Stochastic Finite Element Method for torso conductivity uncertainties quantification in electrocardiography inverse problem - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Journal Articles Mathematical Modelling of Natural Phenomena Year : 2016

Stochastic Finite Element Method for torso conductivity uncertainties quantification in electrocardiography inverse problem

Abstract

The purpose of this paper is to study the influence of errors and uncertainties of the input data, like the conductivity, on the electrocardiography imaging (ECGI) solution. In order to do that, we propose a new stochastic optimal control formulation, permitting to calculate the distribution of the electric potentiel on the heart from the measurement on the body surface. The discretization is done using stochastic Galerkin method allowing to separate random and deterministic variables. Then, the problem is discretized, in spatial part, using the finite element method and the polynomial chaos expansion in the stochastic part of the problem. The considered problem is solved using a conjugate gradient method where the gradient of the cost function is computed with an adjoint technique. The efficiency of this approach to solve the inverse problem and the usability to quantify the effect of conductivity uncertainties in the torso are demonstrated through a number of numerical simulations on a 2D analytical geometry and on a 2D cross section of a real torso.
Fichier principal
Vignette du fichier
mmnp-format-fikal.pdf (6.32 Mo) Télécharger le fichier
Origin : Files produced by the author(s)
Loading...

Dates and versions

hal-01289144 , version 1 (16-03-2016)

Identifiers

Cite

Rajae Aboulaich, Najib Fikal, Emahdi El Guarmah, Nejib Zemzemi. Stochastic Finite Element Method for torso conductivity uncertainties quantification in electrocardiography inverse problem. Mathematical Modelling of Natural Phenomena, 2016, 11 (2), pp.1-19. ⟨10.1051/mmnp/201611201⟩. ⟨hal-01289144⟩
188 View
243 Download

Altmetric

Share

Gmail Facebook X LinkedIn More