Analysis of elementary enzymatic reaction equation system

Mathematical equations for enzymatic reaction kinetics usually cannot be solved analytically and require numeric methods of analysis. However, successful modeling some problems critically depends on our ability to obtain at least approximate analytical solution. This applies, for instance, to the mathematical model of real-time polymerase chain reaction which could be used to develop an efficient algorithm for experimental data processing. In the present paper, a novel approach to the analysis of enzymatic kinetics equation system is described which allows obtaining approximate analytic solutions expressing time course of reactant concentrations, with some limitations on reaction parameters.