We study, by means of the periodic unfolding technique, the homogenization of a modified bidomain model, which describes the propagation of the action potential in the cardiac electrophysiology. Such a model, allowing the presence of pathological zones in the heart, involves various geometries and non-standard transmission conditions on the interface between the healthy and the damaged part of the cardiac muscle.

Homogenization of a modified bidomain model involving imperfect transmission / Amar, M.; Andreucci, D.; Timofte, C.. - In: COMMUNICATIONS ON PURE AND APPLIED ANALYSIS. - ISSN 1534-0392. - 20:5(2021), pp. 1755-1782. [10.3934/cpaa.2021040]

Homogenization of a modified bidomain model involving imperfect transmission

M. Amar
;
D. Andreucci;
2021

Abstract

We study, by means of the periodic unfolding technique, the homogenization of a modified bidomain model, which describes the propagation of the action potential in the cardiac electrophysiology. Such a model, allowing the presence of pathological zones in the heart, involves various geometries and non-standard transmission conditions on the interface between the healthy and the damaged part of the cardiac muscle.
2021
Homogenization, time-periodic unfolding, bidomain models, imperfect transmission
01 Pubblicazione su rivista::01a Articolo in rivista
Homogenization of a modified bidomain model involving imperfect transmission / Amar, M.; Andreucci, D.; Timofte, C.. - In: COMMUNICATIONS ON PURE AND APPLIED ANALYSIS. - ISSN 1534-0392. - 20:5(2021), pp. 1755-1782. [10.3934/cpaa.2021040]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/1437353
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