In a biomass-driven bioprocess, the dissolved oxygen concentration (DOC) is controlled indirectly by controlling biomass concentration. Because the DOC depends not only on biomass concentration, but also on other factors (e.g. substrate concentration, efficiency of the aeration system), this solution may cause a decrease in the DOC below a critical level. To remedy this, in the presented article, a biomass-driven model that takes into account the DOC is developed and its accuracy is evaluated with experimental data. Then, the extended analyses and exemplary simulations of Acinetobacter calcoaceticus and Saccharomyces cerevisiae aerobic growth are carried out. The main aim of these analyses and simulations is the maximization of the biomass growth by ensuring good aerobic conditions and preventing against fermentation.