Open Science Repository Mathematics

doi: 10.7392/openaccess.23050498


Mathematical Modeling of Reaction-Diffusion Process in Cell Membranes


Saheed Akindeinde

Catholic University of Eastern Africa, Nairobi, Kenya


Abstract

In this paper, we discuss the mathematical modeling and numerical implementation of reaction-diffusion processes inside a cell nucleus where the diffusion of nuclear materials is restricted by its membrane. Viewing the two-specie interaction between the chemical composition of the cell and its membrane as an enzyme-substrate process we modeled the reaction-diffusion in the cell membrane under quasi-steady state equilibrium assumption. The pure diffusion process inside the three-dimensional cell depends on the solution of a two-dimensional reaction-diffusion process on the interface on its cell membrane. Through adaptive nite element discretization, we solve the three-dimensional pure diff usion problem using the solution of the two-dimensional problem on the membrane as a Dirichlet data. The paper is complemented with numerical results.

Keywords: mathematical modeling, reaction, diffusion, finite element, discretization, cell membrane.



Citation: Akindeinde, S. (2014). Mathematical Modeling of Reaction-Diffusion Process in Cell Membranes. Open Science Repository Mathematics, Online(open-access), e23050498. doi:10.7392/openaccess.23050498

Received: February 13, 2014

Published: February 22, 2014

Copyright: © 2014 Akindeinde, S. Creative Commons Attribution 3.0 Unported License.

Contact: [email protected]



Full text

Other options: cloud 2; cloud 3.

You don't have a PDF plugin, but you can download the PDF file.

Cite this paper

APA

Akindeinde, S. (2014). Mathematical Modeling of Reaction-Diffusion Process in Cell Membranes. Open Science Repository Mathematics, Online(open-access), e23050498. doi:10.7392/openaccess.23050498

MLA

Akindeinde, Saheed. “Mathematical Modeling of Reaction-Diffusion Process in Cell Membranes.” Open Science Repository Mathematics Online.open-access (2014): e23050498.

Chicago

Akindeinde, Saheed. “Mathematical Modeling of Reaction-Diffusion Process in Cell Membranes.” Open Science Repository Mathematics Online, no. open-access (February 22, 2014): e23050498. doi:10.7392/openaccess.23050498.

Harvard

Akindeinde, S., 2014. Mathematical Modeling of Reaction-Diffusion Process in Cell Membranes. Open Science Repository Mathematics, Online(open-access), p.e23050498.

Science

1. S. Akindeinde, Mathematical Modeling of Reaction-Diffusion Process in Cell Membranes, Open Sci. Repos. Math. Online, e23050498 (2014).

Nature

1. Akindeinde, S. Mathematical Modeling of Reaction-Diffusion Process in Cell Membranes. Open Sci. Repos. Math. Online, e23050498 (2014).


doi

Research registered in the DOI resolution system as: 10.7392/openaccess.23050498.




Creative Commons License
This work is licensed under a Creative Commons Attribution 3.0 Unported License.


open-science-repository.com — Website No Longer Available

This domain has expired and been acquired by SerpNames.com. We have restored an archived version of this website using materials from Archive.org to preserve its historical and SEO value.

This is not the active website of the former owner or organization. We are not affiliated with or endorsed by any prior operators or related entities that may still be active elsewhere.

All content displayed here was publicly available prior to expiration and is presented under fair use for informational and archival purposes only.

Our intention is solely to maintain the domain’s historical context and not to harm or misrepresent any business, organization, or individual. No logins, payments, or personal data are collected or processed on this page.

If you are the previous owner or wish to request content removal, please contact team@serpnames.com.