A new logistic model for bacterial growth

Journal of the Food Hygienic Society of Japan

Volumn 44, Issue 3, 2003, Pages 155-160

  Fujikawa, Hiroshi ^a   Kai, Akemi ^a   Morozumi, Satoshi ^a  

^a TOKYO METROPOLITAN INSTITUTE OF PUBLIC HEALTH   (Japan)

Author keywords

Escherichia coli; Gompertz model; Growth; Logistic model; Mathematical model; Predictive microbiology; Salmonella

Indexed keywords

ARTICLE; BACTERIAL GROWTH; CONTROLLED STUDY; ECOLOGY; ESCHERICHIA COLI; GROWTH RATE; KINETICS; MATHEMATICAL MODEL; MICROBIOLOGY; NONHUMAN; SALMONELLA; TEMPERATURE DEPENDENCE;

BACTERIA (MICROORGANISMS); ESCHERICHIA COLI; SALMONELLA;

EID: 0042305104     PISSN: 00156426     EISSN: None     Source Type: Journal    
DOI: 10.3358/shokueishi.44.155     Document Type: Article

References (19)

1. Verhulst, P. F., Notice sur la loi que la population suit dans son accroissement. Corr. Math. et Phys. Publ. par A. Quetelet. TX, 113-121 (1838).
2. Pielou, E. C., An introduction to mathematical ecology. Wiley, New York, 1969.
3. Vadasz, A. S., Vadasz, P., Abashar, M. E., Gupthar, A. S., Recovery of an oscillatory mode of batch yeast growth in water for a pure culture. Int. J. Food Microbiol., 71, 219-234 (2001).
4. Hutchinson, G. E., Circular casual systems in ecology. Ann. N.Y. Acad. Sci., 50, 211-246 (1948).
5. Gibson, A. M., Bratchell, N., Roberts, T. A., The effect of sodium chloride and temperature on the rate and extent of growth of Clostridium botulinum type A in pasteurized pork slurry. J. Appl. Bacteriol., 62, 479-490 (1987).
6. McClure, P. J., Blackburn, C. de W., Cole, M. B., Curtis, P. S., Jones, J. E., Legan, J. D., Ogden, I. D., Peck, M. W., Roberts, T. A., Sutherland, J. P., Walker, S. J., Modelling the growth, survival and death of microorganisms in foods: the UK Food Micromodel approach. Int. J. Food Microbiol., 23, 265-275 (1994).
7. Baranyi, J., Roberts, T. A., McClure, P., A non-autonomous differential equation to model bacterial growth. Food Microbiol., 10, 43-59 (1993).
8. Taoukis, P. S., Labuza, T. P., Applicability of time-temperature indicators as shelf life monitors of food products. J. Food Sci., 54, 783-788 (1989).
9. Fu, B., Taoukis, P. S., Labuza, T. P., Predictive microbiology for monitoring spoilage of dairy products with time-temperature integrators. J. Food Sci., 56, 1,209-1,215 (1991).
10. Baranyi, J., Robinson, T, P., Kaloti, A., Mackey, B. M., Predicting growth of Brochothrix thermosphacta at changing temperature. Int. J. Food Microbiol., 27, 61-75 (1995).
11. Brocklehurst, T. F., Mitchell, G. A., Ridge, Y. P., Seale, R., Smith, A. C., The effect of transient temperatures on the growth of Salmonella typhimurium LT2 in gelatin gel. Int. J. Food Microbiol., 27, 45-60 (1995).
12. Van Impe, J. F., Nicolai, B. M., Schellekens, M., Martens, T., De Baerdemaeker, J., Predictive microbiology in a dynamic environment: A system theory approach. Int. J. Food Microbiol., 25, 227-249 (1995).
13. Grijspeerdt, K., Vanrolleghem, P., Estimating the parameters of the Baranyi model for bacterial growth. Food Microbiol., 16, 593-605 (1999).
14. Food and Drug Association, Bacteriological analytical manual, 8th Ed., Gaithersberg, AOAC International 1995.
15. Fujikawa, H., Morozumi, S., Smerage, G. H., Teixeira, A. A., Comparison of capillary and test tube procedures for analysis of thermal inactivation kinetics of mold spores. J. Food Prot., 63, 1,404-1,409 (2000).
16. Gibson, A. M., Bratchell, N., Roberts, T. A., Predicting microbial growth: growth responses of Salmonella in a laboratory medium as affected by pH, sodium chloride and storage temperature. Int. J. Food Microbiol., 6, 155-178 (1988).
17. Press, W. H., Flannery, B. P., Teukolsky, S. A., Vetterling, W. T., Numerical recipes. Cambridge University Press, Cambridge, UK, 1990.
18. McMeekin, T. A., Olley, J. N., Ross, T., Ratkowsky, D. A., Predictive Microbiology: Theory and Application. Research Studies Press, Taunton, UK, 1993.
19. Dalgaard, P., Modelling of microbial activity and prediction of shelf life for packed fresh fish. Int. J. Food Microbiol., 26, 305-317 (1995).