{"title":"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。","authors":"Timothy J Tyree, Michael Reiss, Wouter-Jan Rappel","doi":"10.1063/5.0277113","DOIUrl":null,"url":null,"abstract":"<p><p>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.</p>","PeriodicalId":9974,"journal":{"name":"Chaos","volume":"35 9","pages":""},"PeriodicalIF":3.2000,"publicationDate":"2025-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Particle model of creation and annihilation captures termination dynamics of spiral defect chaos.\",\"authors\":\"Timothy J Tyree, Michael Reiss, Wouter-Jan Rappel\",\"doi\":\"10.1063/5.0277113\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p><p>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.</p>\",\"PeriodicalId\":9974,\"journal\":{\"name\":\"Chaos\",\"volume\":\"35 9\",\"pages\":\"\"},\"PeriodicalIF\":3.2000,\"publicationDate\":\"2025-09-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Chaos\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.1063/5.0277113\",\"RegionNum\":2,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"MATHEMATICS, APPLIED\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Chaos","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1063/5.0277113","RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}
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.
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.