The Freter model: A simple model of biofilm formation

Donald Jones; Hristo V. Kojouharov; Dung Le; Hal Smith

doi:10.1007/s00285-003-0202-1

The Freter model: A simple model of biofilm formation

Donald Jones, Hristo V. Kojouharov, Dung Le, Hal Smith

Mathematical and Statistical Sciences, School of (SoMSS)

Research output: Contribution to journal › Article › peer-review

23 Scopus citations

Abstract

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.

Original language	English (US)
Pages (from-to)	137-152
Number of pages	16
Journal	Journal Of Mathematical Biology
Volume	47
Issue number	2
DOIs	https://doi.org/10.1007/s00285-003-0202-1
State	Published - Aug 1 2003

Keywords

Biofilm
Continuously stirred tank reactor
Fouling
Modeling
Plug flow reactor

ASJC Scopus subject areas

Modeling and Simulation
Agricultural and Biological Sciences (miscellaneous)
Applied Mathematics

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10.1007/s00285-003-0202-1

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AB - 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.

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KW - Continuously stirred tank reactor

KW - Fouling

KW - Modeling

KW - Plug flow reactor

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The Freter model: A simple model of biofilm formation

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Keywords

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