MATHEMATICAL MODELING OF REACTION-DIFFUSION MECHANISM OF PAH DIOL EPOXIDES IN A CELL

Abstract

Mathematical modeling of reaction-diffusion mechanism of biological cell is facing severe problems. Earlier, we developed a mathematical model describing the intracellular dynamics. The resulting system of PDEs was handled numerically. Later, this model was reduced to a system of ODEs using standard compartment modeling approach, and was solved using BDF. In this study, we solved the system of ODEs using a semi analytical scheme known as Differential Transformation
Method. The degradation of DEs in extra-cellular medium, and formation of DEs in cytoplasm and nucleus was observed, where the results of the model using DTM were compared against the results obtained from numerical techniques, which showed a very nice agreement. The main feature of DTM was that it gave a better solution. Therefore, one needs to have such a method, which may give a better solution with less error