Annihilation dynamics during spiral defect chaos revealed by particle models

Publication Date

5-1-2024

Document Type

Article

Publication Title

Chaos

Volume

34

Issue

5

DOI

10.1063/5.0203319

Abstract

Pair-annihilation events are ubiquitous in a variety of spatially extended systems and are often studied using computationally expensive simulations. Here, we develop an approach in which we simulate the pair-annihilation of spiral wave tips in cardiac models using a computationally efficient particle model. Spiral wave tips are represented as particles with dynamics governed by diffusive behavior and short-ranged attraction. The parameters for diffusion and attraction are obtained by comparing particle motion to the trajectories of spiral wave tips in cardiac models during spiral defect chaos. The particle model reproduces the annihilation rates of the cardiac models and can determine the statistics of spiral wave dynamics, including its mean termination time. We show that increasing the attraction coefficient sharply decreases the mean termination time, making it a possible target for pharmaceutical intervention.

Funding Number

HL149134

Funding Sponsor

National Institutes of Health

Department

Mathematics and Statistics

Link to Full Text

Share

COinS