Bifurcations and Slow-Fast Analysis in a Cardiac Cell Model for Investigation of Early Afterdepolarizations
Bifurcations and Slow-Fast Analysis in a Cardiac Cell Model for Investigation of Early Afterdepolarizations
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DOI：
10.3390/math8060880
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发表时间：
2020-06-01
期刊：
影响因子：
2.4
通讯作者：
Pueyo, Esther
中科院分区：
文献类型：
--
作者：
Barrio, Roberto;Angeles Martinez, M.;Pueyo, Esther
在这项研究中，我们梳理了哺乳动物心室细胞的三变量模型中的致心律失常的早期后去极化（埃兹）的产生的动力学机制。基于最近发表的研究，我们考虑一个1-快，2-慢变量分解的系统描述细胞动作电位。我们使用扫描技术，如尖峰计数法，分叉和延续的方法来确定参数区域与埃兹。我们发现存在的孤立的周期轨道组织不同的EAD模式，我们提供了一个初步的分类，我们的快慢分解根据所涉及的动力学现象。这项调查代表了进一步研究的基础上，在参数空间和所涉及的分叉的EAD模式的组织。
In this study, we teased out the dynamical mechanisms underlying the generation of arrhythmogenic early afterdepolarizations (EADs) in a three-variable model of a mammalian ventricular cell. Based on recently published studies, we consider a 1-fast, 2-slow variable decomposition of the system describing the cellular action potential. We use sweeping techniques, such as the spike-counting method, and bifurcation and continuation methods to identify parametric regions with EADs. We show the existence of isolas of periodic orbits organizing the different EAD patterns and we provide a preliminary classification of our fast-slow decomposition according to the involved dynamical phenomena. This investigation represents a basis for further studies into the organization of EAD patterns in the parameter space and the involved bifurcations.