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Micol Amar Daniele Andreucci Paolo Bisegna Roberto Gianni 《Comptes Rendus Mecanique》2003,331(7):503-508
We study an evolutive model for electrical conduction in biological tissues, where the conductive intra-cellular and extracellular spaces are separated by insulating cell membranes. The mathematical scheme is an elliptic problem, with dynamical boundary conditions on the cell membranes. The problem is set in a finely mixed periodic medium. We show that the homogenization limit u0 of the electric potential, obtained as the period of the microscopic structure approaches zero, solves the equation where σ0>0 and the matrices A0, A1 depend on geometric and material properties, while the vector function keeps trace of the initial data of the original problem. Memory effects explicitly appear here, making this elliptic equation of non standard type. To cite this article: M. Amar et al., C. R. Mecanique 331 (2003). 相似文献
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