"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"": {
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"",
""text/plain"": [
""""
]
},
""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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"",
""text/plain"": [
""""
]
},
""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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"",
""text/plain"": [
""""
]
},
""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"": {
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"",
""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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""text/plain"": [
""""
]
},
""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"