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On a hierarchy of models for electrical conduction in biological tissues

✍ Scribed by M. Amar; D. Andreucci; P. Bisegna; R. Gianni

Publisher: John Wiley and Sons
Year: 2006
Tongue: English
Weight: 188 KB
Volume: 29
Category: Article
ISSN: 0170-4214
DOI: 10.1002/mma.709

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✦ Synopsis

Abstract

In this paper we derive a hierarchy of models for electrical conduction in a biological tissue, which is represented by a periodic array of period ε of conducting phases surrounded by dielectric shells of thickness εη included in a conductive matrix. Such a hierarchy will be obtained from the Maxwell equations by means of a concentration process η → 0, followed by a homogenization limit with respect to ε. These models are then compared with regard to their physical meaning and mathematical issues. Copyright © 2005 John Wiley & Sons, Ltd.

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