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]