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

Bedr'eddine Ainseba, Mostafa Bendahmane, A. Lopez Rincon

Research output: Contribution to journalArticleAcademicpeer-review


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).
Original languageEnglish
Pages (from-to)235-250
Number of pages16
JournalMoroccan Journal of Pure and Applied Sciences
Issue number2
Publication statusPublished - 24 Jan 2020


  • Bioelectric model
  • weak solution
  • Homogeneous
  • non-homegeneous
  • direct and inverse problems
  • finite element
  • cardiac electric field


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