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Auricle Global Society of Education and Research, India


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 di erential 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 e ects of the model parameters on the model output are also investigated. Finally, a potential application of the model to realistic enzymes is brie y discussed.


The authors’ publications in Advances in the Theory of Nonlinear Analysis and its Application (ATNAA) are distributed under Creative Commons Attribution (CC BY) license ( The license was developed to facilitate open access, namely, free immediate access to and unrestricted reuse of original works of all types.

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