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

Keywords

High Performance Computing
Advanced Numerical Methods for Scientific Computing
Computational Medicine for the Cardiocirculatory System
Living Systems and Precision Medicine
Code:
106/2024
Title:
Coupled Eikonal problems to model cardiac reentries in Purkinje network and myocardium
Date:
Wednesday 18th December 2024
Author(s):
Brunati, S.; Bucelli, M.; Piersanti, R.; Dede', L.; Vergara, C.
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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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