Substrate inhibition kinetics for penicillin production was originally proposed by Bajpai and Reuss  to successfully represent the observed experimental behavior. They commented that the proposed mechanism should not be considered to throw any light upon the nature of phenomena involved. Others point out that industrial strains of penicillin production are tolerant to high levels of glucose and question the use of substrate inhibition terms in Eq. 2.50. Large quantities of substrate results in only little improvement in penicillin production.
The utilization of each of the two substrate (glucose and oxygen) largely for biomass growth, and penicillin formation, and cell maintenance . The mass balances for glucose and oxygen for the variable volume fed-batch operation therefore are
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