Simplified 2D-Axisymmetric Model for Reaction-Diffusion Mechanism of PAHs in a Mammalian Cell

Authors

  • M. Qaiser Department of Mathematics, University of Engineering and Technology, Lahore
  • Q. A. Chaudhry Department of Mathematics, University of Engineering and Technology, Lahore
  • S. Zainab Department of Mathematics, University of Engineering and Technology, Lahore
  • A. Shuaib

Abstract

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.

Author Biography

A. Shuaib

Department of Physics, University of Engineering and Technology, Lahore

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Published

2015-04-06

How to Cite

Qaiser, M., Chaudhry, Q. A., Zainab, S., & Shuaib, A. (2015). Simplified 2D-Axisymmetric Model for Reaction-Diffusion Mechanism of PAHs in a Mammalian Cell. Journal of the Pakistan Institute of Chemical Engineers, 43(1), 97–103. Retrieved from http://piche.org.pk/journal/index.php/jpiche/article/view/203

Issue

Vol. 43 No. 1 (2015): JOURNAL OF THE PAKISTAN INSTITUTE OF CHEMICAL ENGINEERS (JPIChE)

Section

Articles

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