Misfit functional for recovering data in 2D ElectroCardioGraphy problems

Nejla Hariga-Tlatli (1) , Thouraya Baranger (2) , Jocelyne Erhel (3)

1 LR-LAMSIN-ENIT - Laboratoire de Modélisation Mathématique et Numérique dans les Sciences de l'Ingénieur [Tunis]
2 LaMCoS - Laboratoire de Mécanique des Contacts et des Structures [Villeurbanne]
3 SAGE - Simulations and Algorithms on Grids for Environment

This paper focuses on the inverse ElectroCardioGraphy problem which consists in recovering the electrical potential and flux on the heart from electrical potential on the body surface. An energy-like error functional introduced in Andrieux et al. [3] and a generalized least-squares method are performed in the context of this ill-posed problem of missing boundary data recovering. Numerical experiments with 2D domains highlight the efficiency of the proposed methods as well as their robustness in the model context.

Mots clés: ElectroCardiGraphy Noninvasive method Data completion Inverse problem Cauchy problem Generalized least-squares

Domaines: Mécanique [physics.med-ph]; Energie électrique; Electromagnétisme; Equations aux dérivées partielles [math.AP]; Optimisation et contrôle [math.OC]; Biomécanique [physics.med-ph]; Biomécanique [physics.med-ph]

Nejla Hariga-Tlatli, Thouraya Baranger, Jocelyne Erhel. Misfit functional for recovering data in 2D ElectroCardioGraphy problems. Engineering Analysis with Boundary Elements, 2010, 34, pp.492-500. ⟨10.1016/j.enganabound.2009.12.006⟩. ⟨hal-00489550⟩