title: Extended Parker-Sochacki method for Michaelis-Menten enzymatic reaction model.
abstract: 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.
authors.affiliation: Department of Engineering Mathematics and Physics, Faculty of Engineering, Alexandria University, Alexandria 21544, Egypt. Electronic address: ismail.engalex@gmail.com.
authors.forename: Ismail M
authors.initials: IM
authors.lastname: Abdelrazik
authors.affiliation: Department of Engineering Mathematics and Physics, Faculty of Engineering, Alexandria University, Alexandria 21544, Egypt.
authors.forename: Hesham A
authors.initials: HA
authors.lastname: Elkaranshawy
mesh_terms: D004798:Enzymes / Q000378:metabolism*; D008956:Models, Chemical
chemical_list: D004798:Enzymes
keywords: Enzymatic reaction model; Michaelis–Menten; Padé approximant; Parker–Sochacki; Sumudu transform