Stability estimates for some parameters of a reaction-diffusion equation coupled with an ODE

Muriel Boulakia (1, 2) , Elisa Schenone (1, 2)

1 REO - Numerical simulation of biological flows
2 LJLL - Laboratoire Jacques-Louis Lions

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.

Mots clés: parameter identification; inverse problem; reaction-diffusion equation

Domaines: Mathématiques [math]; Equations aux dérivées partielles [math.AP]

Muriel Boulakia, Elisa Schenone. Stability estimates for some parameters of a reaction-diffusion equation coupled with an ODE. Applicable Analysis, 2017, 96 (7). ⟨hal-01227427⟩