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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
