Abdelrazik Ismail M, Elkaranshawy Hesham A
Department of Engineering Mathematics and Physics, Faculty of Engineering, Alexandria University, Alexandria 21544, Egypt.
Department of Engineering Mathematics and Physics, Faculty of Engineering, Alexandria University, Alexandria 21544, Egypt.
Anal Biochem. 2016 Mar 1;496:50-4. doi: 10.1016/j.ab.2015.11.017. Epub 2015 Dec 18.
In this article, a new approach--namely, the extended Parker-Sochacki method (EPSM)--is presented for solving the Michaelis-Menten nonlinear enzymatic reaction model. The Parker-Sochacki method (PSM) is combined with a new resummation method called the Sumudu-Padé resummation method to obtain approximate analytical solutions for the model. The obtained solutions by the proposed approach are compared with the solutions of PSM and the Runge-Kutta numerical method (RKM). The comparison proves the practicality, efficiency, and correctness of the presented approach. It serves as a basis for solving other nonlinear biochemical reaction models in the future.
本文提出了一种新方法——即扩展的帕克-索查茨基方法（EPSM），用于求解米氏非线性酶促反应模型。帕克-索查茨基方法（PSM）与一种名为苏姆杜-帕德逼近法的新求和方法相结合，以获得该模型的近似解析解。将所提出方法得到的解与PSM的解以及龙格-库塔数值方法（RKM）的解进行比较。比较结果证明了所提出方法的实用性、有效性和正确性。它为今后求解其他非线性生化反应模型奠定了基础。
