Abstract

Using the periodic unfolding method, we shall analyze the macroscopic behavior of a non-linear system of partial dierential equations describing some biochemical processes involved in the carcinogenesis in human cells. We shall mainly focus here on some important phenomena arising in the carcinogenesis of living cells produced by Benzo[a]pyrene molecules.Various biochemical mechanisms, such as chemical reactions and diffusion processes occurring at the surface of the endoplasmic reticulum or binding and cleaning processes, described by suitable nonlinear functions, are taken into account in our model.

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