Numerical analysis of coupled systems of ODEs and applications to enzymatic competitive inhibition by product

Yıl 2021, Cilt: 5 Sayı: 1, 58 - 71, 31.03.2021

Vinh Mai Thái Nhan

https://doi.org/10.31197/atnaa.820590

Öz

Enzymatic inhibition is one of the key regulatory mechanisms in cellular metabolism, especially the enzymatic competitive inhibition by product. This inhibition process helps the cell regulate enzymatic activities. In this paper, we derive a mathematical model describing the enzymatic competitive inhibition by product. The model consists of a coupled system of nonlinear ordinary differential equations for the species of interest. Using nondimensionalization analysis, a formula for product formation rate for this mechanism is obtained in a transparent manner. Further analysis for this formula yields qualitative insights into the maximal reaction velocity and apparent Michaelis-Menten constant. Integrating the model numerically, the effects of the model parameters on the model output are also investigated. Finally, a potential application of the model to realistic enzymes is briefly discussed.

Anahtar Kelimeler

Numerical analysis, mathematical model, product inhibition, hexokinase

Destekleyen Kurum

Thu Dau Mot University, Holy Names University

Teşekkür

VQM thanks Thu Dau Mot University for financial support. The work of TAN was supported by the Faculty Development Program, Holy Names University.

Kaynakça

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