The Freter model: A simple model of biofilm formation

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

Research output: Contribution to journalArticle

19 Citations (Scopus)

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 languageEnglish (US)
Pages (from-to)137-152
Number of pages16
JournalJournal of Mathematical Biology
Volume47
Issue number2
DOIs
StatePublished - Aug 2003

Fingerprint

Biofilm
Antimicrobial agents
Biofilms
Conceptual Model
Anti-Infective Agents
biofilm
Reactor
anti-infective agents
microorganisms
Fluid
Fluids
Model
fluids

Keywords

  • Biofilm
  • Continuously stirred tank reactor
  • Fouling
  • Modeling
  • Plug flow reactor

ASJC Scopus subject areas

  • Agricultural and Biological Sciences (miscellaneous)
  • Mathematics (miscellaneous)

Cite this

The Freter model : A simple model of biofilm formation. / Jones, Donald; Kojouharov, Hristo V.; Le, Dung; Smith, Hal.

In: Journal of Mathematical Biology, Vol. 47, No. 2, 08.2003, p. 137-152.

Research output: Contribution to journalArticle

Jones, Donald ; Kojouharov, Hristo V. ; Le, Dung ; Smith, Hal. / The Freter model : A simple model of biofilm formation. In: Journal of Mathematical Biology. 2003 ; Vol. 47, No. 2. pp. 137-152.
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