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Optimization of a stagewise biochemical reactor system with product feedback
Author(s) -
Wen C. Y.,
Chang T. M.,
Fan L. T.,
Ko Y. C.,
Knieper P. J.
Publication year - 1967
Publication title -
biotechnology and bioengineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.136
H-Index - 189
eISSN - 1097-0290
pISSN - 0006-3592
DOI - 10.1002/bit.260090202
Subject(s) - product (mathematics) , computation , volume (thermodynamics) , series (stratigraphy) , order (exchange) , mathematics , value (mathematics) , enzyme , combinatorics , chemistry , thermodynamics , physics , statistics , organic chemistry , algorithm , geometry , biology , economics , paleontology , finance
A consecutive, first‐order, irreversible, biochemical reaction, \documentclass{article}\pagestyle{empty}\begin{document}$ A{\textstyle{{k(\theta)} \over {{\rm Enzyme }1}}} \to B{\textstyle{{k(\theta)} \over {{\rm Enzyme 2}}}} \to C $\end{document} , taking place in a series of N reactors with product recycle is considered. A discrete version of the maximum principle is used to derive general equations necessary for maximizing the production of ( 1 ) the final product, C , by choosing the temperature or the pH value in each reactor, and ( 2 ) the intermediate product, B , by choosing the reactor volume. A numerical computation for a series of three reactors with recycle is illustrated. The effects of varying the recycle rates on the optimal state and decision variables are also presented.