A model of microbial growth in a plug flow reactor with wall attachment

Mary Ballyk, Hal Smith

Research output: Contribution to journalArticle

53 Citations (Scopus)

Abstract

A mathematical model of microbial growth for limiting nutrient in a plug flow reactor which accounts for the colonization of the reactor wall surface by the microbes is formulated and studied analytically and numerically. It can be viewed as a model of the large intestine or of the fouling of a commercial bio-reactor or pipe flow. 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 by the microbes. Only one steady state is stable for any particular set of parameter values. Sharp and explicit conditions are given for the stability of each, and for the long term persistence of the bacteria in the reactor.

Original languageEnglish (US)
Pages (from-to)95-126
Number of pages32
JournalMathematical Biosciences
Volume158
Issue number2
DOIs
StatePublished - May 1999

Fingerprint

Large Intestine
Pipe flow
Fouling
Reactor
Nutrients
microbial growth
Bacteria
Theoretical Models
Mathematical models
microorganisms
Food
Fluids
Growth
colonization
fouling
large intestine
pipes
Pipe Flow
Bioreactor
pipe flow

Keywords

  • Bacterial wall growth
  • Gut
  • Plug flow

ASJC Scopus subject areas

  • Agricultural and Biological Sciences(all)
  • Ecology, Evolution, Behavior and Systematics

Cite this

A model of microbial growth in a plug flow reactor with wall attachment. / Ballyk, Mary; Smith, Hal.

In: Mathematical Biosciences, Vol. 158, No. 2, 05.1999, p. 95-126.

Research output: Contribution to journalArticle

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