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Utilice este identificador para citar o enlazar este documento: https://ria.asturias.es/RIA/handle/123456789/13945


Título: Bifurcations and Slow-Fast Analysis in a Cardiac Cell Model for Investigation of Early Afterdepolarizations.
Autores: Barrio Gil, Roberto
Martínez Carballo, María de los Ángeles
Pérez Pérez, Lucía
Palabras Claves: Matemática aplicada
Dinámica cardíaca
Fecha Edición: 2020
Editor: MDPI
Cita Bibliográfica: Barrio, R.; Martínez, M.A.; Pérez, L.; Pueyo, E. Bifurcations and Slow-Fast Analysis in a Cardiac Cell Model for Investigation of Early Afterdepolarizations.Mathematics 2020, 8, 880.
Resumen: n 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.
URI: https://ria.asturias.es/RIA/handle/123456789/13945
Aparece en las Colecciones:Matemáticas

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