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Poster communications

Modelling cardiac electrophysiology with structural heterogeneities and dynamical gap junctions

Anđela Davidović 1, 2, 3, 4 Yves Coudière 1, 2, 3, 4 Clair Poignard 3, 5 Thomas Desplantez 2, 4
1 CARMEN - Modélisation et calculs pour l'électrophysiologie cardiaque
IHU-LIRYC, IMB - Institut de Mathématiques de Bordeaux, Inria Bordeaux - Sud-Ouest
5 MONC - Modélisation Mathématique pour l'Oncologie
IMB - Institut de Mathématiques de Bordeaux, Institut Bergonié [Bordeaux], Inria Bordeaux - Sud-Ouest
Abstract : Bidomain equations are the standard way to model the electric potential in cardiac tissue. We propose the modification of this model for the case of the diseased heart, e.g. fibrosis of the heart tissue. On microscale, we assume to have periodic diffusive inclusions embedded in the healthy tissue modelled by the bidomain equations. We derive the macroscale model using the homogenisation technique. We recover a bidomain model with modified conductivities, that depend on the volume fraction of the diffusive inclusions but also on their geometries.
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Poster communications
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https://hal.inria.fr/hal-01418697
Contributor : Andjela Davidovic <>
Submitted on : Friday, December 16, 2016 - 7:05:28 PM
Last modification on : Tuesday, December 8, 2020 - 9:48:17 AM
Long-term archiving on: : Tuesday, March 21, 2017 - 2:18:56 AM

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Anđela Davidović, Yves Coudière, Clair Poignard, Thomas Desplantez. Modelling cardiac electrophysiology with structural heterogeneities and dynamical gap junctions. 2015 SIAM Conference on Computational Science and Engineering, Mar 2015, Salt Lake City, United States. ⟨hal-01418697⟩

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