迈克尔斯-门顿和二阶动力学同步问题的解析解

IF 1.7 4区化学 Q4 CHEMISTRY, PHYSICAL

Reaction Kinetics, Mechanisms and Catalysis Pub Date : 2024-08-29 DOI:10.1007/s11144-024-02703-0

Alejandro Pérez Paz

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引用次数: 0

摘要

本文提出了结合迈克尔-门顿（MM）消耗和不可逆同二聚化过程的同步底物消除问题的解析解。隐式解涉及对数和反切函数，与微分方程的数值解完全一致。此外，还提出了广义动力学问题的解决方案，该问题同时结合了 MM 动力学与一阶和二阶过程。还给出了这些问题的半衰期和曲线下面积的精确表达式。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

Analytical solution to the simultaneous Michaelis-Menten and second-order kinetics problem

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Analytical solution to the simultaneous Michaelis-Menten and second-order kinetics problem

An analytic solution is presented for the simultaneous substrate elimination problem that combines Michaelis-Menten (MM) consumption with an irreversible homo-dimerization process. The implicit solution involves logarithm and inverse tangent functions and perfectly agrees with the numerical solution of the differential equation. A solution is also presented for the generalized dynamical problem that simultaneously combines MM kinetics with first and second-order processes. The exact expressions for the half-life and the area under the curve are also presented for these problems.

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来源期刊

Reaction Kinetics, Mechanisms and Catalysis CHEMISTRY, PHYSICAL-

CiteScore

3.30

自引率

5.60%

发文量

201

审稿时长

2.8 months

期刊介绍： Reaction Kinetics, Mechanisms and Catalysis is a medium for original contributions in the following fields: -kinetics of homogeneous reactions in gas, liquid and solid phase; -Homogeneous catalysis; -Heterogeneous catalysis; -Adsorption in heterogeneous catalysis; -Transport processes related to reaction kinetics and catalysis; -Preparation and study of catalysts; -Reactors and apparatus. Reaction Kinetics, Mechanisms and Catalysis was formerly published under the title Reaction Kinetics and Catalysis Letters.