AbstractA mathematical model for the production of gramicidin S in batch and continuous culture is proposed. It is based on the division of the age of a cell into two phases—an immature and a mature one. A nongrowth associated product, such as an antibiotic, is assumed to be produced when the organism is in the older of these two phases, the mature state. The parameters describing the model were evaluated from batch and single stage transient continuous culture of Bacillus brevis, which produces the antibiotic gramicidin S. The predictive value of the model was studied in steady‐state single stage continuous culture and in a transient two stage system. Good agreement between the theoretical curves and the experimental results was found in the transient response of both the first and second stage systems, although at high dilution rates (0.34 hr−1) in the first stage, deviations from the predicted response were observed in the second stage. These may have been due to chemostat instability at dilution rates close to washout, lags in cell growth, and a metabolic lag on going from stage one to stage two.