Macrokinetic basis for the model of microbial growth in a limited volume under constant conditions with a single leading substrate

Within the framework of the macrokinetic approach and continuum and chemical/biochemical gross reaction conceptions, an equation describing the complete dynamics of microbial growth and decline as function of a variable concentration of the leading substrate was deduced. This equation allows us to distinguish quantitatively and qualitatively the stages of microbial growth and the intervals of microbial tolerance to the initial concentration of the leading substrate. Adequacy of the model was confirmed by comparison with experimental dynamics of aerobic microorganisms in the samples of groundwater collected from a region polluted with uranium.