scholarly journals Homogenization of a modified bidomain model involving imperfect transmission

2021 ◽  
Vol 0 (0) ◽  
pp. 0
Author(s):  
Micol Amar ◽  
Daniele Andreucci ◽  
Claudia Timofte
Keyword(s):  
Bidomain Model

Engineered cardiac tissue analyzed using the mechanical bidomain model

2018 ◽  
Vol 98 (5) ◽  
Author(s):  
Kharananda Sharma ◽  
Bradley J. Roth
Keyword(s):  
Cardiac Tissue ◽  
Bidomain Model

scholarly journals How Compressibility Influences the Mechanical Bidomain Model

BIOMATH ◽  
2014 ◽  
Vol 3 (2) ◽  
Author(s):  
Kharananda Sharma ◽  
Bradley John Roth
Keyword(s):  
Bidomain Model

scholarly journals Bidomain model

Scholarpedia ◽  
2008 ◽  
Vol 3 (4) ◽  
pp. 6221 ◽  
Author(s):  
Bradley Roth
Keyword(s):  
Bidomain Model

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.

Parallel Multigrid Preconditioner for the Cardiac Bidomain Model

2004 ◽  
Vol 51 (11) ◽  
pp. 1960-1968 ◽  
Author(s):  
R. WeberdosSantos ◽  
G. Plank ◽  
S. Bauer ◽  
E.J. Vigmond
Keyword(s):  
Bidomain Model ◽  
Parallel Multigrid

Spiral Wave Control by a Localized Stimulus:. A Bidomain Model Study

2004 ◽  
Vol 15 (2) ◽  
pp. 226-233 ◽  
Author(s):  
TAKASHI ASHIHARA ◽  
TSUNETOYO NAMBA ◽  
MAKOTO ITO ◽  
TAKANORI IKEDA ◽  
KAZUO NAKAZAWA ◽  
...  
Keyword(s):  
Spiral Wave ◽  
Bidomain Model ◽  
Model Study ◽  
Wave Control
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