The theoretical relations between the induced initiation and accumulation of lac mRNA and its translation are derived, taking the kinetics of repressor-operator dissociation and enzyme maturation into account. These relations are used to evaluate observed data on lac induction and to estimate a number of parameters that characterize the transcription and translation of the beta-galactosidase gene in the bacterium Escherichia coli B/r growing at three different rates (0.7-2.1 doublings/h).
