Simulation of Drug Diffusion in Mammalian Cell

Abstract

Scores of intricate problems are churned out in mammalian cell owing to the influence of lipophilic aromatic hydrocarbons. Diffusion and reaction of these noxious compounds obliterate the cellular structure. Earlier, a mathematical model was developed which gives rise to a system of PDEs. This system was treated numerically. Homogenization technique was used for the numerical treatment of cytoplasm which reduced the complexity of the model. The disparity in the formation of tetrols guides us towards a new model comprising nuclear envelope, enzymatic reactions and modifying the nuclear size. The results of the model are compared with previous model and experimental results of V79 cells, which show a significant improvement in the model.