The Freter model: a simple model of biofilm formation

A simple, conceptual model of biofilm formation, due to R. Freter et al. (1983), is studied analytically and numerically in both CSTR and PFR. Two steady state regimes are identified, namely, the complete washout of the microbes from the reactor and the successful colonization of both the wall and b...

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Veröffentlicht in:	Journal of mathematical biology 2003-08, Vol.47 (2), p.137-152
Hauptverfasser:	Jones, Don, Kojouharov, Hristo V, Le, Dung, Smith, Hal
Format:	Artikel
Sprache:	eng
Schlagworte:	Algorithms Bacteria - growth & development Bacteria - metabolism Bacterial Adhesion - physiology Biofilms Biofilms - growth & development Biomass Bioreactors - microbiology Cell Division - physiology Colony Count, Microbial Computer Simulation Kinetics Models, Biological Studies Surface Properties
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Beschreibung
Zusammenfassung:	A simple, conceptual model of biofilm formation, due to R. Freter et al. (1983), is studied analytically and numerically in both CSTR and PFR. Two steady state regimes are identified, namely, the complete washout of the microbes from the reactor and the successful colonization of both the wall and bulk fluid. One of these is stable for any particular set of parameter values and sharp and explicit conditions are given for the stability of each. The effects of adding an anti-microbial agent to the CSTR are examined.
ISSN:	0303-6812 1432-1416
DOI:	10.1007/s00285-003-0202-1