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 e of conducting phases surrounded by dielectric shells of thickness epsilon eta included in a conductive matrix. Such a hierarchy will be obtained from the Maxwell equations by means of a concentration process eta-->0, followed by a homogenization limit with respect to epsilon. These models are then compared with regard to their physical meaning and mathematical issues. Copyright (C) 2005 John Wiley & Sons, Ltd.

On a hierarchy of models for electrical conduction in biological tissues / Amar, Micol; Andreucci, Daniele; P., Bisegna; Gianni, Roberto. - In: MATHEMATICAL METHODS IN THE APPLIED SCIENCES. - ISSN 0170-4214. - STAMPA. - 29:7(2006), pp. 767-787. [10.1002/mma.709]

On a hierarchy of models for electrical conduction in biological tissues

AMAR, Micol;ANDREUCCI, Daniele;GIANNI, Roberto
2006

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 e of conducting phases surrounded by dielectric shells of thickness epsilon eta included in a conductive matrix. Such a hierarchy will be obtained from the Maxwell equations by means of a concentration process eta-->0, followed by a homogenization limit with respect to epsilon. These models are then compared with regard to their physical meaning and mathematical issues. Copyright (C) 2005 John Wiley & Sons, Ltd.
2006
asymptotic expansion; dynamical condition; electrical conduction in biological tissues; homogenization
01 Pubblicazione su rivista::01a Articolo in rivista
On a hierarchy of models for electrical conduction in biological tissues / Amar, Micol; Andreucci, Daniele; P., Bisegna; Gianni, Roberto. - In: MATHEMATICAL METHODS IN THE APPLIED SCIENCES. - ISSN 0170-4214. - STAMPA. - 29:7(2006), pp. 767-787. [10.1002/mma.709]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/230969
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