Modified bidomain model with passive periodic heterogeneities
| hal.structure.identifier | Modélisation et calculs pour l'électrophysiologie cardiaque [CARMEN] | |
| hal.structure.identifier | Université de Bordeaux [UB] | |
| hal.structure.identifier | IHU-LIRYC | |
| dc.contributor.author | COUDIÈRE, Yves | |
| hal.structure.identifier | Modélisation et calculs pour l'électrophysiologie cardiaque [CARMEN] | |
| hal.structure.identifier | Université de Bordeaux [UB] | |
| hal.structure.identifier | IHU-LIRYC | |
| hal.structure.identifier | Département de Biologie Computationnelle - Department of Computational Biology | |
| dc.contributor.author | DAVIDOVIĆ, Anđela | |
| hal.structure.identifier | Modélisation Mathématique pour l'Oncologie [MONC] | |
| hal.structure.identifier | Université de Bordeaux [UB] | |
| dc.contributor.author | POIGNARD, Clair | |
| dc.date.accessioned | 2024-04-04T02:59:09Z | |
| dc.date.available | 2024-04-04T02:59:09Z | |
| dc.date.issued | 2019-10-12 | |
| dc.identifier.issn | 1937-1632 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/192720 | |
| dc.description.abstractEn | In this paper we study how mesoscopic heterogeneities affect electrical signal propagation in cardiac tissue. The standard model used in cardiac electrophysiology is a bidomain model-a system of degenerate parabolic PDEs, coupled with a set of ODEs, representing the ionic behviour of the cardiac cells. We assume that the heterogeneities in the tissue are periodically distributed diffusive regions, that are significantly larger than a cardiac cell. These regions represent the fibrotic tissue, collagen or fat, that is electrically passive. We give a mathematical setting of the model. Using semigroup theory we prove that such model has a uniformly bounded solution. Finally, we use two-scale convergence to find the limit problem that represents the average behviour of the electrical signal in this setting. | |
| dc.description.sponsorship | Modèles numériques haute résolution de l'électrophysiologie cardiaque - ANR-13-MONU-0004 | |
| dc.description.sponsorship | L'Institut de Rythmologie et modélisation Cardiaque - ANR-10-IAHU-0004 | |
| dc.language.iso | en | |
| dc.publisher | American Institute of Mathematical Sciences | |
| dc.subject.en | Cardiac electrophysiology | |
| dc.subject.en | Semigroup theory | |
| dc.subject.en | Bido-main model | |
| dc.subject.en | Homogenisation in periodic media | |
| dc.subject.en | Degenerate parabolic systems | |
| dc.subject.en | Structural heterogeneities | |
| dc.title.en | Modified bidomain model with passive periodic heterogeneities | |
| dc.type | Article de revue | |
| dc.identifier.doi | 10.3934/dcdss.2020126 | |
| dc.subject.hal | Mathématiques [math]/Equations aux dérivées partielles [math.AP] | |
| bordeaux.journal | Discrete and Continuous Dynamical Systems - Series S | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-02363470 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-02363470v1 | |
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