Dynamics of enzymatic reaction according to the Michaelis-Menten kinetic formalism.

<p><i>S</i>, <i>E</i>, <i>C</i> and <i>P</i> denote the concentrations of the Substrate, Enzyme, substrate-enzyme Complex and Product respectively, <i>k_C</i> and <i>k_P</i> denote the rate constants of complex formation and product formation respectively, <i>k_CR</i> and <i>k_PR</i> the reverse reaction rate constants of complex dissociation into the enzyme and substrate and product reversibility to complex, respectively. <i>φ_I</i> corresponds to the substrate influx, <i>φ_O</i> to the product efflux, <i>φ_EI</i> to the influx of enzyme, <i>φ_EO</i> to the degradation of enzyme and <i>f</i> denotes the distribution of the total metabolic substrate flux into alternative pathways.