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In this paper we used the examples for four kinetic schemes under substrate and product inhibition of a biochemical reaction occurring in a real CSTR with Cholette’s model to demonstrate the strategy for high conversion and the multiplicity problem. In addition, it is found that the non-ideal mixing indeed influences the necessary and sufficient conditions for input multiplicity and output multiplicity. Meanwhile, for each of four kinetic schemes under substrate and product inhibition of a biochemical reaction, the input multiplicity regions are found inside the output multiplicity regions. This fact reveals that when deriving an operating strategy to obtain a high conversion and to avoid the control problem, only the output multiplicity is needed to consider even in the CSTR with the input and output multiplicity occurring simultaneously.

The strategy developed for high conversion and the multiplicity problems of biochemical reaction in a real CSTR with Cholette’s model