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

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