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.

中文翻译：

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分叉和慢速分析在心脏细胞模型中研究早期的去极化作用

在这项研究中，我们提出了在哺乳动物心室细胞的三变量模型中，导致心律失常的早期去极化（EAD）产生的动力学机制。基于最近发表的研究，我们考虑了描述细胞动作电位的系统的1个快速，2个缓慢的变量分解。我们使用诸如尖峰计数法，分叉和连续法之类的扫描技术来识别具有EAD的参数区域。我们展示了组织不同EAD模式的周期性轨道的等距线的存在，并且根据所涉及的动力学现象为快慢分解提供了初步分类。这项研究为进一步研究参数空间中EAD模式的组织和所涉及的分叉奠定了基础。