ORIGINAL RESEARCH article
Front. Phys.
Sec. Statistical and Computational Physics
Volume 13 - 2025 | doi: 10.3389/fphy.2025.1569121
Cardiac dynamics of a human ventricular tissue model with focus on early afterdepolarizations
Provisionally accepted
- Weierstrass Institute for Applied Analysis and Stochastics (LG), Berlin, Germany
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The paper is aimed to investigate computationally complex cardiac dynamics of the famous human ventricular model of ten Tusscher and Panfilov from 2006. The corresponding physical system of the cellular model is described by a set of nonlinear differential equations containing various system parameters. In case one or a set of specific system parameter crosses a certain threshold, the system is forced to change dynamics, which might result in dangerous cardiac dynamics and can be precursors to cardiac death. For the performance of an efficient numerical analysis the original model is remodeled and simplified in such a way that the modified models perfectly matches the trajectory (time-dependent cardiac potential) of the original model. Moreover, it is demonstrated that the reduced models have the same dynamics. Furthermore, using the lowest dimensional model it is shown by means of bifurcation analysis that combinations of reduced slow and rapid potassium currents and enhanced calcium current may lead to early afterdepolarizations, which are pathological voltage oscillations during the repolarization or plateau phase of cardiac action potentials and are considered as potential precursors of cardiac arrhythmia. Finally, to outline synchronization effects and pattern formation on larger scale (macro scale) a two dimensional epicardial monodomain equation is studied.
Keywords: Cardiac dynamics, early afterdepolarization, model reduction, Bifurcations analysis, Monodomain equation, pattern formation Mathematics Subject Classification: 92B25, 92C05, 37G15
Received: 31 Jan 2025; Accepted: 13 May 2025.
Copyright: © 2025 Erhardt. This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) or licensor are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.
* Correspondence: André H. Erhardt, Weierstrass Institute for Applied Analysis and Stochastics (LG), Berlin, Germany
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