scholarly journals Periodic homogenization of nonsymmetric Lévy-type processes

2021 ◽  
Vol 49 (6) ◽  
Author(s):  
Xin Chen ◽  
Zhen-Qing Chen ◽  
Takashi Kumagai ◽  
Jian Wang
Keyword(s):  
Periodic Homogenization

Numerical = periodic homogenization

PAMM ◽  
2018 ◽  
Vol 18 (1) ◽  
Author(s):  
Daniel Peterseim ◽  
Dora Varga
Keyword(s):  
Periodic Homogenization

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

2018 ◽  
Vol 28 (05) ◽  
pp. 979-1035 ◽  
Author(s):  
Annabelle Collin ◽  
Sébastien Imperiale
Keyword(s):  
Mathematical Analysis ◽  
Cardiac Electrophysiology ◽  
Convergence Theory ◽  
Bidomain Model ◽  
Periodic Homogenization ◽  
Homogenization Procedure ◽  
Uniform Estimates ◽  
Bidomain Equations ◽  
Homogenization Process

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 electrophysiology. We consider space-dependent and tensorial electric conductivities as well as space-dependent physiological and phenomenological nonlinear 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 nonlinear ionic models in the homogenization process.

Periodic homogenization

2022 ◽  
pp. 127-145
Author(s):  
George Chatzigeorgiou ◽  
Fodil Meraghni ◽  
Nicolas Charalambakis
Keyword(s):  
Periodic Homogenization
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