Development of a global stochastic model relating the distribution of individual cell and population physiological states

RC McKellar, X Lu - International journal of food microbiology, 2005 - Elsevier
Our ability to predict the lag (λ) prior to growth of foodborne pathogens is limited by our lack
of understanding of the physiological changes taking place in the individual cell during the …

Recent advances in predictive microbiology: theory and application of conversion from population dynamics to individual cell heterogeneity during inactivation …

S Koseki, K Koyama, H Abe - Current Opinion in Food Science, 2021 - Elsevier
Highlights•Development of stochastic modeling technique for bacterial inactivation is
reviewed.•Variability in survival cell numbers during inactivation process is described as …

Accounting for inherent variability of growth in microbial risk assessment

HM Marks, ME Coleman - International journal of food microbiology, 2005 - Elsevier
Risk assessments of pathogens need to account for the growth of small number of cells
under varying conditions. In order to determine the possible risks that occur when there are …

Development of a dynamic continuous‐discrete‐continuous model describing the lag phase of individual bacterial cells

RC McKellar - Journal of Applied Microbiology, 2001 - academic.oup.com
Aims: A previous model for adaptation and growth of individual bacterial cells was not
dynamic in the lag phase, and could not be used to perform simulations of growth under non …

Modeling the history effect on microbial growth and survival: deterministic and stochastic approaches

J Baranyi, C Pin - Modeling microbial responses in food, 2004 - books.google.com
The objective of food safety microbiology is to eliminate or at least significantly reduce the
concentration of pathogenic microbes in food and to prevent their resuscitation and …

Predictive food microbiology: a probabilistic approach

BM Nicolaï, JF Van Impe - Mathematics and Computers in Simulation, 1996 - Elsevier
An existing mathematical model for microbial growth and inactivation in dynamically
changing temperature conditions has been modified to explain the experimentally observed …

Probabilistic model of microbial cell growth, division, and mortality

J Horowitz, MD Normand, MG Corradini… - Applied and …, 2010 - Am Soc Microbiol
After a short time interval of length δ t during microbial growth, an individual cell can be
found to be divided with probability Pd (t) δ t, dead with probability Pm (t) δ t, or alive but …

Microbial modeling in foods

RC Whiting - Critical Reviews in Food Science & Nutrition, 1995 - Taylor & Francis
Predictive food microbiology is a field of study that combines elements of microbiology,
mathematics, and statistics to develop models that describe and predict the growth or …

Do bacterial cell numbers follow a theoretical Poisson distribution? Comparison of experimentally obtained numbers of single cells with random number generation …

K Koyama, H Hokunan, M Hasegawa, S Kawamura… - Food …, 2016 - Elsevier
We investigated a bacterial sample preparation procedure for single-cell studies. In the
present study, we examined whether single bacterial cells obtained via 10-fold dilution …

Application of growth rate from kinetic model to calculate stochastic growth of a bacteria population at low contamination level

K Koyama, S Hiura, H Abe, S Koseki - Journal of Theoretical Biology, 2021 - Elsevier
Traditional predictive microbiology is not suited for cell growth predictions for low-level
contamination, where individual cell heterogeneity becomes apparent. Accordingly, we …