TY - JOUR AU - Qaiser, M. AU - Chaudhry, Q. A. AU - Zainab, S. AU - Shuaib, A. PY - 2015/04/06 Y2 - 2024/03/29 TI - Simplified 2D-Axisymmetric Model for Reaction-Diffusion Mechanism of PAHs in a Mammalian Cell JF - Journal of the Pakistan Institute of Chemical Engineers JA - JPIChE VL - 43 IS - 1 SE - Articles DO - UR - http://piche.org.pk/journal/index.php/jpiche/article/view/203 SP - 97-103 AB - This paper illustrates a mathematical model for reaction and diffusion of harmful lipophilic chemical compounds in a V79 mammalian cell. Since modeling of a mammalian cell is itself a hard slog due to its complex geometry, heterogeneity and variation of cellular architecture and it becomes even more difficult with the presence of plasma/nuclear membranes. A detailed mathematical model was developed earlier that gave rise to a system of PDEs which was handled numerically. Homogenization technique was applied for the numerical treatment of cytoplasm. For the reduction of complexity and computational labor of the detailed model, a simplified model with the inclusion of nuclear envelope is developed in this paper. This was done by replacing plasma/nuclear membranes by defining membrane flux, using Fick’s law of diffusion. Results of newly developed simplified model are compared with the results of detailed model, where they show a nice agreement. ER -