ABIDI, Yassine; BOUYSSIER, Julien; MAHJOUB, Moncef; ZEMZEMI, Nejib

doi:10.1007/978-3-030-21949-9

Metadatos

Licencia de uso del documento

ABIDI, Yassine
Laboratoire de Modélisation Mathématique et Numérique dans les Sciences de l'Ingénieur [Tunis] [LR-LAMSIN-ENIT]

BOUYSSIER, Julien
IHU-LIRYC

MAHJOUB, Moncef
Laboratoire de Modélisation Mathématique et Numérique dans les Sciences de l'Ingénieur [Tunis] [LR-LAMSIN-ENIT]

Idioma

Communication dans un congrès

Este ítem está publicado en

FIMH 2019 - 10th International Conference Functionnal Imaging and Modeling of the Heart, 2019-06-06, Bordeaux. 2019-05-30, vol. 11504, p. 131-138

Springer

Resumen en inglés

In this work, we present an optimal control formulation for the bidomain model in order to estimate maximal conductances parameters in the physiological ionic model. We consider a general Hodgkin-Huxley formalism to describe the ionic exchanges at the microcopic level. We consider the parameters as control variables to minimize the mismatch between the measured and the computed potentials under the constraint of the bidomain system. The solution of the optimization problem is based on a gradient descent method, where the gradient is obtained by solving an adjoint problem. We show through some numerical examples the capability of this approach to estimate the values of sodium, calcium and potassium ion channels conductances in the Luo Rudy phase I model.< Leer menos

Palabras clave en inglés

Bidomain model

Physiological ionic model

First order optimality conditions

Maximal conductance ionic parameters

Cardiac electrophysiology

Parameters estimation

Optimal control with PDE constraints

URI

https://oskar-bordeaux.fr/handle/20.500.12278/192846

DOI

http://dx.doi.org/10.1007/978-3-030-21949-9

Proyecto ANR

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

Orígen

Importado de Hal

Centros de investigación

Institut de Mathématiques de Bordeaux (IMB) - UMR 5251