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Applications of homogenization techniques to the electrical conduction in biological tissues
Author(s) -
Amar Micol,
Andreucci Daniele,
Bisegna Paolo,
Gianni Roberto
Publication year - 2007
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200700041
Subject(s) - homogenization (climate) , electrical conduction , thermal conduction , maxwell's equations , mathematics , statistical physics , physics , thermodynamics , mathematical analysis , biology , ecology , biodiversity
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 approximation and we investigate the behaviour of the corresponding macroscopic models. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)