We consider a nonlinear model for electrical conduction in biologicaltissues. The nonlinearity appears in the interface condition prescribed on thecell membrane. The purpose of this paper is proving asymptotic convergence for large timesto a periodic solution when time-periodic boundary data are assigned. Thenovelty here is that we allow the nonlinearity to be noncoercive. We considerboth the homogenized and the non-homogenized version of the problem.
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