Bifurcations and Slow-Fast Analysis in a Cardiac Cell Model for Investigation of Early Afterdepolarizations

Roberto Barrio, M. Angeles Martínez, Lucía Pérez and Esther Pueyo
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Roberto Barrio: IUMA and Departamento Matemática Aplicada, University of Zaragoza, E-50009 Zaragoza, Spain
M. Angeles Martínez: IUMA and Departamento Matemática Aplicada, University of Zaragoza, E-50009 Zaragoza, Spain
Lucía Pérez: Departamento Matemáticas, University of Oviedo, E-33007 Oviedo, Spain
Esther Pueyo: I3A, University of Zaragoza, IIS Aragón and CIBER-BBN, E-50018 Zaragoza, Spain

Mathematics, 2020, vol. 8, issue 6, 1-17

Abstract: 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.

Keywords: cardiac dynamics; early afterdepolarizations (EADs); bifurcations; isolas; fast–slow decomposition (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
References: View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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