Modeling of bacterial growth as a function of temperature

The temperature of chilled foods is a very important variable for microbial safety in a production and distribution chain. To predict the number of organisms as a function of temperature and time, it is essential to model the lag time, specific growth rate, and asymptote (growth yield) as a function of temperature. The objective of this research was to determine the suitability and usefulness of different models, either available from the literature or newly developed. The models were compared by using an F test, by which the lack of fit of the models was compared with the measuring error. From the results, a hyperbolic model was selected for the description of the lag time as a function of temperature. Modified forms of the Ratkowsky model were selected as the most suitable model for both the growth rate and the asymptote as a function of temperature. The selected models could be used to predict experimentally determined numbers of organisms as a function of temperature and time.

[1]  P. Sharpe,et al.  Distribution model of organism development times. , 1977, Journal of theoretical biology.

[2]  Benjamin Gompertz,et al.  On the Nature of the Function Expressive of the Law of Human Mortality , 1815 .

[3]  M. Griffiths,et al.  The relation between temperature and growth of bacteria in dairy products , 1987 .

[4]  F. Rombouts,et al.  Modeling of the Bacterial Growth Curve , 1990, Applied and environmental microbiology.

[5]  J. Christophersen.  Basic Aspects of Temperature Action on Microorganisms , 1973 .

[6]  P. Sharpe,et al.  Non-linear regression of biological temperature-dependent rate models based on absolute reaction-rate theory. , 1981, Journal of theoretical biology.

[7]  D. Kilsby,et al.  Comparison of the Schoolfield (non-linear Arrhenius) model and the Square Root model for predicting bacterial growth in foods , 1989 .

[8]  J Olley,et al.  Relationship between temperature and growth rate of bacterial cultures , 1982, Journal of bacteriology.

[9]  Jon T. Schnute,et al.  A Versatile Growth Model with Statistically Stable Parameters , 1981 .

[10]  P. Sharpe,et al.  Reaction kinetics of nutrition dependent poikilotherm development. , 1980, Journal of theoretical biology.

[11]  D. Ratkowsky,et al.  Temperature function integration and its importance in the storage and distribution of flesh foods above the freezing point , 1973 .

[12]  S. Arrhenius.  Über die Reaktionsgeschwindigkeit bei der Inversion von Rohrzucker durch Säuren , 1889 .

[13]  A. N. Stokes,et al.  Model for bacterial culture growth rate throughout the entire biokinetic temperature range , 1983, Journal of bacteriology.

[14]  A. P. Williams,et al.  Temperature/growth relationships for psychrotrophic food-spoilage bacteria , 1985 .