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Homogenization of a carcinogenesis model with different scalings with the homogenization parameter

Homogenization of a carcinogenesis model with different scalings with the homogenization parameter

In the context of periodic homogenization based on two-scale convergence, we homogenize a linear system of four coupled reaction-diffusion equations, two of which are defined on a manifold. The system describes the most important subprocesses modeling the carcinogenesis of a human cell caused by Benzo-[a]-pyrene molecules. These molecules are activated …