AMRI, Abir; BELLASSOUED, Mourad; MAHJOUB, Moncef; ZEMZEMI, Nejib

doi:10.1080/00036811.2021.1955861

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AMRI, Abir
Ecole Nationale d'Ingénieurs de Tunis [ENIT]

BELLASSOUED, Mourad
Ecole Nationale d'Ingénieurs de Tunis [ENIT]

MAHJOUB, Moncef
Ecole Nationale d'Ingénieurs de Tunis [ENIT]

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Article de revue

Ce document a été publié dans

Applicable Analysis. 2021-07-09p. 1-30

Taylor & Francis

Résumé en anglais

In this paper, we prove a stability estimate of the conductivity parameters identification problem in cardiac electrophysiology. The propagation of the electrical wave in the heart is described by the monodomain model coupled to an elliptic equation describing the diffusion of the electrical wave in the whole body. Our result concerns both heart and torso conductivity parameters. The main difficulty that we solve in this paper is related to the transmission conditions between the heart and the torso. We first, establish Carleman estimates for the coupled heart-torso system. Then, using these estimates and the Bukhgeim and Klibanov approach, we prove a Lipschitz stability estimate of cardiac and torso conductivity parameters.< Réduire

Mots clés en anglais

Inverse problem

Stability estimate

Carleman estimate

Cardiac electrophysiology

Conductivity parameters

URI

https://oskar-bordeaux.fr/handle/20.500.12278/191516

DOI

http://dx.doi.org/10.1080/00036811.2021.1955861

Project ANR

L'Institut de Rythmologie et modélisation Cardiaque - ANR-10-IAHU-0004

Origine

Importé de hal

Unités de recherche

Institut de Mathématiques de Bordeaux (IMB) - UMR 5251