<abstract xmlns="http://www.w3.org/1999/xhtml"><p>In the present paper, an homogeneous and non-homogeneous inverse problem constrained by the stationary problem in electrocardiology representing the heart, lungs surfaces, and torso model is investigated. Our goal is to reconstruct the electrical potentials on the surface of the heart from the information obtained non invasively on the torso surface. The existence and uniqueness of solution for the heart-torso problem and the related inverse problem is assessed, and the primal and dual problems are discretized using a finite element method. We present some preliminary numerical experiments using an efficient implementation of the proposed scheme in homogeneous and non-homogeneous cases. Finally, we demonstrate the effect of the non-homogeneity on the reconstructed epicardial potential and show that the inverse ECG problem cannot be solved by the classical BEM (boundary element method).</p></abstract>

In the present paper, an homogeneous and non-homogeneous inverse problem constrained by the stationary problem in electrocardiology representing the heart, lungs surfaces, and torso model is investigated. Our goal is to reconstruct the electrical potentials on the surface of the heart from the information obtained non invasively on the torso surface. The existence and uniqueness of solution for the heart-torso problem and the related inverse problem is assessed, and the primal and dual problems are discretized using a finite element method. We present some preliminary numerical experiments using an efficient implementation of the proposed scheme in homogeneous and non-homogeneous cases. Finally, we demonstrate the effect of the non-homogeneity on the reconstructed epicardial potential and show that the inverse ECG problem cannot be solved by the classical BEM (boundary element method).

Effect of Torso Non-Homogeneities in the quasi-static inverse problems arising in electrocardiology

Moroccan Journal of Pure and Applied Analysis

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

In the present paper, an homogeneous and non-homogeneous inverse problem constrained by the stationary problem in electrocardiology representing the heart,...

Effect of Torso Non-Homogeneities in the quasi-static inverse problems arising in electrocardiology

Published Online: Jan 24, 2020

Page range: 235 - 250

Received: Oct 27, 2019

Accepted: Dec 15, 2019

DOI: https://doi.org/10.2478/mjpaa-2019-0017

Keywords
Bioelectric model, weak solution, Homogeneous, non-homogeneous, Direct and Inverse problems, finite element, cardiac electric field

© 2019 BedrEddine Ainseba et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Effect of Torso Non-Homogeneities in the quasi-static inverse problems arising in electrocardiology

Published Online: Jan 24, 2020

Page range: 235 - 250

Received: Oct 27, 2019

Accepted: Dec 15, 2019

DOI: https://doi.org/10.2478/mjpaa-2019-0017

KeywordsBioelectric model, weak solution, Homogeneous, non-homogeneous, Direct and Inverse problems, finite element, cardiac electric field

© 2019 BedrEddine Ainseba et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Keywords
Bioelectric model, weak solution, Homogeneous, non-homogeneous, Direct and Inverse problems, finite element, cardiac electric field