New Perspectives In Solving Cardiac Electrophysiological Activity Reconstruction

Abdeljalil Nachaoui (1) , Mohammed Azeez Hilal , Mourad Nachaoui (2) , Abdelkrim Chakib , Tamaz Tadumadze

1 LMJL - Laboratoire de Mathématiques Jean Leray
2 Laboratoire de Mathématiques et Applications

ELECTROCARDIOGRAPHY (ECG) investigates the relationship between the electrical activity of the heart and its induced voltages measured on the torso surface. This relationship can be characterized mathematically as an inverse problem where the goal is to non invasively estimate cardiac electrical activity from voltage distributions measured on the body surface. In order to solve this problem we suggest a new approach based on domain decomposition technique. We approximate our approach by a Finite Element Method. Numerical experiments with 2D domains highlight the efficiency of the proposed methods as well as their robustness in the model context.

Domaines: Mathématiques [math]; Optimisation et contrôle [math.OC]; Analyse numérique [math.NA]

Abdeljalil Nachaoui, Mohammed Azeez Hilal, Mourad Nachaoui, Abdelkrim Chakib, Tamaz Tadumadze. New Perspectives In Solving Cardiac Electrophysiological Activity Reconstruction. International Conference in Analysis, université de Poitiers, Mar 2017, Poitiers, France. ⟨hal-02599972⟩