Stability estimates for some parameters of a reaction-diffusion equation coupled with an ODEReport as inadecuate




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1 REO - Numerical simulation of biological flows LJLL - Laboratoire Jacques-Louis Lions, Inria Paris-Rocquencourt, UPMC - Université Pierre et Marie Curie - Paris 6 2 LJLL - Laboratoire Jacques-Louis Lions

Abstract : In this work, we are interested by the monodomain equation which describes the evolution of the cardiac electrical potential and which corresponds to a coupled system involving a reaction-diffusion equation and an ordinary differential equation. We show Lipschitz stability inequalities for the identification of some parameters of the model from measurements on the cardiac potential and the ionic variable.

Keywords : parameter identification inverse problem reaction-diffusion equation





Author: Muriel Boulakia - Elisa Schenone -

Source: https://hal.archives-ouvertes.fr/



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