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Optimal production of secreted protein in fed‐batch reactors
Author(s) -
Park Seujeung,
Fred Ramirez W.
Publication year - 1988
Publication title -
aiche journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.958
H-Index - 167
eISSN - 1547-5905
pISSN - 0001-1541
DOI - 10.1002/aic.690340917
Subject(s) - optimal control , convergence (economics) , heterologous , maximization , bioreactor , bounded function , pontryagin's minimum principle , maximum principle , mathematics , mathematical optimization , secretory protein , trajectory , control theory (sociology) , secretion , computer science , control (management) , biology , gene , biochemistry , physics , mathematical analysis , astronomy , artificial intelligence , economics , economic growth , botany
The optimal control policy for the maximization of the secreted heterologous protein in a fed‐batch bioreactor was obtained using SEY2102 as a model host yeast and SUC2‐s2 as a model secretory protein. A dynamic model for host cell growth, gene expression, and the secretion of expressed polypeptides was formulated. The optimal system trajectory contains multiple singular arcs that are distinct from one another. Optimal control requires transitions between these singular arcs. Optimal transitions between multiple singular arcs with bounded controls are uniquely located in observance with the Minimum Principle of Pontryagin. An iterative numerical search strategy for determining the optimal control showed successful convergence properties.