An Azospirillum brasilense Sp7 strain containing a plasmid-borne translational cytN-gusA fusion was grown in a continuous culture to quantitatively evaluate the influence of extracellular signals (such as O₂) on expression of the cytNOQP operon. The dissolved oxygen concentration was shifted at regular time intervals before the steady state was reached. The measured -glucuronidase activity was used to monitor cytN gene expression. However, as the -glucuronidase activity in the experimental setup not only depended on altered transcription of the hybrid gene when the signal was varied but was also influenced by cellular accumulation, degradation, and dilution of the hybrid fusion protein, a mathematical method was developed to describe the intrinsic properties of the dynamic bioprocess. After identification and validation of the mathematical model, the apparent specific rate of expression of the fusion, which was independent of the experimental setup, could be deduced from the model and used to quantify gene expression regulated by extracellular environmental signals. In principle, this approach can be generalized to assess the effects of external signals on bacterial gene expression.