Probabilistic model of microbial cell growth, division, and mortality.

Applied and Environmental Microbiology
Joseph HorowitzMicha Peleg

Abstract

After a short time interval of length deltat during microbial growth, an individual cell can be found to be divided with probability Pd(t)deltat, dead with probability Pm(t)deltat, or alive but undivided with the probability 1-[Pd(t)+Pm(t)]deltat, where t is time, Pd(t) expresses the probability of division for an individual cell per unit of time, and Pm(t) expresses the probability of mortality per unit of time. These probabilities may change with the state of the population and the habitat's properties and are therefore functions of time. This scenario translates into a model that is presented in stochastic and deterministic versions. The first, a stochastic process model, monitors the fates of individual cells and determines cell numbers. It is particularly suitable for small populations such as those that may exist in the case of casual contamination of a food by a pathogen. The second, which can be regarded as a large-population limit of the stochastic model, is a continuous mathematical expression that describes the population's size as a function of time. It is suitable for large microbial populations such as those present in unprocessed foods. Exponential or logistic growth with or without lag, inactivation with or with...Continue Reading

References

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Jan 13, 2006·International Journal of Food Microbiology·Maria G Corradini, Micha Peleg
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Oct 2, 2007·International Journal of Food Microbiology·Maria G Corradini, Micha Peleg
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Citations

Oct 1, 2011·Critical Reviews in Food Science and Nutrition·Micha Peleg, Maria G Corradini
Jun 14, 2013·Journal of the Royal Society, Interface·Evgeny B StukalinSean X Sun
May 11, 2010·Applied and Environmental Microbiology·Maria G CorradiniMicha Peleg
Jul 5, 2015·Journal of Hazardous Materials·Jennifer QuirósRoberto Rosal
Sep 3, 2013·Applied and Environmental Microbiology·Micha Peleg, Mark D Normand
May 25, 2010·Journal of Food Science·Maria G CorradiniMicha Peleg
Sep 26, 2012·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Dranreb Earl Juanico
Sep 9, 2019·Cell Systems·Ryan H HsuOphelia S Venturelli
Sep 7, 2021·Comprehensive Reviews in Food Science and Food Safety·Mohsen RanjbaranAshim K Datta

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