis density: 20% (in fibrotic case) - Stimulus: • Type: Voltage • Applied on leftmost 5 columns of the tissue • Time: t = 0 ms - Model: Aliev-Panfilov 2D - Time window: 20 ms Visualization: -------------- The resulting `u` (voltage) maps are plotted side by side to highlight the delayed wavefront in the fibrotic tissue. """""" import matplotlib.pyplot as plt import finitewave as fw n = 300 stim_x1, stim_x2 = 0, 5 # planar stimulus strip def setup_tissue(with_fibrosis): tissue = fw.CardiacTissue2D((n, n)) if with_fibrosis: tissue.add_pattern(fw.Diffuse2DPattern(density=0.2)) return tissue def run_simulation(tissue): stim_sequence = fw.StimSequence() stim_sequence.add_stim(fw.StimVoltageCoord2D(0, 1, x1=stim_x1, x2=stim_x2, y1=0, y2=n)) model = fw.AlievPanfilov2D() model.dt = 0.01 model.dr = 0.25 model.t_max = 20 model.cardiac_tissue = tissue model.stim_sequence = stim_sequence model.run() return model # Run simulations print(""Running healthy tissue..."") healthy_tissue = setup_tissue(with_fibrosis=False) healthy_model = run_simulation(healthy_tissue) print(""Running fibrotic tissue (20% diffuse)..."") fibrotic_tissue = setup_tissue(with_fibrosis=True) fibrotic_model = run_simulation(fibrotic_tissue) # Plot results fig, axs = plt.subplots(1, 2, figsize=(12, 5)) axs[0].imshow(healthy_model.u, cmap=""viridis"", origin=""lower"") axs[0].set_title(""Healthy Tissue (No Fibrosis)"") axs[0].axis(""off"") axs[1].imshow(fibrotic_model.u, cmap=""viridis"", origin=""lower"") axs[1].set_title(""Diffuse Fibrosis (20%)"") axs[1].axis(""off"") fig.suptitle(""Propagation Delay Due to Fibrosis"", fontsize=16) plt.tight_layout() plt.show() ","Python" "Cell biology","finitewave/Finitewave","examples/fibrosis/2D/diffuse_fibrosis_2d.py",".py","1131","38",""""""" 2D Diffuse Fibrosis Pattern (20% Density) ========================================= This example demonstrates how to generate a 2D cardiac tissue with a diffuse fibrosis pattern using the `Diffuse2DPattern` class in Finitewave. Fibrotic tissue regions are marked as non-conductive areas in the mesh, and this affects wave propagation in subsequent simulations. Setup: ------ - Grid size: 200 × 200 - Fibrosis type: Diffuse (random spatial distribution) - Fibrosis density: 20% (i.e., 20% of cells are fibrotic/non-conductive) Visualization: -------------- The generated tissue is shown as a 2D image: - Green cells represent healthy (conductive) tissue - Yellow cells represent fibrotic (non-conductive) areas This mesh can be used in simulations to study how diffuse fibrosis alters electrical propagation, reentry, and arrhythmogenesis. """""" import matplotlib.pyplot as plt import finitewave as fw n = 200 # create mesh tissue = fw.CardiacTissue2D((n, n)) tissue.add_pattern(fw.Diffuse2DPattern(0.2)) plt.title(""2D Diffuse Fibrosis Medium with 20% Fibrosis Density"") plt.imshow(tissue.mesh) plt.colorbar() plt.show()","Python" "Cell biology","finitewave/Finitewave","Tutorials/SpiralWaves2D.ipynb",".ipynb","532084","417","{ ""cells"": [ { ""cell_type"": ""markdown"", ""metadata"": {}, ""source"": [ ""## Spiral Wave Initiation"" ] }, { ""cell_type"": ""markdown"", ""metadata"": {}, ""source"": [ ""### Temporal block"" ] }, { ""cell_type"": ""code"", ""execution_count"": 22, ""metadata"": {}, ""outputs"": [ { ""name"": ""stderr"", ""output_type"": ""stream"", ""text"": [ ""Running AlievPanfilov2D: 100%|██████████| 1000/1000 [00:00<00:00, 3580.19it/s]\n"", ""Running AlievPanfilov2D: 100%|█████████▉| 3600/3601 [00:00<00:00, 4181.81it/s]\n"", ""Running AlievPanfilov2D: 100%|█████████▉| 10398/10400 [00:02<00:00, 4158.74it/s]\n"" ] }, { ""data"": { ""image/png"": 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"", 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"" ] }, ""metadata"": {}, ""output_type"": ""display_data"" } ], ""source"": [ ""\n"", ""import matplotlib.pyplot as plt\n"", ""\n"", ""import finitewave as fw\n"", ""\n"", ""\n"", ""class UpdateMesh(fw.Command):\n"", "" \""\""\""\n"", "" Update the mesh of the cardiac tissue during the simulation.\n"", "" \""\""\""\n"", "" def __init__(self, time, updated_mesh):\n"", "" \""\""\""\n"", "" Initialize the command with the time and the updated mesh.\n"", ""\n"", "" Args:\n"", "" time (int): The time at which the mesh is updated.\n"", "" updated_mesh (numpy.ndarray): The updated mesh.\n"", "" \""\""\""\n"", "" super().__init__(time)\n"", "" self.updated_mesh = updated_mesh\n"", ""\n"", "" def execute(self, model):\n"", "" model.cardiac_tissue.mesh = self.updated_mesh\n"", "" model.compute_weights()\n"", ""\n"", ""\n"", ""# set up the tissue:\n"", ""n = 256\n"", ""tissue = fw.CardiacTissue2D([n, n])\n"", ""tissue.mesh[n//2, :n//2] = 2\n"", ""\n"", ""mesh_without_block = tissue.mesh.copy()\n"", ""mesh_without_block[n//2, :n//2] = 1\n"", ""\n"", ""# set up stimulation parameters:\n"", ""stim_sequence = fw.StimSequence()\n"", ""stim_sequence.add_stim(fw.StimVoltageCoord2D(time=0, volt_value=1,\n"", "" x1=0, x2=n//2, y1=0, y2=5))\n"", ""# stim_sequence.add_stim(fw.StimVoltageCoord2D(time=50, volt_value=1,\n"", ""# x1=n//2, x2=n, y1=0, y2=n))\n"", ""\n"", ""command_sequence = fw.CommandSequence()\n"", ""command_sequence.add_command(UpdateMesh(45, mesh_without_block))\n"", ""\n"", ""# create model object:\n"", ""model = fw.AlievPanfilov2D()\n"", ""# set up numerical parameters:\n"", ""model.dt = 0.01\n"", ""model.dr = 0.3\n"", ""model.t_max = 10\n"", ""\n"", ""# add the tissue and the stim parameters to the model object:\n"", ""model.cardiac_tissue = tissue\n"", ""model.stim_sequence = stim_sequence\n"", ""model.command_sequence = command_sequence\n"", ""\n"", ""model.run()\n"", ""u_10 = model.u.copy()\n"", ""\n"", ""model.t_max = 46\n"", ""model.run(initialize=False)\n"", ""u_46 = model.u.copy()\n"", ""\n"", ""model.t_max = 150\n"", ""model.run(initialize=False)\n"", ""u_150 = model.u.copy()\n"", ""\n"", ""\n"", ""fig, axs = plt.subplots(ncols=3)\n"", ""axs[0].imshow(u_10, cmap='hot')\n"", ""axs[1].imshow(u_46, cmap='hot')\n"", ""axs[2].imshow(u_150, cmap='hot')\n"", ""plt.show()\n"" ] }, { ""cell_type"": ""markdown"", ""metadata"": {}, ""source"": [ ""### Two cross stimuls (S1S2)\n"", ""\n"", ""This section demonstrates how to initiate a **spiral wave** in 2D cardiac tissue \n"", ""using a classical **cross-field S1–S2 stimulation** protocol.\n"", ""\n"", ""The protocol applies two stimuli:\n"", ""1. **S1**: a planar wave from one edge (top to bottom)\n"", ""2. **S2**: a transverse wave from one side (left to right)"" ] }, { ""cell_type"": ""code"", ""execution_count"": 23, ""metadata"": {}, ""outputs"": [ { ""name"": ""stderr"", ""output_type"": ""stream"", ""text"": [ ""Running AlievPanfilov2D: 100%|██████████| 5100/5100 [00:01<00:00, 4119.51it/s]\n"", ""Running AlievPanfilov2D: 100%|█████████▉| 14900/14901 [00:03<00:00, 4153.31it/s]\n"" ] } ], ""source"": [ ""\n"", ""import matplotlib.pyplot as plt\n"", ""\n"", ""import finitewave as fw\n"", ""\n"", ""# set up the tissue:\n"", ""n = 256\n"", ""tissue = fw.CardiacTissue2D([n, n])\n"", ""\n"", ""\n"", ""# set up stimulation parameters:\n"", ""stim_sequence = fw.StimSequence()\n"", ""stim_sequence.add_stim(fw.StimVoltageCoord2D(time=0, volt_value=1,\n"", "" x1=0, x2=n, y1=0, y2=5))\n"", ""stim_sequence.add_stim(fw.StimVoltageCoord2D(time=50, volt_value=1,\n"", "" x1=n//2, x2=n, y1=0, y2=n))\n"", ""\n"", ""# create model object:\n"", ""model = fw.AlievPanfilov2D()\n"", ""# set up numerical parameters:\n"", ""model.dt = 0.01\n"", ""model.dr = 0.3\n"", ""model.t_max = 51\n"", ""# add the tissue and the stim parameters to the model object:\n"", ""model.cardiac_tissue = tissue\n"", ""model.stim_sequence = stim_sequence\n"", ""\n"", ""model.run()\n"", ""\n"", ""u_s2 = model.u.copy() # save the model at the moment of the second stimulation\n"", ""\n"", ""model.t_max = 200\n"", ""model.run(initialize=False)"" ] }, { ""cell_type"": ""code"", ""execution_count"": 24, ""metadata"": {}, ""outputs"": [ { ""data"": { ""image/png"": 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"", ""text/plain"": [ ""
"" ] }, ""metadata"": {}, ""output_type"": ""display_data"" } ], ""source"": [ ""# show the spiral waves initiation (t = 51) and final stabilization (t = 251)\n"", ""fig, axs = plt.subplots(ncols=2)\n"", ""axs[0].imshow(u_s2, cmap='hot')\n"", ""axs[0].set_title(\""t = 51\"")\n"", ""axs[1].imshow(model.u, cmap='hot')\n"", ""axs[1].set_title(\""t = 251\"")\n"", ""plt.tight_layout()\n"", ""plt.show()"" ] }, { ""cell_type"": ""markdown"", ""metadata"": {}, ""source"": [ ""### Equvidistant Stimulation\n"", ""This section demonstrates **periodic stimulation** (paced activation) of 2D cardiac tissue with **diffuse fibrosis** that is finaly causing instability due to a high fibrosis density.\n"", ""Here we use 35% randomly distributed **diffuse fibrosis** using `Diffuse2DPattern` - this introduces structural heterogeneity and **wavefront breakup**.\n"" ] }, { ""cell_type"": ""code"", ""execution_count"": 25, ""metadata"": {}, ""outputs"": [ { ""name"": ""stderr"", ""output_type"": ""stream"", ""text"": [ ""Running AlievPanfilov2D: 100%|█████████▉| 9999/10000 [00:01<00:00, 5216.09it/s]\n"", ""Running AlievPanfilov2D: 100%|██████████| 20000/20000 [00:03<00:00, 5326.11it/s]\n"" ] } ], ""source"": [ ""\n"", ""import numpy as np\n"", ""np.random.seed(123) # for reproducibility \n"", ""import matplotlib.pyplot as plt\n"", ""\n"", ""import finitewave as fw\n"", ""\n"", ""\n"", ""# set up the tissue:\n"", ""n = 256\n"", ""tissue = fw.CardiacTissue2D([n, n])\n"", ""tissue.add_pattern(fw.Diffuse2DPattern(0.35))\n"", ""\n"", ""# set up stimulation parameters:\n"", ""stim_sequence = fw.StimSequence()\n"", ""\n"", ""# stimulate the tissue at the top border with a time step of 28:\n"", ""for t in [0, 28, 56, 84]:\n"", "" stim_sequence.add_stim(fw.StimVoltageCoord2D(time=t, volt_value=1,\n"", "" x1=0, x2=n, y1=0, y2=5))\n"", ""\n"", ""# create model object:\n"", ""model = fw.AlievPanfilov2D()\n"", ""# set up numerical parameters:\n"", ""model.dt = 0.01\n"", ""model.dr = 0.3\n"", ""model.t_max = 100\n"", ""# add the tissue and the stim parameters to the model object:\n"", ""model.cardiac_tissue = tissue\n"", ""model.stim_sequence = stim_sequence\n"", ""\n"", ""model.run()\n"", ""u_s2 = model.u.copy() # save the model during the fragmentation process\n"", ""\n"", ""model.t_max = 300\n"", ""model.run(initialize=False)"" ] }, { ""cell_type"": ""code"", ""execution_count"": 26, ""metadata"": {}, ""outputs"": [ { ""data"": { ""image/png"": 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"", 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"" ] }, ""metadata"": {}, ""output_type"": ""display_data"" } ], ""source"": [ ""# show the wavefront fragmentation process t = 100) and the instability (t = 300) \n"", ""fig, axs = plt.subplots(ncols=2)\n"", ""axs[0].imshow(u_s2, cmap='hot')\n"", ""axs[0].set_title(\""t = 100\"")\n"", ""axs[1].imshow(model.u, cmap='hot')\n"", ""axs[1].set_title(\""t = 300\"")\n"", ""plt.tight_layout()\n"", ""plt.show()"" ] }, { ""cell_type"": ""markdown"", ""metadata"": {}, ""source"": [ ""### S1S2 protocol with shorter S2\n"", ""\n"", ""In this section we initiate a **spiral wave** with **26% diffuse fibrosis**. Here we also use \n"", ""**S1–S2 protocol**, where the final extrastimulus (S2) is delivered at a shorter coupling interval \n"", ""than the preceding regular pacing beats (S1)."" ] }, { ""cell_type"": ""code"", ""execution_count"": 27, ""metadata"": {}, ""outputs"": [ { ""name"": ""stderr"", ""output_type"": ""stream"", ""text"": [ ""Running AlievPanfilov2D: 100%|██████████| 16000/16000 [00:03<00:00, 4936.90it/s]\n"", ""Running AlievPanfilov2D: 100%|█████████▉| 24000/24001 [00:04<00:00, 4842.59it/s]\n"" ] } ], ""source"": [ ""np.random.seed(27)\n"", ""import matplotlib.pyplot as plt\n"", ""import finitewave as fw\n"", ""\n"", ""# set up the tissue:\n"", ""n = 256\n"", ""tissue = fw.CardiacTissue2D([n, n])\n"", ""tissue.add_pattern(fw.Diffuse2DPattern(0.26))\n"", ""\n"", ""# set up stimulation parameters:\n"", ""stim_sequence = fw.StimSequence()\n"", ""# stimulate the tissue with a 2x45 prebeats, 3x30 s1 and 1x23 s2:\n"", ""prebeats = np.array([0, 45])\n"", ""s1 = prebeats[-1] + np.array([30, 2 * 30, 3 * 30])\n"", ""s2 = s1[-1] + np.array([23])\n"", ""for t in np.concatenate([prebeats, s1, s2]):\n"", "" stim_sequence.add_stim(fw.StimVoltageCoord2D(time=t, volt_value=1,\n"", "" x1=0, x2=n, y1=0, y2=5))\n"", ""\n"", ""# create model object:\n"", ""model = fw.AlievPanfilov2D()\n"", ""# set up numerical parameters:\n"", ""model.dt = 0.01\n"", ""model.dr = 0.3\n"", ""model.t_max = s2[-1] + 2\n"", ""# add the tissue and the stim parameters to the model object:\n"", ""model.cardiac_tissue = tissue\n"", ""model.stim_sequence = stim_sequence\n"", ""\n"", ""model.run()\n"", ""u_s2 = model.u.copy()\n"", ""\n"", ""model.t_max = 400\n"", ""model.run(initialize=False)"" ] }, { ""cell_type"": ""code"", ""execution_count"": 28, ""metadata"": {}, ""outputs"": [ { ""data"": { ""image/png"": 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"", 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"" ] }, ""metadata"": {}, ""output_type"": ""display_data"" } ], ""source"": [ ""# show the wavefront sequence (t = 159) and the stable spiral wave (t = 400)\n"", ""fig, axs = plt.subplots(ncols=2)\n"", ""axs[0].imshow(u_s2, cmap='hot')\n"", ""axs[0].set_title(f\""t = {s2[-1] + 1}\"")\n"", ""axs[1].imshow(model.u, cmap='hot')\n"", ""axs[1].set_title(\""t = 400\"")\n"", ""plt.tight_layout()\n"", ""plt.show()\n"" ] }, { ""cell_type"": ""code"", ""execution_count"": null, ""metadata"": {}, ""outputs"": [], ""source"": [] } ], ""metadata"": { ""kernelspec"": { ""display_name"": ""base"", ""language"": ""python"", ""name"": ""python3"" }, ""language_info"": { ""codemirror_mode"": { ""name"": ""ipython"", ""version"": 3 }, ""file_extension"": "".py"", ""mimetype"": ""text/x-python"", ""name"": ""python"", ""nbconvert_exporter"": ""python"", ""pygments_lexer"": ""ipython3"", ""version"": ""3.12.6"" } }, ""nbformat"": 4, ""nbformat_minor"": 4 } ","Unknown" "Cell biology","finitewave/Finitewave","Tutorials/RestitutionCurve.ipynb",".ipynb","137565","532","{ ""cells"": [ { ""cell_type"": ""markdown"", ""id"": ""e4bfc0ea-408e-45a9-a4fc-e026929f2cab"", ""metadata"": {}, ""source"": [ ""## Restitution curve\n"", ""\n"", ""This tutorial demonstrates an implementation of the classical S1–S2 extrastimulus protocol for measuring APD restitution using the\n"", ""Luo-Rudy 1991 cardiac electrophysiology model in a 2D tissue.\n"", ""\n"", ""Protocol Overview:\n"", ""------------------\n"", ""- Tissue: 2D grid of size 100×10\n"", ""- Model: Luo-Rudy 1991 (LuoRudy912D)\n"", ""- S1 stimulation:\n"", "" - 10 beats at 400 ms cycle length\n"", "" - Current stimulus applied to a small region near the top\n"", ""- State saving:\n"", "" - State saved at the end of the 10th beat (after ~3600 ms)\n"", ""- S2 protocol:\n"", "" - Single voltage stimulus applied at various coupling intervals (400 → 25 ms)\n"", "" - Model resumes from saved S1 state\n"", "" - Response recorded at the center of the domain\n"", "" - APD90 and DI calculated from the S2 action potential\n"", ""- Plot: APD90 vs DI — the restitution curve\n"", ""\n"", ""Reference:\n"", ""----------\n"", ""Protocol adapted from:\n"", ""\n"", ""Goldhaber JI, Xie L-H, Duong T, Motter C, Khuu K, Weiss JN.\n"", ""\""Action Potential Duration Restitution and Alternans in Rabbit Ventricular Myocytes:\n"", ""The Key Role of Intracellular Calcium Cycling.\""\n"", ""Circulation Research. 2005 Jan 20;96(4):459–466.\n"", ""https://doi.org/10.1161/01.RES.0000156891.66893.83"" ] }, { ""cell_type"": ""code"", ""execution_count"": 3, ""id"": ""f9e47aa7-206a-4cd1-b410-4dd8b08d07be"", ""metadata"": {}, ""outputs"": [], ""source"": [ ""import numpy as np\n"", ""import matplotlib.pyplot as plt\n"", ""import shutil\n"", ""import finitewave as fw\n"", ""\n"", ""# Setup\n"", ""ni = 100\n"", ""nj = 10\n"", ""cell = [ni//2, nj//2]\n"", ""s1_cl = 400 # ms\n"", ""num_s1 = 10 # number of S1 beats\n"", ""s2_intervals = np.arange(400, 0, -25)\n"", ""stim_amp = 50\n"", ""stim_dur = 1 # ms\n"", ""threshold_up = -20 # mV\n"", ""save_time = (num_s1-1) * s1_cl"" ] }, { ""cell_type"": ""markdown"", ""id"": ""4dd13fc6-ae95-44f1-ad0f-e1e54660ecdb"", ""metadata"": {}, ""source"": [ ""### Step 1: Prepacing beats\n"", ""\n"", ""Finitewave’s `StateSaver` and `StateLoader` features are used to avoid\n"", ""repeating the long S1 pacing train for every S2 interval. The model\n"", ""is pre-paced once with 10 regular stimuli at 400 ms intervals to reach\n"", ""steady state, and the state is saved after the final S1 beat."" ] }, { ""cell_type"": ""code"", ""execution_count"": 4, ""id"": ""dec939d9-834a-4b32-b925-d070953e9f95"", ""metadata"": {}, ""outputs"": [ { ""name"": ""stdout"", ""output_type"": ""stream"", ""text"": [ ""Running pre-pacing...\n"" ] }, { ""name"": ""stderr"", ""output_type"": ""stream"", ""text"": [ ""OMP: Info #276: omp_set_nested routine deprecated, please use omp_set_max_active_levels instead.\n"", ""Running LuoRudy912D: 100%|██████████▉| 360000/360001 [00:32<00:00, 10982.81it/s]\n"" ] } ], ""source"": [ ""# Pre-pace the tissue with 10 S1 beats\n"", ""tissue = fw.CardiacTissue2D((ni, nj))\n"", ""stim_sequence = fw.StimSequence()\n"", ""for i in range(num_s1):\n"", "" t = i * s1_cl\n"", "" stim_sequence.add_stim(fw.StimCurrentCoord2D(t, stim_amp, stim_dur, \n"", "" 0, 5,\n"", "" 0, nj))\n"", ""\n"", ""# Save state after 10 S1 beats to reuse for S2 branches\n"", ""state_savers = fw.StateSaverCollection()\n"", ""state_savers.savers.append(fw.StateSaver(\""s1_state\"", time=save_time))\n"", ""\n"", ""# set up tracker parameters:\n"", ""tracker_sequence = fw.TrackerSequence()\n"", ""action_pot_tracker = fw.ActionPotential2DTracker()\n"", ""action_pot_tracker.cell_ind = [[5, 5]]\n"", ""action_pot_tracker.step = 1\n"", ""tracker_sequence.add_tracker(action_pot_tracker)\n"", ""\n"", ""model = fw.LuoRudy912D()\n"", ""model.dt = 0.01\n"", ""model.dr = 0.25\n"", ""model.t_max = save_time + model.dt\n"", ""model.cardiac_tissue = tissue\n"", ""model.stim_sequence = stim_sequence\n"", ""model.tracker_sequence = tracker_sequence\n"", ""model.state_saver = state_savers\n"", ""\n"", ""print(\""Running pre-pacing...\"")\n"", ""model.run()"" ] }, { ""cell_type"": ""code"", ""execution_count"": 5, ""id"": ""bfa9d8be-dddd-4710-a2c3-1771ec833766"", ""metadata"": {}, ""outputs"": [ { ""data"": { ""image/png"": 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+26PLNFvU36QsKuiWMVroJIX1FN8ls0coUW9TdbMnogsIUXU/EQ7fgxFWSCbqff/55jB49GjqdDhEREZg7dy6ysrK6fE97ezvuvvtuhIaGIiAgAFdeeSUqKipEarHwmg1msZtACJE4umlji7qbEOIudD0RkQdE3Z988gmCgoLEboZHWr9+PTiOQ319fY9/ZsqUKbj//vsFa5Nkgu4NGzbg7rvvxvbt27F69WqYTCbMmDEDLS0tzu954IEH8Ntvv2HZsmXYsGEDSktLccUVV4jYamFVNRvFbgIhbkc3EWxR0M0WR6WmiBej6wlb1N9s9bW3t23bBrlcjosvvtjln01KSsJ///vfLp+bN28eTpw40cdWsbFkyRIMHz5ckMfuLlgeP348ysrKEBgYKMhz9oZkzun+888/u3z8ySefICIiAnv27MGkSZPQ0NCAjz76CF999RUuvPBCAMDSpUuRkZGB7du347zzzhOj2YQQF9G2CeLN6B6ZLeputii7nC3qb9Y6Orw3tyofffQRFi1ahI8++gilpaWIiYnpU2u0Wi20Wm2fHsNbqVQqREVFid2MLiSz0n2qhoYGAEBISAgAYM+ePTCZTJg2bZrzewYMGICEhARs27ZNlDYSQoinoyCQrdoWylAi3ouuJ2xRIUzGunS3a2F3c3Mzvv32W9x55524+OKL8cknn5z2Pb/99htGjx4NjUaDsLAwXH755QDsK7kFBQV44IEHwHGc83XvLr383XffRWpqKlQqFfr374/PP/+866/Acfjwww9x+eWXw8/PD+np6fj111/P2vakpCQ888wzmD9/Pvz9/REbG4u33367y/cUFRVh7ty5CAgIgF6vx9VXX+3c4vvJJ5/gqaeewoEDB5zt53//+vp63HrrrQgPD4der8eFF16IAwcOOB+XXyH//PPPkZSUhMDAQFxzzTVoamoCACxYsAAbNmzA66+/7nzs/Pz809LLa2pqMH/+fMTGxsLPzw9DhgzB119/fdbf290ks9LdmdVqxf33348JEyZg8ODBAIDy8nKoVKrTBl9kZCTKy8vP+FgGgwEGg8H5cWNjIwDAZDLBZDK5v/FuJoU2kjPjXz96HTuoFTIYzFYA0uoXqb6WZovV+f9Sa7tQhHwtDSbLac9DhLM1p9b5/9Tfwmto7ZhUcnd/S/UaKySDsaMvjEajZILw3ryWJpMJNpsNVqsVVqv13D8ghE6peFarDRx63o5vvvkGAwYMQHp6Oq699losXrwY//znP52v2fLly3H55Zfj//7v//DJJ5/AaDTijz/+gNVqxffff48RI0Zg4cKFuPXWWx3P39EP/H9/+ukn3HfffXjttdcwdepULF++HDfddBNiYmJwwQUXONvy1FNP4YUXXsCLL76It956C9dddx3y8vKcC5nd+c9//oNHH30UTz75JFatWoX77rsPaWlpmD59OiwWC6677jro9XqsW7cOZrMZixYtwrx587B27VpcddVVOHToEFauXIlVq1YBAAIDA2G1WvG3v/0NWq0Wy5cvR2BgIN5//31MnToVx48fR0hICGw2G3JycvDTTz/h119/RV1dHa655ho8//zzePbZZ/Haa6/hxIkTGDRoEJ566ikAQHh4OHJzc7v0U2trK0aOHImHHnoIer0eK1aswA033IDk5GSMGTOm00ts63Z8Wa1W2Gw2mEwmyOXyLl/r6TiWZNB999134/Dhw9i8eXOfH+v55593vkidrVq1Cn5+fn1+fGF0vGwrVqwQsR3EXVavXi12EzyGHHLw08lSHN9Sey3LG+l6ciZCvJZaswx8khn1t/CaDDS+WSov4wDYb0iF6m+pXWOFdLSuo79/X/EH5NKIuZ1ceS0VCgWioqLQ3NwMo9E+uWOz2dBuYheAm6xAuyO+amhohMKFDv/ggw9w5ZVXorGxEePHj0d9fT3++OMPTJw4EQDwzDPP4IorrsDixYudP3PXXXehsbERCoUCHMdBqVQ6Y5PGxka0t7fDZrM5FwxfeuklXHvttbjuuusAALfccgs2b96MF198EZmZmc7Hveaaa5z7yv/5z3/izTffxPr167tkC3dmtVoxZswY3HnnnQCAG2+8EevXr8fLL7+MsWPHYt26dTh69Cj279+PuLg4AMBbb72FcePGYf369Rg5ciSUSiU4jnO232QyYePGjdi5cydOnjwJtVoNAHj88cfx008/4YsvvsCCBQtgMBhgtVrx+uuvQ6fTISEhAVdddRVWr16Nhx9+GBzHQSaTQaFQOB+7paUFra2tAICmpibIZDLodDosXLjQ+TvdeOONWL58Ob788ksMGDAAAGA2m2E0Gp392ZnRaERbWxs2btwIs7lrIWv+uc5FckH3Pffcg99//x0bN250vrAAEBUVBaPRiPr6+i6r3RUVFWfN6X/00Ue7DPDGxkbEx8djxowZ0Ov1gvwOfXXftlXO/589e7aILSF9ZTKZsHr1akyfPh1KpVLs5niEZw+tR6ujSKCUxrdUX8t/7VuLpnb7G4iU+ltIQr6WfzQewKE6e8od9bfw6P2SrfqdRfgh/xgA9/e3VK+xQtJn1+B/x/cAAKbPmAmNUn6On/AMvXkt29vbUVRUhICAAGg0GgBAq9GMES+KMwmz/4lp0Gt61vasrCzs3bsXv/zyizO2mDdvHr755hvn38nhw4dx++23nzH2kMlk0Gg0Xb6u0WjAcZzzcydPnsQdd9zR5XsmT56MN954o8vnRo0a5fxYr9dDr9ejubn5rM99/vnnd/n6pEmT8Prrr0Ov16OgoACxsbHIyMhwrtyPGTMGQUFBKCwsxJQpU6BWqyGXy7s8Rk5ODlpaWpCamtrl+dra2lBaWgq9Xg+1Wo2kpCTExsY6v56UlITff//d+VgKhQIqlarLY/MBuE6ng16vh8ViwfPPP49ly5ahpKQERqMRBoPB+fuf6XF47e3t0Gq1mDRpknP88boL0rsjmaDbZrNh0aJF+Omnn7B+/XokJyd3+XpmZiaUSiXWrFmDK6+8EoB9kBcWFmLcuHFnfFy1Wu2cXelMqVRK4qIuhTaSc5PKeGNBpei4aZBin0jttYwN0uJ4uX1vlJTazYIQr6XUx7eUUX8LT6PquK0Uqr+ldo0VkkbVqR9kcsn1iyuvpcVica5qymT2bCH+v2Lp6fMvXboUZrO5y2KhzWaDWq3G22+/jcDAQGi12i6/W3f43//U5z/1c50/5oPgzp9Tq9Xn/J5zPXfnn+H//9Tv6dye7p6jpaUF0dHRWL9+/WnPFxQU5Pw5pVJ52u9otVpPa8+Z+kYmk+Gll17CG2+8gf/+978YMmQI/P39cf/998NkMp31cTo/Ht+WU8dsT8ewZILuu+++G1999RV++eUX6HQ65z5tfqAGBgbilltuweLFixESEgK9Xo9FixZh3LhxVLmcEAlRSi0/TuLkVP6WKaVcsvVLCTknRaebVavVBhldXwTV+f3SbPG9oz+0SjmOPj2T2fMZTBacrGwGAGgUPcsqMJvN+Oyzz/DKK69gxowZXb42d+5cfP3117jjjjswdOhQrFmzBjfddFO3j6NSqWCxWLr9Gi8jIwNbtmzB3//+d+fntmzZgoEDB/aorWezffv20z7OyMgAYC9cXVJSgqKiIiQmJgIAjh49ivr6eudzd9f+kSNHory8HAqFAklJSb1uW0/6ZsuWLbjssstw/fXXA7CnzJ84ccItfdNTkgm63333XQD2Cn6dLV26FAsWLAAAvPbaa5DJZLjyyithMBgwc+ZMvPPOO4xbSgjpCwpK2FLQTTFTNKlEvFnnPa4mqxVqmTTSnaWq86SGSaziYiLiOA5+KnahjJzjOlL4e1i07vfff0ddXR1uueWW086MvvLKK/HRRx/hjjvuwJNPPompU6ciNTUV11xzDcxmM1asWIF//vOfAOwp1Rs3bsQ111wDtVqNsLCw057roYcewtVXX40RI0Zg2rRp+O233/Djjz/ir7/+6tsvDnvQ+tJLL2Hu3LlYvXo1li1bhuXLlwMApk2bhoEDB+KGG27Af//7X5jNZtx1112YPHkyRo0a5Wx/Xl6ec9+3TqfDtGnTMG7cOMydOxcvvfQS+vXrh9LSUmdROf5nzyUpKQk7duxAfn4+AgICui0Il56eju+//x5bt25FcHAwXn31VVRUVDANuiVzd2uz2br9xwfcgH1vw9tvv43a2lq0tLTgxx9/9Lgz2gghZ6egoJsp6m+2XCm8Q4jUdJ409cWVVzFRf7Nl62F3f/TRR5g2bdppATdgD7p3796NgwcPYsqUKVi2bBl+/fVXDB8+HBdeeCF27tzp/N6nn34a+fn5SE1NRXh4eLfPNXfuXLz++ut4+eWXMWjQIPzvf//D0qVLT1uw7I1//OMf2L17N0aMGIFnn30Wr776KmbOtGcZcByHL7/8EkFBQZg0aRKmTZuGlJQUfPvtt11+11mzZuGCCy5AeHg4vv76a3AchxUrVmDSpEm46aab0K9fP1xzzTUoKChAZGRkj9v24IMPQi6XY+DAgQgPD0dhYeFp3/Ovf/0LI0eOxMyZMzFlyhRERUVh7ty5fe4XV0hmpZsQ4htUFJQwRSuvbClE3oNIiJA6Z85QEMgW9Tdbth6e0/3bb7+d8WtjxoyBrVP0fsUVV+CKK67o9nvPO++8LudXA/YzqjsvPgLAnXfe6awy3h1bN7MF/FnWZ6PX6/Hdd9+d8evx8fH4+eefz7gvXK1W4/vvvz/t8zqdDm+88QbeeOONbn9uyZIlWLJkSZfP3X///bj//vudH/fr1w/btm3r8j1JSUldfteQkBD8/PPPZ2w/gG73lrsTvftLEN0kE29G6eVsUX+zRddv8XR3s0ncq/P1xBfTncVE/c0WXU6Iq+huS4LUPSzeQIgUUfotW7Snmy1K5xePxUp3ySzRyqvwOgd+1N/Cox4mfUHp5RKkVsjQbBC7FYQIg1Ze2aIgkK3Okxw2m815jAoRhlzGOYNts9UGmrNmx2ShlVeWqL/Z8qXMmfz8fLGb4BXobkuCVAp62Yj3oqCbLUp3Zqvznm5aeRXebecnOf/fSEEJU2Ya30xRf7NFvU1cRXe3EqSioIR4MQoC2aLCXmwpFZ2O+KF0UMElhPg5/5/Sb9ky0yQHU9TfbPnQQjdxE7rbkiA1rXQTL0Yr3WzRHnq2lDIqNMVS55IFFJSwRZNKbPlKJoenpHX3tHo58Q7uGHd0dytBamXHy+YpFx9vtqegDjd8tAMnK5rEbopP6JzJQem3wlPSSjdTnSc5TGbfuEn2FCa6njBFe4zZ8vZMDqVSCQBobW0VuSV2dPvtW/hxx4/D3qBCahLUOSgxWqxUzVxgV767FQCwYOkubHnkQpFb4/26HDljsUIuo/EtJFrpZkvGUXq5WGiSgy0Kutny9v6Wy+UICgpCZWUlAMDPz495IUqDyQKb2Wj//3YZ2mXe3ec9ZbVaYTQa0d7efsZzuqXKZrOhtbUVlZWVCAoKglze+3tSCrolqHN6ucFMQTcrJfVtYjfBJ3RZCbRYoVHS+BaS8pTMAjkdIcaMt98kexozpfMzRZNKbPnC9SQqKgoAnIE3ayaLFZWN9uODTPVK1KopjALsgWlbWxu0Wq3XnsgRFBTkHH+9RaNFgjrfJBtMVkAjYmMIcbOuK9100yY05SmTHJRZwI4v3CR7ErqesEXjmy1fGN8cxyE6OhoREREwmUzMn7+wtgVLftkFALh3ajouGxDLvA2eyGQyYePGjZg0aVKf0q89lVKp7NMKN4+CbinqNInkK4UziO/omn5L41tonSc56MgZtnzhJtmTePueV09D12+2fKm/5XK5W4Igl59XaUZJkwUA0GqRQaOhVS/A/nqYzWZoNBqvDLrdxbsS732QwWQRuwmECMZIezAFp+icWUD9zZQv3SSLpXOxI5qkZosmldii6wlb1N/EVRR0S5yBbpKJF6M3NeHJKbNANNTfbNGRYWzR+GaLJjnYov4mrqKgW+Io6CbepvPZl5TuzBYdqSS8zsc80k0bW3Q9EV7n6zcF3SxQf7PUJXOG7r+JiyjoliL6oyc+gsY3W5RezhbdJLNF6eVs0fhmi/qbLToNgbiKgm6JM5hpTzfxXnQTwRbdRLBFQSBbVEiNLcrkYIv6my3qb+IqCrolzmCimzbivehNTXid00GNZupvliizgC2axGOL+pst6m+2KBOPuIqCbomjPd3Em9FNBFu00s0W7TFmi64nbFF/s0X9zRb1N3EVBd0SZ7RQejnxXpR+yxbdRLBF/c0WZc6wRf3NFvU3W7RdhbiKgm6Jo/Ry4s3oTY0tumlji9IT2aJJDraov9mi/maL+pu4ioJuiaP0cuLN6E2NLepvtmiSgy0a32xRf7NF/c0WZeIRV1HQLXFUvZx4M7qJYIv6my3qb7Yos4AtmlRiy0SFMJmi6zdxFQXdEteTm4hWoxlWKthDJIhuktmim2S26KZNeJ1HNI1vtuj6zRZdT9ii7W/EVQqxG0D65mzp5RtPVOHp348iu7IZOrUCc0fEYvH0fgj2VzFsISG9RzfJbNFNG1s0vtky0/hmik5DYMtEiytMUXo5cRWtdEvcmYLutccrcNMnu5Bd2QwAaDKY8fn2Asz870YcLK5n2EJCeo+CQLZo5p4tGt9sUX+zRenObJkos4Apup4QV1HQLUG2TglzBtPpe7rrWox4cNlBWKw2XDY8Brv/NQ1f3joWqeH+qGwy4NoPdmB3fi3LJhPSK/SmxhbN3LNF45stI00qMUXjmy3qb7YoU4m4ioJuievuJvnDzbmobTGif6QOL/1tKMIC1JiQFoZf7pmIcSmhaDaYccunu5Fd2SRCiwk5O1un9zF6U2OLVrqF17mHaZKDLQpKhNf5+k3jW3hd3i8pvZyBjj6m7SrEVRR0S9yp53S3Gs34dGsBAOAfM/pBrZA7vxagVmDpTaMxMiEIDW0mLFi6C3UtRqbtlSK5jBO7CT6LbpLZov5miyY52KLxzRaNb7YovZwtypwhrqKgW+JO3dO9+mgFmg1mJIT4YVpG5Gnfr1HK8cGNo5AY6ofiujYs/m4/VTY/B6Wcgm6x0E0yW9TfbFF/s0WZM2zR+GaL+pst6m/iKgq6Je7UoPunfSUAgLkjYiE7wwptaIAa716XCbVChnVZVXhvY47g7ZQypZz+TMRC6YnCo3R+8dBNG1vU32zR9ZstGt9sUX8TV1E0IXEGc0chtXaTBVuzawAAc4ZFn/XnBsbo8fRlgwAAr6w6gb2FdcI1UuJUFHSLhtIT2aKbCLaMVN2ZKRrfbFF/s0WTpmzR/QlxFUUTEtdm7Ai69xfVw2ixIkKnRmp4wDl/9upR8bhseAwsVhv+8d2BLo9FOtBKt3jopo0tKgzDFo1vtqi/2aKghC0a32xRJgdxFUUTEtfUbnb+/45c+zFgY5JDwHHn3ofMcRyenjMYUXoN8qpb8MIfxwRrp5QpFbSnWyx0E8EWFYZhy2yl8c0SZRawRddvtqi/2aL+Jq6ioFviGttNzv/fmW9PLR+bEtrjnw/0U+Klvw0FAHy6rQCbT1a7t4FegFa6xUM3yWzRSjdbNL6F17VmAY1vlmgSjy1KL2eLqsUTV1E0IXH8SrfRbMWeAvu+7LHJIS49xqR+4bj+vAQAwEPfH0BTp0Ce0J5uMdFNMlvU32xRf7NFmQVs0fhmi/qbLToXnbiKogmJazaYYbHacKikAe0mK0L8VUiPOPd+7lP93+wMJIT4oayhHf9ZmSVAS6WLVrrFQzcRbNFNBFs0vtkyUWYBU5Q5wxZdT9gyWayw2eiaQnqOogkJOvVvvLndjB159tTy0UnBPdrPfSo/lQLPXzEEAPD59gLsKajtczu9BZ3TLR5Kl2OL0uXYokJTbFHhI7bo+s0W9TdbNhtgoYlq4gIKur1AY7sJO/PsQfLY5J7v5z7VhLQw/C0zDjYb8MgPh7ocR+bLaKVbPDRzz5aZbiCYoiCQLbqesEXjmy0a3+zRRAdxBUUTXqC2xYjd+fb93GNc3M99qsdmZyAsQIWTlc14b32uO5oneSoF/ZmIhW4i2KKbZLZofLNF/c0W9Tdb1N/smahOBHEBRRNeYMOJKjQbzNBpFMiI1vfpsYL9VXjy0kEAgLfWncTJiiZ3NFHS1J2Cbtq/wxbdRLBF6eXCo2ra4qF0fuF1Ht/U38Lr3MNWSncW3Km3gPSeSVxBQbcX+GlfCQBgdFII5LK+7z++ZGg0pg6IgMliw6M/HoLVxy/indPL6Q2NLSO9oTFF6eVsUWoiW5TJwRb1N3s0kccWXcOJKyjoljCdRgEAyKtuAQCMT+39fu7OOI7DM3MHw18lx+6COny/p9gtjytVndPL6SaCrTYT1RVgiW7Y2KL+Zov6my2q7swejXG2qL+JKyjolrDYQE2Xj8e5KegGgJggLe6f1g8A8MKfx1HfanTbY0tN53O6aeWVrVYjBd1C63xLTDcQbFF/s0WrUmxRdWf2aIyzRddw4goKuiVsWHyg8/9jAjXIiOrbfu5TLZiQhH6RAahtMeIlHz67u3PKPq10s9VOK91M0Q0bW9TfbNGkKXu0ZYUtCgLZoms4cQUF3RI2LC4QyWH+AICFk1Igc8N+7s6UchmeuWwwAODrnYU4UFTv1seXis7HntNNG1s9Welec6wC13+4A5NeWofrPtyOH/cW0+pKL9ENG1t0PWGh41pA/c0eTVSzRddwtqi/iSsUYjeA9J5SLsOPd45HcV0bhsQFnvsHemFsSiiuGBGLH/eV4F8/H8bPd09wS7E2Kem8JY1u2thqM1lgs9nAcd2Pudf/OonX/jrh/LiwthVbsmvwxfYCvHntSMQGaVk11SsYTDS+WaLrCVtGixUWq83n3sPERGOcLepvtmhSibiCVrolLthfJVjAzXt0dgZ0GgUOlTTgq52Fgj6Xp6MLLFs2G9B+hkDwz8NlzoD75gnJ+Pa28/DQzP7QaRTYW1iPuW9voSPvXESF69gyWqww0zWFKdqywpaBgkCm6B6FLZqoJq6goFuCWCfOhuvUeHBGfwDAf/48jupmA+MWeA6TmdKWWesuEGwxmPH4L0cAALdPSsETlw7E2JRQ3H1BGlbcez4GROlQ1WTANe9vd1b3J+dGAQl7NNHBFvU3W21Gs9hN8ClUfJStNhONb9JzFHRLGMsEuevGJmBgtB6N7Wa89Odxhs/sWYwWekNjrbWbm7avdxaiqsmAhBA/PDC9X5evxYf44euF52FwrB41LUbc/Mkun66+7woKutmjIJCtNgpKmGoz0kogS+00vpmi8U1cQUE36RGFXIZn5tqLqi3bU4zDJQ0it0gclCrH3qk3yRarDR9tzgMA3DklFRql/LSfCfZXYemCMYgN0iKvugV3fbmXiqv1QDuNb+YoCGTLYKb+Zokmldii/maL+pu4goJu0mOZicGYMywGNhvwzO9HYbP5XhBDx0Owd2q63NacapQ1tCPIT4krRsae8efCdWp8vGA0/FRybM2pwdvrsoVuquQZzVZYaXKCKbppY4tWptii8c0W9Tdb1N/EFRR0E5f886IBUCtk2JFXi5VHysVuDnNUGZS9U9/Uft5XCgC4eEg01IrTV7k76x+lw7OODI3//nUCO3JrhGmkF6FsDmGdOqVBK91stdNKt6BOH9+051VIp6590PVEWKeOb0rnJ66goJu4JDZIi9snpQAA/r3imM+l6lHQLbxTMyg67+k2mq3OyZ65I868yt3ZFSPjcOXIOFhtwOLvDqDZQDeBZ0Mz92z15CZ5f1E9Hv/5MO74fA9eXpmFghoqDthbFJSwRdcTtqi/2aLCdcQVFHQTl90+ORUROjWKatuwdEu+2M1hykTHcTDX1N4RJO8rrEOzwYxQfxUyE4J7/BhPXzYIccFalNS3+XQhwJ6gYmpsnesm+e112bj8nS34fHsB/jxSjrfWZeOCl9fj5ZVZdD3qBQpK2KJ0frZoUoktup4QV1DQTVzmr1bg4VkDAABvrc1GVZPvHCFGK93s1bV0VB7fdLIaAHB+ehhksp7X7/dXK/DilUMBAJ9tK6A087OgoJuts920fbOzEP9ZmQWbDbh0WAyeuGQgJvcLh9UGvLUuG7d/vodeLxdRf7HV3ekTp9p4ogrXfrAdo55djVn/3YjX/zpJGUm91NMgsLiuFX8eLsfWnGqfy1h0p55cT0wWK37ZX4Ilvx7Bf1Yex+78Wp+siUQAhdgNINJ0xYhYfLo1H4dKGvDq6hN4/oohYjdJMJ2vjQZaWWKuvs3k/P+NJ6sAAOenh7v8OBPSwjB/TDy+3lmEf/5wEH/eP6nbyuc+55Q3/3YTjXGWzpSeWNbQhmeXHwMAPDCtH+6blg4AuHliMn47UIoHlx3A2uOVuO3zPfjo76OglNMcendOvbftyU2ywWzBH4fKcaysEcH+KkzLiERaRIBALfRu5+rvDzbm4t8rjjk/rm424nh5E77aWYB3rstEZmLPM5rIuYPudpMFS349gm93Fzn/NgK1Stw3NR0Lxie5NJlNzp1ZUN7Qjps/2YWjZY3Oz729LgdT+ofjxSuHIlKvEbqJxIPQuzTpFZmMw+OXDAQAfLe7CDlVzSK3iA0TrXQzV99qD7prW4w45Diq7vz0sF491qOzMxCpVyO/phXvb8x1Wxu9CRWaYutMQckba+yrfSMTgrDowrQuX7t0WAw+v2UstEo5Np6owuM/H6aVkx4616RSXnULLvrvJtz/7X78b2MuXvjjOKa/tgEPf38ALbT66rKzBYHrjlc6A+7rxibgt3sm4rV5w5AU6oeKRgPmv78da45VsGqqVzhbEGi12nDXl3vxzS57wD04Vo8InRoNbSY8/ftR3Pb5bhrjLmo9y/huNZpxw0c7cLSsEcF+StwyMRmXj4iFUs5hfVYV5ry1GUdLG8/488T7UNBNem1McgimDoiAxWrDq6tOiN0cJoy00s2M1rEKXd9qTy/fkl0Nmw0YEKVDRC9nh/UaJR672D5Z9M76bBTXtbqnsV6E0m/Z6m6lu7KxHT/sKQEA/N/sjG5Xn8Ykh+DN+SMg44BvdhXhq52FgrfVG5wtCKxtMWL++9uRW92CcJ0aC8YnYUr/cNhswHe7i3HFO1tR2djOsLXSd6Y93e0mCx798RAA4O/jEvHvy4dgSFwgLh8Rh+X3no/pAyNhtFhx55d7sTW7mmWTJe1sQff7m3Kx9nglNEoZPr9lDH5fdD62PToVz1w2CCqFDH8dq8Qtn+6ifeEuOFtfvfRnFk5WNiNcp8av90zE45cMxGvzhuPP+ychPSIAFY0GXP/RDpysaGLYYiImCrolyJMWNB6a1R8cByw/VIaDxfViN0dwtKebnSA/JYCO9PJNztTy3q1y8y4dGo2xySFoN1nx7+XHzv0DPoaCbra6W1n6bncRjBYrRiUGY1RSyBl/dtrASPzTUV/j6d+O4ng5rZqcy9mqDT/640GUN7YjJdwfK+49H0vmDMInN43Bt7edh3CdGlkVTZj/wXafqmPSV22m7ldOl27JR3ljO2KDtHh0dkaXr/mrFXjnupGYMTASRrM98C6soQnSnjjTpFJVkwFvrjkJAHhqziDnFi25jMMN45LwzW3nIUCtwPbcWiz6eh+sVg+60fRgZ3q/zK1qxhfbCwAAr149DPEhfs6vpYYH4Ie7xmNIbCBqW4xYsHQXajvVriHeyyuD7rfffhtJSUnQaDQYO3Ysdu7cKXaThMGJv/dmQJQelw+3H9300p9ZIrdGeFQtmJ0gPxUA++qTzWZzFlGb2Iv93J1xHIenLhsEuYzDH4fLncE8sevpnu42owUHiupxtLQRZvq76LWGTjULeKuO2lNq/5YZd86fX3h+Cqb0D4fBbMWir/ZRUaRzaGo/vb8BYGdeLVYeqYBCxuGt+SMRrlM7vzY2JRQ/3DEeMYEa5FS14PbPd1M/91Dn0yd4JosVn2zNAwA8ML1ft7U1lHIZ3rx2BIbFB6GhzYTbv9hDK7A9cKZJpfc25KDFaMGwuEBcPSr+tK+PTAjG0ptGO1a8K/C6I0AnZ3emgn/vrs+B2WrDBf3Du61Bo9co8dnNY5Ac5o+S+jYs+novvY/6AK8Lur/99lssXrwYTz75JPbu3Ythw4Zh5syZqKysFLtpXuuB6f2glHPYnF2NzSe9Ow2MVrrZiQ60p5CX1rchp6oFZQ3tUClkGJt85pW/nhoQpceN4xIBAM/+fgwWmtV3OlfVYJvNhk+25GHsc3/hsre3YPYbmzDuhbX4dGs+9WMv8DULeGUNbThY3ACOA6ZmRJ7z52UyDq9cNQxhAWqcrGzG22uzhWqqV2hs6358v7bavkXqqlHxGBijP+3rCaF++OLWsdBrFNhbWI8lvx4RtJ3eortJpb+OVqCi0YCwABXmDIs548+qFXK8d/1IhAWocKysEa/8RYHguXTX361GM77bXQQAuH96P3BnWLAZnRSCf88dDAB4fc1JbDxBE9Ln0thNf9e3GvHrgVIAwD2n1OPoLNhfhf/dkAk/lRxbsmvw9rocwdpJPIPXBd2vvvoqFi5ciJtuugkDBw7Ee++9Bz8/P3z88cdiN81rxYf44bqx9gDmpZXHvbqgj4GCbmbig7UA7NVsVx4pBwCMSQpxW8Xx+6f2g16jQFZFE37aV+KWx/QGzd2sTHX28qosLPntKBrb7eel6zQKVDUZ8OSvR3DLp7uoEI+LTr1J/suxyj0yIbjLauvZhAao8fRlgwAA76zPoTTzs+hupTu7shnbcmsg485+k5wSHoA3HPvov95ZhBWHyoRsqlfoLij5epc9ALxmdAJUirPfhkYHavHyVcMAAJ9uK8TJBvEz/DxZd/3924FSNLWbkRDih8nnyBS7alQ8rhubAAB4+PuDaGjtPjOE2DV2cz35YW8JDGYrMqL1GJlw9ur7/SJ1ztN/3lx7EoeKGwRpJ/EMXnVkmNFoxJ49e/Doo486PyeTyTBt2jRs27at258xGAwwGDr2ZzU22m9WTCYTTCbPvNjYbPbAz2Ixe0wb7zg/Ed/tLsLB4gasOFiCGQPPvUIjFVZbR6DdbnJvn/OP5SmvoyewWu39HaCWQ6dRoKndjK922PdGjUsJdltf+SmBOyYn46WVJ/HKqizMygiDug8BvVRfS4u160RSfavhjL/DX8cqnbPxj8zqhwXjEmGx2rBsTzFeWHkC67OqcN2H2/Hpgkz4qaT79iLka2mx2NM/tUoZ2kxW1LcauzzPn4ftE0xTB4S59PzT+odiekYEVh+rxMPfH8CyhWPp+B909Devoc14Wr9+tT0fADClXzgi/BVn7fcJKcG4fVIy3t2Qh//78RCGxeoQ0cPJEV9gMXeddGto63ov1dBmchZGu2xYZI/G+ISUYMwbFYdvdxfjqxwZ/t7ShiB/97Zbqszn6G8AWOZY5b46MxYWixmWc2Tp/3NGOrZkVyO/phWP/3wIr1zl/iNhpfp+aTad3t9Go7FL9sAv+4sBAPMyY057fbpz0cBw/DkoEn8cqcAD3+7Dz3ee16d7ETFI9fV0l57+3pzNi5YlS0tLERsbi61bt2LcuHHOzz/88MPYsGEDduzYcdrPLFmyBE899dRpn//qq6/g5+d32uc9wTtHZchqkOGGNAtGhXvOy7e8UIZVJTLE+tnw0FCLJ2w5d4uvc2TYXmmfjR8bbsW1abTaLaTv82TYVC7DzFgrjjdwKGjuGEiPDjMjyo1/liYr8Ow+OeqNHOYkWDA11nP+nlhZUSjDypKO1aYp0VZcnnT6GDdagH/vt/fVhdFWXHbK9xQ0Ae8dk6PVwmFgkBULB1hBMd/p1pdx+ClfjkCVDQ1GDhEaGx4bYb8LbjUDj+2Ww2rj8NhwMyK0rj12g9H+GhksHK5LtWBMhO+N51Ntq+DwTa4ccs4Gi41DnL/9/YlnsQFP7Jaj2cxhYX8LBoecu8/MVuC1w3IUt3AYFGzFwv5Wr3m/66tDtRw+zJJDJbPBaOXgr7DhudEd/b2zksOXOXJE+9nwyLCe79E2WIAXDshRa+AwNcaKOYn0PgwAOY3AG0cUzvGt5Gx4+byOfm00Ak/skcMGDktGmhHcw/mh/Cbgv4ftP3dHhgUZQXQtAYCyVuCFAwooORtMNvsf/UtjzFA7YuQ6A7BkrwIcbHg60wK9qmeP22yyj+8mE4fZ8RbMjKP+lpLW1lZce+21aGhogF5/+vYknnSXItzk0UcfxeLFi50fNzY2Ij4+HjNmzDhrx4np24pdQEMdBg8ZjNkjTy+IIZZxrUZseWUTSlot0KSOwtQBEWI3yS02/3wE2yvt6ccR0TGYPXuo2x7bZDJh9erVmD59OpRKpdseV8p2/X4Mm8qLkJaehnizFR9uzgdgPyrs5r+NO/sP94IltgT//PEI1leq8cT15yNQ27vXQaqv5Yk12VhZ0nFmeXhMPGbPHnTa9320JR/1xhOIDdLgv7dOgFZ1+kz82MJ6/P2T3ThaD+Ro0nDf1DOn6noyIV/Liq0F+Ck/C1HBOjRUNMMkU2H27AsAAL8dLIN11yGkhvtjwZUTevX4TaF5+M+qk1hd6YeH5k+Av9q33+YbdhQAuVkI8lOhpsUEqPwwe/b5zq/vzK9F8/bdCNQqsHj+NCjkPdt1lzGmGZe9sw1H6mRQp4zEtAzveL/rK9WxSnyYtR+hOi3KGtrRbpXhootmOFcCf/liH4Aq/G1sKmafJZW/O/7JZbj720PYUC7Hg1dORFpEgAC/gbTszK8FjuxGiL8aVc1GmGwcpk6f6Vwp/WZXMWx7jmJorB7XXX6eS49dpzuOT7YV4s9KHe65ejzU59gK4ArJvl9WNOGFA9ug81Ohoc0Mi9WG8yZd6KxB8+m2AgBZyEwMxjVzx7j02H7JZXhg2SGsKVPioasmIC7YxVlXEUn19XQXPkv6XLzq3TgsLAxyuRwVFRVdPl9RUYGoqKhuf0atVkOtPn3qT6lUeuzA4Tj7hU8uV3hUGyMClbhxfBLeXZ+Dt9fnYebgmDMW7JCSzr+D2QpB+tyTxxtrMhk/vuW4ZmQcvtxRhDaTBf+Y0V+QPvrbqEQs3VqI4+VNWLqtEA/NHNCnx5PaaymXdb2RajFaTmu/yWLFp9vs50DfOzUdev/uz0kfmxqOF68civu+2Y+3N+TivNRwTOzjEW9iEuK15Mc3X52/sd0MuVwBmYzD2ix72u3MQVG9ft5bJ6Xiuz0lKKhpxQdbCvo8nqVOLrcHHzqNEjUtJjS1m7v07dqsGgD2onVaTc/TxAfGBuO2SSl4e10Onl2RhckDIiW9pcJd+P4O1CpR1tAOi9UGo02GAJUCLQYzNufY+/viYbEuj/EZg6MxaNUBHKmT4dk/svDFLWO94h6jLxRy+5gL0ChR02KE1WbPmAlwHLm5+ri9GNqsIdEu9/c/Zg7A8sMVyK9pxSfbCnHPhenubTyk936pUNjbKuM4BGqVqG0xotVsc/4Oq47Z+/uiITEu/15zR8bjuz2l2JZbg+f+PIEPbhzl3sYzILXX0116+jt7VSE1lUqFzMxMrFmzxvk5q9WKNWvWdEk3J8K5dWIytEo5DpU0YH2W91W+pCPD2EqL0GHtg5Ox4aEpmC5QnQC5jMPi6f0AAJ9uLUB9q2+el6nT2G/eujviZ+WRcpQ1tCMsQIXLHEcEnsllw2Mxf0w8bDbg4e8PnPGIJl8XplOD4wCL1YaaFiMMZovzmtmXsa5WyPGY49zjDzbloaS+zS3tlSo+SVPvHN8mZ7FPm82GVUfte+hnDOx+Yv5s7rkgHbFBWpTUt+EtqhrfhVYlh1JuD4j5YoGbs6thNFuREOKH/pG6Xj3uFUlWqBQybMmuweqjFef+AR/BcYDekaXF93fn/fOzBrk+vnUaJf51sf1a8ta6bJT6+LXkVHxWHF9srrbFiN35tQCAmYNcv4ZzHIenLxsEhYzD6qMVVD3eC3lV0A0AixcvxgcffIBPP/0Ux44dw5133omWlhbcdNNNYjfNJ4QGqHGD4yim19ec9LpK5lS9nL3oQC0SQ4WtmjN9YCQyovVoNpjx0eY8QZ/LU+kcaciN3QTdv+63H38yb3R8j6rHP3HJICSE+KG0oR0v/Znl3oZ6CaWMcxbgKq1vw/bcWjQbzIjQqTEsLqhPjz19YCTGpYTCaLbiDTpmCQAQ5Fj5s9qAOsdN8vHyJhTVtkGtkGFSP9czMrQqOZ68dCAA4MPNNMHRGQcgLMA+visb2wEA647bj269cEBEr1eowzTAzePt9xj/WZlFZxt3EuzInqlpsU8cbzxRBbPVhrSIAKSE9y4Vf86wGIxJCkG7yYr//nXCbW31BiH+9v6ubrb394YTlbDa7Fvh4oJ7V3wmPVKHG8clAQBe/PM4rHQMp1fxuqB73rx5ePnll/HEE09g+PDh2L9/P/78809ERnpPNW1Pt/D8FGiUMuwvqsdGLzu3m87p9k4cxzn3H3+yJd+nVrv5t3Sdxh6UnLoy3dRuwnrHjPulZzlTtzOtSu48BuXz7QXO2X/SVXSgfc9eWUMbVjmOxZs2MLLPVcc5jsODM/sDAL7fW4y86pa+NdQLKOUyhDpukiscQeCqI/aV0kn9wnudGj59YCTGJofAaLbi1VUUlHTG73Mta2iHzWbD2k5Bd18snJiEID8lTlY248e9dNwjL0pv7+/yBvv45vu7L/V1OI7DI7PtW1S+31OMExVNfWyl94hyjm/7ZNtaRyr/1D7Wd7jnwjTo1AocKW3EbwdL+9ZI4lG8LugGgHvuuQcFBQUwGAzYsWMHxo4dK3aT3MoGz575Ctepce0Y+0z0e+tzRG6Ne1F6ufeaMTAKA6J0aDKY8bEPrnYHOlYC6085l3XNsUoYzVakhPu7lBI6IS0MV2XGAQCe+u0ozdh3IzbIHnQX1bZhlSNV1l3HLWYmBuPCARGwWG14bTUFgwAQ4QhKnEG3I7W8L+n8HMfhUUc6/4/7inGsjM5I50U7xndpfRuOlDaisskAP5UcY1NC+vS4eq0Sd0+xT5K+uvoE2k09r4LuzaKDOiY5LFYb1mW5Z5JjZEIwZg2KgtUGylzqJCawY5LDbLFig5v6O8RfhTumpAIAXl6VRYs9XsQrg25f4cnlQ249PxkKGYdtuTU4VNwgdnPcxkhBt9eSyTjcO9VeKGbplnznvjhfEe5Ida5tMXaZXPr9YBkA4JIh0S6nhD48awAC1AocKmnAT/toRepUqeH2bROfbc9HVZMBeo0C41PdV3juHzPstQp+O1iK4+UUDEbp7WO8orHdGQhyXN9WAgFgeHwQLh4SDZvNnhJK7DoHJfyq64S0MKgVfT+D+IZxiYgJ1KC8sR2fbyvo8+N5g+hOK6/7CutQ32qCXqNAZmJwnx/7oVn9IZdx+OtYBWUuOUQ5M5XasaegDo3tZgT7KTE8vu/9fdOEJETo1CiqbcPXOwv7/HjEM1DQTQQRE6R1pqK+vyn3HN8tHTTj6N1mDYpCv8gANBnM+GqHb73RhfipIHekNdc49qg1tpucxVwuHtqz1PLOwnVq3H2BfUXqpZXH0Wo8fb+4LxsWHwTAvtIN2KuWq9x4LM+gmEBnMPjGGtrbHanvWAlcc8yeWZCZEIzQgJ5XLT+Th2b2h0LGYX1WFfYV1vX58bxBfIh9X2tOVTP+OGzPKnDXUaIapRz3T7NPKv1vYy6tdqNju0pxXRtWO8b35P4RPT4G72xSwwOcmUuv07UEQEemUmFtq7Oo35T+Ec730b7wUymwyLEI8O76HBjMNL69AQXdRDC3np8MAFhxqAxFta0it8Y9KOj2bjIZh9sm2dO6lm7J86nXW8YBYQH2Pa+VTfb027+OVsBosSItIgD9IntXiOemCUmID9GiotHgk2n7ZzMqKQQaZcfbMF+E0p347I0/Dpcjt6rZ7Y8vJclh9syCk5XNznR+d52KkBTmj8tH2Cv7v0mVzAEAg2MDAQDrsqpwrKwRSjmHmb2oon0ml4+MRWyQFtXNBnxDq4Ho59j+c7ikAb8fsGco9aaK9pncfUEa5DIOm05WY39RvdseV6oGRusBAEfLGvHD3mIAwOwh0W57/KtHxSFSr0Z5Yzt+2EOZYt6Agm4imEExgZiYFgaL1YaPt3jHzXYbzaZ7vTnDYhCpV6OyyYBf9vvWG12Ezr4SWNVkAGCfMAOAi3uRWs7TKOV4cIa9qNcHm/LQSEeIOQVqlXjs4oEI8Vfh/mnpGNrHquXd6R+lw7SMCNhswP82eE/WUW9kOG6S1x+vxJbsjjPR3eXuC9Ig4+wFrA6XeM+2qt4aGK2HqtMq6wX9IxDsKGbnDkq5zLn39X8bc31+NXBQjB4cB1Q2GVBS34YAtQLTMtwXdMeH+HVMLNFqN+JDtAjyU8JitaGu1YRArRKT+4W77fHVCjludywCvLM+m2oKeQEKuomgbpuUAgD4dleR8yxDqel86lmr0bff1H2BSiHDTRPsWRofbMr1umPvzsZ5hFVDOxraTNh4wh6YXDy0b7P3lwyNQVpEABraTFi6Ob+vzfQqN5yXiL2PT3emygrhTkdg8uO+YmdlY1/EByUtRgusNmB0UjCSwtx3HGFSmD/mOLZVUTq/fcLtsuH2/pDLONxzYZrbn+OqTPtqYFkDrQb6qxUYndhRpO5vmXE9OuLRFXdNSYWMA9bQxBI4jsPMgR2Tdn8fl+jW7UEAMH9MAsICVCiua8Mv+6mSudRR0E0EdX56GAZE6dBqtOArL0j/aqOg2yfMH5MAf5UcJyqascGxp9kXpDgKe+VUNmPlkXIYLVb0iwxwpi32llzG4T5HmvOHm3N9rkid2DITQzAmOQQmiw0felGNDVdwAEID1JiY1lGojl9Fcqd7LkwDxwGrjlZQ8ToAS+YMwrNzB+OLW8YKksmhUXasBr67IRsWHz8l4aFZ/RGpV2NwrN55zXWnlPAAXOKo7/H2OtpG8Y+Z/XDpsBhcPSoOd13g/kklrUqOW8+3L169sy6bTgGROAq6iaA4jsPNE+2rhl9sL5D8G6LZavOpfb6+KlCrxDVjEgAA72/0jSCF4zikR9iD65OVTfjtgH1WfU4Pz+Y+l4uHRNuL1LX75pFsYrvLsdr91c5CyWYducMLVw7FtWMT8NzlQzDNTfu5O0uL0GH2YHtmyIebfG+cn/oO769W4PrzEjEuNVSw55w/JgFBfkoU1bZhteMYOF9xan+PTgrBjv+bht/umejWVP7O+OKYK4+Ue029np469cjeCJ0Gb84fgZf+NsztWQW8689LhE6jQG51i/MUACJNFHQTwc0ZFoMgPyVK6tuwzgsuGLTaLSxPyea+eWIy5DIOW3NqcKKiSezmMNE/yh50b8muwaaT9tTyS3pRtbw7nY9k+2xbvs//HfV2j3xvTe4X7sw6+m53EdPnFtOp15PYIC2eu3wIrh2bINhz8kVEf91f6ixK6GtYjm+tSo7rHK/nRz46oXdqbwvZ//2jdDg/PQxWm/14Td/EbnwHqBW4doxvj29vQUE3EZxGKce8UfEAgE+35YvbGDdoNdGxRyyIfQ59bJAW0zLsx9t8sd03zoEdHBuI0E6rIxf0D3frntdZg6IQH6JFXasJ3+/xncDPE3AchwXjkwDYr8NSzzryZCMSgjEyIQhGixVf0BnSTNw4LglKOYdd+XU4WFwvdnO83i2ODMbvdhehiYpjCu7v45Mgl3HYlluDI6W+vZdeyijoJkxcf14iOA7YdLJa8sfWUDE133HDeUkAgB/3lqDZ4P2TLXIZh4WO4od+KjkeuSjDrY+vkMtw60T743+4OY8CP8YuGx6LID8liuvaKE1RYPw+zC92FNIZ0gxE6jXOrBzaviK8yf3CkRYRgGaDGd/uoglUocUEaXHRYHvRto+pGKlkUdAtRRK8T40P8cMF/flVQ2kXVPP1tFhfMiEtFCnh/mg2mPHTPt+ojHvH5FT8ds9ErH9wijPd3J2uGhWHID8lCmpafW7/pdi0KjmuGW1PU/xkKwUmQpoxMBKxQVrUthh95tohNn719feDZT5dpZ8FjuNws+OUj0+2UuYMC/z4/vVACSobaXxLkUtB97Fjx/Dkk0/iwgsvRGpqKqKjozF06FD8/e9/x1dffQWDwSBUO0k3GG8J7LMbxiUCAJbtKUKrUbqrhrTS7Ts4jsP1Y+3j9vNt+V55fFh3v9KQuEBE6DWCPJ+fSoEbzrP3qa8UqfMk15+XABln37fvK7UKxKCQy3DThCQAwNIteV557fA0g2MDMSY5BGarzStOS/F0V4yMRYi//TirNccqxG6O1+O3rZgsNL6lqkdB9969ezFt2jSMGDECmzdvxtixY3H//ffjmWeewfXXXw+bzYbHHnsMMTExePHFFyn4Jt2anB6OxFA/NLWb8fuBMrGb02tSnjAgrrsyMw5apf34sJ15tWI3xyvw+y/3Ftb7/FmvrMUF+2GG42zZz7ygxoYnu3p0PDRKGU5UNGNPQZ3YzfEJ/ITet7sKYbbQSSNC0ijluGpUHABQEMjIjeOSAADf7iqi7AIJ6lHQfeWVV+Lyyy9HeXk51qxZg+effx6LFi3CrbfeiocffhifffYZ8vLy8Pvvv2Pfvn145ZVXhG43kSCZjMO80faCalKunkvp5b4lUKvE3BH2vYJf7qAbC3cI16kxy3Gs0pc7qNAUa3zW0S/7Sul6JiC9Ruk8cu8runYwMXNQFEL9VahoNFDdAgbmO7arbDhR5XPHh4lh1uAoBPspUdbQjvVZNL6lpkdB94kTJ3D33XcjKCjorN83btw4fPPNN3jooYfc0Tbiha4cGQcZB+wuqEOORAqqnTqXSOnlvme+47iOP4+U+/QZx+7Er0j9vK8UjVT9lqlxKaFICPFDk8GMFYekm3UkBdc6tqf8fqgM9a1GkVvj/VQKGf5Gq6/MJIX5Y2JaGGw2UEE1BjRKOa4c6RjfNJEnOT0KupVKJd566y3U19f36EGVSmVf2kS8WKRe4yyoJtXV7laqROtzhsQGon+kDkazFb8eLBW7OV5hdFIw+kUGoM1kwY97isVujk/pnHXkKzfKrM9F5w2LC8TAaD2MZiu+p3HOBK2+ssWfef/t7iKYKKVfcPMd/b0uqxKl9W0it4a4oseF1Pg929deey3Wrl0rZJuIl7vKcWb3D3tKJHmBbqM93T6H4zjn3rXvJTpZ5Gk4jsP1jtXuL3YUUqEpxv6Wac862plfK5msIyniOM4ZlHy1k8Y5C7T6yta0jEiEBahQ1WSggmoMpIYH4LyUEFhtwDc0viWlx0F3eXk53nvvPZSVlWH69OlITk7GM888g6IiesGJa6ZmRCAsQIXqZgPWZ1WJ3RyXNbdT0O2L5o6IhULG4UBxA7LKqeqzO1w+IhZ+KjmyK5uxg4rUMRWp1+DCAY6sI7pxE9Rlw2Pgp5Ijt6qFijEywk90LNtDBaeEplLInIspX++kawkL/LaV76igmqT0OOjWarW48cYbsW7dOpw8eRI33HADPvroIyQnJ2PWrFlYtmwZTCbal0fOTSmX4fIRsQCklWKulNvTExsp6PZJYQFqZ5CyTELj1pPpNEpcOtReaOoHSr1lbp4jDff7PcUwmqWXddQTttOqcrCn0yhxyVB74cAf99KZ3SxMy4hEkJ8SFY0GbM2pFrs5Xm+eI+jedLKKzpBmYOagSARqlShvbMe2nBqxm0N6yKVzunkpKSl4+umnkZeXhz/++AOhoaFYsGABYmNj3d0+4qX4/YRrj1eiplkaR8zpNfZaBQ1tNLnkq/jZ/J/3S3NrhCfiix4tP1SGFoP3T2h5UnbxBf3DEa5To6bFiI0npJd1JCV88aPlh8rQ7sV1QTxlfKsUMmfleG+e6PCU/k4K80dmYjCsNuCX/d5b98RT+lutkHdM5O2jCWup6FXQzeM4DgqFAhzHwWaz0Uo36bG0CB2GxgXCYrVhuUSq5wZqKehmwRNWps5kSv9whAWoUd1MQYq7jEoMRmKoH1qNFvx5uFzs5jAjTlmvrhRyGS5zBCY/7ffewMQTjE4KQVywFs0GM1Yd9f59r54wvvmMuj8Pl6PZyyf0xCoU2Bnf3z/s9f4g0AO6G1c4JvL+PFzuExPW3qBXQXdRURGefvpppKSkYPr06SgtLcUHH3yAsjJpBE9S57khiWv4WWipzIrqHUF3IwXdTHjCm9qplHKZc3b51wPSGLeejuM4/M1x80DVndmb67hR/utoBZro6DbByGQcrnD09Y8+EJR4guHxQUgJ80ebybcm9MRyydBoqOQyHC9vwtHSRrGb4/VGJgQhyTFhvfIIjW8p6HHQbTQa8c0332DGjBlITk7GBx98gGuvvRYnTpzA2rVrcd1110Gj0QjZVnIKD4xJXHLpsBhwHLCnoE4Sx3roaaWbAJgz3D5ZtPpoBdrozHa3uCIzDhwHbMutkcS1wJsMitEjNdwfBrOVAhOBXe6YXNp4ogqVTbTvVWgcx+GKkTTRwUqQnwpTM+x1T6i/hcdxHC4fYb+m/LSPMpWkoMdBd1RUFBYsWAC9Xo/ffvsNBQUFePbZZ5GSkiJk+4gXi9RrMD41FIA0Vg0pvZwAwIj4IMSHaNFqtOAvOh7FLWKDtM5rgTfvv/REHMdh7nB7YCKVrCOpSg7zx8iEIFhtwK/U10zwmRzbcmtQQmcaC45Pef55fynMVPdEcHxK/+bsapQ30ESep+tx0P2vf/0LRUVF+P7773HRRRdBJuvTdnBCAACXDbNfMH7eV+Kx55fyzQri08spBdOncRzn3Bohhcmic/GUPfR8oalfDnjutcBbXeYIurfkVKOCKg8Lil/tppUpNuKC/TA2OQQ2G/CbF1yvPd3kfuEI8bcfCbuFqmoLLiHUD6OTgmGzAb8eoGuKp+tx5Lx48WKEh4d3+VxzczMaGxu7/CPEFTMHR0Ell+FkZTOOe/jZx/xKd7vJCoOZ0op92RzHZNH6rEo0tNIkjDtMHxgJlUKG3KoWHCvz7GuBt0kI9UNmYjAFJgxcPCQachmHI6WNyK9uEbs5PuFSxyTpCokUbZUylUKGWYOjAAArDlJ/s8AvAiw/RNuDPJ3Ly9V5eXm4+OKL4e/vj8DAQAQHByM4OBhBQUEIDg4Woo3EiwVqlc6zj3/28Oq5/moF5DL7Tvp6FwMtm82GZoMZFiut4HmD/lE69I/UwWSx4c8jdGPhDjqNEhf0t0/s/naQAj/W5jpqFVDQLawQf5VzK4VUTu6QulmDoyDjgIPFDSisoZoRQrtkiL3Y6Mqj5XS0JgMzB0eB44ADRfVUE8XDuRx0X3/99airq8PHH3+MNWvWYO3atVi7di3WrVuHtWvXCtFG4uUuc9zsLT9Y5tFppTIOCPVXAQCqmnp2tnhTuwkv/HEcY55bg8FPrkTG43/i1k934WBxvYAtJSzMcQYpdOPsLvyK1O8HSz36WuCNnDduxQ2091VgFzuCkuW0EshEWIAa42iig5kxySEIC1ChvtWErZRiLrgInQZjk0MAAH8cpvHtyVwOug8cOIClS5di3rx5mDJlCiZPntzlHyGumtI/AlqlHMV1bThc4tlbFCL0agDoUeXZ7MpmzH5jE97bkOMM0o0WK/46VonL3t6Ct9dlU2AhYfzRYdtya1DXYhS5Nd7hwgH2a0FRbRsOFjeI3RyfEqHTYHSS/caNqpgLa+agKMhlHI6WNSKPUsyZmO2Y6KAUc+Ep5DLMHGRPMV9OWUtMXDy0Y/GKeC6Xg+7Ro0ejqKhIiLYQH6VVyTHFkVbq6bN0kTr7sXgVjWdf6c6vbsE1729HUW0bYoO0eO/6TBx+aiZW3j8Jlw2Pgc0G/GdlFl5adZJFs4kAEkP9MSBKB4vVhjXHK8VujlfwUykwbWAkAEpzFsNFjr2Yf3hRYOKJ85rB/ipMSAsDQEEgK7MG2VPMD5U0oKCGJjqEdrFjUnrlkQpKMWeAH98HihsoxdyDuRx0f/jhh3jxxRfx6aefYs+ePTh48GCXf4T0xkWOWeg/D5d79Oqvc6X7LEF3m9GCO77Yg+pmAzKi9fht0UTMGhyFALUC/aN0eP2aEXhqziAAwIeb87GxTOonrvsuvmCMN6wMch4yDPkMguWHymClGghM8eN5T2EdVTEX2MVD7H39O61MMREaoMb4VPtEB6WYC29scijCAlRoaDNhS3a12M3xeuE6NcYm27dQ0ESe53I56K6qqkJOTg5uuukmjB49GsOHD8eIESOc/yWkNy4cEGGvXFzdghMVzWI354zCHSvdZ0svf/r3ozhe3oSwADU+vWk0Qhz7wDv7+/gkPDyrPwDg5wIZjpR6dlo96R4fpGw8WYUWg1nk1niHyf3CoVMrUNbQjn1F9WI3x6dEB2oxIiEINhuw8oj0J5I82YyBUVDIOBwra0ROlee+53kTfvWVUnCFJ5dxzvdH6m82Lu40YU08k8tB980334wRI0Zg27ZtyM3NRV5eXpf/EuF58kpwbwWoFZiU7vnpdpGOle6yhu6D7l35tfh6ZyEA4I35wxGh15zxse6cnIrpGRGw2DgsXnaQjiGToP6ROiSG+sFotmLjSZrNdweNUo4pjhMNVh+tELk17ucp56KfSUeKOQXdQgr2V2G8I8V81RFvGueeO75nDIyEjAOOlDZ6TbFAT76e8Pvo1xyv9JqTWzz59nuWoxjmweIGlDV4x/j2Ni4H3QUFBXjxxRcxduxYJCUlITExscs/wg7nKfmgbnLR4I4Uc0+VFOoPAN2er2o0W/HYT4cAANeMjnemsp0Jx3F4bu4g6JU25Fa34oONNGkFePab2qk4jsMsR8GYVUdpX7e7zHDs61511HOvBX3moZdv/jq8I68G1c09O6WB9M50xzj/65g3Bd12nnh7EhqgRmai/Wjbv7xsQs8Duxujk0IQqFWitsWIvYV1YjfHrTyxv8MC1BiZ4J3j21u4HHRfeOGFOHDggBBtIT5uWkYkFDIOWRVNHpVu13kmOTU8AABQUNsKo7lrcZCPt+ThREUzQvxVeOSiAT167CA/JS5LtD/Om2uzqQBGJ5xHvq2dbqZjZXDdiSqYqV6MW0zpHw6lnENuVQuyKz3nWuAL4kP8MChGD6sNWEsFAgU1LcOe0bG3sK7Hx1CSvvHmiQ5Po5TLcIGjSK43Zi15In58rz5G125P5HLQfemll+KBBx7AkiVL8MMPP+DXX3/t8o+Q3gr0UzrT7TxxtZvj7Onl/io5LFYbCjsFyJVN7Xhzjb0S+aMXDUCQ3+n7uM8kM8yGMUnBMJiteH0NVTOXmuFxQYjQqdFisCCrQRoTBZ5Op1E6M0XoZo29aRn2G7c1FJgIKjpQiyGxgbDZgHU0wcEEP7a359agsd0kcmu83/SB9klpWnllgx/f23Kq0UTj2+O4HHTfcccdKC4uxtNPP42rrroKc+fOdf67/PLLhWgj8SEzB3n2LDTHcUiLsK92HyntOEf45ZVZaDFaMCw+CFeOjHPxMYGHZ/YDAPy4t5hW9iRGJuMwwzFuj9RR0O0u030hxdxDTXWswG46We01tSY8Md0Z6LhJXkVBCRMp4QFIDfeHyWLDhqwqsZvj9Sb1C7NnLVVT1hILaREBSAmzj++NJ6jOjKdxOei2Wq1n/GexeMebMxHP1AH2G5D9RfUeu58wMzEEALAzrxYAcKCoHsv2FAMAnrhkIGQy1+/uhsUFYlpGJKw24LW/TrivsYQJftweqeMkV+jQU5vLB937CutRScdXMTU4JhAROjVajRZsz60VuzlejR/nm7Or0GakeygWpvEpuDTRITidRolxjqwlT11M8TYd45smrD2Ny0E3IUKKCtRgcKweNg/eTzg2xR50r8+y3yQ99P0B2GzA5SNinUVaemPxdPtq94pDZd0WaiOea1xqKDRKGeqNnEcfeSclkXoNhscHAQBW080aUzIZ51ztXkt9L6iMaB1ig7RoN1mxmc4zZoIv1LguqxImCxXiEJpzHz1NcjDB9/fa4zS+PU2Pgu5vvvmmxw9YVFSELVu29LpBhPCrhp66n3BSejj0GgVK6tsw9ZX1OFHRjLAAFR6/ZGCfHndgjB5T+ofDZrMXZSPSoVHKcV6yYzKGUrrchk/bpxUp9i4cwG/1qZRc9oaUcBxHQQljw+ODEeqvQlO72ZmxRoTDFwzcU1jnsRmM3mRkQjBC/FVobDdjVz6Nb0/So6D73XffRUZGBl566SUcO3bstK83NDRgxYoVuPbaazFy5EjU1NS4vaHEd/B73DadrEa7yfPS7bQqOW6fnAoAKG1oh0ouwxvzRyDEv+fF085k4fkpAIBlu4tR32rs8+MRdqY4qrSuo32CbsNPwG3LqfHIa4E3m5gWBrVChpL6Nklnb0hhuoAPutccr4TVS84z9mTyTpkclPIsPCoYyJZcxuHCAfbxvYaqmHuUHgXdGzZswIsvvojVq1dj8ODB0Ov1SE9Px5AhQxAXF4fQ0FDcfPPNSEhIwOHDhzFnzhyh20282OBYPSL1/H5Cz5zAuXNyKp67fAgWjE/Cj3eNP+eZ3D01PjUUGdF6tJks+HJHoVsek7BxQT/7GNhXVI+6FpowcYd+kQGIDtTAYLZ67LXAW2lVcoxPDQVAgYnQRieFwF8lR3WzAUfLGsVujk+4oL89KNl4giZJWeCPDttA/c0EH3RTf3uWHu/pnjNnDlavXo2Kigp89tlnuOeee3DddddhyZIl2LFjB0pLS/HCCy8gMjJSyPYSSGPmvi84jnOmNnrqLJ1MxuHasQlYMmcQBscGuu1xOY7DrROTAQBf7SiEhVY9JCMmSItorQ1WG7DxJL3RuQPHcc4MgvWUQcDcVDo6jAmVQuY8LpNuktkYnxYGuYxDTlULijod/0mEMbl/x4kIdF8jvAmO8Z1d2YziOhrfnsLlQmphYWGYO3cu7rvvPjzyyCO49dZbkZmZCZmMarKx5qEnoLgFvwdozbEK8fcTMn76i4dGO/eMb6LgTVIGBdsHi6cWATwbzkOvKFMcN2vrs6TXp1LHr5bsL6pHQyud+Sqkyf0cK4E0ucREoFaJkQlBAGiig4VhcYEI1CrR0GbC/qJ6sZvj9QK1SoxwFCKlo8M8B0XKxCNNSAuDRilDaUM7jpU1id0cAOyCEo1SjiscZ31/vZNSzKVkYLC9UuiGE1U0m+8mE9Ls57zm17Qizwuq+os9h+iKmCAt0iICYLUBW3Loxk1IfNC9p7AOje3SneCQ0vjmJ/QkHXRLpL8Vchkmpks/m8MmlQ5Hp4m8EzRh7Sko6CYeSaOUY6Ij3W7tcd9LbZw/JgGAvXIwnVEsHUk6IFCrQH2rCfuL6sRujlcIUCswKpE/ps97bh48NbPgVJPS7TdutPdVWPEhfkgJ94fFasNWLzg6TArjmw9KtmZXw2iW9tFKnOd3d6cgUPrXEkn0t2Nr1pbsGsmPb29BQTfxWBf4cCGI/lE6ZCYGw2K1YdmeYrGbw5R05pFPJ+eA8Sn24lObTkr/xtlTXDCA9nWLZZKjQODGE1Xib/XxcnxQQuOcjYHReoQFqNBitGBPAU2SCo0f3weL61FLxUYFNzgmECH+KjQbzNhbSOPbE1DQTTwWv8Kyt7AeDW3STbfrrXmj4gEAP+0r8cmbXSnMJHdnYhoF3e7Gp4Fuz61Bm5GODmNpbHIoVAr7Vp+cKumm90vhctI53dkXr/msyWSc8z5jPaXgCi5Sr8GAKB1sNmBzNp1GITT7+JZ+Sr83oaCbeCxvS7dz1awhUVApZMiubMaRUjpGRiomOILu/UX1kt6b6UnSIwIQQ0eHiUKrkmNMkj29n1LMhTU2OQRqhQxlDe04WSnds9GlhE/BpQJ2bPD9TZPSbDgn8mh8ewRFT75p8eLFPX7AV199tdeNIeRUk/uFI7eqBRtPVuGiIdFiN4cpvUaJaRkRWHGoHL/sL3Hr0WREOLFBWqSE+SO3ugXbcmowc1CU2E2SPI7jMLl/OL7eWYRNJ6udW08IG5P6hWFzdjU2nazCzY4jDYn7aZRynJcSig0nqrA+qxL9InViN8nrnZ8eDo4Djpc3obyhHVGBGrGb5NWm9IvA/zbkYlN2DSYPEbs13u/89DBwHHC0rBGVje2I0NP4FlOPVrr37dvXo3/79+8XuLnE13Q+RsUX0+3mDo8FAPx6oJSqYUvI+Y6Urs0SmM2XyqiamMYXhfH8PvU25ztScLfn1sJgpvR+IU3qRyuBLIX4qzDUMaFN1xbhZSYGw18lR02LEaV0fLTgQgPUGBxjH990TRFfj1a6161bJ3Q7COnWeSmhUDv2E2ZXNiPdx2b+p/SPQKBWiYpGA7bn1mCCo6I78WwT08Px6bYCOmfdjcalhoLjgKyKJlQ2tSNCRzP2rAyI0iFCp0ZlkwG78+ukdR2S2GQtf2rHrnz7BIdaIRe5Rd5vQloYDhQ3YEtONa7MjBO7OV5NpZBhTHII1mVV4USDFCotSN+EtDAcKmnA1pwaGt8ioz3dxKNplHKMdVSD9sVCECqFDLMdafU/7ysRuTWkp85LCYFCZj9buqiWpvPdIcRfhUExegDAthza180Sx3HO1e6NNJEkqH6RAQgLUKPdZMW+wnqxm+MT+Emkrdk1PplRxxrf3xR0s8HXmdmaU03jW2S9Crp3796Nhx9+GNdccw2uuOKKLv+I8Hztb0bs6otid/ecYTEAgFVHK2Cy0FmLUqDTKDEiIQgApXS5E3+zJoW0fW/DHx1GfS8sjuMwPtVxk0zpzkxkJgZDpZChvLEdudXSrdAvFeNT7deSnEaOzo9mYFRiCFRye4HGPBrfonI56P7mm28wfvx4HDt2DD/99BNMJhOOHDmCtWvXIjCQCj2xJNUjlVw1xVHtckduLVqNZtHaIVZ/j0kOQai/Cg1tJuzIrRWnEcRl/Mrg5mxaGXSXCY6btS3ZNGPP2jhHxtHRskbUt9IZu0LiV6a2UEYHExqlHJkJwQBoooOFAVE6BPspYbRyOFjSIHZzvJ5WJcfIxCAAdE0Rm8tB93PPPYfXXnsNv/32G1QqFV5//XUcP34cV199NRISEoRoI/FxqeEBiA3Swmix+mTQKZdxmDEoEgDwx+EykVtDempiOh8g1kiiCJ4UJvFGJ9ln7Etpxp65CL0GaREBsNmAHXm+dx1miV8JPFBUj2aDeBPNvsQ50UHnRwtOJuNwXrL9GMJtPnhPJwb+mrIthyaVxORy0J2Tk4OLL74YAKBSqdDS0gKO4/DAAw/g/fffd3sDCeE4zlnR1Rf3dQPArMH2fd0rj1RIIoAjwNDYQOg1CjS0mXCYZvPdQquSIzPRviJFlYbZ49OeaU+9sOJD/JAQ4gez1YadedTXLIx3bF3ZliuNSVKpG5dKQTdL/KTStpwaWGl8i8bloDs4OBhNTU0AgNjYWBw+fBgAUF9fj9ZWKhhEhDHZsZ9wo48G3eNSQqHXKFDdbMCegjqxm0N6QCGXOYsAbsulG2d36ZxBIEVSvt3hU8y3SnC1hJNCKkcnUl15ler4HhobCJ3aPkl6tLRR7Ob0mFT7e7zjWrK/qF7UbYOukuqupqFxQfBXyVHXasLRMumMb2/jctA9adIkrF69GgBw1VVX4b777sPChQsxf/58TJ061e0NJASwz0LLOCC3ugUl9W1iN4c5lUKGaRn2FPM/D5eL3BphSfVNrTvnpdDKoLs5Kw3nVEt6RUpiMSCAjvF8oqIZVU0GkVvj3cZ3ql8gSRIb3/ZJUvvq6xYpTipJrMMTQrQIVtlgstiwK196CwlS629lp0UAKU6aeguXg+633noL11xzDQDgsccew+LFi1FRUYErr7wSH330kdsbSAgA6DVKDIsPAiDhm5A+mjU4CgCw8ki5TxSRktZbWvf4lcFd+bVUed5NhsQGQqdRoLHdjEOUts9UsL8KGdH2Y9u2U/aGoPhU/uPlTahupgkOFiQ/0SEhHMehX6D9PoaK17HBX1Oklj3jTVwOukNCQhATYz/CSCaT4ZFHHsGvv/6KV155BcHBwW5vIADk5+fjlltuQXJyMrRaLVJTU/Hkk0/CaOxaQfXgwYM4//zzodFoEB8fj5deekmQ9hBxTEzz7TfESf3C4aeSo6S+DUcklP7my/gqra1GCw4WU4DoDnIZ55zMoMCPPee+bup7QYUGqDEgSgeAMmVY4bNoduXXwmC2iNwa78cH3VLMLJCizuObjmoTR4+C7sbGxi7/f7Z/Qjh+/DisViv+97//4ciRI3jttdfw3nvv4f/+7/+6tGvGjBlITEzEnj178J///AdLliyh4m5eZEKabx8XpFHKnRMPa49Xitwa0hMyGYexyRQguttYCrpFM05iWyak/E7RsZVCGn0tdf0iAxAWoEK7yYr9hfViN8frpTuC7iOldAwhC/0jdQjxV6HVaMGB4nqxm+OTehR0BwcHo7LSfpMfFBSE4ODg0/7xnxfCrFmzsHTpUsyYMQMpKSmYM2cOHnzwQfz444/O7/nyyy9hNBrx8ccfY9CgQbjmmmtw77334tVXXxWkTYS9EQlB0CrlqG42IquiSezmiGJqRgQAYA0F3ZIxjio+u91Yx3Ezu/PrYKa0fabGpIRAxgF51S0oa/C9+hos8Xvod1AFcyY4jnNO6O2kY/EEF6gCUsL8YbNBkvu6pUbWKUtsB01Yi0LRk29au3YtQkLsNznr1q0TtEE91dDQ4GwTAGzbtg2TJk2CSqVyfm7mzJl48cUXUVdXd8YJAYPBAIOhY78Uv1pvMplgMpkEan3f8Ku8ZovFY9soBBmA0UlB2HiyBhuzKpEaqmXyvBbHTb1FgP7mH6+njzvRcczGgaJ6lNU1IyxA7db2eAKr1dHfVqukxveZXsvRCYEAgN0FtWhuM0CtcHlXj6AsFnsapVVC/Z0WpoVOo0BTuxkHi2oxJDbQrY/v6t+lK6TY351p5cDgWD0OFjdi84lKzB0eI3aTzkrK/T0iTgeOA3KrWiRzvTeb7ZWobTab6O+XvTEqIRDLD5ZhW2417piUJNjzuIuQ/S0kvq2ZCYHIrW7B9pwqTEkPOcdPic/Z35BWf/MyEwKx/FAZtufW4Pbzk9z2uCz+Nj1ZT3/vHgXdkydPdv5/cnIy4uPjTzt+w2azoaioyIUm9l52djbefPNNvPzyy87PlZeXIzk5ucv3RUZGOr92pqD7+eefx1NPPXXa51etWgU/Pz83ttp9amvlADgcPHgQ8pIDYjeHqWAjB0COn7cdQ2T9ESbPWVIqAyDDsWPHsKLhqCDPwZ8I0BPx/nIUtXB44/u1OC9CysmT3SsqtPf3iRNZWNF6XOzmuOzU19JmAwKUcjSbrHj/+z+RqhepYWeQU2Dv77y8PKxYkSN2c3osQSvDkXYZPv1jKy6MEebvwJW/y57KKrFfw4qLi7FiRaHbH5+FcKt9zCzbeBCq0v1iN+esjpfb+7uyogIrVqwQuzkui9bKUdrK4f2f1mJ4qOdf7/fX2Pu7tqZWsP4W4u+S194KAArszqvBb7+vgNyz5khPk9Vg7++mpiZJjm9NYxEAOVbvz8dQq+e//xS3AIAC7e3tkuzvdkf7d+ZW47flKyB3c8VaIf82PVlPj8zuUdDdWXJyMsrKyhAREdHl87W1tUhOTnbOKvfEI488ghdffPGs33Ps2DEMGDDA+XFJSQlmzZqFq666CgsXLnSt8d149NFHsXjxYufHjY2NiI+Px4wZM6DXe9jdscPnJTuApgYMGzoUs4fFit0cppLLmvDLO9uQ36rEtBkXQMVg1XDNskPYU12GgQMHYvb4RLc+tslkwurVqzF9+nQolcoe/UyOJgdvrMtBjToas2cPd2t7PMHWX44ClcXo168/Zk9JEbs5PXa213JV8wGsOFwBRPbH7AtSRWph946sOoE1pflITk7G7Iv6i92cHisLzMeRP0+gSROF2bNHuPWxe/N32VPFm/KAwpOIi4vD7NmD3frYrOhOVmPNZ3tRavLD7NmTxG7OWVVtzQPyTiIiMtLt44SF3dZj+HxHEczBSZg9O0Ps5pwTd7gcS08cREhoCGbPHu3Wxxby75JntdrwvxPrUd9mQtyw8RjhODXFUwXl1OCdo3ug0+kwe/Z4sZvTY/xrueDiifj89W0oaZNh0tSpCFC7HJYwdaS0Ef85uB0ajQazZ08+9w94GKvVhv+dXIeGNjMShk3AsDj3ZImx+Nv0ZD2taeby6LbZbKetcgNAc3MzNBqNS4/1j3/8AwsWLDjr96SkdNx0l5aW4oILLsD48eNPK5AWFRWFioqKLp/jP46Kijrj46vVaqjVp6dsKZVKjx04nMweaMrlco9to1AGxwUj1F+FmhYjjpS3YEyy8OlIMhnn+K9MsP52ZbxNHxSNN9blYEt2DaycDGqFXJA2iUXGj28B+1tI3b2W49PCseJwBXbm13nc7ySTyR3/lVZ/j08LB3ACuwrqIJMrIJe5/5A5Id4H5HJp9ndnY1LDIeOA4vp2VLeaER3IZqtPb0i9v8elhePzHUXYVVAvifYrFPbbSo7jPOL9sjdGJ4dg9dEK7C1qxJiUcMGexx1Y9LeQEsJ0iA/Roqi2DQdLmzG5n0T6G9LsbwAYnRSKv45VYG9RA0Ylh7n1sT05dhJST3/nHgfd/Gowx3F4/PHHu6ReWywW7NixA8OHD3epkeHh4QgP79kfWElJCS644AJkZmZi6dKlzhtz3rhx4/DYY4/BZDI5f/nVq1ejf//+ghV4I+zJZBzGp4XhtwOl2JxdzSTo9jSDYvSI0KlR2WTAzrxanJ/u2W9SpKOY2t7CerSbLNAoPW+iRGrnog+M1iNAbd/XfaysEYPdvK+bnFmAWoFBMYE4VNKAnXm1uGy4b2VcsTQ6yf4el1XRhPpWI4L8VOf4CdJXYx1B9868Wtwx2bMyk7zRmKRQFNUWY2dejccH3d5gbHII/jpmH9+3TaLxzVKPc3P37duHffv2wWaz4dChQ86P9+3bh+PHj2PYsGH45JNPBGlkSUkJpkyZgoSEBLz88suoqqpCeXk5ysvLnd9z7bXXQqVS4ZZbbsGRI0fw7bff4vXXX++SOk68w8Q0ewDjq+d1y2QcLhzgqGJ+jKqYS0FKmD8idGoYzVbsLaQqre6gkMswKsk+obqDKg0zxweDu/Kl0fdSm1TihevUSA2nCs8s8cc87sqrhcXq+fvopW5siv1asiNXGtcSqeP7eyeNb+Z6vNLNVy2/6aab8PrrrzPd77x69WpkZ2cjOzsbcXFxXb7GV/IODAzEqlWrcPfddyMzMxNhYWF44okncNtttzFrJ2GDP7t0f1E9mtpN0Gl8L5XlggER+GZXEdZlVWIJBondHHIOHMdhXGooftlfiu25tRif6t6ULl81NjkU67OqsCO3BrdMTD73D3gAm5fc44xJDsHHW/KwK48CQaGNSQ5FTlULdubVYPrASLGbc1beML4HxjiyaAyen0XjDf3NHwF5oNhzM8G8ycBoPfxVcjS2m5FV3oSBMZ5Zv8obuVyFaunSpcwLjC1YsAA2m63bf50NHToUmzZtQnt7O4qLi/HPf/6TaTsJG3HBfkgK9YPFavPZmdHxqaFQyDgU1LSisKZnVROJuMY4z5b2zTErBOeMfX4trBKbsZfqyitvtCPLIKuiCXUtRpFb4934oERKGR1SHt9yGSe5LJpuSi1JRkKIHyL1apgsNuwrrBe7OT0i5f5WyGXITOJXu+m8bpZcDrpbWlrw+OOPY/z48UhLS0NKSkqXf4SwMDHdvlK42UdTzHUaJUYm2m8KNp6sErk17iat4Kmn+HTcfYX1MDnOfid9MyQ2EH4qOepbTciqaBK7OT4lNMCe9gwAuwtotVtI/ITd4ZIGNBvMIrfGN/B9TkGJ8DiOc6b076D+ZkKKE3newOXq5bfeeis2bNiAG264AdHR0d1WMidEaBPTwvDF9kIm+7o9NQSclB6GnXm12HSyCtef596jzDyBt11a0sIDEOSnRH2rCYdLGjAigQo89pVSLkNmYjA2nazGjtwaZERTmhxLY5JDkFPVgl35tR6b9uwN6bcxQVpnhec9BXVUbIoBPgjcmWfPopEJcDoC6TAmOQS/HijFTgoCmRib3LGv+0ynUhH3czno/uOPP7B8+XJMmDBBiPYQ0iPjUsLAccDJymZUNLYjUu/acXW94WkXpfPTw/HyqhPYml0Dk8UKpVz4M8tJ78lkHEYl2quG7sqvpaDbTcYmh2DTyWrsLqjDggnS2NftLUYnheDrnUV0o8zA2GR7hecduVThmYUhsYHQKGWoazUhu6oZ/SJ1YjfJq/FB4N7COhjNVqgUdD8jpCFxgVArZKhpMSKnqgVpEQFiN8knuDyqg4ODERLie8c0Ec8S6KfE4Bh7cZNtOb6ZjjQ4NhBBfko0Gcw4UFQvdnNID/D7YKkKsfvw2yz2UIozc/yWicMlDWg1UtqzkMZ0WpkiwlMp7Fk0AKXgspAWEYAQfxXaTVYcKqkXuzleT62QY2QCP7598x5aDC4H3c888wyeeOIJtLZS8SaxnFpAzlfxZx9vz/XNC4ZcxmGio5L7xpO+ubddakZ3KqYmtcJfnmp4fBDkMg5lDe0oqW8Tuzk+JS5Yi+hADcxWG/ZLpACSVPETHAdLGmAwW0RujW8YlehYfaUJPcFxHIdRNIHKFH8/Qv3NjstB9yuvvIKVK1ciMjISQ4YMwciRI7v8I+x4Wroza+c5Khdv89GgGwAmpdvTDDd5XTE17zQ4piNlMaeqWezmAABsHlu1oGf8VAoMchx5QjcPbHEc5wwGaTVQWEmhfgjxV8FotuJIaaPYzfEJmRQEMkX9zdbIhCAANKnEkst7uufOnStAMwhx3eikEMg4oKCmFaX1bYgJ0ordJOb4Ku4HiurR0GpCoJ/vnVkuJSqFDCPig7Ettwa78uuQTvsE3WJkQjAOFjdgT34t5gyLEbs5PmW0owDSLjoKT1Acx2FkQjD+OlaBvQV1ztRQIpzhCUHgOKCwthWVTe2I0AlfO8aXdQTd9VTciwG+rkx+TSuqmw0IC1CL3CLv53LQ/eSTTwrRDkJcptMoMSQ2EAeKG7AjrwaXj4gTu0nMxQRpkRYRgOzKZmzJqcbsIdFiN4mcw+gkPuiuxbVjE8RujlcYlRSMT7bm09FVIuALIPFH4XlqQUdvuH/PTHQE3YU0zlnQa5ToF6FDVkUT9hbUY9bgKLGb5NUGxwZCKedQ3WxAUW0bEkL9xG6SVwvUKtEvMgAnKpqxt6AOMwbR+BZar94d6+vr8eGHH+LRRx9Fba19dnvv3r0oKSlxa+MIOZfzUuz7un21mBpAKeZSM5oKIrkdv0JyrKwRLXSOMVNp4QHQaxRoM1mQVU5npQuJTwfdU1BHtV0Y4Qs10kSH8DRKOQY5CuRSf7PhzC6g/mbC5aD74MGD6NevH1588UW8/PLLqK+vBwD8+OOPePTRR93dPkLO6jxnMTXfDWAmpFEfSMmIhGDIZRxK6ttQ6kGFv6S8EhgdqEVskBZWG7CfKvkzJZNxGO5IU9xHN26CGhoXBIWMQ0WjgYoGMkL7jNmi/maLTzHfV1AvbkN8hMtB9+LFi7FgwQKcPHkSGk3H/pbZs2dj48aNbm0cIecyOikEchmHwtpWn70JGZ1s39ueV92C8oZ2sZtDziFArcDAaHvhL9oH6z78zdpuOo6NuRHxQQCAvVTBXFBalZyKBjLGX1cOUdV4JijoZovv7wPF9TCarSK3xvu5HHTv2rULt99++2mfj42NRXl5uVsaRUhPBagVGBJrT0faLlCKuadn8ek1Sgzm+8CHK7lLCV/xmYJu95FKmpzUq8V3Z4Qj7ZlWuoXnTHf20KDE28a3p1eN97b+5q/jx8sb0eyBW4U8/X7QVSlh/gjyU8JgtuJomeeNb2/jctCtVqvR2Hj6C3PixAmEh4e7pVGEuMK5r1vggNOTs29pb7u0jE7ib5zrxW2IF+Fv1vYV1MEigTPQpZzOf6oR8R1VcGuaDSK3pivPHwmuyXTuMa4XtyHn4C3j2141PgiA5050eJNIvca5VeiAB28V8pLhDY7jkJlA2QWsuBx0z5kzB08//TRMJhMA+wtWWFiIf/7zn7jyyivd3kBCzoU/r9uXV3nHOYLu7XnS7wNvm0nuDr+P6nh5I1qNnjebL0UDonTwV8nRZDDjZCUV9GIp0E+J1HB/ALSnXmh80H20jK4drIyklGemqL/Z8vTsGW/ictD9yiuvoLm5GREREWhra8PkyZORlpYGnU6Hf//730K0kZCz4vd1F9e1oai2VezmiGJUkr04F39muTfw5jM6owI1iNJrYLUBh4obxG6OV1DIZRjeqbozYYs/N5qqDgsrOlCLmEANLFYbDhTRtYMFfiVwN1WNZyKTzyygawkTI2mlmxmXg+7AwECsXr0av//+O9544w3cc889WLFiBTZs2AB/f38h2kjIWfmrFRga59t7mnW0r1tynPtgaWXQbYY7Cnp5clqit3JWwfXwtGdv0LESSDUhWOCrxlc1GVBc5x2T2p4sM9Gevbi3oA5WCWwVkrph8YGQyziUN7Z7zaKNp3I56P7ss89gMBgwYcIE3HXXXXj44Ycxbdo0GI1GfPbZZ0K0kZyB964Duo7f0+zLx2ZRmr20UPEp9xsaFwQAOEjZA8yNTAwCYJ/wkMKeeinjJzj200o3E1qVHBmOEydo+4TwBkTroFHK0NhuRm51i9jN8Xp+KgUyonUAKLtAaC4H3TfddBMaGk6/0Dc1NeGmm25yS6MIcZVzT7MPB5zjGBWUI+4xPL5jZZBSFt2DX+k+UdFE+10ZS4+w76lvMVpwooL21AtpmCOz61BJvbgN8SFDnX1OEx1CU8plGBRDY5wlfsKaxrewXA66bTZbt3sti4uLERgY6JZGEeKqzET7nuaS+jafTY8Z5djbXlTb5rNnlkvJkFh7SldlkwFlYp6v7kXxfqReg0i9GlYbcLiEjj9hSS7jMMwx6eGJKeacF+WGDYzRQ8YBFY0GVDSKeO3wIcMcQQltXWGDPwqWspbYGMr3N2XPCKrHQfeIESMwcuRIcByHqVOnYuTIkc5/w4YNw/nnn49p06YJ2VZCzshfrcBAR/rXbh8tBhGgVmBQjL0PqCCG57OnLNpTujwxSJGqjhTzelHb4YtGOvd10/VHSH4qBdIj7NcOCkrYGBpvD0oOlzTQPmMGhsVT0M0S/75J41tYip5+49y5cwEA+/fvx8yZMxEQEOD8mkqlQlJSEh0ZRkSVmRiMQyUN2JNfiznDYsRujigyE4NxsLgBewvqfLYPpGR4fBAOlzRiX2EdLh4aLXZzvMLw+CCsPlpBey9FMIRScJkZGheIrIomHCqux/SBkWI3x+ulhQdAo5ShxWhBbnUL0iICzv1DpNeGxAYBAI6UNsBssUIhdzkxl7ggPTIAaoUMTQYz8mpakBpO41sIPQ66n3zySQBAUlIS5s2bB41GI1ijCOmNUUnB+GRrvttXuqU055eZGIylW/JppVsiRsQH44vthR5Rwdxbjmjj917SCgl7fEroycpmtJss0CjlIrfIew2NC8SyPcU4QOOcCYVchsExgdhdUIeDxfUUdAssJcwfAWoFmg1mZFc1Y0CUXuwmeTX7Pno99hbW41BxAwXdAnF56ujvf/87NBoN9uzZgy+++AJffPEF9u3bJ0TbCHHJKMcxE8fKGtFscH8RJSnEJJmOo2SOljWiRYA+IO7FVzA/XNIAo9kqbmO8xFDHCklhbSvqWoziNsbHRAdqEOqvgsVqw/FyKqYmpCGdCh9RIUY2htCEHjMyGYfBsfZAm/YZs0GnfwjP5aC7srISF154IUaPHo17770X9957LzIzMzF16lRUVVUJ0UZCeiQqUIPYIC2sNmC/j+6RjQ7UIiZQA4vVhgO0p9XjJYf5I1CrhMFsRRYFKW4R6KdEcpg/ANDfAGMcx2FQrGelmHtrQJoRrYNSzqG2xUhnRzMyjOpFMOUMAqmCORMdxevqxW2IF3M56F60aBGamppw5MgR1NbWora2FocPH0ZjYyPuvfdeIdpISI+NSrKv9O7K993zukc6Vrv3Uoq5x+O4jtn8I6WeEaR4A09OMffSGNBpiGM8H/bAvvcmaoUc/aPsxdQ8ZYID8O7xza90HylthNniGZlJ3tzfzmPaPOhaYpPUhkPX8MXrPGl8exuXg+4///wT77zzDjIyMpyfGzhwIN5++2388ccfbm0cIa4a5Qg4fXlPM/WBtAx2nEd6mIJut5FCmpw3HWHV2RAPW+n2Zvw498SMDm8c38mh/tCpFTCYrThR0Sx2c7rwlpocnfFbhY6VNXnc9itv7O/ksAD4q+RoM1mQU9UidnO8kstBt9VqhVKpPO3zSqUSVqtn/VF4K2+e2eyrTMe+7n2FdT47U8f3wd7Cekke/eBr45tPxz1SSudKuwt/fOCxMupT1gY7xvOJiia0mywit8a78WfretJKoDez7zPmJ5XqxW2MD4gP0SLITwmjhbZfsSDvNL49cSLPG7gcdF944YW47777UFpa6vxcSUkJHnjgAUydOtWtjSNn54UTbX3WP0oHnVqBFqPFZwv5DIjWQauUo6HNhJwqz5qNJ6cbHNMRIPrqRJG78UF3SX0bGtpMIrfGt8QGaRHsp4TZasOJCt+8BrMyyJElc6ys0Wv3rnuaQc7rNY1toXEc58wEO1pGE0ss8EH3UVoEEITLQfdbb72FxsZGJCUlITU1FampqUhOTkZjYyPefPNNIdpISI/JZRyGOypC7y30zfRqpVzWqSAGvVF5uqRQf/ir5Gg3WZFbTSld7hDop0RskBYArXazZq9TQCnmLKRHBkDGAXWtJlQ0GsRujk/IcEzoHaXrChMDHHULaJKDDb6/j5fT+BaCy0F3fHw89u7di+XLl+P+++/H/fffjxUrVmDv3r2Ii4sToo2EuGREfBAA3w44+YIvdNPr+WQyzrlidZheL7fJoBRz0fCTfh41nr0wM0yjlCPFcZ7uMbpJZqLzdYWyC4RH13G2Ovq7ica3AFwOugH7TPb06dOxaNEiLFq0CNOmTXN3uwjptaFuPtZDihceKmYkLYP4is8ldGPhLgMdaaCUJsfeQErBZYaCErZSI/yhkHFoajejtKFd7OZ4vQHR/MorBYEspEUEQC7j0NBmQnkjjW9361XQvWbNGlxyySXO9PJLLrkEf/31l7vbRkiv8MdMZFc2o8VgdtvjSmmhpONokwbaJywBYlYw99bbmIGOmzVaAWSPT1E8UdEkyWKOUkLpt2ypFXKkRTiyC2hCT3BpEQFQOILAMprkEJxGKUdquD8AmsgTgstB9zvvvINZs2ZBp9Phvvvuw3333Qe9Xo/Zs2fj7bffFqKNhLgkQq9BlF4Dq83D0hsZSg71R4BagXaTFdlUTM3jdS5eQkGKewyMdlTRLm+GiSaemEoK9YdKIUOr0YLiujaxm+PV+KKBx+kGmRna98qOWiFHqmMLBfU3GwOiKFNJKC4H3c899xxee+01fP3117j33ntx77334quvvsJrr72G5557Tog2EuIyfrXbV/d12/cJ2y+cdJyM50sNtwcpzQYziupaRWmDlDI5eiIuWAudWgGjxYpcOnOUKYVchjS6UWaCTy/PrW6hI9oY6bzvlQiPTzGn/maDtqwIx+Wgu76+HrNmzTrt8zNmzEBDA93cE88wzFFMzZfPGqR93dKhkMuQ7khZpPNI3UMm45w3a3TcDHv8aqDY49nb80Yi9WoE+ylhsdqQXUlZTSxQUMIWVYxnK6PTPnriXi4H3XPmzMFPP/102ud/+eUXXHLJJW5pFCF95esr3QBVMJea/pEd+2CJe2Q4U2+pT1nrz6fg0ngWFMdxznRQCkrY4Cfz8mpa0Gak7AKhOdP5aXwz4cyeqWqm7Bk3U7j6AwMHDsS///1vrF+/HuPGjQMAbN++HVu2bME//vEPvPHGG87vvffee93XUkJcMDQ2CABQWNuK+lYjgvxU4jZIBEM67RM2W6xQyHtVN5Ew0o9fGayg1Sp34bMHaAWQvf4estLtCzKi9diWW+MRk0venlkAABE6DcICVKhuNiKrognDHZl1YvCF/ubrFuQ5tlBolHLR2uILBdQjdGqE+KtQ22LEiYom54lApO9cDro/+ugjBAcH4+jRozh69Kjz80FBQfjoo4+cH3McR0G3QHzgb77PAv2USAz1Q0FNKw4WN2BSv3Cxm8RcUqg//FRytBotyK9pQVqETuwmkbNwrnRTkOI2/Jj3xGKCnLdtoj8Fv/qaV90Cg9kCtUK8G2Vv1y/SPrl0stJzrh3ePr7TI3Sobq5BdmWzqEE3z5u7O1ynRqBWiYY2E3KqmjHIcdoHEQbHcegXGYDtubXIrmymoNuNXA668/LyhGgH6QXOqy+zfTc4JhAFNa04Vtbok0G3TMYhPVKHA0X1OF7eJJmg2+aj00r8SndOVTOMZitUCspM6Kt0RzBSWNsq+gqJr4nUd9woZ1fSjbKQUh0ZHTmU0cFMWkQAtuXWUBYNAxzHIS0iAHsK6pBT1ULXEgZSwzuCbuI+dFdHvFaGs+Kl7+4DypBwiqe3r5ScKiZQgwC1AmarDfk1VG3bHUL9VQj2U8Jms09mEHY4jvOoFHNvvpzwleJLG9rRYjCL3BrfkEZbV5jixzj1Nxs0voVBQTfxWnx6Y18rMEp53dVZzMgDbnrJ2fEpXYBnBCnegF8hAejmQQz8nnqa8BBWsL8Kof72uiV0PB4b/HUll8Y2E2mUzcGU832TxrdbUdBNvFaG45zq7MpmGMx9r8DISXDp1ZNWmsi50evlfs593XSzxlxKOB+YUCAotFTnTTJdO1jgg5KC2lYYzVaRW+P9aPKULb6/C2taYbLQ+HYXCrqJ14oJ1ECvsafr5lT65k0fv9pfWNtKaYcS0C+SMhPcjV9tPUlV4ZlLCfcHQEE3CxSUsBWhUyNArYCFtgMxwY/vvOoWmCkIFFyUXgN/lRxmqw0FNL7dhoJu4rU4jsMA/pzect/c1x3ir0K4Tg2Azn+WAj7oppRF90n3wMrOviI1zHGjXNMCi1XKG3U8H+15ZYvjuI7sAupzwcUEaaFWyGC0WFFU1yZ2c7wejW9h9Cro3rRpE66//nqMGzcOJSUlAIDPP/8cmzdvdmvjCOkrvpCYLxdTG0D7uiUjOcy+MlhYyy6ly+blB4/yKyT5NZQGylpssBYqhQxGsxUldKMsKLpBZo8mOtiRyzjndhXqbzb48Z1DmUpu43LQ/cMPP2DmzJnQarXYt28fDAYDAKChoQHPPfec2xtISF90rHT7bsA5gPYJS0aUXgOt0p7SVcw6SJFeyYIeidJrnGmghbV088CSXMYhOdQ+kZRTLc6NspfPKTk59xjTHkxmKKWfrTQqzMgUTeS5n8tB97PPPov33nsPH3zwAZRKpfPzEyZMwN69e93aOEL6KsMRdPvySnd6RMf5z8SzyWQcksL4fbD0erkDx3FIDPUDAORXt4rcGt9D+7rZiAnUwM+5B5PGOQsUdLNFmQVspVJ/u53LQXdWVhYmTZp02ucDAwNRX1/vjjYR4jb8EUzVzUbUtRhFbo046KZXWlIcQXdeNb1e7pLkWG2lgkfsdVx/6MZNSBzHOcc5FT5ig98OVFDT4vXbdDwBfy3Jp/dGJlI79TeNb/dwOeiOiopCdnb2aZ/fvHkzUlJS3NIocnY0+HvOT6VATKAGAJArUnqj2Ph9UCX1bWgz9v3oNCIsZ5BCNxZuw6900wogeylhlBLKijOjg8Y5E/EhWnAc0GK0oMZHJ/VZcl7Ha2l8sxAf4geOA5oMZtS1msRujldwOeheuHAh7rvvPuzYsQMcx6G0tBRffvklHnzwQdx5551CtJGcgQSPjRaFr+9LCfFXIcjPvhWEVk89H796kscoM8EX5vA8aaXb1yZNKdOGnUTHOC8UcZz70vhWK+SICdQCEC+7wJf6OzHEPr6rmgyiHYHqO70NaJRyROnti1ae8N7pDVwOuh955BFce+21mDp1KpqbmzFp0iTceuutuP3227Fo0SIh2khIn6T2tQKjF1xl+ZRlX13tl5Jkeq3cLsmZBuo5KyS+MmnKr3RXNhlEzbTxhf72pJVuX+hvAEgI8YwsGl/o70A/JQK19gWEQpFXu32hv4GO8V3oAdcUb+By0M1xHB577DHU1tbi8OHD2L59O6qqqvDMM88I0T5C+oxf6c7p40q3lC+yfIq5FFabfGjivlt8kFLRyHY2n/PW8uUAkhzBSHEdHRvGWqCfEnqNAgBQVEc3bkLig26xAxJfkhTmGUG3r0iirUJM0dYs9+rVOd0AoFKpMHDgQIwZMwYBAQHubBMhbsUXg/DlPYUpEuwDbw4CzybQT4lQfxUA2g7gLuE6NbRKOaw2e+BN2EoIpdUSFvj08uK6Vpjp2DAmEkKoeB1LCfwWCjr+kYlEKs7oVi4H3S0tLXj88ccxfvx4pKWlISUlpcs/QjwNf8xEYW0rDGbfLCTGr55KYaWbdKRD0z4q9+h8bBjN2LPnTFGkFVhBRes1UClkMFlsKGtoF7s5PiGJinsxlRjiOVsofAEVr3Mvhas/cOutt2LDhg244YYbEB0dDU7KObfEJ4Tr1NCpFWgymFFQ04p+kTqxm8Rcaqdje2w2G/3derj4YC32FNShqLZN8OfylWz+pFB/HC9vEn0iwxe3T8RT0M2ETMYhPliLnKoWFNS0OvudCCdB5Mk8X7ucJIqcNeNLheuAjuJ1NFntHi4H3X/88QeWL1+OCRMmCNEeQtyO4zikRATgQFE9ciqbfTLoTgz1h8xxtElVkwERjoqUxDPxN8u0B9Z9Eh17Lz3njFffmfiKD+7YU0+ElRjqbw+6a1swEWGitcNXtgfx6be1LUY0tpug1yhFaYevzKM7051FTi/3lf7mJ5Wqmw1oNpgRoHY5bCSduJxeHhwcjJCQECHaQohgUn387GOVQoZox9Emnh7I+dY8cvc6ghThV7p53n4TIUafEjtKL2eHtlGwFaBWICzAXoODahYIjx/fJXVtVBSTgUCtEsGOI2dpfPedy0H3M888gyeeeAKtrdT5RDr4FBlfvmjEhziCbgYpy+7g7UHg2cQ5XqtiClLcJjbY3qcl9dIY/96kc9Dta+mZrCXSET/M0aQSOxE6NTRKGaw2oJSu5UxQ8Tr3cTlP4JVXXkFOTg4iIyORlJQEpbJrKs3evXvd1jhC3CUh1H7DLXZKkpjig/2wHbUoohsDj9d5VdZqtUEm8+EZCDeJC3IE3bTSzVxMkBYyDmg3WVHVbECEjra3CCXWce0obaBxzkpssB/2FtZTEMgAx3GIDbLXLSitb3MWHSXCiQvW4kBRPUrqqThjX7kcdM+dO1eAZvScwWDA2LFjceDAAezbtw/Dhw93fu3gwYO4++67sWvXLoSHh2PRokV4+OGHxWusQGidwHX8THRvVnltXtLjVMxIOqIDNZDLOBgtVlQ2GRAVKFyQ4isLj/xKd5PBLOreSx/p7i747S0l9W0oqm2loFtAMUH2vhUrAPSV60lnfJ+LkkXjk/1tD7rF6G8f7G7EOiasaVKp71wOup988kkh2tFjDz/8MGJiYnDgwIEun29sbMSMGTMwbdo0vPfeezh06BBuvvlmBAUF4bbbbhOptcKita+e4wPO0gb7PiCVwvUj6qXe3wlUnEsyFHIZogM1KK5rQ1Fdq6BBt6/wUykQ7KdEXasJJXVt0EeLE3TzfG37REKIH0rq21BY24rMRPZ1YXylsBd/g1zdbES7yQKNUi5KO3xpfHtCUOIr4xvo3N/irbz6Un/HBIo7kedNXI88RPTHH39g1apVePnll0/72pdffgmj0YiPP/4YgwYNwjXXXIN7770Xr776qggtJZ4mPEANrVIOm813K+hKZU+3L66UdIdPMWe1HcAXbiGc+7opxZy5GA+4UfYFgVol/FT2QJvO6mYjJpDGNksxHjDJ4Uuov93H5aDbYrHg5ZdfxpgxYxAVFYWQkJAu/4RSUVGBhQsX4vPPP4ef3+lnT27btg2TJk2CSqVyfm7mzJnIyspCXV2dYO0i0sBxnM8XO+FX+8sa2mCyeH7VT18IAs9GKpMkUsKvkFAxNfb4FNwy2mssKI7j6CaZsRi6rjDlHN90LWGiY3zTpFJfuZxe/tRTT+HDDz/EP/7xD/zrX//CY489hvz8fPz888944oknhGgjbDYbFixYgDvuuAOjRo1Cfn7+ad9TXl6O5OTkLp+LjIx0fi04OLjbxzYYDDAYDM6PGxsbAQAmkwkmk8lNv4F72az2pUCzxeKxbfREccEaZFU0Ib+qCaaU7sdDdyyOANUiQH/zj8fidQxSy6BRytBusqKguslZ5dbTWG2O/rZKa3y7+7XkU7oKapoF7Qer1eL4r1VS/d0b0Xo1AKDwHH0q5N+lxeI7/d1ZhONYpZK6Vqa/t7O/bb7T39F6NbIrm1FQ3YwxiYFMn9vsHN82Sb9fuiIywH4rXdtiRGNLO7Qqdin9ZosZgP0+2dP65Wz68lpGBti3BrG+lgCA2SzN/u6LCMf4rm42oLm1Heputqx46t8mKz39vV0Our/88kt88MEHuPjii7FkyRLMnz8fqampGDp0KLZv34577723x4/1yCOP4MUXXzzr9xw7dgyrVq1CU1MTHn30UVebe07PP/88nnrqqdM+v2rVqm5X1D1BQ4McAIf9+/fDUrhP7OZIhqVBBkCG9XuOIrjmcI9/rrzc/nNHjhzBChd+zhWrV68W5HFPFaiQo93E4cc/N6B/kGfmcZcU2/v7+LHjWNF4TOzmuMxdr2V1FQdAjsO5xVixotAtj9mdvHx7f2fn5GCF6aRgz+MJGsrsfbrneB5WWHPO+f1C/F2eKLK3obCwECtW5Lv98T1VUZ399z5RVIUVK1Ywe96sUvvzlpWVYcWKEmbPKyZzo/1veuPuQ/CvOHDO73en/Y7rVnW1cK8zq/fLnrLZALVcDoOFwze/rUSklt1zH3H8XTU0NDD9u3KX3ryW1e0AoEBRbQuWL1/BtH5AXpP9uVtbWyXZ371hswEqmRxGK4dvfl2J8LOMb0/722Slp8douxx0l5eXY8iQIQCAgIAANDQ0AAAuueQSPP744y491j/+8Q8sWLDgrN+TkpKCtWvXYtu2bVCr1V2+NmrUKFx33XX49NNPERUVhYqKii5f5z+Oioo64+M/+uijWLx4sfPjxsZGxMfHY8aMGdDr9S79Pqx8XLgdaG7E8OHDMXNwtNjNkYya7YVYv/w4lEFRmD17eI9/bkXDfhyorcSgwYMxe0y8W9tkMpmwevVqTJ8+/bTj94TwY81eVJyoRky/IZg9Kk7w5+uN9T8eBqpKMSBjAGZPTD73D3gId7+WIbm1+CJ7N8zKAMyePdENLeze3hXHsaGsEGmpqZg9PV2w5/EEiqMV+Cn/AKzaIMyefd4Zv0/Iv8ucdTn4ozgHiQkJmD17oFsf25Olljfh/ePb0AoVZs++gNnzlm7KBQqyER0djdmzhzF7XjHlrc/FtjXZ8I+Iw+zZg5k+t2l/Kb7IPozw8HDMnp3p3sdm/H7pirdzt+BkZQvSh43FxLRQZs+rzarC+8f3ISgo8KzXNE/Tl9fSYLbi2f1/wWTlcN6UaQj1V537h9xkX2E9/nt4J/z9/TB79vnMnldsb2RvQW51C/qNGItxKaePb0/+22SBz5I+F5eD7ri4OJSVlSEhIQGpqalYtWoVRo4ciV27dp0WFJ9LeHg4wsPDz/l9b7zxBp599lnnx6WlpZg5cya+/fZbjB07FgAwbtw4PPbYYzCZTM4XfPXq1ejfv/8ZU8sBQK1Wd9tupVLpsQOHc5zZq5DLPbaNnigpPACAfV+KK/0mk9lLH8gF7G9W4y3OUZyrstnksWOHc0xby2XSHN/uei3jQu3jtbzRAIVC4ewXd+sY3zJJ9rcrEsN0AIDSekOPflch/i7lMntqnkzm/f3dWbyj7+taTTDbZMxScOVyR39zvtPfCaH2s4vLG3s2zt1JrrD3N8dxkn+/dEVssB9OVragstnItG0KBv0tpN68lkqlvThuZZMBVc1mRAWxO6tbrrCHTVLt796KDdYit7oFFU1nv3f0xL9NFnr6O7tcSO3yyy/HmjVrAACLFi3C448/jvT0dNx44424+eabXX24HklISMDgwYOd//r16wcASE1NRVycfbXu2muvhUqlwi233IIjR47g22+/xeuvv95lFZv4tmhHhVFXC/l4UzXtaMc+4XIJFCDxpSNnuhOlt79WrUYLmgxmkVvjHfjxX91skEQxQW+i1yjg76yqze76Y/OmC3gPOQsfUZV+ZqjYFFtUvI6tuGCq0O8OLq90v/DCC87/nzdvHhITE7F161akp6fj0ksvdWvjXBEYGIhVq1bh7rvvRmZmJsLCwvDEE0947RndxHX8sR51rSa0GS1Mi514iijnxANdOD2dViVHoFaJhjYTyhvaodf43uyxuwX7qaCUczBZbKhqMjhv3IjwOI5DVKAGOVUtKG9oR4oj84i4n/MIq4Z22Gw2wbJkSAdPOKvbl8QGabG/qJ76mxH+mlJS75un/7iLS0G3yWTC7bffjscff9xZKfy8887Deeex3UeSlJTU7ez10KFDsWnTJqZtIdKh1yrgp5Kj1WhBWUObyzd93nDbwlfEpqBbGqIDNWhoM6GsoR39InViN0fyZDIOEToNSurbUNHYLkrQbYPvrbzyYoK0yKlqQSldfwQV4ajSbzRb0dBmQpAfuz2vPphYAACIdGQmVTSyHds+399NrK8lvtnhkYH8+Dac4zvJ2biUXq5UKvHDDz8I1RbSQ756ke0rjuOc6aW+GnRGOdPLffP3l5ooBtsBfO16wgckYt88+OLio/P6S6tTgtIo7VkyAFDZJM4497XV9Qid/bpSJVZ/i/Ks4uGv41UiXcd9rr8d41us64m3cHlP99y5c/Hzzz8L0BTiMl/7q3cDfmXLlaDbm1am+CCu2WBGU7uHnqfoPd3dZx178OmNzl0idfY+rWS+QkKiO6U9s+ZjMSAinZNLNM5ZiKD+ZooPAtmvdPumCP59k8Z3n7i8pzs9PR1PP/00tmzZgszMTPj7d60a6Mo53YSw5usrLX4qRZd9wjoP3ifM0awSovT2IKW8Ufjx6iv9TcGIePhJvyq6URZchE6DExXNqKR0UCb4yby6VhOMZitUCpfXtIgL+PRyGt9s8JNKNS1GmCxWKOU0vnvD5aD7o48+QlBQEPbs2YM9e/Z0+RrHcRR0E4/Wl5UWb1kp6bxPOJ32CXs0X98OIYQIPe1NE0t4gLgpuL6E0kHZCvJTQiWXwWixoqrZ4CysRoRB45utED8VFDIOZqsN1c0G5700cY3LQXdeXp4Q7SCEiZggPojxzZVuwL7adLy8ifZ1SwDtwXc/sQoe8XxtD31n4XSjzEwEFfZiiuM4hOvUziKNrIJuX+1vPt25oc2EdpMFGiWb02h8tb9lMvv4LmtoR2UjBd291af8AJvN5pNnYBLpch6Z5cJZg942xGn1VDqcQTelQrtNlMhBN89X0vk744Pu6mYDrFYvu7B6GCrsxR6fgitKyrO3pOL1kF6rgNqRwi/GGPe1QoFAp330dD/Sa70Kuj/66CMMHjwYGo0GGo0GgwcPxocffujuthHidvyRWaW+vNLNcJ9wb9CteIcwRzpufasJJotV5NZ4h0gPqV7ui/jxbLLY0NDmoYUcvYRzzyvtn2emY6KD+lxoHMd1THJQfzMR4bym0Htnb7kcdD/xxBO47777cOmll2LZsmVYtmwZLr30UjzwwAN44oknhGgjIW7DnzXY1G5Gu8ni0s96y8qU86gND79w+uBE8mmCtErIZfaOqGk2CvpcvtLf/I0Dn5ZI2FEpZAj2sxdvrGr27OuP1HnK0Xi+hE95pj5ng/qbLdpH33cu7+l+99138cEHH2D+/PnOz82ZMwdDhw7FokWL8PTTT7u1gYS4k05tT0kymK2oajIgPsRP7CYxF0bFjCRDJuMQFqBCRaMB1c0GZ7o56T29RgGNUoZ2kxWVjQYkhPreNUBM4To16lpNqGoyoB+DQo6+mjnT+Wg8m83mk+mwrEXSyitTzv6mdGcm6NiwvnN5pdtkMmHUqFGnfT4zMxNms9ktjSJEKHyxE6DnKy3/396dh8dR3HkD/86tOXRal41PYWNj4wsbHOHgsNj4DAu7OQgvmCOEBMfJhoUQjhDIQYBsSPbNS0jIhg0ku1nIBSFrDNiAMZdjMD5lG99Yxlg+JEujc85+/2h1j8YaSTNSV8309PfzPDw2kjzTqq6prl/Vr6ryrdNWHnADAE4JnjklY3CQxFg2m00v01Pt8ss039qTTFVkea2xVWgz3V2ROFpD8vpmVq7felAisW6zvFnesiQGldh2D1bGQffy5cvxy1/+stfX/+M//gPXXHONIRdFJJLVO309Bx24EWLu04NuQem4VqwDw7rLVHTKfn+sOvHIY8PkKHA5UFigJjNmY2bKivW7Iosp/RYsbr0vw/KWg2vohy6t9PLbbrtN/7vNZsMTTzyBNWvW4BOf+AQAYOPGjaivr8d1110n5iopiWLpsbahG2ynL186EVoQF47GEeyKotjryvIVJbNiENgffVaWa2ANM8yvZns0skylyzTTyCh50nxnpDzgQWtXFI1tYYyvzPbV5L9yv1q3m7KQQWNFWl+ukeUthd4XaWWW5GClFXRv2bIl6f9nzZoFADhw4AAAoLy8HOXl5di5c6fBl0f94RqtwbH6THeBy4FCjxOtoShOtYVyLuimZOWF3csBBD/orNSa6EF3OzsPslm9/ZWpzO/GoVPtaGI9l6Kse+lWU3uY6+glKPMnypvE61nerN+Dk1bQvW7dOtHXQSRNxmu683DitaLQg9ZQFCdbQzi7IpDty6F+VHCm23C5kF5uVQy65Snj4JJU2mBeJKagNRRFUQEHtEXSBjnYjssxrDuTIxyLoz0cQ8CT8V7cljeoc7qJzIydPqYsmwk3UjNeYqY7C2Waj6N4GWB9lmdYFmYCrbw8qMDlgN/tACAvELRyeWenfkt7q5zjdTvgdan1u4kDHYOS8TBFV1cXHn30Uaxbtw4nTpxAPB5P+v7mzZsNuzgiEQa9plvExWSJlrLMjm/uEz1AYsU+xLBA9tMS86k9yYSeotjBTpto2Uy/tWz9DrjR3tSJpvYQxpX7pb2vFTN9tfrdGYmhMxyDt3vAQwoLljeglvnR5k40tvO4zcHIOOi+6aabsGbNGnz2s5/FhRdeyJx+Mh3OdOf2TLcVg8D+6Gu6c/BemdUwvf4z8JNN6yif5rpA4ZheLl+Z34MjTZ1MeZYg4HHC7bAjHIujsT2EkW4GgaJpQTfX0Q9OxkH3qlWrsHr1asydO1fE9RAJd+aRWQN3+vIvDKwwwS6U7IyrtAGS0x0RRGJxuByCVgVZqLy5e3n2lPrUso/GFbSFoijkuldhEhkdrOeyZCPl2apsNhvK/G40BLvQ1B7GyFIG3aJxIG9oMu69nXXWWSgsLBRxLURSnHlklhWVZ+nYHspcqc+tx8OnmZJriGFn7DJM8hS4HPB1p4Gebo9k+WryW5mfGwbKxqBELpa3XBxUGpqMg+6f/OQnuPPOO3H48GER10MkXIHLoe+6eDqDhiOfJgJ5ZJJ5OOw2/Vi35g4GKUbQOmrRuIJgp9yBN4b4idluGeu6rTymkpWNpqS9U26SXeaWL29tAJUb10nBY9qGJuOge/bs2ejq6kJNTQ0KCwtRVlaW9B+RGZT41CDGqpv5lHY3nM0W/f3NRgtSMhkkSpcV+xAepwOFBerA26kspd5aeflEz3XdJI5ezh3yMzqsWr+zFZRYs7RZ3rLxmLahyXhN99VXX42jR4/iwQcfRFVVlWUbVjK3Mr8bH53uTKvTl49BSWn3oEMudnrzsbyHShskOs2ZbsMM87vR2hVFY1sYZ1dk+2qsRR/0zMH2J5+U9Tg3OtgV1TNmSBymO8vF8pYrkcnBpYmDkXHQ/c4772DDhg2YPn26iOuhdDAoGbISbebQokGMNnMa7IoiGovDKWpzriHgcF6Cdr+YmWCcMr8bHzZ2cJ18FvScgZXFivMD2rnR7eEYmtrDDLol4OZ1cjEIlEvbJ4IDpoOTcU970qRJ6OzsFHEtlCEL9iEMUzaImV5bHpV4z85Xc6c1Bx7MRMZMd/7U7vRon4EW1n/p9DXd7LgJV8YgUCo9KGH6rRQMAuViZsHQZBx0P/zww7j99tvx+uuvo7GxEcFgMOk/IjPQ1jRbdU2302FHUfeaVs6e5j7OdBtPy3ZpsWi2SzZlY6bbqsr0AQ5J9dzimXhlEjcJBLgcq8wvd6mKxYub+3EMUcbp5YsXLwYAzJ8/P+nr2nnHsVjMmCsjEiiTICZfG9lSvxvBrqhlU+zNRF+DL6Ajp+RtDe+fviN8p9zOg9U7yUCPQU923IQrylJGh9UyZzRau9IViSMUjcHjdEh5X6vur5S1+m3R8i7pLu/2cAyRWByuHFyamMsyDrrXrVsn4jqIpGKnTx14ONzYkXMjloxJerP6HgQiaCn7PIZNvjJ9N36WvWh6RgeXUUhRWOCEzaYOrrV0RlBZKCfotqoSr1a/5R79aFVFPZYmBjsjGBbwZPFqzCfjoPtTn/qUiOsgkqp0MGtk82xgU+TsqREsOpCcUhmPeDNcYqabwYhspX5rH9koU7FX7eYx6JbDbrehqMCFls4Igp0RVBYWZPuS8lpxdz8m2BnRM25JHIfdhkKPE62hKFoYdGdsUHkBb775Jq699lpcdNFFOHr0KADgv/7rv/DWW28ZenFEopQJPPfYLEo5e2oaUjZSs1hfpaRHZ43kEnnuPCXTNwzkAIc0+oAen63CaWUdjsXRFYln+WqsoYgD1oOWcdD9l7/8BYsWLYLX68XmzZsRCqk7Yra0tODBBx80/AKJRCjNYCMfJU8XYWZSBpRd3EjNeFpaIjvG8mkd5dauaN62r7lC9i79Vt0joie5ZW7t8va7HXDY1RFjGftzsLniyR9DkXHQ/cADD+Dxxx/Hr3/9a7hcidz+uXPnYvPmzYZeHJEoPWd5rdrp09LLm7muMuclgm7j66tFq7+elih9IzWLd5KBxEyJjNkpq5d3Ys2r7I2mpL5dTslGUGLV4rbZbCxvyZglNngZB9179uzBvHnzen29uLgYzc3NRlwTkXBaoxGLKwh2WXMDjhLJR5uky6qDIP3R6ms0rqA1ZM36arRsp4BaOSjxux3onpxCsIsdN5GYCiqfNqDHmUA5SvQlFCxvGTjTPXgZB93V1dXYv39/r6+/9dZbqKmpMeSiiEQrcDngc6u7iqabsptvfeRcT1nOt/IeigKXA15Xd31lZoIhSnqkOMfiHOiRyWaz6cGgtNkSi45ysIMsH8tcrmwdG2ZVxRzkGLSMg+6bb74Z3/jGN7Bx40bYbDZ8/PHH+P3vf49vfvObWLFihYhrpDOwe2iMogKt09f/zGG+lncpj0wylcICdRdiUTODNosNcxSfcfQJyaWVP2e6xSqWPbhBWc+isRoOcsjFkz8GL+Mjw+666y7E43HMnz8fHR0dmDdvHjweD775zW/i61//uohrpD5YdODeMEVeJxqC1u30FRYkZvoo9xV5XTjRGuL9MojTYdePPmnujOgbC5Ic2qAnO8pilfRIdeaRSnJwoEMuBt1ycfnE4GUcdNtsNnz729/GHXfcgf3796OtrQ2TJ09GIBAQcX1EwiRmuq3ZcBR1n9/aatFBB7MRNdOdr5kc6SjyutSguyMMwC/lPbllgUprfwbKNKKh0QKSSExBRzgGvyfjbl9GWL/lBoEsb7mDHFbfmBHgIMdQDLr1dbvdmDx5spHXQiRVUYbpjfk2Q6ANOrSHY4jG4nA6Ml5tIgQfaakVMTPBcCU+F442d2YlTc5q6fxn0gc9OegnlM/tgNNuQzSuoKUzIjzoTrBu/c7KbtrWLW49m0NmO27l8mbQPXhpt75f/OIX0/q53/zmN4O+GCKZigrSm2nJ15HkQEHi49/aFc259Np8G+QYKn2mmw86wzANNHusnmkki3akUmN7GC2dEYwo8Wb7kvJeCde8SsUgUC4+Nwcv7aD7qaeewpgxYzBz5kwe6UN5weob+bgcdvjcDnSEYwh2cU1rrivycqbbaAGPtsSCZSob1wXKU+xTg25u7CUHd9OWi+UtV4lXO/mG5Z2ptIPuFStW4Omnn8ahQ4dw44034tprr0VZWZnIayMSSvqRNTmosMCJjnCMQYcJCN+93IKJBdpmgm08+1y6dDONaOg4EygXy1sulrdcLO/BS3sR52OPPYZjx47hW9/6Fv73f/8Xo0aNwuc//3m8/PLLnPkmU0qsKUyv05ePMQlTPM0jsabb4I3ULNx8awMZMjcTtHBxJ8l0Tw0aPJmDS6zfibY6HI0jFI0JfS+Wd6K822RMHrDA9U0wOyPqfkCUvox2TvJ4PLj66quxdu1a7Nq1C1OmTMFXv/pVjB07Fm1tbaKukUiIxO65/Xf68rmNzcmObz4X+BBwZtB4WtAtpbN2BitmFvQkayM1Kw8qaQo9Wj3nRlMy+D0O/e/tIbFBt8bKGzPq7bjEjCUrl3fPzRhl1e98Mejtiu12O2w2GxRFQSzGQifz4e65PVOWcy+Qs3KnLRV9TXfIuvXVaFzTnT1MUZRHq+dcRiGH02GH16UG3tkY0LMavX6zrKVwOewocKnhI/sjmcko6A6FQnj66adx2WWX4ZxzzsGOHTvw85//HPX19Tynm0wnsabbug0108vNI5EKbd36ajQt7baVwYh0ss/ptvIYnnZSBeu5PIky57NVNK2s28JRxONMbZEh4OF+KIOR9kZqX/3qV/HMM89g1KhR+OIXv4inn34a5eXlIq+N+sB0OWNkOtOdjzOveseXgVzOEz1AkofVe0CBLKzpJpVWnznTLR5nAuUr9DhxsjXEMpdAq9+KArSHo/pgKolTWODEqTbW70ylHXQ//vjjGD16NGpqarB+/XqsX78+5c89++yzhl0c9c+KnWQjpb2mO49HOQoFbc5FxkvcK6MfcvlbvweSjbWAedycZEQb8GgPRaEoCmz5OKqZI2TWc9ZvVUBSmbO8AY/TDpfDhkhMQVtIbNDN4lZp+xYw8y4zaQfd1113HR+KlFe0mZb2sLoDo9Mx6C0OTCsxe5o7DafCx1pKiayECIMUgxRlMWXf6ndP24wnGlcQisZR4HIM8C9osLIx0231+i19QM/CBW6z2RDwOHG6I6LW8WIZ7yn+PXKZvh8K08szknbQ/dRTTwm8DCL5tIcioHa6S/3uLF5NdvQM5HKNxZ9pvWij95EYgxSj6OvSOFovnd/dcwfcKOuzQFzTLR83aZQrUKAG3azjcvDZOTjWm9oj6uZ02OFzqx29dILOfBzZZHq5efjdDti76yA3vjMGN6fLHofdltjhmR1lobimWz5uNCUXg0C5Epkc7ItkgkE3WZrf4kep8Oxn89BS6AAxG9/l46DSQLQZwHAsjlCUR1/KJmvdq9Vpg6ssZ3n0oIRBoBSFFu/LycaBvMFh0E2WpjUc7SFrdrh5fqu5aPerI2zc/bLyRjwBd/ISExm4Z0GC1dtfWaRupMb6DaBnernYmUCWtyogaZDDys/LnrhkZXAYdJOlaTswtlu04fDrnd7c+f35UOub1TMzjGa327I2Ym/FzIIzae0vUxTFyspGahav37KDEosXNzf2kowz3YPDoJssLZOZXlsePtb0mSYDZ04NY/VeWwo+zgwajuu6syfR/oqrzxzE4zKKbGBQIpesmW5SZeO4zXzAoJssLZDGTG8+d9q0mdOuSBzRWDzLV0MDCXTPDBqZXm51iRkSzrbKlk77axQrj+H5s7CMwuoYlMiVWNPNdlwGLk0cHAbdZGlWT9fV0jsB9bxyym1a51lEfbXqud+c6c4eP2cDpXDYbfB3n9TBspaDQYlcLG+5eCTe4DDoNiFunGEcv8XTdT1OB1wONdjKpXXdlJqINfj5nMmRjkCB5KNmLF7ePbGjLI+sneKt3p5oZKWXs7xVAUmDp+x/q3jyxOAw6DYxq85MGSmTNc35Wtw+d25tpsZORN8SG09Zc5BIBG0GsCMit0zZfstNL7c62TNT+bgHSiakb6Rm7eKWPoBn9fa7kOeiDwqDbrK0dNJ1831kMzHwkFuBnLUfaalpM90dDFIMow06sUzls/ryHpkCPKtbKgYlcvFcdLk40z04DLrJ0qx+ZBjAMjATbZAoJ3ebNym9/ufYoJMVML1cHm40JZcWlHRGYtykVIJA9yAH1xjL0bPtjsfze2LKSAy6ydKY3sjZJjPxSzhiyWo40509bH/l8WnLKDi4JIVW3oAaeJNYPu1kjwjbEhl6bsLL+p0+UwXdL7zwAubMmQOv14vS0lJceeWVSd+vr6/HsmXL4PP5UFlZiTvuuAPRKD+A1DcGnOz4mklAQFZCvi+fGIi2plvWTLe1SzuZ1TeylEkPugWXNeu3yuO0w2FXF0mJHOhgeav8+uCp4PrNAgcAFDgd+j4CzLxLn3PgH8kNf/nLX3DzzTfjwQcfxKWXXopoNIq6ujr9+7FYDMuWLUN1dTXeeecdHDt2DNdddx1cLhcefPDBLF455bJAGp2+fG9k/bm2kRq7EX0SsXu51fm0dfKSOw7cs0D+ZlNW5stg01AjWHyfKdhsNvhcDrSGonLOobd4iyI7k8PapQ3Y7Wr9bg/H0BmOobTAMfA/InME3dFoFN/4xjfw4x//GDfddJP+9cmTJ+t/X7NmDXbt2oVXXnkFVVVVmDFjBn7wgx/gzjvvxHe/+1243e5sXDrlOAYxibSsXEtZtnqnLRWu6TaePtOdY/XfCkRkblBqWj3vZHq5ND6PGnQzpV88LejujMQQiyt6lgGJ43U70R6O8dmZAVOkl2/evBlHjx6F3W7HzJkzMXz4cCxZsiRppnvDhg2YOnUqqqqq9K8tWrQIwWAQO3fuzMZlkwkkjmCybqcvkKWZPsoc03GNl62ZbuKgp0xeDthJp6c8M+gWTmtLAK4xlkXrP/PZmT5TzHQfPHgQAPDd734XP/3pTzF27Fj85Cc/wSWXXIK9e/eirKwMDQ0NSQE3AP3/Gxoa+nztUCiEUCik/38wGAQARCIRRCK5ucun0p3vHI1Gc/YazULbC6I91HdZxuPqzqPxWMzw8tZeL5v30etUx96CneGcqE/aTpgxAeUtkox76XGoZdPWZVz7pJW3iPptBlob0BaK9LqHIsojFlM7hLF43JLl3ZOWkdjaT/s7VFp5K3HF0uXdncmPtk6xfRutvOMC6ncuPC8zUeDqfrZ2dImr3937FimKudoTo++lXVFgtwFxBQi2d8Fj9xjyumeKxrTytnZ7AgBel9qABztDiEQKAJjns2m0dH/vrAbdd911F370ox/1+zO7d+/Wg55vf/vb+MxnPgMAePLJJzFy5Ej86U9/wle+8pVBX8NDDz2E733ve72+vmbNGvh8vkG/rkjBoAOADVs2b0HXIa5/HYrWCACoKTKrXliNVBlJjY12AHZs3boV9o+2CLmOtWvXCnnddHz0kQ2AAx/s/xCrVx/M2nVojh9Xy7uurg6rT+7I9uVkTOS9PNkJAE4EO0JYvXq1Ia955Iha3nv27sHq9g8MeU0z2dei1v8TjS29ylTEvTz4oVreBw8exOrV+w1/fTNp725/w9E4/veF1XAIyAjdd1S9v0ePHsXq1UeMfwOTONSglsPBI2LLoa77fRoaGgxro86UzedlJkJtal/trY2b0L5fTF9tyym1vBsbG4WVt0hG3kuX3YFQzIbVa15Fhdewl02yu1kt72AwaMryNlKovbt+b3gPrXvV+m2Wz6bROjo60vq5rAbdt99+O2644YZ+f6ampgbHjh0DkLyG2+PxoKamBvX19QCA6upqvPvuu0n/9vjx4/r3+nL33Xfjtttu0/8/GAxi1KhRWLhwIYqKijL6fWR5/NA7QHsbZp4/E5ee2/fvRgPrisRw76ZXAQCXLFiop1r39HTDe9gXPI0ZM2Zg6bThhr5/JBLB2rVrcdlll8Hlchn62uk69fd6vHDkA5RVDsfSpdOzcg09rWreCjSdwHnnnYelF4zK9uWkTca9PNUWwgNb1yMUt2Hx4iWwG7Bu7Y3n6rDx5MeYNHESls4bZ8BVmsuOoy34+a6NsLu9WLp0HgCx93L7S3uw7thhnF1Tg6WLzjH0tc0mFInhHq39nX8ZCguM/9wcfG0fUH8II0eehaVLpxr++mYR2vIx/nSoDkVlFVi6dJaw9zm9sR5/PvQBhg83/nmSC8/LTDx7ajMOtJ7CpCnTsPT8s4S8R2z7Mfxu3w6Ul5dj6dLZQt5DBBH38od163GiNYQLLvokJg8X038v3HcKj+/ejOLiIixdWivkPcziTyffx6HWRkw6bzouO6/CVJ9No2lZ0gPJatBdUVGBioqKAX9u1qxZ8Hg82LNnDz75yU8CUD+wH374IcaMGQMAqK2txQ9/+EOcOHEClZWVANQRl6KioqRg/UwejwceT+80FJfLlbMVx9a9w5TL6czZazQLp9MJh92GWFxBOG5LWZ42m5oi5hBY3tmsb4VedZPBjkg8J+qTVr+dDnPWb5H3ssSf2IYjAjsCrqE34fbu+m132E1Z3kNV5FPT4joisV6/v4h7abdbu7x7cjqdekpoRBFTHg6HmgJpt1u7vIt8ajvfKbidT5R36uepEXK5f9aTvzunPxSDsOvVyttmE1feIhl5L/0eJ9Aa6rMvZwSHU72nZi1vIwU86u8fiifqt1k+m0ZL93c2xUZqRUVFuOWWW3D//fdjzZo12LNnD1asWAEA+NznPgcAWLhwISZPnozly5dj27ZtePnll3Hvvfdi5cqVKYNqM8v3I6xkstls+q6ufW2mlu9HWPGcbvMocNn1JRC8X8bQN4Ph5nTS2Ww2+ARvNqU9L62+l7HocqbefNy8TiptjTHruBz6MW3si6TNFBupAcCPf/xjOJ1OLF++HJ2dnZgzZw5ee+01lJaWAlBH+1atWoUVK1agtrYWfr8f119/Pb7//e9n+cqNp4eAVu9FGCTgcSLYNfBZmvla3PoOwnxQ5Tx1kMgp7exXK9A6xuFYHOFoHG6nKcai84bP7UBbKCp8B1yrH0HInYbl4zFtciUGUFnHZdCOm2XfMX2mCbpdLhceeeQRPPLII33+zJgxYyy1sYEtb8NAuXwWP4aJZ+Wai9+jBd3G1FdtEM+q7Yk2Wg+onWPRQTczlZLpsyWiZrqFvKr5eF1ynnMs7wT9mDaL9i1kS2QWiCtvhQ24TjsSr5MDeWnjkL4Z8UNvKL/Fz+nNtbNyWbv759dHl3Pjfpmdy2HXA22ZZWrVQY4zeaWlPVu7vLV2Q1YHmfU7MdMto29h9UwOIDGAJ6OOs7wBr5sz3Zli0G1i/NAbY8A13XkeBfpzdN0Z63dqVh8kEkFm55iS+QV3lDkzpdLXdEdiiMdZJjL4PFxHL5OMmW5K0PqOTOdPH4NuE+Lj0ljpbjCTr0GgFsR1ReKIsTOW87TRfKYsGsfHNNCs8Uqqz/nafqdLazcUBeiKsp7LwME8ubimWy6fhxvXZYpBtwlxN1ZjWX1Nc881rewc5D59dJn3yjBM2c8efU13hGu6RdJ2dgY4uCSLrAElUnkF7w9ByUTvx5GPGHST5Vl9IzWP0w5H9zlUVi0DM9Hqa5tRG6lpg3gWHsXTs10k1H8GgclkbcZj4eoNQD032ydhN21m8yf4e6T0i8LyTvDL2EhN2CubD4/EyxyDbhPSzo22cifZSIEB1sjmeyPb86zyXGg82Ynon59nYxouGzPdbL9Vwmen2J7ofDLbedbvRPqthLaaG9f1nHllecuQGDDlZE26GHSbGD/0xvANsJGaJp/LW9+cK4dmuvO3tIeG56obL919Hch4slIUOcjRs55zwE4GtitycW8OuXxclpUxBt0mxJlAY/n5YEx74IGyj5vzGE/P9GD9l84rOBBUONWt4xpMudhWy6Ufixdhecugtycc5Egbg24T0roQHLk3hl9fI2vdhnqgFHvKHVbfg0AElmn2+AUHgomNR/nA9LOeS+VjVpJUnOmWixNWmWPQTZanHzPRV8BpgYkSnm9pHkbPynImsEfgJ2GGhJlKyWRs7kUqGWteeS56gq97x/hwNI5ILC7kPdh+J0hZ083i1ultdyTG42bTxKDbhPhMM5Y/zdHRfM4s8OfUsWms4P0RtWNoHlfvAcncvVxj5fLuySt4wI+ZYQky08tZ3Ik1rwD3LJBBav1meevPTUANvGlgDLrJ8nw5FXBmRyLtMHfKgA+11PRN7zgzaBie0509fn2mm2Uvmp8bqUnldtjh7D6Ok5kc4vHZKFeBy67301i/08Og25R4ZJiRuC6Fu6yaSW5lJeSHbMx0k0r0kWGJNd3k1ZemsJ7LYLPZ5B7TZnFeF5+NMqnHzbLvmAkG3SbEjWGMNdBGalZYM8Xdm82DAyTG40x39rA+y+PnhpnScUBPHq1+h6JxrjGWxMtBpYww6CbLG3AjtW75PMSROPuZDWeuS7e+po19E6mBnxUG8TIhevMjvbyZGiZlzStrdzKf0e31GbjHT4JWvwFxfRm238lEnz6Rbxh0mxA3hjGWFnBGYgrCUTE7jOY6PZDLgdF4diL6p6VzGX3EnZXbE18WMj2sXN498exoeWSmgtpYwQFw+ZpMHqcdDklr6Fm7VdqANdd0p4dBN1medqwHYN30ap+gQG4ouHwiNW2QqCvCFDqjMMU5e3p22oQcN8U13TpuGiof13TLk7SGnnVcisTSLD4708Gg24S4MYyxnA47PE71o5DqwWiFmdcAd/00jZ4pdFybaQzDU/YpbVogGI0rCAs6y5hUnHWVT19HnwNZZFbAOi6XjyciZIRBNxESQWeqXV2tkM7P0Xjz6JlCx46FMbSOGnd1lq9nppGIFEUrtN/pYjsvH8tcLmZzyJUYsOazMx0Muk1I0Y8MYy/CKL5+di9OpDzmb3nn4jndlJrRKXQWSOQYkFaenZGY8JR9K2TOZMLpsMPtULsiIjpuzAxLkLGTNut3MtEzryzvZCxvuXwcsM4Ig24TYifCeP5+OiNWmCnx9zPTLxufaQMzcmZWG1Sy8hp6rf4DauAtg5XL+0xewTuYk6q/wWWj5P8QdWZEz7wm+icscUD8EVaKFTqEGeDu5Zlh0E2E/s/qtsIghz+HOr2KFQp8iIw8V5p9CDVlvztjX/hnQB/ksHB5n0lkx42ZYQky1ruyficTP/OqDZoSID4I5KBSMp+Ha7ozwaDbhPSZQH7qDdPfWbFWGEn25eBMd/6W9tD5DXzQMV1O/Wz3l+1iJNbv3rycLZFC9JnoPbF+q+TNdAt5edPRg0BR5c1BpSTanhyyMsTMjkE3EXpupJaiobbASHKgO+AIx+JZP6tcn+jmU61PiTXdBqSXd/9p9fKWkXoLcJAjFZFnvTJxJkHGcYNsv5NpQUmHqKCE9TuJ3y32CCsOmibLpQkbM2DQbUYWCAJl0zeDSNFQW2Ek2esWu4NwJvhQG5jfwGM6mJ6oknVWt6L3kq1e4gnc4VkOGccN6un8Ql7dfITPvHL5RBLRR1hxUCkZ13RnhkG3CXGixHj6sQf9renO4zbW7UzsINyW5Y4v07cG5tP3IDBypnvIL2VqRu4Inw6LF3cSn9A13Sqr129A8nGDLG8APTa9FFzeLG6Vvt+JsJlXDir1xDXdmWHQbWIcaTOOv58gJjFyn9/l3d/AQzawevctYOS9YnoiADmbTAHWGMTLlMj0ckow+rjBVLh8IpnPI3YdPduTZLJmuknFme7MMOg2Ia5RM15/u3db4JhuAP2n2MuUqN95XuBDIOJeWX0QT/SGR5pEc2Lt8u5J6Ew3e8lJhO+m3f0n67dK9AaNidrN8gYkrulmcQPInX6jWTDoJgKPDAM4020mRh7xllgTOOSXMjXOdGePv7+NLMlQwnfTZv1OInq/ApZ3MvG7l6t/clBJpfcbGXSnhUG3CXGkzXj9dbitsrtzfwMPMinctWBARu4YapVBpYHI28yLawLPJKPs8739TpfIrAKAG6mdST/eUdhMN8u7J1mDpyxwleh0/nzDoNuEmC5nvP5G/62yu7O0h9UAWL0HZuhMN0fxAIjvHGs4M9WbyJlutifJEumgnHmVwd9jQElE343lncwneOaVgxzJONOdGQbdJsb0FuPonb5+OiL5/lDLlWN7eCTHwIzMSmAnQiWr/rN+9xaQcNYrS1ulD9gJHlxi/0SlZSXFFSAUjRv++hxTSqadi85BJTm0QbxITIGA6p13GHSbECemjNffZidWWcMTyJF1lQwCB2bkmdLsRKikzXSzm9yLyAEPlnYy0Uf88MjHZF5X4mx0Ic9WPROPBQ7ISOdXsbxVWtsNAGEG3QNi0E2ERIpMyo3ULLLRlE/4+ZbpYRA4ML+BmyGxE6HyCp4h0bB+9yZjwI/lrRK+uzPrdxKH3aa3LTyHXjzxG9dZoz+YLpfDDrdTDSWz3HU0BQbdZsShe8P1u5GaRTaa8ufIhhgMAgcmYqbb6rSBDNFnRbN+95ZYLsEjw0QTfo6x/jfWb43Ida8c5Eimz3SHY0I/+yzvBG2gg0H3wBh0E6HHLG9/m53keSMrsuObEXYiBpToxBnRcebIPSB+gykNO8m9yTgyjIMcKr/gjCbW795Eti0K08uTaAFgLK6IWUNvkeWGmdAmbEJMLx8Qg24TYjqR8bT0RkUBOiPJnRGrzJP4DNwReyi4pntg2kPOkI3ULJLJMRBZu7Cyfvdm7CBSMqu03+kSP9PN+n0mn8DN6/T6zQIHkKjfgKh0fg5Sn0mr3+EYC2UgDLpNiOlyxitwOvRG9MwZAKuMJPsl7CCcDs6UDEy7V12ROGLxobUHHMRT6bNRojcSZP3uxchBpL6wvFVc0y2f0I0COWiaxGG3ocClhjY8glAObXPGbCdJmgGDbhPL9yBQJrvdljhq4oyG2ipBiYwUz3RwTeDAeu4YOtQZK6sMKg1E1jn1XNPdW6DHIFI0ZmyOIjvJyfSZbkHtPOt3b36BO8Yn+icsb43Wlp+ZtWgEHvnYmzaQx/TygTHoNiGrBIGy9XlWt0VGkv25kl7O3UEH5HHa4bCrBTTUIJHpiSqfgTvC94f1uzet7AFxM7AsblVi/xJBg0us373oM90CNwpkcSeIbMsTg0qk0QbyONM9MAbdRN167nrZk1VGkhObvWQ5vbz7z/wu7aGx2Ww9OnJDnenufs2hXpTJ9ZzpFrmEhxOvvXmcDrgc2iCSsR1lDiolE31KBdvv3mScDJLn3ZOMiMxa4qBpb9qeHAy6B8ag24TYSRajr7O6rdLIyjgrNx1M30qPUR0LqwwqDUSbHYnGFYRjAoNu1u+UcmV5S74TuakXwPqdik/gjvHsD/bmNWhAOhUOKvWmTdiEmV4+IAbdJqRwrkSIxFq3Pma6JV+PbLLSawdilfIeqr4GiTLF9ESVtqcDIHZGivU7tcRmagYHJtyzIEmfy6gMwv5JbyJnuhO7abN+a4Tuz8FBpV70Nd3cvXxADLpNjJ95Y/n7GB21ym6sstJrB2SRzIKhMnpzHquXt9Nhh9upPhJFbqZmlcyZTPkFDfoxBEyWOBqSu5fLInLpFme6exO6WzyPxOtF2708yysTTYFBtwlxN1Yx+poBUCwyN+XvkV4bimYvT4gbBabHqM152ElO8AtOvQU4090X0enlrN+qnnuXiBhc5e7lvWnP1k4h50Z3Y3Hr9DouMp2f5a3j7uXpY9BtYnyoGauvlCSrNLLaaDwg/tik/iRG7vO8wIfIqJTFxMg9yzsxIyVwiQUHTVMKCEp75iB1Mm2wLiZocNUqz8tM6O2KwHOj2X4niJ3p1rC8NTynO30Mus2Mn3lDaaOjvTdSU//M9+J22G0ocKlNQjbXdeuZBfle4EPk02cGOdNtFH1GSsD5rhquwUxN2JrubixtVc/B1aHuB5EK0297M2r/jVQS7YnhL21aIrNm+LzsTZvp7mLQPSAG3SbEkXsxtAdjRx8NtRU6yaJmmzJhlUGOoQoYtAaW7UlCYkZK5Jpu9U8LNCcZEbWRIzf2Suaw2/R2PtgZEfY+rN8JRQUuAECwS2B5C3tl8yn2quXdIqB+c1CpN61+d0ZZKgNh0G1irN7G8vUx02Kl3Z1lBB0D4ZEz6TFqcx7OvCYUecV3jjmolFphdyDYanDZc5CjN5FBCcc4eiv2CQwCWb97KRIZdLN+91LSXb87eNrjgBh0mxBH7sXQZg7PXCNrpY29EjvbZjO9XGWB4h4Sv0H3ikFgQoneWRN5ZBh7yakU+9wAjO8o8xz63rSgu1nITKCK5Z2gl3eHyJlulrdG7Ey3itU7QSvvDqaXD4hBt4nxoWasvmYOrbRRSUDwDsLp4JFK6TFqTbeG5Z0YsRfZOeYgR2qlgsqe5d2bVs9FpJdbKTMsXVpQ0toVRSxu7KQJn5e9lYgc5NDrNwtco9XvzigQN7h+5xsG3SbE9BYx+tp8w0oblRgdyA0FH2r9M2ymu/tPlnfPmW6BQXf3n1ZoTzJRIigFNxGUsMA1QmcCmarUi1beAJdPyKCVt5BBpe4/Wd4JWjq/ApuQzQLzCYNuE+IzTQx/Hxv5WGmQw6hAjsTra7f9jLHTptNSnEWk3WqslDmTiRKvWvanO8KGvi6fl73pQbeAmUAO4vXmctj1Z6vhmRz631jeGhmDSnxeJhS4HPrJNy0C90PJBwy6TYwfemP1dUavlUY2Cwu6d7XtyoHdyy1Q3kNRWGDMaD53Y02QMdMNC2XOZKJYcHq5neWt08uaQYk0ogJBlndvWlm3h2OIxIw9i15henlKxXp/hBM2/WHQbUJWmnmVSVvP3NFr93L1Tys0sqV+dbapsc3Y2aZMMAhMT5l2r9qHdq/YaUsQleLcE9cYp1aqbaRm+Ewg08vPxCOV5BO1ozbLu7eiHun8ojZmZIEnK/Kq/WeRWWL5gEG3CVlpjbFM2s7dvdN1rVPe5X4PAKCxPZS1a+CawPSUB9QgpWmoQbf+Nxa4lI3Uuv+0QnuSCS3LoDUUNXR2ivv69Mb0W/nE7Vmg/snyTnDYbXrWHjdmlEPkOvp8wqDbjHiOsRBayl0oGkdXJDHbbaWHmjZ7OtRAbii4JjA92r3qCMfQOYSzurn7bUKxV8yxVT0xPTE1YbNT3eVtZ29Hp62fF7GmW8P6nUzUMW18XqaWGFgStEcEH5hJRB5DmE/4GDIhTgSKUehxwu1UPxInWxMzvVZ6qA3rnj09lc30cgaBaQl4nHA71Po6lMwEticJ+lFKXVHEBM2QMj0xNYfdhiJ9dsq49sdKy4PSpbfzAjKa2H6nNizQnUXWZnCZs7xT0srb6L4Mj8RLbVgOLE00AwbdJhRnIyuEzWZDRXdDfbLHg9FKnYhh3enlTdlML+/+0wLFPSQ2m03vPA/lQacwc0ZX6nPD0b3jVqugvgPTE/tWrrW/BhY+0/l7qyxUy/lEUEDQ3f0niztZVWEBAOC4wWXO8k6tSq/jXUJen+1JMr1Nac1e39EMGHSbEEfuxSnvbjhOpZzpzn/DeqwTVrK1Yx+DwLQZsRzASvV7IA67Te88tIgKurv/ZP3urbpYC0yM6yjHOTPVS2WRWs5toajh5+oqHOVIqapITBDIQdPUqrrruNFBIAdNU6ssYtCdDtME3Xv37sUVV1yB8vJyFBUV4ZOf/CTWrVuX9DP19fVYtmwZfD4fKisrcccddyAazb/t67VnGo9AMV5Fd9CZPNOt/mmFZ5oWxEViStaOfmCfLX3DUmRmZMxCmRzp0DprzWExBcL0xL5Vd5f9sRbjAhMGJb0FPE79tA7Dg0Dupp2SFpQcbxVT3pRMG+QwcgAP4GkIfakMMOhOh2mC7k9/+tOIRqN47bXX8P7772P69On49Kc/jYaGBgBALBbDsmXLEA6H8c477+C3v/0tnnrqKdx3331ZvnLjJdKd+aE3WoU+052Y5lIstJ12gcuhb4jRICgtayAMStJX3d2xONY8+HvFQY5kWuAnaqZbw/LurUrATDfrd2p6EGh0urOFBqkzUSkqvZzlnZKWzSGsvA19VfPjTHd6TBF0nzp1Cvv27cNdd92FadOmYcKECXj44YfR0dGBuro6AMCaNWuwa9cu/Pd//zdmzJiBJUuW4Ac/+AEee+wxhMP5tbCf53SLo68pbEt0+qzWaRtZ6gUAfHS6Iyvvb7XyHopRpT4AQ7tXXK6STEtxbhE2063+yfrdmzbg0WDgTDfYSU4pscbY6JlAFduTZFoGzam2kKFH4rG8U6sqElu/WdzJtGVZp9rCiPGcxj45s30B6Rg2bBgmTpyI3/3udzj//PPh8Xjwq1/9CpWVlZg1axYAYMOGDZg6dSqqqqr0f7do0SKsWLECO3fuxMyZM1O+digUQiiUGJkJBoMAgEgkgkgkN7e+1zpt8Vg0Z6/RrKoK1fTqI40detlq5R2LGl/e2uvl0n0cUVyAnR8H8eGpNkQiZdLfP97dYMeisZwql4Fk414OL1Lra31T+6DfN66oHcAY2xMAQEVAzfQ4HRZzLxPlHWd5n6HCr5b9x80dhpVNNK4ep6fEWd49VRernWS1nTeuXGLdAWU8bnz7nYvPy3QVuW3wOO0IReOoP9WK0WU+Q143Fuuu34q56rfoe1nhV8ObI6c7EA6HDcsMjUa18lZMVd6iFXvscNgUxOJA/alWffLGKtKtC6YIum02G1555RVceeWVKCwshN1uR2VlJV566SWUlpYCABoaGpICbgD6/2sp6Kk89NBD+N73vtfr62vWrIHPZ0yjaLS44gBgwxtvvIFid7avJr80tNgAOLDryEmsXr0aABCJquW9fv167BbUjqxdu1bMCw9CpNkOwI43N+9CeVOd9Pfv6FDLe8OGd3BM/tsPmcx7eSQIAE7s+7hJr6+ZamlRy3vTe5vQvp8j1E1NahtwotMm5F6eOqV+vrZt3QrX0S2Gv76ZfdwBAE7sbWjBCy+sNiQb4HiDWt579nyA1S27h/6CeSLSqNbzt7btxbiODwx73fp6tbz37duL1Z17DHvdnnLpeZmJMrcDx6I2/OHF9ZhSakxbe+CwWt6HDh3C6tUHDHlNmUTdy2gcsMOB9lAMzzz/omF95Q+Oqp+box99hNWr64150TxRUeBAQyfwhxdfx7kl1upLdHSkl22Y1aD7rrvuwo9+9KN+f2b37t2YOHEiVq5cicrKSrz55pvwer144okncPnll+O9997D8OHDB30Nd999N2677Tb9/4PBIEaNGoWFCxeiqKho0K8r0jc2rAEAfOpT8zCiNJDlq8kvx1q68PNdb+B02I6Fiy6D02HHPe+/ilAshn+45BKMGWbsQEwkEsHatWtx2WWXweVyGfrag9X493q8/sIHcJVUY+nSGdLf/8e73wBCXbjoooswY1SJ9PcfrGzcy+PBLvxs5xtoidgxf+Fl8DgzXzH0+KENQHsrLrzwAlw8oVzAVZrLpJPt+M89b+N4JzB/wQJ43MaObD5zfBPQ0oSZM2dg6bTBP7vyUSgaxyM7XkVXDJh18aV6uvlQvNC8BWg6iXMnnYulF40d+kXmCeeu41hVvw0hTwmWLv2EYa/79l93YsOJo5h4zkQsvaTGsNcFcvN5mYmXgttwbOdxDBt7LpbOHWvIa+54eS/w8Yc4u2Ycli6eaMhryiDjXv6/fW/hcFMHxk37BD5RY0zWXv36g1hVvx+jRo3E0qXnGfKa+SASieA/97yKhk4bho2bjKW1Y7J9SVJpWdIDyWrQffvtt+OGG27o92dqamrw2muvYdWqVTh9+rQeCP/iF7/A2rVr8dvf/hZ33XUXqqur8e677yb92+PHjwMAqqur+3x9j8cDj8fT6+sulyvnG3WPCa7RbEaWOeF22hGOxnGyPYbRwzz6Gh6XyymsvHOpvk0cXgwA2HuiLSvXpHQvlsqlMsmEzOs+q8yJEp8LzR0RfNjUhfPOKs78RbqnE51OcfXbTM6uKoLLYUM4BpzqiGGs3+gyYXn3xeUCxgzz4eDJdnzY1IVRwwqH/qLd9dvhdLC8e9Da+YMn2+FwOGE36DgUm00d+HMKLG+zPhsmVBXixZ3Hcaix07Drt9vV8nY4zFm/Rd7L8ZUBHG7qwIdNnbh4okHl7XAAABx2uynLW6TK7kxQI+u3WaT7+2Z1I7WKigpMmjSp3//cbrc+ba81Lhq73Y54XF0/VFtbix07duDEiRP699euXYuioiJMnjxZ3i8lWNLZydyJx3B2uw015X4AwO4GdeTKahtNTRmhDmwdbuxAS2f21ixZo7SHxmaz4bwRaue57mjLoF5D4ZFhSZwOO87ubgN2HE1v9DoTPOKnfxOr1EC7zqCy19pvHrGZbMwwPwpcdrSHYzhwss2w12X97tuk4eqzddtHg2urU+FpH307t7u8tx4RUd4s8TOd5VPLZtuR5uxeSA4zxe7ltbW1KC0txfXXX49t27Zh7969uOOOO3Do0CEsW7YMALBw4UJMnjwZy5cvx7Zt2/Dyyy/j3nvvxcqVK1POZJtVUsydvcvIa1pK89buhiNxLmOWLkiyEp9b3wRj5yADuaFgEJiZKWdpHbnmIb0OOxEJs8eqe4W8++Fpw1+bR870b/ZYNQ1046FGQ16PneTUXA67/qx7z8B6zt35+6a1Kx80BA0b0LbQiaYZ08r7vQ+bDH9t1u/eagrVyrj7WBCtXdxkLhVTBN3l5eV46aWX0NbWhksvvRSzZ8/GW2+9heeffx7Tp08HoKbWrFq1Cg6HA7W1tbj22mtx3XXX4fvf/36Wr95Y8R5Rt52feiFmji4BALx/WO2IWPGItllj1IfVG/tOSX9vHoGSmU/UDAMAvL7nZHImTJrYSe7twu7O2jsHGgdVpv3hkXj909ZevneoCV2R2JBfj+XdtwvHqW3Hm/tOZvlKrKGysADjyv1QFOCd/fKfrVYza0wp7DagvqkDH55qN+Q1+bzsW4kHGFXqRVwB3t5vzKBpvjFF0A0As2fPxssvv4zGxkYEg0Fs2LABS5YsSfqZMWPGYPXq1ejo6MDJkyfxyCOPwOk0xQbtaevZ/eOHXgwtiHn/8Gk0tYcT6YkWyk+8dFIlAGDtrgbDg46B8KGWmdqaYfC6HDjW0oXN9c0Z/3s9k8Pg6zKzuWcPg9Om4MDJduz82OAUc4stV8nUudVFGF5cgPZwDGt3HR/y6zGzoG+LpqgnvLz6wQm0dBg089r9J+t3agsnq2X+3Jajhrwey7tvhQUuzB2vbg76163GljeltnCy2nd83qDyzjemCbpJxfRy8cYM82PKiCLE4gqe33pUzy5wWCgK/IdJlfC6HDhwsl36iCXXBGamwOXAkqnqZpFPvHkw43+fGOSwTv0eSJHXhWllasH84vX9hr621ZarZMput+Gzs0YCAH71xgHE40NrD+L6chUW+JkmDy/CpOpChKNx/Ofbhwx5Ta28LTRGnZF/Pl+t26/sPo69x1uH/Hos7/59pru8/2vDYUNSntme9O/KGSMAAGt2Hcf+E0Ov3/mGQbfJ9Ewv54denC9cMAoA8Kv1BxGNW++hVlTgwlXdZfCDVbsMSfNMV2LjIwsV+BB9eV4NbDbgxboGvLjjWEb/lp221C47Kw67DVi9owHPbv7IsNeN6e0JC7wv1180FgGPE3VHg3j0taENejC9vG82mw3fmD8BAPD46wewyYC1r1r77WCDktLE6kIsmlKFuALc9setaAtFh/R6LO/+LZs2HDXlfjS2h3HPc3V6+ztY2j+30iRMJiZVF+KyyVWIxRXc9sdtaB9i/c43DLpNjJ95cT5/wSiMLPWiIdilf81K6eUA8PVLx2OY3409x1tx45Pv4VhLp5T31YNAtk5pm1RdhJvmjgMA/MszW/DrNw6iM5zeQInWibBa/R7ICD/w5YvVMr39T9vwg1W7cKJHezBYcXaSB1Qe8ODeZecCAP79lb24/Y/bcKSpY3AvxvTyfi0+rxoLJ1chHIvjmic24vH1B4a0yZcW1HBSoG/f+fRklPpcqDsaxD899jZe33Ni0MEgZ17753LY8dA/T4XTbsP/bvsYy/9zI7YdaR70sjmFg9QDuv9ytX5v/6gF//SLodXvfJNfC54tgOnlcnicDjx69Uxc9au/IxxTj6Wz2szUsIAHv7x2Fm548l1sONiIef+2DpdOqkRtzTCcU12I0WU+VBUVwOUwNjrmSPLg3LlkEhqCXVi1/Rh+uHo3/t9r+3DR2cMwbWQJxgzzYVSpD2V+N0r9bvjdDr2Txpnuvv3r/PFoC8fw33+vx3++dQi/efsQzhtRjCkjilBT4UdVUQEqCj2oCHhQ7HWhyOtCgcvR72uy05aeL1w4Go3tYTyyZg/+svkj/GXzR5hUXYipZxVjfGUAVUUFqCzyoLLQg2KvG8VeF9zO3m0R0/n7Z7PZ8O9XzcDX/mcz1u05iYdf/AA/WbMH00aWYMqIIr2dry4uQKlPrePFXhc8ztT1PLEcS+ZvYS4jS3146sYLcdNvN2HfiTbc8OR7KA+4MWNUCSZWF2J4sRfDiwtQWViAYq8LxT4XCj2pz1Jn+z2wOTXD8LMvzMRtf9yKdw404orH3sbIUi+mjyrBhMoAhhcXoKqoAOUBD0p8av0OeJwpBzISkwIs8L6MLPXhyRsvxJd+uwl7j6v1e5jfjZmj+6jfXhcKC1LX73zDoNtkeq53tVoQKNvM0aX4n5vn4F+e3gKv24GiAut9XC4cV4a/rpyLe/9ah3cPNeHlncfx8s7kzY0KPU6U+F0o87lR4nOjsMCJwgIXigqcCHicKCxwIlCgNqqFHvV7gQJn9885e3XeOFMyOC6HHY9ePROfHF+On6/bj49Od6a8XwDgdthR6nehsMCFw43qDCLbk97sdhseuHIq5k+qws/X7cf7h09jx9EW7OjnKD2P0653JLRAvNirfh78Hqd+Rq8VOhhDtfIfxuMTNWX4v6/sw9v7T+GDhlZ80ND3OkGvy4EirzOp/HcfU3/ewdSZPvk9Tjxx/QV4bstR/McbB7D3eBveP3xaP8EjFa/LgWKvCyU9AvGAx4lV29XlLazf/Zs+qgQv33oxHlt3AH/Z/BFOtYXxyu4TeGX3iZQ/b7epG4NpQaEWqKze0dD9fZZ3f5ZNG47JI4rws1f24sW6Bnx0uhMfne47e89htyW14SVetd/ygla/Wd79mjGqBC/dejEeW7cfz24+isb2/uu3zaYua9TaFK3ciwpcKPI6MXNUCRafN1zyb2E860URJtczQ4OfefFmjy3D23ddilhcgdPgGV2zOKeqEH/8Si12ftyCdR+cwPuHT+NwYweOnO5AJKagNRRFayiKI02DSz93O+zdgbkahGupjeyzZc5ms+ELF47G52aPwtYjzdh4qBH7j7fhcFMHPm7uRFN7GKFoHOFYHMeDIRwPhrr/HVBR6Mny1eeuf5hUiX+YVImGli68f/g0dh8L4qPTHTjRGsLxYBca28MIdkYQV4BQNI4TrSGcaA31+5oFfcwUUrJZY8rwXzfNQWNbCO8easIHDa34sLEdJ4IhHG/twsnWEFq71HWDnZEYOiMxvV73VOJld6c/ju4N7D47ayQOnWrHtiPN2N0QxLHmLjS0dOF4axeaOyIIdkWgKImybuhjyYXfzfIeyLCAB/ddPhl3L52ErUeaUXe0BQdOtqGhJYSGYCdOtYbR0hlBZySGuAK0dEb6TP234qRApsaV+/F/vzATPwxFsbn+NHZ+HMThxnYca1HreFN7GM2dEYSjccTiCpraw2hqD6d8rUKW94DKAx7cf/kU3L3kXGw90oydH/ddv5Ue9bs+xdYSn589kkE3yddzHQpjEjlsNhuczJXDlBHFmDKiWP//WFxBS2cEpzvCON0exukO9e+tXVG0dkXQ1hVFa1cUbaEogl0RtIWiSd9r715zHI7F0dgeRmOPh5vbYUeZ3y39d8wXDrsNs8aU6uet99QRjqKpPYzT7RH1XoSiGFHixchSXxau1FyqiwuwbNpwLJvW++EfjytoC0fR0qF2HILdHQjtP+2z0B6KYljAgwvG9r431LdhAQ+WTB2OJVN7l30srqCtK6qXdbArUe5NbV04vP8DzD17WBau2pzGlfsxrtyPK3FWr+/F4+pAq1bPWzojaO4MI9ip1u3WUBQ+twNLU9wnSs3lsOOCsWW4YGxZyu+HojG1rLvLvLn7z7aQ2qa4HXZ8pnvHfxqY3+PExRMqcPGEipTf74rE9DJu7gh31/EI2rvbb5vNhqsvHC35qs3L7bTjwnFluHBc//Vbe2Y293iGBruiCHZGMH1UidyLFoRBt8kkbUXAqW7KIofdhjK/Ww2OUz+7+hWLK92BeCIgb+sOTMZXBlDiY9Atgs/thM/txEjGfIay221qKlyBC6OyfTEW47DbUOxT176eKRKJYHXrbstmKhnN3iPtluTwOB2oLHSgsrAg25diCQUuB6qLHaguZnnLYKX6zaDbZHqeWcrJVzIzBztvRERERGQBHPo1mUisR9DNRa9EREREREQ5jUG3yRQWOPHIZ87DNWfHuLszERERERFRjmPQbTIFLgeumDECF1byoHkiIiIiIqJcx6CbiIiIiIiISBAG3URERERERESCMOgmIiIiIiIiEoRBNxEREREREZEgDLqJiIiIiIiIBGHQTURERERERCQIg24iIiIiIiIiQRh0ExEREREREQnCoJuIiIiIiIhIEAbdRERERERERIIw6CYiIiIiIiIShEE3ERERERERkSAMuomIiIiIiIgEYdBNREREREREJAiDbiIiIiIiIiJBGHQTERERERERCeLM9gXkGkVRAADBYDDLV9K3SCSCjo4OBINBuFyubF8ODQHvZf7gvcwfvJf5g/cyf/Be5g/ey/xi9fupxYxaDNkXBt1naG1tBQCMGjUqy1dCREREREREua61tRXFxcV9ft+mDBSWW0w8HsfHH3+MwsJC2Gy2bF9OSsFgEKNGjcKRI0dQVFSU7cuhIeC9zB+8l/mD9zJ/8F7mD97L/MF7mV+sfj8VRUFraytGjBgBu73vlduc6T6D3W7HyJEjs30ZaSkqKrJk5c5HvJf5g/cyf/Be5g/ey/zBe5k/eC/zi5XvZ38z3BpupEZEREREREQkCINuIiIiIiIiIkEYdJuQx+PB/fffD4/Hk+1LoSHivcwfvJf5g/cyf/Be5g/ey/zBe5lfeD/Tw43UiIiIiIiIiAThTDcRERERERGRIAy6iYiIiIiIiARh0E1EREREREQkCINuk3nssccwduxYFBQUYM6cOXj33XezfUl0hu9+97uw2WxJ/02aNEn/fldXF1auXIlhw4YhEAjgM5/5DI4fP570GvX19Vi2bBl8Ph8qKytxxx13IBqNyv5VLOeNN97A5ZdfjhEjRsBms+Gvf/1r0vcVRcF9992H4cOHw+v1YsGCBdi3b1/SzzQ1NeGaa65BUVERSkpKcNNNN6GtrS3pZ7Zv346LL74YBQUFGDVqFP7t3/5N9K9mOQPdyxtuuKHX53Tx4sVJP8N7mRseeughXHDBBSgsLERlZSWuvPJK7NmzJ+lnjGpXX3/9dZx//vnweDwYP348nnrqKdG/nqWkcy8vueSSXp/NW265JelneC+z75e//CWmTZumn81cW1uLF198Uf8+P5PmMdC95GfSIAqZxjPPPKO43W7lN7/5jbJz507l5ptvVkpKSpTjx49n+9Koh/vvv1+ZMmWKcuzYMf2/kydP6t+/5ZZblFGjRimvvvqqsmnTJuUTn/iEctFFF+nfj0ajynnnnacsWLBA2bJli7J69WqlvLxcufvuu7Px61jK6tWrlW9/+9vKs88+qwBQnnvuuaTvP/zww0pxcbHy17/+Vdm2bZvyj//4j8q4ceOUzs5O/WcWL16sTJ8+Xfn73/+uvPnmm8r48eOVq6++Wv9+S0uLUlVVpVxzzTVKXV2d8vTTTyter1f51a9+JevXtISB7uX111+vLF68OOlz2tTUlPQzvJe5YdGiRcqTTz6p1NXVKVu3blWWLl2qjB49Wmlra9N/xoh29eDBg4rP51Nuu+02ZdeuXcqjjz6qOBwO5aWXXpL6++azdO7lpz71KeXmm29O+my2tLTo3+e9zA1/+9vflBdeeEHZu3evsmfPHuWee+5RXC6XUldXpygKP5NmMtC95GfSGAy6TeTCCy9UVq5cqf9/LBZTRowYoTz00ENZvCo60/33369Mnz495feam5sVl8ul/OlPf9K/tnv3bgWAsmHDBkVR1GDBbrcrDQ0N+s/88pe/VIqKipRQKCT02inhzEAtHo8r1dXVyo9//GP9a83NzYrH41GefvppRVEUZdeuXQoA5b333tN/5sUXX1RsNpty9OhRRVEU5Re/+IVSWlqadC/vvPNOZeLEiYJ/I+vqK+i+4oor+vw3vJe568SJEwoAZf369YqiGNeufutb31KmTJmS9F5XXXWVsmjRItG/kmWdeS8VRe3gf+Mb3+jz3/Be5q7S0lLliSee4GcyD2j3UlH4mTQK08tNIhwO4/3338eCBQv0r9ntdixYsAAbNmzI4pVRKvv27cOIESNQU1ODa665BvX19QCA999/H5FIJOk+Tpo0CaNHj9bv44YNGzB16lRUVVXpP7No0SIEg0Hs3LlT7i9CukOHDqGhoSHp3hUXF2POnDlJ966kpASzZ8/Wf2bBggWw2+3YuHGj/jPz5s2D2+3Wf2bRokXYs2cPTp8+Lem3IUBNdausrMTEiROxYsUKNDY26t/jvcxdLS0tAICysjIAxrWrGzZsSHoN7Wf4jBXnzHup+f3vf4/y8nKcd955uPvuu9HR0aF/j/cy98RiMTzzzDNob29HbW0tP5Mmdua91PAzOXTObF8ApefUqVOIxWJJFRoAqqqq8MEHH2TpqiiVOXPm4KmnnsLEiRNx7NgxfO9738PFF1+Muro6NDQ0wO12o6SkJOnfVFVVoaGhAQDQ0NCQ8j5r36Ps0Mo+1b3pee8qKyuTvu90OlFWVpb0M+PGjev1Gtr3SktLhVw/JVu8eDH++Z//GePGjcOBAwdwzz33YMmSJdiwYQMcDgfvZY6Kx+O49dZbMXfuXJx33nkAYFi72tfPBINBdHZ2wuv1iviVLCvVvQSA//N//g/GjBmDESNGYPv27bjzzjuxZ88ePPvsswB4L3PJjh07UFtbi66uLgQCATz33HOYPHkytm7dys+kyfR1LwF+Jo3CoJvIYEuWLNH/Pm3aNMyZMwdjxozBH//4R0s0KkRm8IUvfEH/+9SpUzFt2jScffbZeP311zF//vwsXhn1Z+XKlairq8Nbb72V7UuhIerrXn75y1/W/z516lQMHz4c8+fPx4EDB3D22WfLvkzqx8SJE7F161a0tLTgz3/+M66//nqsX78+25dFg9DXvZw8eTI/kwZherlJlJeXw+Fw9Nr58fjx46iurs7SVVE6SkpKcM4552D//v2orq5GOBxGc3Nz0s/0vI/V1dUp77P2PcoOrez7+wxWV1fjxIkTSd+PRqNoamri/c1xNTU1KC8vx/79+wHwXuair33ta1i1ahXWrVuHkSNH6l83ql3t62eKioo4YGqwvu5lKnPmzAGApM8m72VucLvdGD9+PGbNmoWHHnoI06dPx89+9jN+Jk2or3uZCj+Tg8Og2yTcbjdmzZqFV199Vf9aPB7Hq6++mrTmgnJPW1sbDhw4gOHDh2PWrFlwuVxJ93HPnj2or6/X72NtbS127NiR1OFfu3YtioqK9FQfkm/cuHGorq5OunfBYBAbN25MunfNzc14//339Z957bXXEI/H9YdUbW0t3njjDUQiEf1n1q5di4kTJzIdOYs++ugjNDY2Yvjw4QB4L3OJoij42te+hueeew6vvfZar5R+o9rV2trapNfQfobPWOMMdC9T2bp1KwAkfTZ5L3NTPB5HKBTiZzIPaPcyFX4mBynbO7lR+p555hnF4/EoTz31lLJr1y7ly1/+slJSUpK0WyBl3+233668/vrryqFDh5S3335bWbBggVJeXq6cOHFCURT1GI3Ro0crr732mrJp0yaltrZWqa2t1f+9dvTCwoULla1btyovvfSSUlFRwSPDJGhtbVW2bNmibNmyRQGg/PSnP1W2bNmiHD58WFEU9ciwkpIS5fnnn1e2b9+uXHHFFSmPDJs5c6ayceNG5a233lImTJiQdMxUc3OzUlVVpSxfvlypq6tTnnnmGcXn8/GYKYP1dy9bW1uVb37zm8qGDRuUQ4cOKa+88opy/vnnKxMmTFC6urr01+C9zA0rVqxQiouLlddffz3pyJqOjg79Z4xoV7Ujbe644w5l9+7dymOPPWa5I21EG+he7t+/X/n+97+vbNq0STl06JDy/PPPKzU1Ncq8efP01+C9zA133XWXsn79euXQoUPK9u3blbvuukux2WzKmjVrFEXhZ9JM+ruX/Ewah0G3yTz66KPK6NGjFbfbrVx44YXK3//+92xfEp3hqquuUoYPH6643W7lrLPOUq666ipl//79+vc7OzuVr371q0ppaani8/mUf/qnf1KOHTuW9BoffvihsmTJEsXr9Srl5eXK7bffrkQiEdm/iuWsW7dOAdDrv+uvv15RFPXYsO985ztKVVWV4vF4lPnz5yt79uxJeo3Gxkbl6quvVgKBgFJUVKTceOONSmtra9LPbNu2TfnkJz+peDwe5ayzzlIefvhhWb+iZfR3Lzs6OpSFCxcqFRUVisvlUsaMGaPcfPPNvQYweS9zQ6r7CEB58skn9Z8xql1dt26dMmPGDMXtdis1NTVJ70FDN9C9rK+vV+bNm6eUlZUpHo9HGT9+vHLHHXcknQmsKLyXueCLX/yiMmbMGMXtdisVFRXK/Pnz9YBbUfiZNJP+7iU/k8axKYqiyJtXJyIiIiIiIrIOrukmIiIiIiIiEoRBNxEREREREZEgDLqJiIiIiIiIBGHQTURERERERCQIg24iIiIiIiIiQRh0ExEREREREQnCoJuIiIiIiIhIEAbdRERERERERIIw6CYiIiIiIiIShEE3ERGRid1www248sors/b+y5cvx4MPPijs9Xft2oWRI0eivb1d2HsQERGJZFMURcn2RRAREVFvNput3+/ff//9+Nd//VcoioKSkhI5F9XDtm3bcOmll+Lw4cMIBALC3uezn/0spk+fju985zvC3oOIiEgUBt1EREQ5qqGhQf/7H/7wB9x3333Ys2eP/rVAICA02B3Il770JTidTjz++ONC3+eFF17AzTffjPr6ejidTqHvRUREZDSmlxMREeWo6upq/b/i4mLYbLakrwUCgV7p5Zdccgm+/vWv49Zbb0VpaSmqqqrw61//Gu3t7bjxxhtRWFiI8ePH48UXX0x6r7q6OixZsgSBQABVVVVYvnw5Tp061ee1xWIx/PnPf8bll1+e9PWxY8figQcewHXXXYdAIIAxY8bgb3/7G06ePIkrrrgCgUAA06ZNw6ZNm/R/c/jwYVx++eUoLS2F3+/HlClTsHr1av37l112GZqamrB+/fohligREZF8DLqJiIjyzG9/+1uUl5fj3Xffxde//nWsWLECn/vc53DRRRdh8+bNWLhwIZYvX46Ojg4AQHNzMy699FLMnDkTmzZtwksvvYTjx4/j85//fJ/vsX37drS0tGD27Nm9vvfv//7vmDt3LrZs2YJly5Zh+fLluO6663Dttddi8+bNOPvss3HddddBS7ZbuXIlQqEQ3njjDezYsQM/+tGPkmbw3W43ZsyYgTfffNPgkiIiIhKPQTcREVGemT59Ou69915MmDABd999NwoKClBeXo6bb74ZEyZMwH333YfGxkZs374dAPDzn/8cM2fOxIMPPohJkyZh5syZ+M1vfoN169Zh7969Kd/j8OHDcDgcqKys7PW9pUuX4itf+Yr+XsFgEBdccAE+97nP4ZxzzsGdd96J3bt34/jx4wCA+vp6zJ07F1OnTkVNTQ0+/elPY968eUmvOWLECBw+fNjgkiIiIhKPQTcREVGemTZtmv53h8OBYcOGYerUqfrXqqqqAAAnTpwAoG6Itm7dOn2NeCAQwKRJkwAABw4cSPkenZ2d8Hg8KTd76/n+2nv19/7/8i//ggceeABz587F/fffrw8G9OT1evWZeSIiIjNh0E1ERJRnXC5X0v/bbLakr2mBcjweBwC0tbXh8ssvx9atW5P+27dvX68ZZ015eTk6OjoQDof7fX/tvfp7/y996Us4ePAgli9fjh07dmD27Nl49NFHk16zqakJFRUV6RUAERFRDmHQTUREZHHnn38+du7cibFjx2L8+PFJ//n9/pT/ZsaMGQDUc7SNMGrUKNxyyy149tlncfvtt+PXv/510vfr6uowc+ZMQ96LiIhIJgbdREREFrdy5Uo0NTXh6quvxnvvvYcDBw7g5Zdfxo033ohYLJby31RUVOD888/HW2+9NeT3v/XWW/Hyyy/j0KFD2Lx5M9atW4dzzz1X//6HH36Io0ePYsGCBUN+LyIiItkYdBMREVnciBEj8PbbbyMWi2HhwoWYOnUqbr31VpSUlMBu77ur8KUvfQm///3vh/z+sVgMK1euxLnnnovFixfjnHPOwS9+8Qv9+08//TQWLlyIMWPGDPm9iIiIZLMp2nkdRERERBno7OzExIkT8Yc//AG1tbVC3iMcDmPChAn4n//5H8ydO1fIexAREYnEmW4iIiIaFK/Xi9/97nc4deqUsPeor6/HPffcw4CbiIhMizPdRERERERERIJwppuIiIiIiIhIEAbdRERERERERIIw6CYiIiIiIiIShEE3ERERERERkSAMuomIiIiIiIgEYdBNREREREREJAiDbiIiIiIiIiJBGHQTERERERERCcKgm4iIiIiIiEiQ/w9bizyHA+aDKAAAAABJRU5ErkJggg=="", ""text/plain"": [ ""
"" ] }, ""metadata"": {}, ""output_type"": ""display_data"" } ], ""source"": [ ""# plot the action potential to visualize prepacing beats stimuli\n"", ""time = np.arange(len(action_pot_tracker.output)) * model.dt\n"", ""\n"", ""fig, ax = plt.subplots(1, 1, figsize=(10, 5)) \n"", ""plt.plot(time, action_pot_tracker.output, label=\""Action potential\"")\n"", ""plt.legend(title='Prepacing beats')\n"", ""ax.set_xlabel('Time (ms)')\n"", ""ax.set_ylabel('Membrane potential (mV)')\n"", ""plt.grid()\n"", ""plt.tight_layout()\n"", ""plt.show()"" ] }, { ""cell_type"": ""markdown"", ""id"": ""396b913c-279b-43a2-a02a-e214efd5c0a8"", ""metadata"": {}, ""source"": [ ""## Step 2: S2 stimulus\n"", ""\n"", ""Restitution is assessed by applying a single S2 stimulus at progressively\n"", ""shorter coupling intervals (i.e., varying delays after the last S1),\n"", ""and measuring:\n"", "" - APD90: Action potential duration at 90% repolarization\n"", "" - DI: Diastolic interval (delay between end of S1 AP and start of S2)\n"", ""\n"", ""Only the S2 response is simulated in each run, making the protocol fast\n"", ""and scalable."" ] }, { ""cell_type"": ""code"", ""execution_count"": 6, ""id"": ""df61139b-4f33-4fed-97b1-8a59377e31dc"", ""metadata"": {}, ""outputs"": [ { ""name"": ""stdout"", ""output_type"": ""stream"", ""text"": [ ""Running S2 at +400 ms...\n"" ] }, { ""name"": ""stderr"", ""output_type"": ""stream"", ""text"": [ ""Running LuoRudy912D: 100%|█████████████| 80000/80000 [00:07<00:00, 11099.97it/s]\n"" ] }, { ""name"": ""stdout"", ""output_type"": ""stream"", ""text"": [ ""Running S2 at +375 ms...\n"" ] }, { ""name"": ""stderr"", ""output_type"": ""stream"", ""text"": [ ""Running LuoRudy912D: 100%|█████████████| 80000/80000 [00:06<00:00, 11452.43it/s]\n"" ] }, { ""name"": ""stdout"", ""output_type"": ""stream"", ""text"": [ ""Running S2 at +350 ms...\n"" ] }, { ""name"": ""stderr"", ""output_type"": ""stream"", ""text"": [ ""Running LuoRudy912D: 100%|█████████████| 80000/80000 [00:07<00:00, 10303.80it/s]\n"" ] }, { ""name"": ""stdout"", ""output_type"": ""stream"", ""text"": [ ""Running S2 at +325 ms...\n"" ] }, { ""name"": ""stderr"", ""output_type"": ""stream"", ""text"": [ ""Running LuoRudy912D: 100%|█████████████| 80000/80000 [00:07<00:00, 10199.24it/s]\n"" ] }, { ""name"": ""stdout"", ""output_type"": ""stream"", ""text"": [ ""Running S2 at +300 ms...\n"" ] }, { ""name"": ""stderr"", ""output_type"": ""stream"", ""text"": [ ""Running LuoRudy912D: 100%|█████████████| 80000/80000 [00:07<00:00, 10483.13it/s]\n"" ] }, { ""name"": ""stdout"", ""output_type"": ""stream"", ""text"": [ ""Running S2 at +275 ms...\n"" ] }, { ""name"": ""stderr"", ""output_type"": ""stream"", ""text"": [ ""Running LuoRudy912D: 100%|██████████████| 80000/80000 [00:08<00:00, 9968.72it/s]\n"" ] }, { ""name"": ""stdout"", ""output_type"": ""stream"", ""text"": [ ""Running S2 at +250 ms...\n"" ] }, { ""name"": ""stderr"", ""output_type"": ""stream"", ""text"": [ ""Running LuoRudy912D: 100%|█████████████| 80000/80000 [00:07<00:00, 10221.69it/s]\n"" ] }, { ""name"": ""stdout"", ""output_type"": ""stream"", ""text"": [ ""Running S2 at +225 ms...\n"" ] }, { ""name"": ""stderr"", ""output_type"": ""stream"", ""text"": [ ""Running LuoRudy912D: 100%|█████████████| 80000/80000 [00:07<00:00, 11230.84it/s]\n"" ] }, { ""name"": ""stdout"", ""output_type"": ""stream"", ""text"": [ ""Running S2 at +200 ms...\n"" ] }, { ""name"": ""stderr"", ""output_type"": ""stream"", ""text"": [ ""Running LuoRudy912D: 100%|█████████████| 80000/80000 [00:07<00:00, 10743.75it/s]\n"" ] }, { ""name"": ""stdout"", ""output_type"": ""stream"", ""text"": [ ""Running S2 at +175 ms...\n"" ] }, { ""name"": ""stderr"", ""output_type"": ""stream"", ""text"": [ ""Running LuoRudy912D: 100%|█████████████| 80000/80000 [00:07<00:00, 10595.38it/s]\n"" ] }, { ""name"": ""stdout"", ""output_type"": ""stream"", ""text"": [ ""Running S2 at +150 ms...\n"" ] }, { ""name"": ""stderr"", ""output_type"": ""stream"", ""text"": [ ""Running LuoRudy912D: 100%|█████████████| 80000/80000 [00:07<00:00, 10554.29it/s]\n"" ] }, { ""name"": ""stdout"", ""output_type"": ""stream"", ""text"": [ ""Running S2 at +125 ms...\n"" ] }, { ""name"": ""stderr"", ""output_type"": ""stream"", ""text"": [ ""Running LuoRudy912D: 100%|█████████████| 80000/80000 [00:06<00:00, 11687.73it/s]\n"" ] }, { ""name"": ""stdout"", ""output_type"": ""stream"", ""text"": [ ""Running S2 at +100 ms...\n"" ] }, { ""name"": ""stderr"", ""output_type"": ""stream"", ""text"": [ ""Running LuoRudy912D: 100%|█████████████| 80000/80000 [00:06<00:00, 11733.73it/s]\n"" ] }, { ""name"": ""stdout"", ""output_type"": ""stream"", ""text"": [ ""Running S2 at +75 ms...\n"" ] }, { ""name"": ""stderr"", ""output_type"": ""stream"", ""text"": [ ""Running LuoRudy912D: 100%|█████████████| 80000/80000 [00:06<00:00, 11506.06it/s]\n"" ] }, { ""name"": ""stdout"", ""output_type"": ""stream"", ""text"": [ ""Running S2 at +50 ms...\n"" ] }, { ""name"": ""stderr"", ""output_type"": ""stream"", ""text"": [ ""Running LuoRudy912D: 100%|█████████████| 80000/80000 [00:06<00:00, 11694.09it/s]\n"" ] }, { ""name"": ""stdout"", ""output_type"": ""stream"", ""text"": [ ""Running S2 at +25 ms...\n"" ] }, { ""name"": ""stderr"", ""output_type"": ""stream"", ""text"": [ ""Running LuoRudy912D: 100%|█████████████| 80000/80000 [00:07<00:00, 11361.14it/s]\n"" ] } ], ""source"": [ ""di_values = []\n"", ""apd90_values = []\n"", ""\n"", ""# Run S2 branches\n"", ""for s2_delay in s2_intervals:\n"", "" stim_sequence = fw.StimSequence()\n"", "" s2_time = s2_delay\n"", "" stim_sequence.add_stim(fw.StimVoltageCoord2D(s2_time, stim_amp,\n"", "" 0, 5,\n"", "" 0, nj))\n"", ""\n"", "" tracker_sequence = fw.TrackerSequence()\n"", "" ap_tracker = fw.ActionPotential2DTracker()\n"", "" ap_tracker.cell_ind = [cell]\n"", "" ap_tracker.step = 1\n"", "" tracker_sequence.add_tracker(ap_tracker)\n"", ""\n"", "" model = fw.LuoRudy912D()\n"", "" model.dt = 0.01\n"", "" model.dr = 0.25\n"", "" model.t_max = 800 # allow repolarization\n"", "" model.cardiac_tissue = tissue\n"", "" model.stim_sequence = stim_sequence\n"", "" model.tracker_sequence = tracker_sequence\n"", "" model.state_loader = fw.StateLoader(\""s1_state\"")\n"", ""\n"", "" print(f\""Running S2 at +{s2_delay} ms...\"")\n"", "" model.run()\n"", ""\n"", "" u = ap_tracker.output\n"", "" t = np.arange(len(u)) * model.dt\n"", ""\n"", "" # Find upstroke\n"", "" up = np.where((u[:-1] < threshold_up) & (u[1:] >= threshold_up))[0]\n"", "" if len(up) == 0:\n"", "" print(f\""Loss of capture at S2 interval = {s2_delay} ms.\"")\n"", "" break\n"", "" ap_start = up[-1]\n"", ""\n"", "" peak = np.max(u[ap_start:])\n"", "" repol_level = peak - 0.9 * (peak - np.min(u[ap_start:]))\n"", "" repol_idx = np.where(u[ap_start:] < repol_level)[0]\n"", "" if len(repol_idx) == 0:\n"", "" continue\n"", "" ap_end = ap_start + repol_idx[0]\n"", "" apd90 = (ap_end - ap_start) * model.dt\n"", "" di = s2_delay\n"", ""\n"", "" if di <= 0:\n"", "" continue\n"", ""\n"", "" apd90_values.append(apd90)\n"", "" di_values.append(di)"" ] }, { ""cell_type"": ""code"", ""execution_count"": 7, ""id"": ""23763527-7ef7-43a2-b648-2b23234ae50f"", ""metadata"": {}, ""outputs"": [ { ""data"": { ""image/png"": 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"", ""text/plain"": [ ""
"" ] }, ""metadata"": {}, ""output_type"": ""display_data"" } ], ""source"": [ ""# Plot restitution curve\n"", ""plt.figure()\n"", ""plt.plot(di_values, apd90_values, 'o-')\n"", ""plt.xlabel(\""Diastolic Interval (ms)\"")\n"", ""plt.ylabel(\""APD90 (ms)\"")\n"", ""plt.title(\""S1–S2 Restitution Curve (Luo-Rudy 2D)\"")\n"", ""plt.grid()\n"", ""plt.tight_layout()\n"", ""plt.show()\n"", ""\n"", ""# Cleanup saved state\n"", ""shutil.rmtree(\""s1_state\"")"" ] }, { ""cell_type"": ""code"", ""execution_count"": null, ""id"": ""2be432a7-63b4-49e4-9c30-0ef1ee06e0f9"", ""metadata"": {}, ""outputs"": [], ""source"": [] } ], ""metadata"": { ""kernelspec"": { ""display_name"": ""Python 3 (ipykernel)"", ""language"": ""python"", ""name"": ""python3"" }, ""language_info"": { ""codemirror_mode"": { ""name"": ""ipython"", ""version"": 3 }, ""file_extension"": "".py"", ""mimetype"": ""text/x-python"", ""name"": ""python"", ""nbconvert_exporter"": ""python"", ""pygments_lexer"": ""ipython3"", ""version"": ""3.11.0"" } }, ""nbformat"": 4, ""nbformat_minor"": 5 } ","Unknown" "Cell biology","finitewave/Finitewave","Tutorials/Anisotropy2D.ipynb",".ipynb","558462","478","{ ""cells"": [ { ""cell_type"": ""markdown"", ""metadata"": {}, ""source"": [ ""# Anisotropy in 2D\n"", ""\n"", ""This tutorial demonstrates how fiber rotation affects the speed of the wave in\n"", ""different directions."" ] }, { ""cell_type"": ""code"", ""execution_count"": 5, ""metadata"": {}, ""outputs"": [ { ""name"": ""stderr"", ""output_type"": ""stream"", ""text"": [ ""Running AlievPanfilov2D: 100%|█████████▉| 2499/2500 [00:01<00:00, 2025.97it/s]\n"", ""Running AlievPanfilov2D: 100%|█████████▉| 2499/2500 [00:01<00:00, 2001.84it/s]\n"", ""Running AlievPanfilov2D: 100%|█████████▉| 2499/2500 [00:01<00:00, 2063.55it/s]\n"", ""Running AlievPanfilov2D: 100%|█████████▉| 2499/2500 [00:01<00:00, 2068.86it/s]\n"", ""Running AlievPanfilov2D: 100%|█████████▉| 2499/2500 [00:01<00:00, 2048.25it/s]\n"", ""Running AlievPanfilov2D: 100%|█████████▉| 2499/2500 [00:01<00:00, 2106.63it/s]\n"", ""Running AlievPanfilov2D: 100%|█████████▉| 2499/2500 [00:01<00:00, 2112.29it/s]\n"" ] } ], ""source"": [ ""\n"", ""import matplotlib.pyplot as plt\n"", ""import numpy as np\n"", ""import skimage as ski\n"", ""import pandas as pd\n"", ""\n"", ""import finitewave as fw\n"", ""\n"", ""\n"", ""# number of nodes on the side\n"", ""n = 400\n"", ""\n"", ""alphas = np.radians(np.arange(0, 91, 15))\n"", ""out = []\n"", ""images = []\n"", ""for alpha in alphas:\n"", "" tissue = fw.CardiacTissue2D([n, n])\n"", "" # add fibers orientation vectors\n"", "" tissue.fibers = np.zeros([n, n, 2])\n"", "" tissue.fibers[..., 0] = np.cos(alpha)\n"", "" tissue.fibers[..., 1] = np.sin(alpha)\n"", ""\n"", "" # set up stimulation parameters:\n"", "" stim_sequence = fw.StimSequence()\n"", "" stim_sequence.add_stim(fw.StimVoltageCoord2D(0, 1, n//2 - 5, n//2 + 5,\n"", "" n//2 - 5, n//2 + 5))\n"", "" \n"", "" # create model object and set up parameters\n"", "" model = fw.AlievPanfilov2D()\n"", "" model.dt = 0.01\n"", "" model.dr = 0.25\n"", "" model.t_max = 25\n"", "" model.cardiac_tissue = tissue\n"", "" model.stim_sequence = stim_sequence\n"", ""\n"", "" model.run()\n"", "" \n"", "" # calculate properties of the wave\n"", "" labeled = (model.u > 0.1).astype(int)\n"", "" props = ski.measure.regionprops_table(labeled, properties=(\n"", "" 'orientation', 'major_axis_length', 'minor_axis_length'))\n"", "" props['orientation'] = np.degrees(props['orientation'])\n"", "" props['axis_ratio'] = props['major_axis_length'] / props['minor_axis_length']\n"", "" props['alpha'] = np.degrees(alpha)\n"", "" props['density_calc'] = (np.sum(tissue.mesh[-1:1, -1:1] == 2) \n"", "" / ((n - 2) * (n - 2)))\n"", "" images.append(model.u.copy())\n"", ""\n"", "" out.append(pd.DataFrame(props))\n"", ""\n"", ""out = pd.concat(out)"" ] }, { ""cell_type"": ""markdown"", ""metadata"": {}, ""source"": [ ""### Show the Wave Anisotropy and Properties\n"", ""\n"", ""This section demonstrates the anisotropy of the wave and its properties, including orientation, major and minor axis lengths, axis ratio, and density calculation. The wave propagation is simulated for different fiber orientations (alpha values) in a 2D cardiac tissue model."" ] }, { ""cell_type"": ""code"", ""execution_count"": 6, ""metadata"": {}, ""outputs"": [ { ""data"": { ""image/png"": 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"" ] }, ""metadata"": {}, ""output_type"": ""display_data"" } ], ""source"": [ ""cv_along = out['major_axis_length'] / 2 * model.dr / model.t_max\n"", ""cv_across = out['minor_axis_length'] / 2 * model.dr / model.t_max\n"", ""\n"", ""fig, axs = plt.subplot_mosaic([[f'{i}' for i in range(7)],\n"", "" ['axis_ratio'] * 3 + ['orientation']*4],\n"", "" figsize=(14, 7))\n"", ""\n"", ""for i in range(len(alphas)):\n"", "" ax = axs[f'{i}']\n"", "" ax.imshow(images[i], cmap='jet', origin='lower')\n"", "" ax.set_title(f'{np.degrees(alphas[i]):.0f}')\n"", ""\n"", ""ax = axs['axis_ratio']\n"", ""ax.plot(out['alpha'], cv_along, 'o-', label='Along')\n"", ""ax.plot(out['alpha'], cv_across, 'o-', label='Across')\n"", ""ax.set_xlabel('alpha')\n"", ""ax.set_ylabel('CV')\n"", ""ax.set_xticks(np.degrees(alphas))\n"", ""ax.grid(True)\n"", ""ax.legend()\n"", ""\n"", ""ax = axs['orientation']\n"", ""ax.plot(out['alpha'], out['orientation'], 'o-')\n"", ""ax.set_xlabel('alpha')\n"", ""ax.set_ylabel('orientation')\n"", ""ax.set_xticks(np.degrees(alphas))\n"", ""ax.set_yticks(np.degrees(alphas))\n"", ""ax.grid(True)\n"", ""\n"", ""plt.tight_layout()\n"", ""plt.show()"" ] }, { ""cell_type"": ""markdown"", ""metadata"": {}, ""source"": [ ""## Effect of Fibrosis on Anisotropy\n"", ""\n"", ""This section explores the impact of fibrosis on the anisotropy of wave propagation in cardiac tissue. By introducing fibrosis into the tissue model, we can observe changes in wave speed and directionality. The simulations are performed for different fiber orientations (alpha values), and the resulting wave properties, such as orientation, axis lengths, and axis ratios, are analyzed to understand the effects of fibrosis on anisotropy."" ] }, { ""cell_type"": ""code"", ""execution_count"": null, ""metadata"": {}, ""outputs"": [ { ""name"": ""stderr"", ""output_type"": ""stream"", ""text"": [ ""Running AlievPanfilov2D: 100%|█████████▉| 2999/3000 [00:00<00:00, 4383.59it/s]\n"", ""Running AlievPanfilov2D: 100%|█████████▉| 2999/3000 [00:00<00:00, 4656.39it/s]\n"", ""Running AlievPanfilov2D: 100%|█████████▉| 2999/3000 [00:00<00:00, 4415.98it/s]\n"", ""Running AlievPanfilov2D: 100%|█████████▉| 2999/3000 [00:00<00:00, 4608.57it/s]\n"", ""Running AlievPanfilov2D: 100%|█████████▉| 2999/3000 [00:00<00:00, 4650.29it/s]\n"", ""Running AlievPanfilov2D: 100%|█████████▉| 2999/3000 [00:00<00:00, 4651.00it/s]\n"", ""Running AlievPanfilov2D: 100%|█████████▉| 2999/3000 [00:00<00:00, 4654.99it/s]\n"" ] } ], ""source"": [ ""import matplotlib.pyplot as plt\n"", ""import numpy as np\n"", ""import skimage as ski\n"", ""import pandas as pd\n"", ""\n"", ""import finitewave as fw\n"", ""\n"", ""# number of nodes on the side\n"", ""n = 256\n"", ""\n"", ""alphas = np.radians(np.arange(0, 91, 15))\n"", ""d = 0.2 # 20% of the tissue is fibrotic\n"", ""out_fib = []\n"", ""images_fib = []\n"", ""for alpha in alphas:\n"", "" tissue = fw.CardiacTissue2D([n, n])\n"", "" tissue.add_pattern(fw.Diffuse2DPattern(d))\n"", "" # add fibers orientation vectors\n"", "" tissue.fibers = np.zeros([n, n, 2])\n"", "" tissue.fibers[..., 0] = np.cos(alpha)\n"", "" tissue.fibers[..., 1] = np.sin(alpha)\n"", ""\n"", "" # set up stimulation parameters:\n"", "" stim_sequence = fw.StimSequence()\n"", "" stim_sequence.add_stim(fw.StimVoltageCoord2D(0, 1, n//2 - 5, n//2 + 5,\n"", "" n//2 - 5, n//2 + 5))\n"", "" \n"", "" # create model object:\n"", "" model = fw.AlievPanfilov2D()\n"", "" # set up numerical parameters:\n"", "" model.dt = 0.01\n"", "" model.dr = 0.25\n"", "" model.t_max = 30\n"", "" model.cardiac_tissue = tissue\n"", "" model.stim_sequence = stim_sequence\n"", ""\n"", "" model.run()\n"", ""\n"", "" labeled = (model.u > 0.5).astype(int)\n"", "" props = ski.measure.regionprops_table(\n"", "" labeled, properties=('orientation', 'major_axis_length',\n"", "" 'minor_axis_length'))\n"", "" props['orientation'] = np.degrees(props['orientation'])\n"", "" props['axis_ratio'] = props['major_axis_length'] / props['minor_axis_length']\n"", "" props['alpha'] = np.degrees(alpha)\n"", "" props['density_calc'] = (np.sum(tissue.mesh[-1:1, -1:1] == 2) \n"", "" / ((n - 2) * (n - 2)))\n"", "" images_fib.append(model.u.copy())\n"", ""\n"", "" out_fib.append(pd.DataFrame(props))\n"", ""\n"", ""out_fib = pd.concat(out_fib)"" ] }, { ""cell_type"": ""code"", ""execution_count"": null, ""metadata"": {}, ""outputs"": [ { ""data"": { ""image/png"": 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"", ""text/plain"": [ ""
"" ] }, ""metadata"": {}, ""output_type"": ""display_data"" } ], ""source"": [ ""cv_along = out_fib['major_axis_length'] / 2 * model.dr / model.t_max\n"", ""cv_across = out_fib['minor_axis_length'] / 2 * model.dr / model.t_max\n"", ""\n"", ""fig, axs = plt.subplot_mosaic([[f'{i}' for i in range(7)],\n"", "" ['axis_ratio'] * 2 + ['orientation']*2 +\n"", "" ['min_max'] * 3],\n"", "" figsize=(14, 7))\n"", ""\n"", ""mins = []\n"", ""maxs = []\n"", ""for i in range(len(alphas)):\n"", "" ax = axs[f'{i}']\n"", "" ax.imshow(images_fib[i], cmap='jet', origin='lower')\n"", "" ax.set_title(f'{np.degrees(alphas[i]):.0f}')\n"", ""\n"", "" mins.append(images_fib[i].min())\n"", "" maxs.append(images_fib[i].max())\n"", "" \n"", ""\n"", ""ax = axs['axis_ratio']\n"", ""ax.plot(out_fib['alpha'], cv_along, 'o-', label='Along')\n"", ""ax.plot(out_fib['alpha'], cv_across, 'o-', label='Across')\n"", ""ax.set_xlabel('alpha')\n"", ""ax.set_ylabel('CV')\n"", ""ax.set_xticks(np.degrees(alphas))\n"", ""ax.grid(True)\n"", ""ax.legend()\n"", ""\n"", ""out_fib.loc[out_fib['orientation'] < 0, 'orientation'] += 180\n"", ""\n"", ""orientation = out_fib['orientation'].values\n"", ""orientation[orientation > 90] = 180 - orientation[orientation > 90]\n"", ""\n"", ""ax = axs['orientation']\n"", ""ax.plot(out_fib['alpha'], orientation, 'o-')\n"", ""ax.set_xlabel('alpha')\n"", ""ax.set_ylabel('orientation')\n"", ""ax.set_xticks(np.degrees(alphas))\n"", ""ax.set_yticks(np.degrees(alphas))\n"", ""ax.grid(True)\n"", ""\n"", ""ax = axs['min_max']\n"", ""ax.plot(np.degrees(alphas), mins, 'o-', label='min')\n"", ""ax.plot(np.degrees(alphas), maxs, 'o-', label='max')\n"", ""ax.set_xlabel('alpha')\n"", ""ax.set_ylabel('min/max')\n"", ""ax.set_xticks(np.degrees(alphas))\n"", ""ax.grid(True)\n"", ""\n"", ""plt.tight_layout()\n"", ""plt.show()"" ] }, { ""cell_type"": ""markdown"", ""metadata"": {}, ""source"": [ ""## Using TP06 Model\n"", ""\n"", ""When using ionic model using smaller step (compared to the calculation without fibers) can be nessesary otherwise the calculation can be unstable."" ] }, { ""cell_type"": ""code"", ""execution_count"": 5, ""metadata"": {}, ""outputs"": [ { ""name"": ""stderr"", ""output_type"": ""stream"", ""text"": [ ""Running TP062D: 100%|█████████▉| 19999/20000 [01:24<00:00, 237.89it/s]\n"", ""Running TP062D: 100%|█████████▉| 19999/20000 [01:18<00:00, 254.19it/s]\n"", ""Running TP062D: 100%|█████████▉| 19999/20000 [01:19<00:00, 252.75it/s]\n"", ""Running TP062D: 100%|█████████▉| 19999/20000 [01:17<00:00, 256.73it/s]\n"", ""Running TP062D: 100%|█████████▉| 19999/20000 [01:21<00:00, 244.26it/s]\n"", ""Running TP062D: 100%|█████████▉| 19999/20000 [01:21<00:00, 246.77it/s]\n"", ""Running TP062D: 100%|█████████▉| 19999/20000 [01:22<00:00, 243.64it/s]\n"" ] } ], ""source"": [ ""import matplotlib.pyplot as plt\n"", ""import numpy as np\n"", ""import skimage as ski\n"", ""import pandas as pd\n"", ""\n"", ""import finitewave as fw\n"", ""\n"", ""# number of nodes on the side\n"", ""n = 256\n"", ""dt = 0.001\n"", ""dr = 0.1\n"", ""t_max = 20\n"", ""\n"", ""alphas = np.radians(np.arange(0, 91, 15))\n"", ""d = 0.2\n"", ""out_lr_fib = []\n"", ""images_lr_fib = []\n"", ""for alpha in alphas:\n"", "" tissue = fw.CardiacTissue2D([n, n])\n"", "" tissue.add_pattern(fw.Diffuse2DPattern(d))\n"", "" # add fibers orientation vectors\n"", "" tissue.fibers = np.zeros([n, n, 2])\n"", "" tissue.fibers[..., 0] = np.cos(alpha)\n"", "" tissue.fibers[..., 1] = np.sin(alpha)\n"", ""\n"", "" # set up stimulation parameters:\n"", "" stim = fw.StimCurrentArea2D(0, 200, 1)\n"", "" stim.add_stim_point([n//2, n//2], tissue.mesh, 5)\n"", "" stim_sequence = fw.StimSequence()\n"", "" stim_sequence.add_stim(stim)\n"", ""\n"", "" # create model object:\n"", "" model = fw.TP062D()\n"", "" # set up numerical parameters:\n"", "" model.dt = dt\n"", "" model.dr = dr\n"", "" model.t_max = t_max\n"", "" model.cardiac_tissue = tissue\n"", "" model.stim_sequence = stim_sequence\n"", ""\n"", "" model.run()\n"", ""\n"", "" labeled = (model.u > 0.).astype(int)\n"", "" props = ski.measure.regionprops_table(\n"", "" labeled, properties=('orientation', 'major_axis_length',\n"", "" 'minor_axis_length'))\n"", "" props['orientation'] = np.degrees(props['orientation'])\n"", "" props['axis_ratio'] = props['major_axis_length'] / props['minor_axis_length']\n"", "" props['alpha'] = np.degrees(alpha)\n"", "" props['density_calc'] = (np.sum(tissue.mesh[-1:1, -1:1] == 2) \n"", "" / ((n - 2) * (n - 2)))\n"", "" images_lr_fib.append(model.u.copy())\n"", ""\n"", "" out_lr_fib.append(pd.DataFrame(props))\n"", ""\n"", ""out_lr_fib = pd.concat(out_lr_fib)"" ] }, { ""cell_type"": ""code"", ""execution_count"": 6, ""metadata"": {}, ""outputs"": [ { ""data"": { ""image/png"": 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"", ""text/plain"": [ ""
"" ] }, ""metadata"": {}, ""output_type"": ""display_data"" } ], ""source"": [ ""cv_along = out_lr_fib['major_axis_length'] / 2 * model.dr / model.t_max\n"", ""cv_across = out_lr_fib['minor_axis_length'] / 2 * model.dr / model.t_max\n"", ""\n"", ""fig, axs = plt.subplot_mosaic([[f'{i}' for i in range(7)],\n"", "" ['axis_ratio'] * 2 + ['orientation']*2 +\n"", "" ['min_max'] * 3],\n"", "" figsize=(14, 7))\n"", ""\n"", ""mins = []\n"", ""maxs = []\n"", ""for i in range(len(alphas)):\n"", "" ax = axs[f'{i}']\n"", "" ax.imshow(images_lr_fib[i], cmap='jet', origin='lower')\n"", "" ax.set_title(f'{np.degrees(alphas[i]):.0f}')\n"", ""\n"", "" mins.append(images_lr_fib[i].min())\n"", "" maxs.append(images_lr_fib[i].max())\n"", "" \n"", ""\n"", ""ax = axs['axis_ratio']\n"", ""ax.plot(out_lr_fib['alpha'], cv_along, 'o-', label='Along')\n"", ""ax.plot(out_lr_fib['alpha'], cv_across, 'o-', label='Across')\n"", ""ax.set_xlabel('alpha')\n"", ""ax.set_ylabel('CV, mm/ms')\n"", ""ax.set_xticks(np.degrees(alphas))\n"", ""ax.grid(True)\n"", ""ax.legend()\n"", ""\n"", ""out_lr_fib.loc[out_lr_fib['orientation'] < 0, 'orientation'] += 180\n"", ""\n"", ""orientation = out_lr_fib['orientation'].values\n"", ""orientation[orientation > 90] = 180 - orientation[orientation > 90]\n"", ""\n"", ""ax = axs['orientation']\n"", ""ax.plot(out_lr_fib['alpha'], orientation, 'o-')\n"", ""ax.set_xlabel('alpha')\n"", ""ax.set_ylabel('orientation')\n"", ""ax.set_xticks(np.degrees(alphas))\n"", ""ax.set_yticks(np.degrees(alphas))\n"", ""ax.grid(True)\n"", ""\n"", ""ax = axs['min_max']\n"", ""ax.plot(np.degrees(alphas), mins, 'o-', label='min')\n"", ""ax.plot(np.degrees(alphas), maxs, 'o-', label='max')\n"", ""ax.set_xlabel('alpha')\n"", ""ax.set_ylabel('min/max')\n"", ""ax.set_xticks(np.degrees(alphas))\n"", ""ax.grid(True)\n"", ""\n"", ""plt.tight_layout()\n"", ""plt.show()"" ] } ], ""metadata"": { ""kernelspec"": { ""display_name"": ""Python 3 (ipykernel)"", ""language"": ""python"", ""name"": ""python3"" }, ""language_info"": { ""codemirror_mode"": { ""name"": ""ipython"", ""version"": 3 }, ""file_extension"": "".py"", ""mimetype"": ""text/x-python"", ""name"": ""python"", ""nbconvert_exporter"": ""python"", ""pygments_lexer"": ""ipython3"", ""version"": ""3.11.0"" } }, ""nbformat"": 4, ""nbformat_minor"": 4 } ","Unknown" "Cell biology","finitewave/Finitewave","tests/test_trackers_2d.py",".py","9282","306","import os import shutil import numpy as np import pytest import finitewave as fw @pytest.fixture def cable_model(): ni = 12 nj = 3 tissue = fw.CardiacTissue2D([ni, nj]) stim_sequence = fw.StimSequence() stim_sequence.add_stim(fw.StimCurrentCoord2D(0, 5, 0.5, 0, 5, 0, nj)) model = fw.AlievPanfilov2D() model.dt = 0.01 model.dr = 0.25 model.t_max = 3 model.cardiac_tissue = tissue model.stim_sequence = stim_sequence return model @pytest.fixture def spiral_model(): ni = 100 nj = 100 tissue = fw.CardiacTissue2D([ni, nj]) stim_sequence = fw.StimSequence() stim_sequence.add_stim(fw.StimVoltageCoord2D(0, 1, 0, ni, 0, 3)) stim_sequence.add_stim(fw.StimVoltageCoord2D(5, 1, 0, ni//2, 0, nj)) model = fw.Barkley2D() model.dt = 0.01 model.dr = 0.25 model.t_max = 20 model.cardiac_tissue = tissue model.stim_sequence = stim_sequence return model @pytest.fixture def planar_model(): ni = 50 nj = 5 tissue = fw.CardiacTissue2D([ni, nj]) stim_sequence = fw.StimSequence() stim_sequence.add_stim(fw.StimCurrentCoord2D(5, 5, 0.5, 0, 5, 0, nj)) model = fw.AlievPanfilov2D() model.dt = 0.0015 model.dr = 0.25 model.t_max = 15 model.cardiac_tissue = tissue model.stim_sequence = stim_sequence return model @pytest.mark.action_potential_2d_tracker def test_action_potential_tracker(cable_model): tracker = fw.ActionPotential2DTracker() tracker.cell_ind = [10, 1] tracker.step = 1 seq = fw.TrackerSequence() seq.add_tracker(tracker) cable_model.tracker_sequence = seq cable_model.t_max = 30 cable_model.run() u = tracker.output # Check if the output is not empty assert u is not None assert len(u) > 0 # Check if the Aliev-Panfilov model maximal amplitude is within expected range assert np.max(u) == pytest.approx(1.0, abs=0.02) threshold = 0.1 up_idx = np.where((u[:-1] < threshold) & (u[1:] >= threshold))[0] down_idx = np.where((u[:-1] > threshold) & (u[1:] <= threshold))[0] assert len(up_idx) > 0, ""Action potential upstroke not found"" assert len(down_idx) > 0, ""Action potential downstroke not found"" ap_start = up_idx[0] ap_end = down_idx[down_idx > ap_start][0] apd = (ap_end - ap_start) * cable_model.dt # without prebeats: assert 20 <= apd <= 30, f""APD90 is out of expected range {apd}"" @pytest.mark.animation_2d_tracker def test_animation_2d_tracker(spiral_model): tracker = fw.Animation2DTracker() tracker.variable_name = ""u"" tracker.dir_name = ""test_frames"" tracker.step = 100 # write every 100th step tracker.overwrite = True seq = fw.TrackerSequence() seq.add_tracker(tracker) spiral_model.tracker_sequence = seq spiral_model.run() # Check if the animation files are created assert os.path.exists(tracker.dir_name), ""Output directory was not created."" files = sorted(os.listdir(tracker.dir_name)) expected_frames = (spiral_model.t_max/spiral_model.dt) // tracker.step assert len(files) == expected_frames, f""Expected {expected_frames} frames, got {len(files)}"" # Check if the frames are not empty for fname in files: frame = np.load(os.path.join(tracker.dir_name, fname)) assert np.any(frame > 0), f""Frame {fname} appears to be empty."" shutil.rmtree(tracker.dir_name) @pytest.mark.activation_time_2d_tracker def test_activation_time_2d_tracker(cable_model): # TODO: # Edge cases: start time - end time, values rewriting (should not work) tracker = fw.ActivationTime2DTracker() tracker.threshold = 0.5 tracker.step = 1 tracker.start_time = 0 seq = fw.TrackerSequence() seq.add_tracker(tracker) cable_model.tracker_sequence = seq cable_model.run() ats = tracker.output # Check if the output is not empty assert ats is not None assert len(ats) > 0 assert np.any(~np.isnan(ats)), ""AT array is entirely NaN"" # Check if the wavefront speed (distance/activation time) value is within expected range speed = 5*cable_model.dr/ats[10, 1] # 5 - number of nodes on the way assert 1.5 <= speed <= 2, f""Wavefront speed is out of expected range {speed}"" @pytest.mark.local_activation_time_2d_tracker def test_local_activation_time_2d_tracker(cable_model): tracker = fw.LocalActivationTime2DTracker() tracker.threshold = 0.5 tracker.step = 1 tracker.start_time = 0 seq = fw.TrackerSequence() seq.add_tracker(tracker) cable_model.tracker_sequence = seq cable_model.stim_sequence.add_stim(fw.StimVoltageCoord2D(45, 1, 0, 5, 0, 10)) cable_model.t_max = 50 cable_model.run() lats = tracker.output # Check if the output is not empty assert lats is not None assert len(lats) > 0 assert np.any(~np.isnan(lats)), ""LAT array is entirely NaN"" # Values at the center cell should have two LAT values assert len(lats) == 2, ""Every cell should have two LAT values"" LAT1, LAT2 = lats[:, 10, 1] # Check if the wavefront speed (distance/activation time) values are within expected range assert LAT1 < LAT2, ""LAT values should be in ascending order"" speed_1 = 5*cable_model.dr/LAT1 # 5 - number of nodes on the way speed_2 = 5*cable_model.dr/(LAT2 - 45) # 45 - second wave start time assert 1.5 <= speed_1 <= 2, f""Wavefront speed for the first wave is out of expected range {speed_1}"" assert 1.5 <= speed_2 <= 2, f""Wavefront speed for the second wave is out of expected range {speed_2}"" @pytest.mark.activation_time_2d_tracker def test_multi_variable_2d_tracker(cable_model): tracker = fw.MultiVariable2DTracker() tracker.cell_ind = [10, 1] tracker.var_list = [""v""] seq = fw.TrackerSequence() seq.add_tracker(tracker) cable_model.tracker_sequence = seq cable_model.t_max = 30 cable_model.run() v = tracker.output[""v""] # Check if the output is not empty assert v is not None assert len(v) > 0 # Check if the Aliev-Panfilov model 'v' maximal amplitude is within expected range assert np.max(v) == pytest.approx(2, abs=0.1) @pytest.mark.spiral_wave_core_2d_tracker def test_spiral_wave_core_2d_tracker(spiral_model): tracker = fw.SpiralWaveCore2DTracker() tracker.threshold = 0.5 tracker.start_time = 12 tracker.step = 10 # Record the spiral wave core every 10 step seq = fw.TrackerSequence() seq.add_tracker(tracker) spiral_model.tracker_sequence = seq spiral_model.run() sw_core = tracker.output x, y = sw_core['x'], sw_core['y'] # Check if the output is not empty assert x is not None assert y is not None assert len(x) > 0 assert len(y) > 0 # Check if the spiral wave core is within expected range assert np.min(x) >= 32 assert np.max(x) <= 38 assert np.min(y) >= 47 assert np.max(y) <= 53 @pytest.mark.spiral_wave_period_2d_tracker def test_spiral_wave_period_2d_tracker(spiral_model): tracker = fw.Period2DTracker() # Here we create an int array of detectors as a list of positions in which we want to calculate the period. positions = np.array([[80, 80], [20, 70], [40, 10], [25, 90]]) tracker.cell_ind = positions tracker.threshold = 0.5 tracker.start_time = 10 tracker.step = 10 seq = fw.TrackerSequence() seq.add_tracker(tracker) spiral_model.tracker_sequence = seq spiral_model.run() periods = tracker.output period_mean = np.mean(np.array([np.mean(x) if len(x) > 0 else np.nan for x in periods])) # Check if the output is not empty assert periods is not None assert len(periods) > 0 # Check if the spiral wave period is within expected range assert period_mean == pytest.approx(3.5, abs=0.2) @pytest.mark.ecg_2d_tracker def test_ecg_2d_tracker(planar_model): tracker = fw.ECG2DTracker() tracker.start_time = 0 tracker.step = 10 tracker.measure_coords = np.array([[25, 2, 0]]) seq = fw.TrackerSequence() seq.add_tracker(tracker) planar_model.tracker_sequence = seq planar_model.run() ecg = tracker.output.T[0] assert ecg.max() > 0.001 assert ecg.min() < -0.001 assert np.argmax(ecg) > 100 # Check if the peak occurs not at the beginning def test_period_animation_2d_tracker(spiral_model): tracker = fw.PeriodAnimation2DTracker() tracker.dir_name = ""test_frames"" tracker.threshold = 0.5 tracker.step = 100 # write every 100th step tracker.overwrite = True seq = fw.TrackerSequence() seq.add_tracker(tracker) spiral_model.tracker_sequence = seq spiral_model.run() # Check if the animation files are created assert os.path.exists(tracker.dir_name), ""Output directory was not created."" files = sorted(os.listdir(tracker.dir_name)) expected_frames = (spiral_model.t_max/spiral_model.dt) // tracker.step assert len(files) == expected_frames, f""Expected {expected_frames} frames, got {len(files)}"" # Check if the frames are not empty frame = np.load(os.path.join(tracker.dir_name, files[-1])) assert np.any(frame > 0), f""Frame {frame} appears to be empty."" shutil.rmtree(tracker.dir_name) ","Python" "Cell biology","finitewave/Finitewave","tests/test_fibrosis_3d.py",".py","1594","51","import random import numpy as np from finitewave.cpuwave3D.fibrosis.diffuse_3d_pattern import Diffuse3DPattern from finitewave.cpuwave3D.fibrosis.structural_3d_pattern import Structural3DPattern def test_diffuse_fibrosis_3d(): shape = (100, 100, 100) x1, x2 = 10, 90 y1, y2 = 20, 80 z1, z2 = 30, 70 density = 0.3 random.seed(0) pattern = Diffuse3DPattern(density=density, x1=x1, x2=x2, y1=y1, y2=y2, z1=z1, z2=z2) result = pattern.generate(shape=shape) assert result.shape == shape, ""Diffuse: shape mismatch"" assert np.all(np.isin(result, [1, 2])), ""Diffuse: invalid values in result"" subregion = result[x1:x2, y1:y2, z1:z2] fibrosis_ratio = np.sum(subregion == 2) / subregion.size assert abs(fibrosis_ratio - density) < 0.01, ""Diffuse: fibrosis density mismatch"" def test_structural_fibrosis_3d(): shape = (100, 100, 100) x1, x2 = 10, 90 y1, y2 = 20, 80 z1, z2 = 30, 70 density = 0.4 length_i = 5 length_j = 4 length_k = 3 random.seed(0) pattern = Structural3DPattern( density=density, length_i=length_i, length_j=length_j, length_k=length_k, x1=x1, x2=x2, y1=y1, y2=y2, z1=z1, z2=z2 ) result = pattern.generate(shape=shape) assert result.shape == shape, ""Structural: shape mismatch"" assert np.all(np.isin(result, [1, 2])), ""Structural: invalid values in result"" subregion = result[x1:x2, y1:y2, z1:z2] fibrosis_ratio = np.sum(subregion == 2) / subregion.size assert abs(fibrosis_ratio - density) < 0.05, ""Structural: fibrosis density mismatch""","Python" "Cell biology","finitewave/Finitewave","tests/test_basics.py",".py","1936","76","import os import shutil import numpy as np import pytest import finitewave as fw def test_state_loading(): n = 5 tissue = fw.CardiacTissue2D([n, n]) stim_sequence = fw.StimSequence() stim_sequence.add_stim(fw.StimCurrentCoord2D(0, 10, 0.5, 1, n//2, n//2 + 1, n//2, n//2 + 1)) state_saver = fw.StateSaverCollection() state_saver.savers.append(fw.StateSaver(""state_0"", time=3)) model = fw.FentonKarma2D() model.dt = 0.01 model.dr = 0.25 model.t_max = 5 model.cardiac_tissue = tissue model.stim_sequence = stim_sequence model.state_saver = state_saver model.run() u_before = model.u.copy() v_before = model.v.copy() w_before = model.w.copy() # recreate the model model = fw.FentonKarma2D() model.dt = 0.01 model.dr = 0.25 model.t_max = 5 model.cardiac_tissue = tissue model.state_loader = fw.StateLoader(""state_0"") model.run() u_after = model.u.copy() v_after = model.v.copy() w_after = model.w.copy() assert np.allclose(u_before, u_after, atol=1e-5), ""u states are not equal"" assert np.allclose(v_before, v_after, atol=1e-5), ""v states are not equal"" assert np.allclose(w_before, w_after, atol=1e-5), ""w states are not equal"" def test_commands(): n = 5 tissue = fw.CardiacTissue2D([n, n]) stim_sequence = fw.StimSequence() model = fw.FentonKarma2D() model.dt = 0.01 model.dr = 0.25 model.t_max = 10 class ExcitationCommand(fw.Command): def execute(self, model): model.u[1:-1, 1:-1] = 1 command_sequence = fw.CommandSequence() command_sequence.add_command(ExcitationCommand(5)) model.cardiac_tissue = tissue model.stim_sequence = stim_sequence model.command_sequence = command_sequence model.run() assert np.mean(model.u[1:-1, 1:-1]) > 0.5, ""Command did not work""","Python" "Cell biology","finitewave/Finitewave","tests/test_models_3d.py",".py","9016","297","import os import shutil import numpy as np import pytest import finitewave as fw def prepare_model(model_class, curr_value, curr_dur, t_calc, t_prebeats): """""" Prepares a 3D cardiac model with a stimulation protocol. Parameters ---------- model_class : Callable The cardiac model class to be instantiated. curr_value : float Amplitude of the stimulus current (μA/cm² or model units). curr_dur : float Duration of each stimulus pulse (ms or model units). t_calc : float Time after the last preconditioning beat to continue recording (ms or model units). t_prebeats : float Interval between preconditioning stimuli (ms or model units). Returns ------- model : CardiacModel Configured and initialized model ready for simulation. """""" ni = 5 nj = 3 nk = 3 tissue = fw.CardiacTissue3D([ni, nj, nk]) stim_sequence = fw.StimSequence() stim_sequence.add_stim(fw.StimCurrentCoord3D(0, curr_value, curr_dur, 0, 2, 0, nj, 0, nk)) stim_sequence.add_stim(fw.StimCurrentCoord3D(t_prebeats, curr_value, curr_dur, 0, 2, 0, nj, 0, nk)) stim_sequence.add_stim(fw.StimCurrentCoord3D(2*t_prebeats, curr_value, curr_dur, 0, 2, 0, nj, 0, nk)) stim_sequence.add_stim(fw.StimCurrentCoord3D(3*t_prebeats, curr_value, curr_dur, 0, 2, 0, nj, 0, nk)) model = model_class() model.dt = 0.01 model.dr = 0.25 model.t_max = 3*t_prebeats + t_calc model.cardiac_tissue = tissue model.stim_sequence = stim_sequence return model def run_model(model): """""" Runs a cardiac model with a membrane potential tracker. Parameters ---------- model : CardiacModel A configured model with stimulation and tissue already assigned. Returns ------- output : np.ndarray Time series of membrane potential for a specific cell. """""" tracker = fw.ActionPotential3DTracker() tracker.cell_ind = [3, 1, 1] tracker.step = 1 seq = fw.TrackerSequence() seq.add_tracker(tracker) model.tracker_sequence = seq model.run() return tracker.output def calculate_apd(u, dt, threshold, beat_index=3): """""" Calculates the action potential duration (APD) for a single beat. Parameters ---------- u : np.ndarray Membrane potential time series. dt : float Time step of the simulation (ms). threshold : float Voltage threshold to define APD90 (e.g., -70 mV or 0.1 for normalized models). beat_index : int, optional Index of the beat to analyze (default is 3). Returns ------- apd : float or None Duration of the action potential (ms or model units), or None if no complete AP was found. """""" up_idx = np.where((u[:-1] < threshold) & (u[1:] >= threshold))[0] down_idx = np.where((u[:-1] > threshold) & (u[1:] <= threshold))[0] if len(up_idx) <= beat_index or len(down_idx) == 0: return None ap_start = up_idx[beat_index] ap_end_candidates = down_idx[down_idx > ap_start] if len(ap_end_candidates) == 0: return None ap_end = ap_end_candidates[0] return (ap_end - ap_start) * dt @pytest.mark.aliev_panfilov_3d def test_aliev_panfilov(): """""" Test the Aliev-Panfilov 3D model. This test checks: - Correct range of membrane potential values after stimulation. - Action potential duration (APD90) within expected range [21, 23] ms. Stimulation: - 4 current pulses at intervals of 60 ms. - Amplitude: 10 - Duration: 0.5 ms """""" model = prepare_model(fw.AlievPanfilov3D, curr_value=5, curr_dur=0.5, t_calc=80, t_prebeats=60) u = run_model(model) assert np.max(u) == pytest.approx(1.0, abs=0.02) assert np.min(u) == pytest.approx(0.0, abs=0.01) apd = calculate_apd(u, model.dt, threshold=0.1) assert 20 <= apd <= 25, f""Aliev-Panfilov APD90 is out of expected range {apd}"" @pytest.mark.barkley_3d def test_barkley(): """""" Test the Barkley 3D model. This test checks: - Correct range of membrane potential values after stimulation. - Action potential duration (APD90) within expected range [1, 2] ms. Stimulation: - 4 current pulses at intervals of 60 ms. - Amplitude: 1 - Duration: 0.5 ms """""" model = prepare_model(fw.Barkley3D, curr_value=5, curr_dur=0.1, t_calc=80, t_prebeats=60) u = run_model(model) assert np.max(u) == pytest.approx(1.0, abs=0.02) assert np.min(u) == pytest.approx(0.0, abs=0.01) apd = calculate_apd(u, model.dt, threshold=0.1) assert 1 <= apd <= 4, f""Barkley APD90 is out of expected range {apd}"" @pytest.mark.mitchell_schaeffer_3d def test_mitchell_schaeffer(): """""" Test the Mitchell-Schaeffer 3D model. This test checks: - Correct range of membrane potential values after stimulation. - Action potential duration (APD90) within [280, 320] ms. Stimulation: - 4 current pulses at intervals of 1000 ms. - Amplitude: 10 - Duration: 0.5 ms """""" model = prepare_model(fw.MitchellSchaeffer3D, curr_value=5, curr_dur=0.5, t_calc=1000, t_prebeats=1000) u = run_model(model) assert np.max(u) == pytest.approx(0.95, abs=0.02) assert np.min(u) == pytest.approx(0.0, abs=0.01) apd = calculate_apd(u, model.dt, threshold=0.1) assert 250 <= apd <= 350, f""Mitchell-Schaeffer APD90 is out of expected range {apd}"" @pytest.mark.fenton_karma_3d def test_fenton_karma(): """""" Test the Fenton-Karma 3D model. This test checks: - Correct range of membrane potential values after stimulation. - Action potential duration (APD90) within [100, 200] ms. Stimulation: - 4 current pulses at intervals of 1000 ms. - Amplitude: 10 - Duration: 0.5 ms """""" model = prepare_model(fw.FentonKarma3D, curr_value=5, curr_dur=0.5, t_calc=1000, t_prebeats=1000) u = run_model(model) assert np.max(u) == pytest.approx(1.0, abs=0.02) assert np.min(u) == pytest.approx(0.0, abs=0.01) apd = calculate_apd(u, model.dt, threshold=0.1) assert 100 <= apd <= 200, f""Fenton-Karma APD90 is out of expected range {apd}"" @pytest.mark.bueno_orovio_3d def test_bueno_orovio_3d(): """""" Test the Bueno-Orovio 3D model. This test checks: - Correct range of membrane potential values after stimulation. - Action potential duration (APD90) within [200, 300] ms. Stimulation: - 4 current pulses at intervals of 1000 ms. - Amplitude: 100 - Duration: 1 ms """""" model = prepare_model(fw.BuenoOrovio3D, curr_value=5, curr_dur=0.5, t_calc=1000, t_prebeats=1000) u = run_model(model) assert np.max(u) == pytest.approx(1.4, abs=0.1) assert np.min(u) == pytest.approx(0.0, abs=0.01) apd = calculate_apd(u, model.dt, threshold=0.1) assert 200 <= apd <= 300, f""Bueno-Orovio APD90 is out of expected range {apd}"" @pytest.mark.luo_rudy91_3d def test_luo_rudy(): """""" Test the Luo-Rudy 1991 3D model. This test checks: - Correct range of membrane potential values after stimulation. - APD90 is within [350, 400] ms. Stimulation: - 4 current pulses at intervals of 1000 ms. - Amplitude: 100 - Duration: 1 ms """""" model = prepare_model(fw.LuoRudy913D, curr_value=100, curr_dur=1, t_calc=1000, t_prebeats=1000) u = run_model(model) assert np.max(u) > 20 assert np.min(u) < -80 apd = calculate_apd(u, model.dt, threshold=-70) assert 350 <= apd <= 400, f""Luo-Rudy APD90 is out of expected range {apd}"" @pytest.mark.tp06_3d def test_tp06(): """""" Test the Ten Tusscher-Panfilov 2006 (TP06) 3D model. This test checks: - Correct range of membrane potential values after stimulation. - Action potential duration (APD90) within [280, 320] ms. Stimulation: - 4 current pulses at intervals of 1000 ms. - Amplitude: 100 - Duration: 1 ms """""" model = prepare_model(fw.TP063D, curr_value=100, curr_dur=1, t_calc=1000, t_prebeats=1000) u = run_model(model) assert np.max(u) > 20 assert np.min(u) < -80 apd = calculate_apd(u, model.dt, threshold=-70) assert 280 <= apd <= 320, f""TP06 APD90 is out of expected range {apd}"" @pytest.mark.courtemanche_3d def test_courtemanche(): """""" Test the Courtemanche 3D model. This test checks: - Correct range of membrane potential values after stimulation. - Action potential duration (APD90) within [200, 300] ms. Note: Slightly elevated plateau potential is expected in some parameterizations. Stimulation: - 4 current pulses at intervals of 1000 ms. - Amplitude: 100 - Duration: 1 ms """""" model = prepare_model(fw.Courtemanche3D, curr_value=100, curr_dur=1, t_calc=1000, t_prebeats=1000) u = run_model(model) assert np.max(u) > 10 assert np.min(u) < -80 apd = calculate_apd(u, model.dt, threshold=-70) assert 200 <= apd <= 300, f""Courtemanche APD90 is out of expected range {apd}"" ","Python" "Cell biology","finitewave/Finitewave","tests/test_models_2d.py",".py","8986","295","import os import shutil import numpy as np import pytest import finitewave as fw def prepare_model(model_class, curr_value, curr_dur, t_calc, t_prebeats): """""" Prepares a 2D cardiac model with a stimulation protocol. Parameters ---------- model_class : Callable The cardiac model class to be instantiated. curr_value : float Amplitude of the stimulus current (μA/cm² or model units). curr_dur : float Duration of each stimulus pulse (ms or model units). t_calc : float Time after the last preconditioning beat to continue recording (ms or model units). t_prebeats : float Interval between preconditioning stimuli (ms or model units). Returns ------- model : CardiacModel Configured and initialized model ready for simulation. """""" ni = 5 nj = 3 tissue = fw.CardiacTissue2D([ni, nj]) stim_sequence = fw.StimSequence() stim_sequence.add_stim(fw.StimCurrentCoord2D(0, curr_value, curr_dur, 0, 2, 0, nj)) stim_sequence.add_stim(fw.StimCurrentCoord2D(t_prebeats, curr_value, curr_dur, 0, 2, 0, nj)) stim_sequence.add_stim(fw.StimCurrentCoord2D(2*t_prebeats, curr_value, curr_dur, 0, 2, 0, nj)) stim_sequence.add_stim(fw.StimCurrentCoord2D(3*t_prebeats, curr_value, curr_dur, 0, 2, 0, nj)) model = model_class() model.dt = 0.01 model.dr = 0.25 model.t_max = 3*t_prebeats + t_calc model.cardiac_tissue = tissue model.stim_sequence = stim_sequence return model def run_model(model): """""" Runs a cardiac model with a membrane potential tracker. Parameters ---------- model : CardiacModel A configured model with stimulation and tissue already assigned. Returns ------- output : np.ndarray Time series of membrane potential for a specific cell. """""" tracker = fw.ActionPotential2DTracker() tracker.cell_ind = [3, 1] tracker.step = 1 seq = fw.TrackerSequence() seq.add_tracker(tracker) model.tracker_sequence = seq model.run() return tracker.output def calculate_apd(u, dt, threshold, beat_index=3): """""" Calculates the action potential duration (APD) for a single beat. Parameters ---------- u : np.ndarray Membrane potential time series. dt : float Time step of the simulation (ms). threshold : float Voltage threshold to define APD90 (e.g., -70 mV or 0.1 for normalized models). beat_index : int, optional Index of the beat to analyze (default is 3). Returns ------- apd : float or None Duration of the action potential (ms or model units), or None if no complete AP was found. """""" up_idx = np.where((u[:-1] < threshold) & (u[1:] >= threshold))[0] down_idx = np.where((u[:-1] > threshold) & (u[1:] <= threshold))[0] if len(up_idx) <= beat_index or len(down_idx) == 0: return None ap_start = up_idx[beat_index] ap_end_candidates = down_idx[down_idx > ap_start] if len(ap_end_candidates) == 0: return None ap_end = ap_end_candidates[0] return (ap_end - ap_start) * dt @pytest.mark.aliev_panfilov_2d def test_aliev_panfilov_2d(): """""" Test the Aliev-Panfilov 2D model. This test checks: - Correct range of membrane potential values after stimulation. - Action potential duration (APD90) within expected range [21, 23] ms. Stimulation: - 4 current pulses at intervals of 60 ms. - Amplitude: 10 - Duration: 0.5 ms """""" model = prepare_model(fw.AlievPanfilov2D, curr_value=5, curr_dur=0.5, t_calc=80, t_prebeats=60) u = run_model(model) assert np.max(u) == pytest.approx(1.0, abs=0.1) assert np.min(u) == pytest.approx(0.0, abs=0.01) apd = calculate_apd(u, model.dt, threshold=0.1) assert 20 <= apd <= 25, f""Aliev-Panfilov APD90 is out of expected range {apd}"" @pytest.mark.barkley_2d def test_barkley_2d(): """""" Test the Barkley 2D model. This test checks: - Correct range of membrane potential values after stimulation. - Action potential duration (APD90) within expected range [1, 2] ms. Stimulation: - 4 current pulses at intervals of 60 ms. - Amplitude: 1 - Duration: 0.5 ms """""" model = prepare_model(fw.Barkley2D, curr_value=5, curr_dur=0.1, t_calc=80, t_prebeats=60) u = run_model(model) assert np.max(u) == pytest.approx(1.0, abs=0.1) assert np.min(u) == pytest.approx(0.0, abs=0.01) apd = calculate_apd(u, model.dt, threshold=0.1) assert 1 <= apd <= 4, f""Barkley APD90 is out of expected range {apd}"" @pytest.mark.mitchell_schaeffer_2d def test_mitchell_schaeffer_2d(): """""" Test the Mitchell-Schaeffer 2D model. This test checks: - Correct range of membrane potential values after stimulation. - Action potential duration (APD90) within [280, 320] ms. Stimulation: - 4 current pulses at intervals of 1000 ms. - Amplitude: 10 - Duration: 0.5 ms """""" model = prepare_model(fw.MitchellSchaeffer2D, curr_value=5, curr_dur=0.5, t_calc=1000, t_prebeats=1000) u = run_model(model) assert np.max(u) == pytest.approx(0.95, abs=0.1) assert np.min(u) == pytest.approx(0.0, abs=0.01) apd = calculate_apd(u, model.dt, threshold=0.1) assert 250 <= apd <= 350, f""Mitchell-Schaeffer APD90 is out of expected range {apd}"" @pytest.mark.fenton_karma_2d def test_fenton_karma_2d(): """""" Test the Fenton-Karma 2D model. This test checks: - Correct range of membrane potential values after stimulation. - Action potential duration (APD90) within [100, 200] ms. Stimulation: - 4 current pulses at intervals of 1000 ms. - Amplitude: 10 - Duration: 0.5 ms """""" model = prepare_model(fw.FentonKarma2D, curr_value=5, curr_dur=0.5, t_calc=1000, t_prebeats=1000) u = run_model(model) assert np.max(u) == pytest.approx(1.0, abs=0.1) assert np.min(u) == pytest.approx(0.0, abs=0.01) apd = calculate_apd(u, model.dt, threshold=0.1) assert 100 <= apd <= 200, f""Fenton-Karma APD90 is out of expected range {apd}"" @pytest.mark.bueno_orovio_2d def test_bueno_orovio_2d(): """""" Test the Bueno-Orovio 2D model. This test checks: - Correct range of membrane potential values after stimulation. - Action potential duration (APD90) within [200, 300] ms. Stimulation: - 4 current pulses at intervals of 1000 ms. - Amplitude: 100 - Duration: 1 ms """""" model = prepare_model(fw.BuenoOrovio2D, curr_value=5, curr_dur=0.5, t_calc=1000, t_prebeats=1000) u = run_model(model) assert np.max(u) == pytest.approx(1.4, abs=0.1) assert np.min(u) == pytest.approx(0.0, abs=0.01) apd = calculate_apd(u, model.dt, threshold=0.1) assert 200 <= apd <= 300, f""Bueno-Orovio APD90 is out of expected range {apd}"" @pytest.mark.luo_rudy91_2d def test_luo_rudy_2d(): """""" Test the Luo-Rudy 1991 2D model. This test checks: - Correct range of membrane potential values after stimulation. - APD90 is within [350, 400] ms. Stimulation: - 4 current pulses at intervals of 1000 ms. - Amplitude: 100 - Duration: 1 ms """""" model = prepare_model(fw.LuoRudy912D, curr_value=100, curr_dur=1, t_calc=1000, t_prebeats=1000) u = run_model(model) assert np.max(u) > 20 assert np.min(u) < -80 apd = calculate_apd(u, model.dt, threshold=-70) assert 350 <= apd <= 400, f""Luo-Rudy APD90 is out of expected range {apd}"" @pytest.mark.tp06_2d def test_tp06_2d(): """""" Test the Ten Tusscher-Panfilov 2006 (TP06) 2D model. This test checks: - Correct range of membrane potential values after stimulation. - Action potential duration (APD90) within [280, 320] ms. Stimulation: - 4 current pulses at intervals of 1000 ms. - Amplitude: 100 - Duration: 1 ms """""" model = prepare_model(fw.TP062D, curr_value=100, curr_dur=1, t_calc=1000, t_prebeats=1000) u = run_model(model) assert np.max(u) > 20 assert np.min(u) < -80 apd = calculate_apd(u, model.dt, threshold=-70) assert 280 <= apd <= 320, f""TP06 APD90 is out of expected range {apd}"" @pytest.mark.courtemanche_2d def test_courtemanche_2d(): """""" Test the Courtemanche 2D model. This test checks: - Correct range of membrane potential values after stimulation. - Action potential duration (APD90) within [200, 300] ms. Note: Slightly elevated plateau potential is expected in some parameterizations. Stimulation: - 4 current pulses at intervals of 1000 ms. - Amplitude: 100 - Duration: 1 ms """""" model = prepare_model(fw.Courtemanche2D, curr_value=100, curr_dur=1, t_calc=1000, t_prebeats=1000) u = run_model(model) assert np.max(u) > 10 assert np.min(u) < -80 apd = calculate_apd(u, model.dt, threshold=-70) assert 200 <= apd <= 300, f""Courtemanche APD90 is out of expected range {apd}"" ","Python" "Cell biology","finitewave/Finitewave","tests/test_fibrosis_2d.py",".py","1478","48","import random import numpy as np from finitewave.cpuwave2D.fibrosis.diffuse_2d_pattern import Diffuse2DPattern from finitewave.cpuwave2D.fibrosis.structural_2d_pattern import Structural2DPattern def test_diffuse_fibrosis_2d(): shape = (1000, 1000) x1, x2 = 100, 900 y1, y2 = 200, 800 density = 0.3 random.seed(0) pattern = Diffuse2DPattern(density=density, x1=x1, x2=x2, y1=y1, y2=y2) result = pattern.generate(shape=shape) assert result.shape == shape, ""Diffuse: shape mismatch"" assert np.all(np.isin(result, [1, 2])), ""Diffuse: invalid values in result"" subregion = result[x1:x2, y1:y2] fibrosis_ratio = np.sum(subregion == 2) / subregion.size assert abs(fibrosis_ratio - density) < 0.01, ""Diffuse: fibrosis density mismatch"" def test_structural_fibrosis_2d(): shape = (1000, 1000) x1, x2 = 100, 900 y1, y2 = 200, 800 density = 0.4 length_i = 5 length_j = 4 random.seed(0) pattern = Structural2DPattern( density=density, length_i=length_i, length_j=length_j, x1=x1, x2=x2, y1=y1, y2=y2 ) result = pattern.generate(shape=shape) assert result.shape == shape, ""Structural: shape mismatch"" assert np.all(np.isin(result, [1, 2])), ""Structural: invalid values in result"" subregion = result[x1:x2, y1:y2] fibrosis_ratio = np.sum(subregion == 2) / subregion.size assert abs(fibrosis_ratio - density) < 0.05, ""Structural: fibrosis density mismatch""","Python" "Cell biology","finitewave/Finitewave","tests/test_trackers_3d.py",".py","10644","345","import os import shutil from pathlib import Path from tempfile import TemporaryDirectory import numpy as np import pytest import finitewave as fw @pytest.fixture def cable_model(): ni = 12 nj = 3 nk = 3 tissue = fw.CardiacTissue3D([ni, nj, nk]) stim_sequence = fw.StimSequence() stim_sequence.add_stim(fw.StimCurrentCoord3D(0, 5, 0.5, 0, 5, 0, nj, 0, nk)) model = fw.AlievPanfilov3D() model.dt = 0.01 model.dr = 0.25 model.t_max = 3 model.cardiac_tissue = tissue model.stim_sequence = stim_sequence return model @pytest.fixture def spiral_model(): ni = 100 nj = 100 nk = 3 tissue = fw.CardiacTissue3D([ni, nj, nk]) stim_sequence = fw.StimSequence() stim_sequence.add_stim(fw.StimVoltageCoord3D(0, 1, 0, ni, 0, 3, 0, nk)) stim_sequence.add_stim(fw.StimVoltageCoord3D(5, 1, 0, ni//2, 0, nj, 0, nk)) model = fw.Barkley3D() model.dt = 0.01 model.dr = 0.25 model.t_max = 20 model.cardiac_tissue = tissue model.stim_sequence = stim_sequence return model @pytest.fixture def planar_model(): ni = 50 nj = 5 nk = 3 tissue = fw.CardiacTissue3D([ni, nj, nk]) stim_sequence = fw.StimSequence() stim_sequence.add_stim(fw.StimCurrentCoord3D(5, 5, 0.5, 0, 5, 0, nj, 0, nk)) model = fw.AlievPanfilov3D() model.dt = 0.0015 model.dr = 0.25 model.t_max = 15 model.cardiac_tissue = tissue model.stim_sequence = stim_sequence return model @pytest.mark.action_potential_3d_tracker def test_action_potential_tracker(cable_model): tracker = fw.ActionPotential3DTracker() tracker.cell_ind = [10, 1, 1] tracker.step = 1 seq = fw.TrackerSequence() seq.add_tracker(tracker) cable_model.tracker_sequence = seq cable_model.t_max = 30 cable_model.run() u = tracker.output # Check if the output is not empty assert u is not None assert len(u) > 0 # Check if the Aliev-Panfilov model maximal amplitude is within expected range assert np.max(u) == pytest.approx(1.0, abs=0.02) threshold = 0.1 up_idx = np.where((u[:-1] < threshold) & (u[1:] >= threshold))[0] down_idx = np.where((u[:-1] > threshold) & (u[1:] <= threshold))[0] assert len(up_idx) > 0, ""Action potential upstroke not found"" assert len(down_idx) > 0, ""Action potential downstroke not found"" ap_start = up_idx[0] ap_end = down_idx[down_idx > ap_start][0] apd = (ap_end - ap_start) * cable_model.dt # without prebeats: assert 20 <= apd <= 30, f""APD90 is out of expected range {apd}"" @pytest.mark.animation_3d_tracker def test_animation_3d_tracker(spiral_model): tracker = fw.Animation3DTracker() tracker.variable_name = ""u"" tracker.dir_name = ""test_frames"" tracker.step = 100 # write every 100th step tracker.overwrite = True seq = fw.TrackerSequence() seq.add_tracker(tracker) spiral_model.tracker_sequence = seq spiral_model.run() # Check if the animation files are created assert os.path.exists(tracker.dir_name), ""Output directory was not created."" files = sorted(os.listdir(tracker.dir_name)) expected_frames = (spiral_model.t_max/spiral_model.dt) // tracker.step assert len(files) == expected_frames, f""Expected {expected_frames} frames, got {len(files)}"" # Check if the frames are not empty for fname in files: frame = np.load(os.path.join(tracker.dir_name, fname)) assert np.any(frame > 0), f""Frame {fname} appears to be empty."" shutil.rmtree(tracker.dir_name) @pytest.mark.activation_time_3d_tracker def test_activation_time_3d_tracker(cable_model): # TODO: # Edge cases: start time - end time, values rewriting (should not work) tracker = fw.ActivationTime3DTracker() tracker.threshold = 0.5 tracker.step = 1 tracker.start_time = 0 seq = fw.TrackerSequence() seq.add_tracker(tracker) cable_model.tracker_sequence = seq cable_model.run() ats = tracker.output # Check if the output is not empty assert ats is not None assert len(ats) > 0 assert np.any(~np.isnan(ats)), ""AT array is entirely NaN"" # Check if the wavefront speed (distance/activation time) value is within expected range speed = 5*cable_model.dr/ats[10, 1, 1] # 5 - number of nodes on the way assert 1.5 <= speed <= 2, f""Wavefront speed is out of expected range {speed}"" @pytest.mark.local_activation_time_3d_tracker def test_local_activation_time_3d_tracker(cable_model): tracker = fw.LocalActivationTime3DTracker() tracker.threshold = 0.5 tracker.step = 1 tracker.start_time = 0 seq = fw.TrackerSequence() seq.add_tracker(tracker) cable_model.tracker_sequence = seq cable_model.stim_sequence.add_stim(fw.StimVoltageCoord3D(45, 1, 0, 5, 0, 10, 0, 3)) cable_model.t_max = 50 cable_model.run() lats = tracker.output # Check if the output is not empty assert lats is not None assert len(lats) > 0 assert np.any(~np.isnan(lats)), ""LAT array is entirely NaN"" # Values at the center cell should have two LAT values assert len(lats) == 2, ""Every cell should have two LAT values"" LAT1, LAT2 = lats[:, 10, 1, 1] # Check if the wavefront speed (distance/activation time) values are within expected range assert LAT1 < LAT2, ""LAT values should be in ascending order"" speed_1 = 5*cable_model.dr/LAT1 # 5 - number of nodes on the way speed_2 = 5*cable_model.dr/(LAT2 - 45) # 45 - second wave start time assert 1.5 <= speed_1 <= 2, f""Wavefront speed for the first wave is out of expected range {speed_1}"" assert 1.5 <= speed_2 <= 2, f""Wavefront speed for the second wave is out of expected range {speed_2}"" @pytest.mark.activation_time_3d_tracker def test_multi_variable_3d_tracker(cable_model): tracker = fw.MultiVariable3DTracker() tracker.cell_ind = [10, 1, 1] tracker.var_list = [""v""] seq = fw.TrackerSequence() seq.add_tracker(tracker) cable_model.tracker_sequence = seq cable_model.t_max = 30 cable_model.run() v = tracker.output[""v""] # Check if the output is not empty assert v is not None assert len(v) > 0 # Check if the Aliev-Panfilov model 'v' maximal amplitude is within expected range assert np.max(v) == pytest.approx(2, abs=0.1) @pytest.mark.spiral_wave_core_3d_tracker def test_spiral_wave_core_3d_tracker(spiral_model): tracker = fw.SpiralWaveCore3DTracker() tracker.threshold = 0.5 tracker.start_time = 12 tracker.step = 10 # Record the spiral wave core every 10 step seq = fw.TrackerSequence() seq.add_tracker(tracker) spiral_model.tracker_sequence = seq spiral_model.run() sw_core = tracker.output x, y, z = sw_core['x'], sw_core['y'], sw_core['z'] # Check if the output is not empty assert x is not None assert y is not None assert z is not None assert len(x) > 0 assert len(y) > 0 assert len(z) > 0 # Check if the spiral wave core is within expected range assert np.min(x) >= 32 assert np.max(x) <= 38 assert np.min(y) >= 47 assert np.max(y) <= 53 assert np.min(z) >= 0 assert np.max(z) <= 2 @pytest.mark.spiral_wave_period_3d_tracker def test_spiral_wave_period_3d_tracker(spiral_model): tracker = fw.Period3DTracker() # Here we create an int array of detectors as a list of positions in which we want to calculate the period. positions = np.array([[80, 80, 1], [20, 70, 1], [40, 10, 1], [25, 90, 1]]) tracker.cell_ind = positions tracker.threshold = 0.5 tracker.start_time = 10 tracker.step = 10 seq = fw.TrackerSequence() seq.add_tracker(tracker) spiral_model.tracker_sequence = seq spiral_model.run() periods = tracker.output period_mean = np.mean(np.array([np.mean(x) if len(x) > 0 else np.nan for x in periods])) # Check if the output is not empty assert periods is not None assert len(periods) > 0 # Check if the spiral wave period is within expected range assert period_mean == pytest.approx(3.5, abs=0.2) @pytest.mark.ecg_3d_tracker def test_ecg_3d_tracker(planar_model): tracker = fw.ECG3DTracker() tracker.start_time = 0 tracker.step = 10 tracker.measure_coords = np.array([[25, 2, 1]]) seq = fw.TrackerSequence() seq.add_tracker(tracker) planar_model.tracker_sequence = seq planar_model.run() ecg = tracker.output.T[0] assert ecg.max() > 0.001 assert ecg.min() < -0.001 assert np.argmax(ecg) > 100 # Check if the peak occurs not at the beginning def test_animation_slice_3d_tracker(): class MockModel: def __init__(self): self.V = np.random.rand(5, 5, 5) self.cardiac_tissue = type(""Tissue"", (), {})() self.cardiac_tissue.mesh = np.ones((5, 5, 5), dtype=np.int8) tracker = fw.AnimationSlice3DTracker() tracker.variable_name = 'V' tracker.slice_z = 2 # only one of slice_x, slice_y, slice_z must be set tracker.dir_name = ""test_frames"" tracker.file_name = ""test_animation"" with TemporaryDirectory() as tmpdir: tracker.path = tmpdir model = MockModel() tracker.initialize(model) for _ in range(3): tracker._track() output_dir = Path(tmpdir) / ""test_frames"" files = sorted(output_dir.glob(""*.npy"")) assert len(files) == 3, ""Should create exactly 3 frame files"" for file in files: frame = np.load(file) assert frame.shape == (5, 5), ""Each frame should have shape (5, 5)"" assert frame.dtype == np.float32 or frame.dtype == np.float64 def test_period_animation_3d_tracker(spiral_model): tracker = fw.PeriodAnimation3DTracker() tracker.dir_name = ""test_frames"" tracker.threshold = 0.5 tracker.step = 100 # write every 100th step tracker.overwrite = True seq = fw.TrackerSequence() seq.add_tracker(tracker) spiral_model.tracker_sequence = seq spiral_model.run() # Check if the animation files are created assert os.path.exists(tracker.dir_name), ""Output directory was not created."" files = sorted(os.listdir(tracker.dir_name)) expected_frames = (spiral_model.t_max/spiral_model.dt) // tracker.step assert len(files) == expected_frames, f""Expected {expected_frames} frames, got {len(files)}"" # Check if the frames are not empty frame = np.load(os.path.join(tracker.dir_name, files[-1])) assert np.any(frame > 0), f""Frame {frame} appears to be empty."" shutil.rmtree(tracker.dir_name) ","Python"