Mathematical analysis and 2-scale convergence of a heterogeneous microscopic bidomain model
IMPERIALE, Sébastien
Mathematical and Mechanical Modeling with Data Interaction in Simulations for Medicine [M3DISIM]
Université Paris-Saclay
Mathematical and Mechanical Modeling with Data Interaction in Simulations for Medicine [M3DISIM]
Université Paris-Saclay
IMPERIALE, Sébastien
Mathematical and Mechanical Modeling with Data Interaction in Simulations for Medicine [M3DISIM]
Université Paris-Saclay
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Mathematical and Mechanical Modeling with Data Interaction in Simulations for Medicine [M3DISIM]
Université Paris-Saclay
Language
en
Article de revue
This item was published in
Mathematical Models and Methods in Applied Sciences. 2018
World Scientific Publishing
English Abstract
The aim of this paper is to provide a complete mathematical analysis of the periodic homogenization procedure that leads to the macroscopic bidomain model in cardiac elec-trophysiology. We consider space-dependent and ...Read more >
The aim of this paper is to provide a complete mathematical analysis of the periodic homogenization procedure that leads to the macroscopic bidomain model in cardiac elec-trophysiology. We consider space-dependent and tensorial electric conductivities as well as space-dependent physiological and phenomenological non-linear ionic models. We provide the nondimensionalization of the bidomain equations and derive uniform estimates of the solutions. The homogenization procedure is done using 2-scale convergence theory which enables us to study the behavior of the non-linear ionic models in the homogenization process .Read less <
Origin
Hal imported