Fig. 4From: Kinetics-based development of two-stage continuous fermentation of 1,3-propanediol from crude glycerol by Clostridium butyricumThe mathematical relation between the overall dilution rates \(\left( {D^{\prime}_{1} } \right)\) and the feeding rates of media \(\left( {D_{1} } \right)\) in the first stage continuous fermentationBack to article page