Building Maps of Local Apparent Conductivity of the Epicardium with a 2D Electrophysiological Model of the Heart

Abstract : In this article we address the problem of estimating the parameters of an electrophysiological model of the heart from a set of electrical recordings. The chosen model is the reaction-diffusion model on the transmembrane potential proposed by Aliev and Panfilov. For this model, we estimate a local apparent 2D conductivity from a measured depolarization time distribution. First, we perform an initial adjustment including the choice of initial conditions and of a set of global parameters. We then propose a local estimation by minimizing the quadratic error between the depolarization time computed by the model and the measures. As a first step we address the problem on the epicardial surface in the case of an isotropic version of the Aliev and Panfilov model. The minimization is performed using Brent method without computing the derivative of the error. The feasibility of the approach is demonstrated on synthetic electrophysiological measurements. A proof of concept is obtained on real electrophysiological measures of normal and infarcted canine hearts.
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IEEE Transactions on Biomedical Engineering, Institute of Electrical and Electronics Engineers, 2006, 53 (8), pp.1457-1466. 〈10.1109/TBME.2006.877794〉
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Valérie Moreau-Villéger, Hervé Delingette, Maxime Sermesant, Hiroshi Ashikaga, Elliot Mcveigh, et al.. Building Maps of Local Apparent Conductivity of the Epicardium with a 2D Electrophysiological Model of the Heart. IEEE Transactions on Biomedical Engineering, Institute of Electrical and Electronics Engineers, 2006, 53 (8), pp.1457-1466. 〈10.1109/TBME.2006.877794〉. 〈inria-00614992〉

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