Microscopic Tridomain Model of Electrical Activity in the Heart with Dynamical Gap Junctions. Part 1 – Modeling and Well-Posedness
| hal.structure.identifier | Mathématiques, Image et Applications - EA 3165 [MIA] | |
| dc.contributor.author | BADER, Fakhrielddine | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| hal.structure.identifier | Modélisation et calculs pour l'électrophysiologie cardiaque [CARMEN] | |
| dc.contributor.author | BENDAHMANE, Mostafa | |
| hal.structure.identifier | Laboratoire de Mathématiques Jean Leray [LMJL] | |
| dc.contributor.author | SAAD, Mazen | |
| hal.structure.identifier | Ecole Doctorale des Sciences et de la Technologie [EDST] | |
| dc.contributor.author | TALHOUK, Raafat | |
| dc.date.accessioned | 2024-04-04T02:41:17Z | |
| dc.date.available | 2024-04-04T02:41:17Z | |
| dc.date.issued | 2022-06 | |
| dc.identifier.issn | 0167-8019 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/191138 | |
| dc.description.abstractEn | We present a novel microscopic tridomain model describing the electrical activity in cardiac tissue with dynamical gap junctions. The microscopic tridomain system consists of three PDEs modeling the tissue electrical conduction in the intra-and extra-cellular domains, supplemented by a nonlinear ODE system for the dynamics of the ion channels and the gap junctions. We establish the global existence and uniqueness of the weak solutions to our microscopic tridomain model. The global existence of solution, which constitutes the main result of this paper, is proved by means of an approximate non-degenerate system, the Faedo-Galerkin method, and an appropriate compactness argument. | |
| dc.description.sponsorship | Centre de Mathématiques Henri Lebesgue : fondements, interactions, applications et Formation - ANR-11-LABX-0020 | |
| dc.language.iso | en | |
| dc.publisher | Springer Verlag | |
| dc.subject.en | Tridomain model | |
| dc.subject.en | Global existence | |
| dc.subject.en | Uniqueness | |
| dc.subject.en | Weak solution | |
| dc.subject.en | Gap junctions | |
| dc.subject.en | Cardiac electro-physiology | |
| dc.title.en | Microscopic Tridomain Model of Electrical Activity in the Heart with Dynamical Gap Junctions. Part 1 – Modeling and Well-Posedness | |
| dc.type | Article de revue | |
| dc.identifier.doi | 10.1007/s10440-022-00498-7 | |
| dc.subject.hal | Mathématiques [math]/Equations aux dérivées partielles [math.AP] | |
| dc.identifier.arxiv | 2205.15605 | |
| bordeaux.journal | Acta Applicandae Mathematicae | |
| bordeaux.volume | 179 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.issue | 11 | |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-03682214 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-03682214v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Acta%20Applicandae%20Mathematicae&rft.date=2022-06&rft.volume=179&rft.issue=11&rft.eissn=0167-8019&rft.issn=0167-8019&rft.au=BADER,%20Fakhrielddine&BENDAHMANE,%20Mostafa&SAAD,%20Mazen&TALHOUK,%20Raafat&rft.genre=article |
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