Key result
Dynamical analysis of a mammalian ventricular cell model identified parametric regions with early afterdepolarizations and isolas of periodic orbits organizing different EAD patterns.
Why the study?
The dynamical mechanisms underlying the generation of arrhythmogenic early afterdepolarizations in ventricular cells needed to be determined.
This computational study provides a mathematical framework using fast-slow decomposition to understand the dynamical mechanisms generating arrhythmogenic early afterdepolarizations in mammalian ventricular cells.
Answers are grounded in this paper and cite their sources.
Model delineates EAD-prone parameter regions; leaves open experimental validation before clinical relevance.
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.
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Barrio et al. (2020) studied Early afterdepolarizations. Mathematical modeling (1-fast, 2-slow variable decomposition) was evaluated on Parametric regions with EADs. Dynamical analysis of a mammalian ventricular cell model identified parametric regions with early afterdepolarizations and isolas of periodic orbits organizing different EAD patterns.
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