Mathematical analysis and 2-scale convergence of a heterogeneous microscopic bidomain model
| hal.structure.identifier | Modélisation Mathématique pour l'Oncologie [MONC] | |
| dc.contributor.author | COLLIN, Annabelle | |
| hal.structure.identifier | Mathematical and Mechanical Modeling with Data Interaction in Simulations for Medicine [M3DISIM] | |
| hal.structure.identifier | Université Paris-Saclay | |
| dc.contributor.author | IMPERIALE, Sébastien | |
| dc.date.accessioned | 2024-04-04T03:06:20Z | |
| dc.date.available | 2024-04-04T03:06:20Z | |
| dc.date.issued | 2018 | |
| dc.identifier.issn | 0218-2025 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/193326 | |
| dc.description.abstractEn | The aim of this paper is to provide a complete mathematical analysis of the periodic homogenization procedure that leads to the macroscopic bidomain model in cardiac elec-trophysiology. We consider space-dependent and tensorial electric conductivities as well as space-dependent physiological and phenomenological non-linear ionic models. We provide the nondimensionalization of the bidomain equations and derive uniform estimates of the solutions. The homogenization procedure is done using 2-scale convergence theory which enables us to study the behavior of the non-linear ionic models in the homogenization process . | |
| dc.language.iso | en | |
| dc.publisher | World Scientific Publishing | |
| dc.title.en | Mathematical analysis and 2-scale convergence of a heterogeneous microscopic bidomain model | |
| dc.type | Article de revue | |
| dc.identifier.doi | 10.1142/S0218202518500264 | |
| dc.subject.hal | Mathématiques [math]/Physique mathématique [math-ph] | |
| bordeaux.journal | Mathematical Models and Methods in Applied Sciences | |
| 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-01759914 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-01759914v1 | |
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