Stability results for the parameter identification inverse problem in cardiac electrophysiology
| hal.structure.identifier | Laboratoire de Modélisation Mathématique et Numérique dans les Sciences de l'Ingénieur [Tunis] [LR-LAMSIN-ENIT] | |
| dc.contributor.author | LASSOUED, Jamila | |
| 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] | |
| hal.structure.identifier | IHU-LIRYC | |
| dc.contributor.author | ZEMZEMI, Nejib | |
| dc.date.accessioned | 2024-04-04T03:12:57Z | |
| dc.date.available | 2024-04-04T03:12:57Z | |
| dc.date.issued | 2016 | |
| dc.identifier.issn | 0266-5611 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/193912 | |
| dc.description.abstractEn | In this paper we prove a stability estimate of the parameter identification problem in cardiac electrophysiology modeling. We use the monodomain model which is a reaction diffusion parabolic equation where the reaction term is obtained by solving an ordinary differential equation. We are interested in proving the stability of the identification of the parameter τ in which is the parameter that multiplies the cubic term in the reaction term. The proof of the result is based on a new Carleman-type estimate for both the PDE and ODE problems. As a consequence of the stability result we prove the uniqueness of the parameter τ in giving some observations of both state variables at a given time t 0 in the whole domain and the PDE variable in a non empty open subset w 0 of the domain. | |
| dc.language.iso | en | |
| dc.publisher | IOP Publishing | |
| dc.subject.en | Mitchell-Schaeffer model | |
| dc.subject.en | Monodomain system | |
| dc.subject.en | stability result | |
| dc.subject.en | Ionic parameters Submitted to: Inverse Problems | |
| dc.subject.en | Parameter identification | |
| dc.subject.en | Carleman inequality | |
| dc.title.en | Stability results for the parameter identification inverse problem in cardiac electrophysiology | |
| dc.type | Article de revue | |
| dc.identifier.doi | 10.1088/0266-5611/32/11/115002 | |
| dc.subject.hal | Mathématiques [math]/Equations aux dérivées partielles [math.AP] | |
| dc.subject.hal | Mathématiques [math]/Analyse numérique [math.NA] | |
| bordeaux.journal | Inverse Problems | |
| bordeaux.page | 1-31 | |
| bordeaux.volume | 32 | |
| 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-01399373 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-01399373v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Inverse%20Problems&rft.date=2016&rft.volume=32&rft.issue=11&rft.spage=1-31&rft.epage=1-31&rft.eissn=0266-5611&rft.issn=0266-5611&rft.au=LASSOUED,%20Jamila&MAHJOUB,%20Moncef&ZEMZEMI,%20Nejib&rft.genre=article |
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