A numerical approach to model the dynamics in a mammalian cell exposed to a carcinogenic compound

Abstract: When a mammalian cell is exposed to a carcinogen, the carcinogen gives rise to new compounds. In this paper a numerical approach is taken to find the amount of these compounds overtime. The concentration of the compounds are assumed to satisfy the reaction and/or the diffusion equation, techniques used for solving these equations include the one-dimensional finite element method (FEM) and the lumped parameter approach. The mathematically derived results are compared to in-vitro measurements. The mathematical model set up in this paper will prove insufficient.