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

Barrio, R. (Universidad de Zaragoza) ; Martinez, M.A. (Universidad de Zaragoza) ; Perez, L. ; Pueyo, E. (Universidad de Zaragoza)

Resumen: 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.

Idioma: Inglés

DOI: 10.3390/math8060880

Año: 2020

Publicado en: Mathematics 8, 6 (2020), 880 [17 pp]
ISSN: 2227-7390

Factor impacto JCR: 2.258 (2020)

Categ. JCR: MATHEMATICS rank: 24 / 330 = 0.073 (2020) - Q1 - T1

Factor impacto SCIMAGO: 0.495 - Mathematics (miscellaneous) (Q2)

Financiación: info:eu-repo/grantAgreement/ES/DGA-FEDER/E24-17R
Financiación: info:eu-repo/grantAgreement/ES/DGA-FEDER/T39-17R-BSICoS
Financiación: info:eu-repo/grantAgreement/ES/DGA/LMP124-18
Financiación: info:eu-repo/grantAgreement/EC/H2020/638284/EU/Is your heart aging well? A systems biology approach to characterize cardiac aging from the cell to the body surface/MODELAGE
Financiación: info:eu-repo/grantAgreement/ES/MINECO-FEDER/DPI2016-75458-R
Financiación: info:eu-repo/grantAgreement/ES/MINECO-FEDER/MTM2017-87697-P
Financiación: info:eu-repo/grantAgreement/ES/MINECO-FEDER/PGC2018-096026-B-I00
Financiación: info:eu-repo/grantAgreement/ES/UZ/CUD2019-CIE-04

Tipo y forma: Article (Published version)

Área (Departamento): Área Matemática Aplicada (Dpto. Matemática Aplicada)
Área (Departamento): Área Teoría Señal y Comunicac. (Dpto. Ingeniería Electrón.Com.)