Stability results for the parameter identification inverse problem in cardiac electrophysiology

Abstract : 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.
Type de document :
Article dans une revue
Inverse Problems, IOP Publishing, 2016, 32, pp.1-31. 〈10.1088/0266-5611/32/11/115002〉
Liste complète des métadonnées

Littérature citée [38 références]  Voir  Masquer  Télécharger

https://hal.inria.fr/hal-01399373
Contributeur : Nejib Zemzemi <>
Soumis le : vendredi 18 novembre 2016 - 16:55:10
Dernière modification le : jeudi 13 septembre 2018 - 15:24:09
Document(s) archivé(s) le : mardi 21 mars 2017 - 08:33:29

Fichier

Paper-Mahjoub-Moncef-soumissio...
Fichiers produits par l'(les) auteur(s)

Identifiants

Collections

Citation

Jamila Lassoued, Moncef Mahjoub, Nejib Zemzemi. Stability results for the parameter identification inverse problem in cardiac electrophysiology. Inverse Problems, IOP Publishing, 2016, 32, pp.1-31. 〈10.1088/0266-5611/32/11/115002〉. 〈hal-01399373〉

Partager

Métriques

Consultations de la notice

287

Téléchargements de fichiers

119