COLLIN, Annabelle; IMPERIALE, Sébastien

doi:10.1142/S0218202518500264

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COLLIN, Annabelle
Modélisation Mathématique pour l'Oncologie [MONC]

IMPERIALE, Sébastien
Mathematical and Mechanical Modeling with Data Interaction in Simulations for Medicine [M3DISIM]
Université Paris-Saclay

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Mathematical Models and Methods in Applied Sciences. 2018

World Scientific Publishing

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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 .< Leer menos

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Mathematical analysis and 2-scale convergence of a heterogeneous microscopic bidomain model

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