COUDIÈRE, Yves; HENRY, Jacques; LABARTHE, Simon

doi:10.1007/s00285-015-0861-8

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Licence d’utilisation du document

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

HENRY, Jacques
Modélisation et calculs pour l'électrophysiologie cardiaque [CARMEN]
Institut de Mathématiques de Bordeaux [IMB]

LABARTHE, Simon
Modélisation et calculs pour l'électrophysiologie cardiaque [CARMEN]
Institut de Mathématiques de Bordeaux [IMB]

Langue

Article de revue

Ce document a été publié dans

Journal of Mathematical Biology. 2015-03-18, vol. 71, n° 6-7, p. 35

Springer

Résumé en anglais

Numerical simulations of the cardiac electrophysiology in the atria are often based on the standard bidomain or monodomain equations stated on a two-dimensional manifold. These simulations take advantage of the thinness of the atrial tissue, and their computational cost is reduced, as compared to three-dimensional simulations. However, these models do not take into account the heterogeneities located in the thickness of the tissue, like dis-continuities of the fibre direction, although they can be a substrate for atrial arrhythmia [Hocini et al., 2002, Ho et al., 2002, Nattel, 2002]. We investigate a two-dimensional model with two coupled, superimposed layers that allows to introduce three-dimensional heterogeneities, but retains a reasonable computational cost. We introduce the mathematical derivation of this model and error estimates with respect to the three-dimensional model. We give some numerical illustrations of its interest: we numerically show its convergence for vanishing thickness, introduce an optimization process of the coupling coefficient and assess its validity on physiologically relevant geometries. Our model would be an efficient tool to test the influence of three-dimensional fibre direction heterogeneities in reentries or atrial arrhythmia without using three-dimensional models.< Réduire

Mots clés en anglais

Surface model

Atrial model

Asymptotic analysis

Cardiac modeling

URI

https://oskar-bordeaux.fr/handle/20.500.12278/194446

DOI

http://dx.doi.org/10.1007/s00285-015-0861-8

Project ANR

Modèles numériques haute résolution de l'électrophysiologie cardiaque - ANR-13-MONU-0004
L'Institut de Rythmologie et modélisation Cardiaque - ANR-10-IAHU-0004

Origine

Importé de hal

Unités de recherche

Institut de Mathématiques de Bordeaux (IMB) - UMR 5251