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马伊尼在数学酶动力学方面的诸多贡献:综述。

Maini's many contributions to mathematical enzyme kinetics: A review.

机构信息

Department of Mathematics, Kennesaw State University, 370 Paulding Ave. NW Kennesaw. GA 30144, USA.

出版信息

J Theor Biol. 2019 Nov 21;481:24-27. doi: 10.1016/j.jtbi.2018.12.003. Epub 2018 Dec 14.

Abstract

Modelling enzyme kinetics has a long history, as one of the earliest areas where mathematics was utilized to understand biological (in this case, biochemical) phenomena. By using differential equations and the law of mass action, many researchers have discovered information about the mechanisms of enzyme workings in the more than 100 years since Leonor Michaelis and Maud Menten published their classic paper in 1913. This work uses he laws obeyed by molecules during a reaction, translates them into mathematical equations, and then compares the results predicted by the equations to data obtained in laboratory conditions. This can inform whether the mechanism used to create the mathematical model is consistent with experimental results. Philip K. Maini has contributed to several significant results in the field of mathematical modelling in enzyme kinetics. Along with his collaborators, he has published results analyzing and extending the Quasi-Steady State Assumption, applying it to special enzyme reactions, and considering special conditions. This review paper will provide an overview of the contributions made by PK Maini to the field of modelling enzyme kinetics, summarize the main results and discuss their significance.

摘要

酶动力学建模历史悠久,它是最早利用数学来理解生物(在这种情况下是生化)现象的领域之一。自 1913 年 Leonor Michaelis 和 Maud Menten 发表经典论文以来,已有 100 多年的历史,许多研究人员通过使用微分方程和质量作用定律,发现了有关酶作用机制的信息。这项工作利用分子在反应过程中遵循的定律,将其转化为数学方程式,然后将方程式预测的结果与在实验室条件下获得的数据进行比较。这可以说明用于创建数学模型的机制是否与实验结果一致。Philip K. Maini 在酶动力学的数学建模领域做出了几项重要贡献。他与合作者一起发表了分析和扩展准稳态假设的结果,将其应用于特殊的酶反应,并考虑了特殊条件。这篇综述文章将概述 PK Maini 在酶动力学建模领域的贡献,总结主要结果并讨论其意义。

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