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Dynamic behavior of the chemostat subject to substrate inhibition
Author(s) -
Yano Toshimasa,
Koga Shozo
Publication year - 1969
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.260110204
Subject(s) - chemostat , substrate (aquarium) , steady state (chemistry) , limiting , stability (learning theory) , washout , phase plane , control theory (sociology) , property (philosophy) , plane (geometry) , biological system , state (computer science) , phase (matter) , thermodynamics , chemistry , mechanics , materials science , mathematics , physics , computer science , biology , engineering , ecology , philosophy , artificial intelligence , bacteria , genetics , geometry , control (management) , epistemology , quantum mechanics , machine learning , mechanical engineering , nonlinear system , meteorology , algorithm , organic chemistry
A theoretical study was made on the dynamic behavior of a single‐vessel continuous fermentation subject to a growth inhibition at, high concentration of the rate limiting substrate. Phase plane plotting and stability analysis showed three steady states to exist; namely, a “washout”; state, a nontrivial stable state, and an unstable state. Whether the system attains a nontrivial steady state or is to be washed‐out depends upon the initial values of the cell and/or substrate concentration(s). Since this property is a characteristic feature of the present system, an experimental procedure was suggested to insure a stable operation in practice.