Enzymes are specialized biocatalysts. A lot of work was done by enzyme kineticists to achieve the present comprehension of the catalytic mechanisms of enzymes. The rates of enzymatic reactions depend on many factors, including the concentrations of the reactants, pH, temperature of the reaction medium, and mass transport effects. Mechanistic models and equations take into account all information concerning each specific enzyme process. This reduces the number of factors, and modeling stable in vitro enzymatic systems is done with easily evaluated models representing these factors. Mathematical modeling looks into ideal conditions to be faced by an enzyme catalyst, and it offers information about how the reactants and product concentrations can be affected, enzymatic activities, and parameter estimations to be carried out. These contribute to a wide variety of metabolic events that are important for survival. It helps develop treatment strategies in addition to improving knowledge about biological processes, particularly by grasping the mechanisms regulating enzymatic catalysis. In this paper, a broad variety of models that characterize enzymatic processes shall be considered. Models used range from the most classical kinetic frame to the most complex computer simulations.