A mathematical model of enzymatic reactions with Bi-Bi random mechanism and its applications

Abstract

Enzymes are biodegradable catalysts naturally present in living organisms, and they are able to accelerate biochemical reactions in the metabolism process. A wide range of applications of enzymes has been developed in biotechnology, industry, medicine, pharmaceuticals, food processing, biofuels, and so on. In this paper, we develop a novel mathematical model describing the enzymatic reactions with Bi-Bi random mechanism. The model consists of a coupled system of nonlinear ordinary differential equations for the species of interest. Using nondimensionalization analysis, a formula for the product formation rate for this mechanism is obtained in a straightforward manner. In order to obtain insights into the model behaviors, we use Python software to obtain numerical solutions for the model. Some discussions on the numerical results is provided. Finally, an application of the model to the phosphorylation of glucose by glucokinase enzyme is briefly discussed.