Simplified 2D-Axisymmetric Model for Reaction-Diffusion Mechanism of PAHs in a Mammalian Cell
AbstractThis 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 Fickâ€™s law of diffusion. Results of newly developed simplified model are compared with the results of detailed model, where they show a nice agreement.
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
LicenseAuthors who publish with this journal agree to the following terms:
- Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution License that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.
- Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.
- Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work (See The Effect of Open Access).