Solution of a Complex Nonlinear Fractional Biochemical Reaction Model

Mathematical and Computational Applications

Fatima Rabah¹  Suheil A. Khuri¹  Marwan Abukhaled¹ 

[1] Department of Mathematics and Statistics, American University of Sharjah, Sharjah P.O. Box 26666, United Arab Emirates;

关键词: enzyme inhibitor;    biochemical reaction;    fractional differential system;    Laplace transformation;    semi-analytic;   

DOI  :  10.3390/mca27030045

来源: DOAJ

【 摘 要 】

This paper discusses a complex nonlinear fractional model of enzyme inhibitor reaction where reaction memory is taken into account. Analytical expressions of the concentrations of enzyme, substrate, inhibitor, product, and other complex intermediate species are derived using Laplace decomposition and differential transformation methods. Since different rate constants, large initial concentrations, and large time domains are unavoidable in biochemical reactions, different dynamics will result; hence, the convergence of the approximate concentrations may be lost. In this case, the proposed analytical methods will be coupled with Padé approximation. The validity and accuracy of the derived analytical solutions will be established by direct comparison with numerical simulations.

【 授权许可】

Unknown