Analytical solution of non-linear enzyme reaction equations arising in mathematical chemistry

被引：12
作者：
Maheswari, M. Uma [1 ]
Rajendran, L. [1 ]
机构：
[1] Madura Coll Autonomous, Dept Math, Madurai 625011, Tamil Nadu, India
来源：
JOURNAL OF MATHEMATICAL CHEMISTRY | 2011年 / 49卷 / 08期
关键词：
Enzyme reaction; Non-linear reaction equations; Homotopy Perturbation method; Michaelis-Menten kinetics; HOMOTOPY-PERTURBATION METHOD; FREDHOLM INTEGRAL-EQUATIONS;
D O I：
10.1007/s10910-011-9853-0
中图分类号：
O6 [化学];
学科分类号：
0703 ;
摘要：
The boundary value problem in basic enzyme reactions is formulated and approximate expressions for substrate and substrate-enzyme complex are presented. He's Homotopy Perturbation method is used to give approximate and analytical solutions of non-linear reaction equations containing a non-linear term related to enzymatic reaction. The pertinent analytical solutions for the substrate, enzyme- substrate complex and free enzyme are discussed in terms of dimensionless parameters sigma, rho and epsilon. The obtained concentration results are compared with the numerical solution acquired using Matlab program. They are found to be in satisfactory agreement.
引用
收藏
页码：1713 / 1726
页数：14
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