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Bistability in a model of microbial product formation
Author(s) -
Guthke R.,
Knorre W. A.
Publication year - 1980
Publication title -
zeitschrift für allgemeine mikrobiologie
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.58
H-Index - 54
eISSN - 1521-4028
pISSN - 0044-2208
DOI - 10.1002/jobm.19800200703
Subject(s) - bistability , substrate (aquarium) , kinetics , product (mathematics) , steady state (chemistry) , limiting , chemistry , product inhibition , thermodynamics , fermentation , bacterial growth , growth rate , biomass (ecology) , chemical physics , materials science , physics , mathematics , ecology , biology , bacteria , food science , biochemistry , classical mechanics , engineering , enzyme , mechanical engineering , geometry , optoelectronics , non competitive inhibition , genetics
A mathematical model of continuous growth of microorganisms and product formation with growth inhibition by the product is presented and investigated. Two stable steady states occur due to the competition of growth and product formation for the same limiting substrate. One stable state is characterized by a high product concentration but low biomass concentration whereas the other state is characterized by the opposite relations. The first steady state is approached by oscillating kinetics. Both phenomena are consistent with frequently observed kinetic instabilities in industrial fermentation processes.