Mathematical modeling and analysis for Michaelis-Menten kinetics

被引：0

作者：

Meral, Gulnihal ^{[1
]}

Altintan, Derya ^{[2
]}

机构：

[1] Ankara Yildirim Beyazit Univ, Dept Math, TR-06010 Ankara, Turkiye

[2] Hacettepe Univ, Dept Math, TR-06800 Ankara, Turkiye

来源：

JOURNAL OF MATHEMATICAL CHEMISTRY | 2025年

关键词：

Michaelis-Menten model; Conservation relations; Existence uniqueness theorems;

D O I：

10.1007/s10910-025-01739-4

中图分类号：

O6 [化学];

学科分类号：

0703 ;

摘要：

In this paper, the Michaelis-Menten dynamics are studied by reducing the original system to a new set of two nonlinear ordinary differential equations obtained via conservation relations and variable transformations. A stability analysis of the reduced system reveals the existence of a stable equilibrium point. The properties of boundedness, positivity, existence, and uniqueness of the solutions are established by constructing two sequences, which are subsequently proven to be Cauchy sequences. Finally, numerical simulations are performed to validate the theoretical results and illustrate the expected behavior of the model.

引用

页数：14

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