An Application of the Homotopy Analysis Method to the Transient Behavior of a Biochemical Reaction Model

Authors

A. A. M. Arafa, Department of Mathematics and Computer Science, Faculty of Science, Port Said University, Port Said, EgyptFollow
S. Z. Rida, Department of Mathematics, Faculty of Science, South Valley University, Qena, EgyptFollow
Hegagi Mohamed, Department of Mathematics, Faculty of Science, Aswan University, Aswan, EgyptFollow

Abstract

In this paper, the homotopy analysis method (HAM) is applied to solve fractional transient phase of the Michaelis-Menten reaction. The analytical solution, which is given in the form of a power series, is found to be highly accurate in predicting the behavior of the reaction in the very early stages. The fractional derivatives are described by Caputo’s sense. We also present a comparison of the various analytical approximations and a direct numerical solution of this problem. The results of applying this procedure to the studied cases show the high accuracy and efficiency of the approach.

Recommended Citation

A. M. Arafa, A.; Z. Rida, S.; and Mohamed, Hegagi (2014) "An Application of the Homotopy Analysis Method to the Transient Behavior of a Biochemical Reaction Model," Information Sciences Letters: Vol. 3 : Iss. 1 , PP -.
Available at: https://digitalcommons.aaru.edu.jo/isl/vol3/iss1/4