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Preprints, Working Papers, ... Year : 2022

Global Lipschitz stability of multiple space dependent ionic parameters in cardiac electrophysiology

Abstract

This paper is devoted to analyze the inverse problem of determining two space dependent ionic parameters of a nonlinear reaction diffusion system described by a parabolic-elliptic one, modeling the electrical activity in the heart. We consider the classical phenomenological model in cardiac electrophysiology of FitzHugh-Nagumo to describe the ionic exchanges at the microscopic level. Our main result is the uniqueness and a Lipschitz stability estimate for two ionic parameters (k, γ) of the model using sub-boundary observations over an interval of time. The key ingredients are global Carleman-type estimates with a suitable observations acting on a part of the boundary.
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Dates and versions

hal-03710817 , version 1 (01-07-2022)

Identifiers

  • HAL Id : hal-03710817 , version 1

Cite

Hamza Ammar, Moncef Mahjoub, Néjib Zemzemi. Global Lipschitz stability of multiple space dependent ionic parameters in cardiac electrophysiology. 2022. ⟨hal-03710817⟩

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TDS-MACS CARI2022
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