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

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 ident...

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Bibliographic Details
Published inApplicable analysis Vol. 96; no. 7; pp. 1138 - 1145
Main Authors Boulakia, Muriel, Schenone, Elisa
Format Journal Article
LanguageEnglish
Published Abingdon Taylor & Francis 19.05.2017
Taylor & Francis Ltd
Subjects
35K57
49N45
Analysis of PDEs
Differential equations
Diffusion
Estimates
Evolution
inverse problem
Mathematical analysis
Mathematical models
Mathematics
Parameter identification
Parameters
reaction-diffusion equation
Reaction-diffusion equations
Stability
reaction-diffusion equation
inverse problem
parameter identification
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Summary: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.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 23
ISSN:0003-6811
1563-504X
DOI:10.1080/00036811.2016.1178722