The total quasi-steady-state for multiple alternative substrate reactions

被引：2
作者：
Besya, Azimberdy [1 ]
Rao, Shodhan [1 ,2 ]
机构：
[1] Univ Ghent, Ctr Biosyst & Biotech Data Sci, Global Campus,119 Songdomunhwa Ro, Incheon 21985, South Korea
[2] Univ Ghent, Dept Data Anal & Math Modelling, Coupure Links 653, B-9000 Ghent, Belgium
来源：
JOURNAL OF MATHEMATICAL CHEMISTRY | 2022年 / 60卷 / 05期
关键词：
Singular perturbation analysis; Linearization; Taylor series; Matrix methods; Enzyme kinetics; Approximate solutions; MICHAELIS-MENTEN KINETICS; ENZYME-KINETICS; APPROXIMATION; ASSUMPTION; VALIDITY;
D O I：
10.1007/s10910-022-01339-6
中图分类号：
O6 [化学];
学科分类号：
0703 ;
摘要：
The Michaelis-Menten-Briggs-Haldane approximation and its extension, the total quasi-steady-state approximation (tQSSA) are famous assumptions for simplification of mathematical modeling of enzyme-substrate reactions. These approximations and their validity conditions are well studied for a single substrate reaction system. However, the extension of these studies for the tQSSA of the general case of multiple substrate reactions is yet to be performed precisely due to the consequent non-linear expressions for tQSSA. In this paper, we introduce a linearization method for equations governing the tQSSA of multiple substrate reactions to obtain an analytical solution for the evolution of concentrations of reactants that is valid throughout the whole time period. In addition, we provide the validity conditions of the tQSSA for multiple substrate reaction systems using the singular perturbation analysis method.
引用
收藏
页码：841 / 861
页数：21
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