Article Dans Une Revue Applicable Analysis Année : 2021

Analysis of the heart-torso conductivity parameters recovery inverse problem in cardiac electrophysiology ECG modelling

Résumé

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.

Fichier principal
Vignette du fichier
inverse_problem_d.pdf (341.22 Ko) Télécharger le fichier
Origine Fichiers produits par l'(les) auteur(s)
Licence

Dates et versions

hal-03301127 , version 1 (27-07-2021)

Licence

Identifiants

Citer

Abir Amri, Mourad Bellassoued, Moncef Mahjoub, Nejib Zemzemi. Analysis of the heart-torso conductivity parameters recovery inverse problem in cardiac electrophysiology ECG modelling. Applicable Analysis, 2021, pp.1-30. ⟨10.1080/00036811.2021.1955861⟩. ⟨hal-03301127⟩
288 Consultations
478 Téléchargements

Altmetric

Partager

  • More