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.

引用

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