We study a family of problems set in a finely mixed periodic medium, modelling electrical conduction in biological tissues. We prove a unified derivation of these different schemes from the Maxwell equations in the quasi-stationary approximationand we investigate the behaviour of the corresponding macroscopic models.

Applications of homogenization techniques to the electrical conduction in biological tissues / Amar, Micol; Andreucci, Daniele; Paolo, Bisegna; Gianni, Roberto. - In: PROCEEDINGS IN APPLIED MATHEMATICS AND MECHANICS. - ISSN 1617-7061. - 7:(2007), pp. 2010013-2010014. [10.1002/pamm.200700041]

Applications of homogenization techniques to the electrical conduction in biological tissues.

AMAR, Micol;ANDREUCCI, Daniele;
2007

Abstract

We study a family of problems set in a finely mixed periodic medium, modelling electrical conduction in biological tissues. We prove a unified derivation of these different schemes from the Maxwell equations in the quasi-stationary approximationand we investigate the behaviour of the corresponding macroscopic models.
2007
Concentration,; homogenization; elliptic equations with memory; bidomain model
01 Pubblicazione su rivista::01a Articolo in rivista
Applications of homogenization techniques to the electrical conduction in biological tissues / Amar, Micol; Andreucci, Daniele; Paolo, Bisegna; Gianni, Roberto. - In: PROCEEDINGS IN APPLIED MATHEMATICS AND MECHANICS. - ISSN 1617-7061. - 7:(2007), pp. 2010013-2010014. [10.1002/pamm.200700041]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/240853
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