Open AccessGeneralized qualitative treatment of transition states and stability in a chemostat
Author(s) -
Bulder C.J.E.A.
Publication year - 1992
Publication title -
fems microbiology letters
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.899
H-Index - 151
eISSN - 1574-6968
pISSN - 0378-1097
DOI - 10.1111/j.1574-6968.1992.tb14037.x
Subject(s) - chemostat , perturbation (astronomy) , steady state (chemistry) , mathematics , stability (learning theory) , kinetic energy , perturbation theory (quantum mechanics) , simple (philosophy) , transient (computer programming) , product (mathematics) , stability theory , control theory (sociology) , statistical physics , physics , chemistry , computer science , classical mechanics , biology , nonlinear system , philosophy , genetics , geometry , control (management) , quantum mechanics , epistemology , machine learning , artificial intelligence , bacteria , operating system
Stability in a chemostat under conditions of either nutrient limitation or inhibitory product limitation is demonstrated by simple mathematical analysis without the use of calculus or numerical stimulation. Irrespective of the exact form of the kinetic equation, the steady‐state point will always be reached from any starting point and after any perturbation; only extreme situations might result in wash‐out in transient state. The treatment given applies only to unstructured systems, i.e. those governed by a single kinetic equation. In structured systems, which are governed by two or more kinetic equations, the concept of limitation by nutrient or by metabolic product applies to the steady state only.