Computer Analysis of Kinetic Data for Microbial Growth Thermograms Observed with a Batch Calorimeter

Abstract

Methods are investigated for evaluating the kinetic parameters in a modified Monod's equation which give the best fit to the growth thermograms for bacterial cultures observed in batch calorimeters. Four mathematical methods were employed as parameter fitting techniques. The growth thermograms observed for soil microbes cultured with glucose as a limiting substrate were used as the objects of the analysis. For the calculation of the heat evolution rate, the Runge-Kutta method, which is commonly used for the numerical analysis, was employed. A comparison of the results obtained by the four methods in terms of closeness of fit to the actual thermograms showed that optimization by direct searching with the Simplex method is the most effective procedure for obtaining the best values of the parameters to reproduce the observed thermograms.