Mostrar el registro sencillo del ítem
Ionic parameters identification of an inverse problem of strongly coupled PDE's system in cardiac electrophysiology using Carleman estimates
hal.structure.identifier | Laboratoire de Modélisation Mathématique et Numérique dans les Sciences de l'Ingénieur [Tunis] [LR-LAMSIN-ENIT] | |
dc.contributor.author | ABIDI, Yassine | |
hal.structure.identifier | Laboratoire de Modélisation Mathématique et Numérique dans les Sciences de l'Ingénieur [Tunis] [LR-LAMSIN-ENIT] | |
dc.contributor.author | BELLASSOUED, Mourad | |
hal.structure.identifier | Laboratoire de Modélisation Mathématique et Numérique dans les Sciences de l'Ingénieur [Tunis] [LR-LAMSIN-ENIT] | |
dc.contributor.author | MAHJOUB, Moncef | |
hal.structure.identifier | Modélisation et calculs pour l'électrophysiologie cardiaque [CARMEN] | |
dc.contributor.author | ZEMZEMI, Nejib | |
dc.date.accessioned | 2024-04-04T03:04:13Z | |
dc.date.available | 2024-04-04T03:04:13Z | |
dc.date.issued | 2019-02-15 | |
dc.identifier.issn | 0973-5348 | |
dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/193134 | |
dc.description.abstractEn | In this paper, we consider an inverse problem of determining multiple ionic parameters of a 2 × 2 strongly coupled parabolic-elliptic reaction-diffusion system arising in cardiac electrophysiology modelling. We use the bidomain model coupled to an ODE system and we consider a general formalism of physiologicaly-detailed cellular membrane models to describe the ionic exchanges at the microscopic level. Our main result is the uniqueness and a Lipschitz stability estimate of the ion channels con-ductance parameters of the model using subboundary observations over an interval of time. The key ingredients are a global Carleman-type estimate with a suitable observations acting on a part of the boundary. | |
dc.language.iso | en | |
dc.publisher | EDP Sciences | |
dc.subject.en | Bidomain system | |
dc.subject.en | Physiological ionic model | |
dc.subject.en | Ionic parameters | |
dc.subject.en | Cardiac electrophysiology | |
dc.subject.en | Carleman estimate | |
dc.subject.en | Lipschitz stability estimate | |
dc.title.en | Ionic parameters identification of an inverse problem of strongly coupled PDE's system in cardiac electrophysiology using Carleman estimates | |
dc.type | Article de revue | |
dc.identifier.doi | 10.1051/mmnp/2018060 | |
dc.subject.hal | Informatique [cs]/Modélisation et simulation | |
dc.subject.hal | Mathématiques [math]/Equations aux dérivées partielles [math.AP] | |
dc.subject.hal | Mathématiques [math]/Analyse classique [math.CA] | |
dc.subject.hal | Mathématiques [math]/Analyse fonctionnelle [math.FA] | |
dc.subject.hal | Mathématiques [math]/Optimisation et contrôle [math.OC] | |
bordeaux.journal | Mathematical Modelling of Natural Phenomena | |
bordeaux.volume | 14 | |
bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
bordeaux.issue | 2 | |
bordeaux.institution | Université de Bordeaux | |
bordeaux.institution | Bordeaux INP | |
bordeaux.institution | CNRS | |
bordeaux.peerReviewed | oui | |
hal.identifier | hal-01923862 | |
hal.version | 1 | |
hal.popular | non | |
hal.audience | Internationale | |
hal.origin.link | https://hal.archives-ouvertes.fr//hal-01923862v1 | |
bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Mathematical%20Modelling%20of%20Natural%20Phenomena&rft.date=2019-02-15&rft.volume=14&rft.issue=2&rft.eissn=0973-5348&rft.issn=0973-5348&rft.au=ABIDI,%20Yassine&BELLASSOUED,%20Mourad&MAHJOUB,%20Moncef&ZEMZEMI,%20Nejib&rft.genre=article |
Archivos en el ítem
Archivos | Tamaño | Formato | Ver |
---|---|---|---|
No hay archivos asociados a este ítem. |