Connection between stochastic and deterministic modelling of bacterial growth

Kutalik, Zoltán, Razaz, Moe and Baranyi, József (2005) Connection between stochastic and deterministic modelling of bacterial growth. Journal of Theoretical Biology, 232 (2). pp. 285-299. ISSN 0022-5193

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Abstract

We present in this paper various links between individual and population cell growth. Deterministic models of the lag and subsequent growth of a bacterial population and their connection with stochastic models for the lag and subsequent generation times of individual cells are analysed. We derived the individual lag time distribution inherent in population growth models, which shows that the Baranyi model allows a wide range of shapes for individual lag time distribution. We demonstrate that individual cell lag time distributions cannot be retrieved from population growth data. We also present the results of our investigation on the effect of the mean and variance of the individual lag time and the initial cell number on the mean and variance of the population lag time. These relationships are analysed theoretically, and their consequence for predictive microbiology research is discussed.

Item Type: Article
Faculty \ School: Faculty of Science > School of Computing Sciences
Related URLs:
Depositing User: Vishal Gautam
Date Deposited: 20 Jul 2011 13:07
Last Modified: 24 Jul 2019 16:14
URI: https://ueaeprints.uea.ac.uk/id/eprint/22628
DOI: 10.1016/j.jtbi.2004.08.013

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