Mathematical Modelling of Stereo Selective Synthesis of (1s,2s)-1-Phenylpropane-1,2-Diol By Cell-Freeextract of Lactobacillus Brevis
Abstract
Mathematical modelling of the mass balance equation of a batch reactor is developed on the basis of (1S, 2S)-1-PPD production and (S)-2-HPP reduction with and without coenzyme regeneration. The reaction rate equations are containing the nonlinear term based on this model. The enzymes are kinetically characterized and the kinetics are determined by using the initial rate method. The nonlinear batch reactor rate equations are solved analytically by using the new homotopy perturbation method (NHPM). In graphically, the effects of various kinetic parameters of all the concentrations are discussed. The relations between all the concentrations are also discussed. Comparing the analytical and simulation results (Scilab program) satisfactory result is achieved.