On the identification of multiple space dependent ionic parameters in cardiac electrophysiology modelling - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Reports (Research Report) Year : 2017

On the identification of multiple space dependent ionic parameters in cardiac electrophysiology modelling

Abstract

In this paper, we consider the inverse problem of space dependent multiple ionic parameters identification in cardiac electrophysiology modelling from a set of observations. We use the monodomain system known as a state-of-the-art model in cardiac electrophysiology and we consider a general Hodgkin-Huxley formalism to describe the ionic exchanges at the microscopic level. This formalism covers many physiological transmembrane potential models including those in cardiac electrophysiology. Our main result is the proof of the uniqueness and a Lipschitz stability estimate of ion channels conductance parameters based on some observations on an arbitrary subdomain. The key idea is a Carleman estimate for a parabolic operator with multiple coefficients and an ordinary differential equation system.
Fichier principal
Vignette du fichier
ABZM3_version_16-06-17.pdf (331.85 Ko) Télécharger le fichier
Origin : Files produced by the author(s)
Loading...

Dates and versions

hal-01567714 , version 1 (24-07-2017)

Identifiers

  • HAL Id : hal-01567714 , version 1

Cite

Yassine Abidi, Mourad Bellassoued, Moncef Mahjoub, Nejib Zemzemi. On the identification of multiple space dependent ionic parameters in cardiac electrophysiology modelling. [Research Report] INRIA. 2017. ⟨hal-01567714⟩
299 View
346 Download

Share

Gmail Facebook X LinkedIn More