Microbial competition for nutrient in a 3D flow reactor

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

Microbial competition for nutrient in a 3D flow reactor

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

Mathematical and Statistical Sciences, School of (SoMSS)

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

1 Scopus citations

Abstract

We study the dynamics of a mathematical model of one or more bacterial strains competing for a growth limiting substrate in a cylindrical flow reactor. In previous work, the authors have investigated the case where bacteria can also colonize the lateral boundary surface of the cylinder forming a biofilm. In order to better understand the effects of wall colonization, it is important to have a reference model with which one can compare the dynamics. Our purpose here is to provide such a reference model where wall growth is not allowed and to study its dynamics.

Original language	English (US)
Pages (from-to)	57-67
Number of pages	11
Journal	Dynamics of Continuous, Discrete and Impulsive Systems Series B: Applications and Algorithms
Volume	10
Issue number	1-3
State	Published - Feb 2003

Keywords

Coexistence
Competition
Flow reactor
Parabolic system
Steady state

ASJC Scopus subject areas

Discrete Mathematics and Combinatorics
Applied Mathematics

Cite this

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abstract = "We study the dynamics of a mathematical model of one or more bacterial strains competing for a growth limiting substrate in a cylindrical flow reactor. In previous work, the authors have investigated the case where bacteria can also colonize the lateral boundary surface of the cylinder forming a biofilm. In order to better understand the effects of wall colonization, it is important to have a reference model with which one can compare the dynamics. Our purpose here is to provide such a reference model where wall growth is not allowed and to study its dynamics.",

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AB - We study the dynamics of a mathematical model of one or more bacterial strains competing for a growth limiting substrate in a cylindrical flow reactor. In previous work, the authors have investigated the case where bacteria can also colonize the lateral boundary surface of the cylinder forming a biofilm. In order to better understand the effects of wall colonization, it is important to have a reference model with which one can compare the dynamics. Our purpose here is to provide such a reference model where wall growth is not allowed and to study its dynamics.

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KW - Parabolic system

KW - Steady state

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ER -

Microbial competition for nutrient in a 3D flow reactor

Abstract

Keywords

ASJC Scopus subject areas

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