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Annihilation dynamics during spiral defect chaos revealed by particle models
Timothy J Tyree1, Patrick Murphy2, Wouter-Jan Rappel1
1Department of Physics, University of California San Diego, San Diego, California 92093, USA.
Chaos (Woodbury, N.Y.)
|May 24, 2024
Summary
We developed an efficient particle model to simulate spiral wave tip annihilation in cardiac models. This model accurately predicts annihilation rates and termination times, identifying attraction as a key factor for pharmaceutical intervention.
Area of Science:
- Computational physics
- Cardiac electrophysiology
- Nonlinear dynamics
Background:
- Pair-annihilation events are common in extended systems, often requiring costly simulations.
- Spiral wave dynamics in cardiac models are complex and computationally intensive to study.
Purpose of the Study:
- To develop a computationally efficient particle model for simulating spiral wave tip annihilation.
- To accurately reproduce cardiac model dynamics and termination statistics using the particle model.
Main Methods:
- Representing spiral wave tips as particles with diffusive and attractive dynamics.
- Calibrating particle model parameters against spiral wave tip trajectories in cardiac models during spiral defect chaos.
- Comparing annihilation rates and termination time statistics between the particle and cardiac models.
Main Results:
- The particle model successfully reproduces annihilation rates and spiral wave dynamics from cardiac models.
- Mean termination time is accurately determined by the particle model.
- Increasing the attraction coefficient significantly reduces mean termination time.
Conclusions:
- The particle model offers a computationally efficient alternative for studying spiral wave tip annihilation.
- Spiral wave tip attraction is a critical parameter influencing termination time, suggesting potential for pharmaceutical intervention in cardiac arrhythmias.
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