A much better replacement of the Michaelis-Menten equation and its application
文献类型：期刊论文
| 作者 | Li, Banghe1,2 ; Li, Bo2; Shen, Yuefeng1
|
| 刊名 | INTERNATIONAL JOURNAL OF BIOMATHEMATICS
 |
| 出版日期 | 2019 |
| 卷号 | 12期号:1页码:22 |
| 关键词 | Rate constants of enzyme kinetics quasi-steady-state assumption quasi-steady-state law |
| ISSN号 | 1793-5245 |
| DOI | 10.1142/S1793524519500086 |
| 英文摘要 | 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). |
| 资助项目 | National Natural Science Foundation of China[11301518] |
| WOS研究方向 | Mathematical & Computational Biology |
| 语种 | 英语 |
| WOS记录号 | WOS:000457466600008 |
| 出版者 | WORLD SCIENTIFIC PUBL CO PTE LTD |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/32420]  |
| 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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