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A Domain Decomposition Approch in the Electrocardiography Inverse Problem

Nejib Zemzemi 1 
1 CARMEN - Modélisation et calculs pour l'électrophysiologie cardiaque
IMB - Institut de Mathématiques de Bordeaux, Inria Bordeaux - Sud-Ouest, IHU-LIRYC
Abstract : The mostly used mathematical formulation of the inverse problem in electrocardiography is based on a least method using a transfer matrix that maps the electrical potential on the heart to the body surface potential (BSP). This mathematical model is ill based and a lot of works have been concentrating on the regularization term without thinking of reformulating the problem itself. We propose in this study to solve the inverse problem based on a domain decomposition technique on a fictitious mirror-like boundary conditions. We conduct BSP simulations to produce synthetic data and use it to evaluate the accuracy of the inverse problem solution.
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Submitted on : Thursday, September 18, 2014 - 2:00:19 PM
Last modification on : Thursday, January 20, 2022 - 5:31:37 PM
Long-term archiving on: : Friday, December 19, 2014 - 1:30:19 PM


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  • HAL Id : hal-01065692, version 1



Nejib Zemzemi. A Domain Decomposition Approch in the Electrocardiography Inverse Problem. Domain Decomposition 22, Università della Svizzera italiana, Sep 2013, Lugano, Switzerland. ⟨hal-01065692⟩



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