Abstract
After reviewing the results for the Michaelis–Menten enzyme mechanism, both from the usual deterministic coupled differential equations of Chemical Kinetics and from the stochastic model of Gillespie, the first conclusion is that both, the smoothness of the concentration changes from the first model and the chaotic concentration fluctuations from the second model, are implied by the kind of mathematics used. I consider that neither the smoothness nor the chaotic fluctuations of the concentrations are real facts. In the new model developed here, the timeline is a sequence of equally spaced time points, at which concentration changes can occur; the time interval, τ, is to be selected by analyzing the results. The coupled algebraic equations resulting from the linear integration of the differential equations of the first model, instead of being solved, are used to extract the constraints of the Objective Function whose minimization renders the collective optimum values of the concentrations along the reaction path. One advantage of this model is that by adding the conservation of mass as an additional constraint in the Objective Function, a self-organized behavior is observed in this prebiotic system along with the chemical dynamics, which I consider real.