A much better replacement of the Michaelis-Menten equation and its application

doi:10.1142/S1793524519500086

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	A much better replacement of the Michaelis-Menten equation and its application
	Li, Banghe1,2 ; Li, Bo2 ; Shen, Yuefeng 1
	2019
发表期刊	INTERNATIONAL JOURNAL OF BIOMATHEMATICS
ISSN	1793-5245
卷号	12 期号:1 页码:22
摘要	Michaelis-Menten equation is a basic equation of enzyme kinetics and gives acceptable approximations of real chemical reaction processes. Analyzing the derivation of this equation yields the fact that its good performance of approximating real reaction processes is due to Michaelis-Menten curve (8). This curve is derived from Quasi-Steady-State Assumption (QSSA), which has been proved always true and called Quasi-Steady-State Law by Banghe Li et al. [Quasi-steady state laws in enzyme kinetics, J. Phys. Chem. A 112(11) (2008) 2311-2321]. Here, we found a polynomial equation with total degree of four A(S, E) = 0 (14), which gives more accurate approximation of the reaction process in two aspects: during the quasi-steady-state of the reaction, Michaelis-Menten curve approximates the reaction well, while our equation A(S, E) = 0 gives better approximation; near the end of the reaction, our equation approaches the end of the reaction with a tangent line the same to that of the reaction process trajectory simulated by mass action, while Michaelis-Menten curve does not. In addition, our equation A(S, E) = 0 differs to Michaelis-Menten curve less than the order of 1/S-3 as S approaches +infinity. By considering the above merits of A(S, E) = 0, we suggest it as a replacement of Michaelis-Menten curve. Intuitively, this new equation is more complex and harder to understand. But, just because of its complexity, it provides more information about the rate constants than Michaelis-Menten curve does. Finally, we get a better replacement of the Michaelis-Menten equation by combing A(S, E) = 0 and the equation dP/dt = k(2)C(t).
关键词	Rate constants of enzyme kinetics quasi-steady-state assumption quasi-steady-state law
DOI	10.1142/S1793524519500086
语种	英语
资助项目	National Natural Science Foundation of China[11301518]
WOS研究方向	Mathematical & Computational Biology
WOS类目	Mathematical & Computational Biology
WOS记录号	WOS:000457466600008
出版者	WORLD SCIENTIFIC PUBL CO PTE LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/32421
专题	系统科学研究所
通讯作者	Li, Banghe
作者单位	1.Chinese Acad Sci, Key Lab Math Mechanizat, Acad Math & Syst Sci, Beijing 100190, Peoples R China 2.Chinese Acad Sci, Natl Ctr Math & Interdisciplinary Sci, Beijing, Peoples R China
推荐引用方式 GB/T 7714	Li, Banghe,Li, Bo,Shen, Yuefeng. A much better replacement of the Michaelis-Menten equation and its application[J]. INTERNATIONAL JOURNAL OF BIOMATHEMATICS,2019,12(1):22.
APA	Li, Banghe,Li, Bo,&Shen, Yuefeng.(2019).A much better replacement of the Michaelis-Menten equation and its application.INTERNATIONAL JOURNAL OF BIOMATHEMATICS,12(1),22.
MLA	Li, Banghe,et al."A much better replacement of the Michaelis-Menten equation and its application".INTERNATIONAL JOURNAL OF BIOMATHEMATICS 12.1(2019):22.