Journal of Generalized Lie Theory and Applications

Lie Group Analysis for Solving the Problem of Diffusion of Drugs across a Biological Membrane

MB Abd-el-Malek and AM Amin

Full-text: Access denied (no subscription detected)

We're sorry, but we are unable to provide you with the full text of this article because we are not able to identify you as a subscriber. If you have a personal subscription to this journal, then please login. If you are already logged in, then you may need to update your profile to register your subscription. Read more about accessing full-text

Abstract

The Lie group method is applied to study the diffusion process of drugs across a biological membrane which tends to partially absorb the drug. For the diffusion coefficient, we considered two cases. The Lie group analysis is based on reducing the number of independent variables by one, and consequently the mathematical model described by nonlinear partial differential equation to, covers the diffusion process with the boundary and initial conditions, and is transformed into an ordinary differential equation with the corresponding conditions. The obtained nonlinear ordinary differential equation is solved numerically using the ${4^{th}}$ and ${5^{th}}$ Runge Kutta method, and the results are illustrated graphically and in tables too.

Article information

Source
J. Gen. Lie Theory Appl., Volume 9, Number 2 (2015), 4 pages.

Dates
First available in Project Euclid: 2 February 2016

Permanent link to this document
https://projecteuclid.org/euclid.jglta/1454422010

Digital Object Identifier
doi:10.4172/1736-4337.1000236

Mathematical Reviews number (MathSciNet)
MR3642247

Zentralblatt MATH identifier
06538947

Keywords
Biological membrane Diffusion of drugs Concentration of drug Absorption

Citation

Abd-el-Malek, MB; Amin, AM. Lie Group Analysis for Solving the Problem of Diffusion of Drugs across a Biological Membrane. J. Gen. Lie Theory Appl. 9 (2015), no. 2, 4 pages. doi:10.4172/1736-4337.1000236. https://projecteuclid.org/euclid.jglta/1454422010


Export citation