Analytical Solution of the Non-linear Michaelis–Menten Pharmacokinetics Equation

被引：0
|
作者：
Omari D. [1 ]
Alomari A.K. [2 ]
Mansour A. [3 ]
Bawaneh A. [3 ,4 ]
Mansour A. [3 ]
机构：
[1] Faculty of Pharmacy, Yarmouk University, Irbid
[2] Department of Mathematics, Yarmouk University, Irbid
[3] Wake Forest University School of Medicine, Winston-Salem, NC
[4] Physiology Department, Wake Forest University School of Medicine, Winston-Salem, NC
[5] PharmaTech Intl, Chicago, IL
[6] Formerly Chemical Engineering at University of Akron, Akron, OH
来源：
International Journal of Applied and Computational Mathematics | 2020年 / 6卷 / 1期
关键词：
Homotopy analysis method; Michaelis–Menten pharmacokinetics equation; Non-linear BVP; Series solution; Stiff differential equations;
D O I：
10.1007/s40819-019-0761-5
中图分类号：
学科分类号：
摘要：
In this research paper, we discuss a new accurate algorithm to solve the steady-state nonlinear Michaelis-Menten pharmacokinetics equation model problem, which depicts oxygen diffusion in a planar cell. Michaelis–Menten kinetics of enzymatic reaction was generated by diffusion equation with a non-linear term. Approximate analytical solution of nonlinear Michaelis-Menten Pharmacokinetics is constructed using homotopy analysis method for a boundary value problem. The validity of the acquired solution is demonstrated via numerical results. © 2020, Springer Nature India Private Limited.
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