Bacteriophage and Bacteria in a Flow Reactor

Donald Jones; Hal Smith

doi:10.1007/s11538-010-9626-0

Bacteriophage and Bacteria in a Flow Reactor

Donald Jones, Hal Smith

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

8 Scopus citations

Abstract

The Levin-Stewart model of bacteriophage predation of bacteria in a chemostat is modified for a flow reactor in which bacteria are motile, phage diffuse, and advection brings fresh nutrient and removes medium, cells and phage. A fixed latent period for phage results in a system of delayed reaction-diffusion equations with non-local nonlinearities. Basic reproductive numbers are obtained for bacteria and for phage which predict survival of each in the bio-reactor. These are expressed in terms of physical and biological parameters. Persistence and extinction results are obtained for both bacteria and phage. Numerical simulations are in general agreement with those for the chemostat model.

Original language	English (US)
Pages (from-to)	2357-2383
Number of pages	27
Journal	Bulletin of mathematical biology
Volume	73
Issue number	10
DOIs	https://doi.org/10.1007/s11538-010-9626-0
State	Published - Oct 2011

Keywords

Bacteriophage
Persistence

ASJC Scopus subject areas

General Neuroscience
Immunology
General Mathematics
General Biochemistry, Genetics and Molecular Biology
General Environmental Science
Pharmacology
General Agricultural and Biological Sciences
Computational Theory and Mathematics

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10.1007/s11538-010-9626-0

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title = "Bacteriophage and Bacteria in a Flow Reactor",

abstract = "The Levin-Stewart model of bacteriophage predation of bacteria in a chemostat is modified for a flow reactor in which bacteria are motile, phage diffuse, and advection brings fresh nutrient and removes medium, cells and phage. A fixed latent period for phage results in a system of delayed reaction-diffusion equations with non-local nonlinearities. Basic reproductive numbers are obtained for bacteria and for phage which predict survival of each in the bio-reactor. These are expressed in terms of physical and biological parameters. Persistence and extinction results are obtained for both bacteria and phage. Numerical simulations are in general agreement with those for the chemostat model.",

keywords = "Bacteriophage, Persistence",

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AB - The Levin-Stewart model of bacteriophage predation of bacteria in a chemostat is modified for a flow reactor in which bacteria are motile, phage diffuse, and advection brings fresh nutrient and removes medium, cells and phage. A fixed latent period for phage results in a system of delayed reaction-diffusion equations with non-local nonlinearities. Basic reproductive numbers are obtained for bacteria and for phage which predict survival of each in the bio-reactor. These are expressed in terms of physical and biological parameters. Persistence and extinction results are obtained for both bacteria and phage. Numerical simulations are in general agreement with those for the chemostat model.

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Bacteriophage and Bacteria in a Flow Reactor

Abstract

Keywords

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