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arXiv · 2412.13837

Coupled Eikonal problems to model cardiac reentries in Purkinje network and myocardium

Samuele Brunati·Michele Bucelli·Roberto Piersanti·Luca Dede'·Christian Vergara
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Abstract

We propose a novel partitioned scheme based on Eikonal equations to model the coupled propagation of the electrical signal in the His-Purkinje system and in the myocardium for cardiac electrophysiology. This scheme allows, for the first time in Eikonal-based modeling, to capture all possible signal reentries between the Purkinje network and the cardiac muscle that may occur under pathological conditions. As part of the proposed scheme, we introduce a new pseudo-time method for the Eikonal-diffusion problem in the myocardium, to correctly enforce electrical stimuli coming from the Purkinje network. We test our approach by performing numerical simulations of cardiac electrophysiology in a real biventricular geometry, under both pathological and therapeutic conditions, to demonstrate its flexibility, robustness, and accuracy.

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Samuele Brunati, Michele Bucelli, Roberto Piersanti, Luca Dede', Christian Vergara. 2024-12-18. Coupled Eikonal problems to model cardiac reentries in Purkinje network and myocardium. https://arxiv.org/abs/2412.13837

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