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• W1058028202 abstract "Abstract We study the asymptotic convergence to a periodic steady state of the solution of a nonlinear system of equations with periodic boundary data modeling electrical conduction in biological tissues, both in the microscopic and in the homogenized version. Such model keeps into account the resistive behavior of the intracellular and extracellular domains and also the capacitive/resistive behavior of the lipidic cellular membrane. The rate of convergence is analyzed and the systems of equations satisfied by the asymptotic limits are exhibited, when the resistive behavior of the membrane is described by a strictly monotone and coercive nonlinear function. The special case of homogeneous boundary conditions is also investigated, where the coercivity assumption can be relaxed." @default.
• W1058028202 created "2016-06-24" @default.
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• W1058028202 date "2016-01-01" @default.
• W1058028202 modified "2023-09-27" @default.
• W1058028202 title "Exponential decay for a nonlinear model for electrical conduction in biological tissues" @default.
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• W1058028202 doi "https://doi.org/10.1016/j.na.2015.07.002" @default.
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