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| Main Authors: | , , , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2412.13837 |
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| _version_ | 1866912160726122496 |
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| author | Brunati, Samuele Bucelli, Michele Piersanti, Roberto Dede', Luca Vergara, Christian |
| author_facet | Brunati, Samuele Bucelli, Michele Piersanti, Roberto Dede', Luca Vergara, Christian |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_13837 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Coupled Eikonal problems to model cardiac reentries in Purkinje network and myocardium Brunati, Samuele Bucelli, Michele Piersanti, Roberto Dede', Luca Vergara, Christian Numerical Analysis 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. |
| title | Coupled Eikonal problems to model cardiac reentries in Purkinje network and myocardium |
| topic | Numerical Analysis |
| url | https://arxiv.org/abs/2412.13837 |