产生和湮灭的粒子模型捕捉了螺旋缺陷混沌的终止动力学。

IF 3.2 2区 数学 Q1 MATHEMATICS, APPLIED
Chaos Pub Date : 2025-09-01 DOI:10.1063/5.0277113
Timothy J Tyree, Michael Reiss, Wouter-Jan Rappel
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引用次数: 0

摘要

可兴奋介质,包括心脏组织,可以表现出螺旋缺陷混沌(SDC),在此期间螺旋波不断产生和湮灭。模拟这种行为通常需要求解大规模的反应扩散系统,这限制了计算的可行性,特别是对于更大的模型域。为了解决这个问题,我们之前开发了一个粒子模型,能够通过短程吸引和扩散复制螺旋波湮灭。在这项研究中,我们扩展了该模型,通过引入新形成的粒子对之间的短暂排斥相互作用来捕获螺旋波的产生。我们的扩展模型准确地再现了心脏模拟中SDC的终止统计数据,包括平均终止时间,以更低的计算成本提供了SDC动力学的简化而忠实的描述。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Particle model of creation and annihilation captures termination dynamics of spiral defect chaos.

Excitable media, including a cardiac tissue, can exhibit spiral defect chaos (SDC), during which spiral waves are continuously created and annihilated. Simulating this behavior typically requires solving large-scale reaction-diffusion systems, limiting computational feasibility especially for larger model domains. To address this, we have previously developed a particle model that was capable of replicating spiral-wave annihilation via short-range attraction and diffusion. In this study, we extend that model to capture spiral-wave creation by introducing a short-lived repulsive interaction between newly formed particle pairs. Our extended model accurately reproduces the termination statistics of SDC in cardiac simulations, including mean termination time, offering a simplified yet faithful description of SDC dynamics at much lesser computational cost.

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来源期刊
Chaos
Chaos 物理-物理:数学物理
CiteScore
5.20
自引率
13.80%
发文量
448
审稿时长
2.3 months
期刊介绍: Chaos: An Interdisciplinary Journal of Nonlinear Science is a peer-reviewed journal devoted to increasing the understanding of nonlinear phenomena and describing the manifestations in a manner comprehensible to researchers from a broad spectrum of disciplines.
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