Division synchrony and the dynamics of microbial populations: A size- specific model
type: Item
instance of: scholarly article
title: Division synchrony and the dynamics of microbial populations: A size- specific model
zbMATH Open document ID: 0551.92016
DOI: 10.1016/0040-5809(84)90035-2
author: Timothy B. Gage
author: F. M. Williams
author: J. Brian Horton
published in: Theoretical Population Biology
publication date: 1984-01-01T00:00:00Z
review text: A discrete, environmentally coupled, size-specific model of microbial population dynamics in continuous culture is presented. It is mathematically simpler than other models based on similar assumptions and lends itself to numerical and analytic solutions. It displays several phenomena which have been reported in the experimental literature but which are not well understood; specifically, a loose relationship between biomass and numbers (i.e., a time lag between mass growth and cell division) and a critical damping of biomass while numbers continue to oscillate. In addition, the model provides several new predictions: The stable biomass distribution is independent of the environmental factors considered in the model and uniformly distributes the biomass among the size classes. The rate of approach to stability and the frequency of waves through the size distributions are a function of the flow rate and the variance in rate of growth and size at division. The model should provide a useful basis for studying the effects of size specificity on the dynamics of microbial populations cultured in chemostats.
Mathematics Subject Classification ID: 92D25
Mathematics Subject Classification ID: 92Cxx
zbMATH DE Number: 3878742
zbMATH Keywords: division synchrony
zbMATH Keywords: discrete, environmentally coupled, size-specific model
zbMATH Keywords: microbial population dynamics
zbMATH Keywords: continuous culture
zbMATH Keywords: numerical and analytic solutions
zbMATH Keywords: mass growth
zbMATH Keywords: cell division
zbMATH Keywords: critical damping of biomass
zbMATH Keywords: biomass distribution
zbMATH Keywords: effects of size specificity
zbMATH Keywords: chemostats
Wikidata QID: Q47232756
MaRDI profile type: Publication
full work available at URL: 0040-5809(84)90035-2
OpenAlex ID: W2020114168
cites work: Q5580197
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cites work: Monte Carlo simulation of microbial population growth
cites work: On the solution of statistical models of cell populations
description: scientific article; zbMATH DE number 3878742