COUDIÈRE, Yves; DAVIDOVIĆ, Anđela; POIGNARD, Clair

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COUDIÈRE, Yves
Modélisation et calculs pour l'électrophysiologie cardiaque [CARMEN]
Institut de Mathématiques de Bordeaux [IMB]
IHU-LIRYC

DAVIDOVIĆ, Anđela
Modélisation et calculs pour l'électrophysiologie cardiaque [CARMEN]
Institut de Mathématiques de Bordeaux [IMB]
IHU-LIRYC

POIGNARD, Clair
Modélisation, contrôle et calcul [MC2]
Institut de Mathématiques de Bordeaux [IMB]

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Autre communication scientifique (congrès sans actes - poster - séminaire...)

Ce document a été publié dans

From the Clinic to Partial Differential Equations and Back: Emerging challenges for Cardiovascular Mathematics, 2014-01-20, Providence, Rhode Island. 2014-01-20

Résumé en anglais

We present a new mathematical model of the electric activity of the heart. In the standard bidomainmodel we can distinguish the intra- and the extracellular space with different conductivities for excitablecells and the fibrotic tissue around them. The main drawback is that it assumes the existence of excitablecells everywhere in the heart, while it is known that there exist non small regions where fibroblasts takeplace. The fibroblasts are equally distributed and since they are non excitable cells, they can beconsidered as a diffusive part. Hence we extend the standard bidomain model as follows: we assumethat we have periodic alternation of the healthy tissue (linear bidomain model) and fibrotic extracellularspace (diffusive part). We use homogenisation techniques to derive our macroscopic partial differentialequations. Interestingly, we obtain again a bidomain type model with modified conductivities thatinvolve the volume fraction of the diffusive domain. Preliminary numerical experiments will concludeon the influence of these diffusive inclusions.< Réduire

Mots clés en anglais

Cardiac Electrophysiology Modeling

Homogenisation

Bidomain model

Origine

Importé de hal

Unités de recherche

Institut de Mathématiques de Bordeaux (IMB) - UMR 5251