In this paper, three models describing the population balance of microorganisms based on the assumption of symmetric cell division are discussed in terms of whether it is possible or not to use them to explain the dynamic behavior of the RBC. The ideal optimal control laws of the overall specific growth rate which maximizes the fermentative activity in the making of bread are obtained based on three models, It is a very interesting feature that the optimal pattern of μ becomes a bang-bang-type one based on both the Age and Mass models. Fed-batch culture according to the ideal optimal control coincides with a synchronously dividing culture. From the experimental study, the age model is shown to be most suitable for explaining the data. The optimal control policy is, for the most part, achieved experimentally by manipulating the glucose feed rate in the fed-batch culture and is shown to be valid. © 1985.
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