Open Science Repository Mathematics
doi: 10.7392/openaccess.23050498
Mathematical Modeling of Reaction-Diffusion Process in Cell Membranes
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.
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.
This work is licensed under a Creative Commons Attribution 3.0 Unported License.
We are looking for partners to help us develop this open access project further. Write to [email protected].
"I may be wrong and you may be right, and by an effort we may get nearer to the truth." Karl Popper
Export to Mendeley
|
Click on this icon. You'll need to log in. |
|