The dynamic behavior of a continuous culture of Saccharomyces cerevisiae subjected to a sudden increase in the dilution rate has been successfully modelled for anaerobic growth on glucose, and for aerobic growth on acetate, on ethanol, and on glucose. The catabolism responded by an immediate jump whereas biosynthesis did not. Thus catabolism was in excess to anabolism. The model considers the decoupling between biosynthesis and catabolism, both types of reactions being modelled by first‐order kinetic expressions evolving towards maximal values. Yield parameters and maximal reaction rates were identified in steady state continuous cultures or during batch experiments. Only the time constant of biosynthesis regeneration, τX, and the time constant of catabolic capacity regeneration, τcat, had to be identified during transient experiments. In most experiments τX was around 3 h, and τcat varied between 2 and 2.5 h for the different metabolisms investigated. © 1998 John Wiley & Sons, Inc. Biotechnol Bioeng 60: 180–189, 1998.