Predictive modeling of microorganisms: LAG and LIP in monotonic growth

International Journal of Food Microbiology

Volumn 102, Issue 3, 2005, Pages 257-275

  Vadasz, Peter ^a   Vadasz, Alisa S ^a  

^a NORTHERN ARIZONA UNIVERSITY   (United States)

Author keywords

LAG phase; LIP; Microorganism growth; Population dynamics

Indexed keywords

ARTICLE; MATHEMATICS; MICROBIAL GROWTH; MICROBIAL POPULATION DYNAMICS; PREDICTION; QUALITATIVE ANALYSIS; QUANTITATIVE ANALYSIS; REPRODUCIBILITY; STATISTICAL MODEL; THEORETICAL MODEL; VALIDATION PROCESS;

BACTERIA; COLONY COUNT, MICROBIAL; FOOD MICROBIOLOGY; KINETICS; MODELS, BIOLOGICAL; PREDICTIVE VALUE OF TESTS;

EID: 21844466450     PISSN: 01681605     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijfoodmicro.2004.12.018     Document Type: Article

References (40)

1. H.R. Akçakaya, L.R. Ginzburg, D. Slice, and L.B. Slobodkin The theory of population dynamics: II. Physiological delays Bulletin of Mathematical Biology 50 5 1988 503 515
2. W.C. Alee Animal aggregations-a study in general sociology 1931 University of Chicago Press Chicago
3. J.C. Augustin, and V. Carlier Mathematical modelling of the growth rate and lag time for Listeria monocytogenes International Journal of Food Microbiology 56 2000 29 51
4. J. Baranyi Stochastic modelling of bacterial lag phase International Journal of Food Microbiology 73 2002 203 206
5. J. Baranyi, and T.A. Roberts A dynamic approach to predicting bacterial growth in food International Journal of Food Microbiology 23 1994 277 294
6. F. Baty, and M.L. Delignette-Muller Estimating the bacterial lag time: which model, which precision International Journal of Food Microbiology 91 2004 261 277
7. R.L. Buchanan, R.C. Whiting, and W.C. Damert When is simple good enough: a comparison of the Gompertz, Baranyi, and three-phase linear models for fitting bacterial growth curves Food Microbiology 14 1997 313 326
8. 2 environments International Journal of Food Microbiology 32 1996 133 144
9. A.M. Gibson, N. Bratchell, and T.A. Roberts Predicting microbial growth: growth responses of salmonellae in a laboratory medium as affected by pH, sodium chloride and storage temperature International Journal of Food Microbiology 6 1988 155 178
10. L.R. Ginzburg The theory of population dynamics: I. Back to first principles Journal of Theoretical Biology 122 1986 385 399
11. B. Gompertz On the nature of the function expressive of the law of human mortality, and a new mode of determining the value of life contingencies Philosophical Transactions of the Royal Society of London 115 1825 513 583
12. B.P. Hills, and K.M. Wright Multi-compartment kinetic models for injury, resuscitation, induced lag and growth in bacterial cell populations Food Microbiology 12 1995 333 346
13. G.E. Hutchinson Circular casual systems in ecology Annals of the New York Academy of Sciences 50 1948 211 246
14. T.R. Malthus An essay on the principle of population 1798 Penguin Harmondsworth, England
15. Sir Robert M. May Time-delay versus stability in population models with two and three trophic levels Ecology 54 1973 315 325
16. Sir Robert M. May Mathematical aspects of the dynamics of animal populations S.A. Levin Studies in mathematical biology: Part II. Populations and communities, studies in mathematics vol. 16 1978 The Mathematical Association of America 317 366
17. Sir Robert M. May Models for single populations Sir Robert M. May Theoretical ecology 1981 Blackwell Scientific Publications Oxford 5 29
18. P.J. McClure, J. Baranyi, E. Boogard, T.M. Kelly, and T.A. Roberts A predictive model for the combined effect of pH, sodium chloride and storage temperature on the growth of Brochothrix thermosphacta International Journal of Food Microbiology 19 1993 161 178
19. P.J. McClure, M.B. Cole, and K.W. Davies An example of the stages in the development of a predictive mathematical model for microbial growth: the effects of NaCl, pH and temperature on the growth of Aeromonas hydrophila International Journal of Food Microbiology 23 1994 359 375
20. R. McKellar, and X. Lu Modeling microbial responses in foods 2003 CRC Press Boca Raton 0-8493-1237-X
21. T.A. McMeekin, and T. Ross Predictive microbiology: providing a knowledge-based framework for change management International Journal of Food Microbiology 23 2002 359 375
22. T.A. McMeekin, J. Olley, D.A. Ratkowsky, and T. Ross Predictive microbiology: towards the interface and beyond International Journal of Food Microbiology 73 2002 395 407
23. W. Messen, J. Verluyten, F. Leroy, and L. De Vuyst Modelling growth and bacteriocin production by Lactobacillus curvatus LTH 1174 in response to temperature and pH values used for European sausage fermentation processes International Journal of Food Microbiology 81 2002 41 52
24. P.S. Meyer Bi-logistic growth Technological Forecasting & Social Change 47 1994 89 102
25. P.S. Meyer, and J.H. Ausubel Carrying capacity: a model with logistically varying limits Technological Forecasting & Social Change 47 1999 89 102
26. J. Monod Recherches sur la croissance des cultures bactériennes 1942 Herman Paris
27. L. O'Donovan, and J.D. Brooker Effect of hydrolysable and condensed tannins on growth, morphology and metabolism of Streptococcus gallolyticus (S. caprinus) and Streptococcus bovis Microbiology 147 2001 1025 1033
28. R. Pearl The growth of populations The Quarterly Review of Biology II 4 1927 532 548
29. S.J. Pirt Growth lag Principles of microbe and cell cultivation 1975 Blackwell London
30. F.J. Richards A flexible growth function for empirical use Journal of Experimental Botany 10 1959 290 300
31. F.E. Smith Population dynamics in Daphnia magma Ecology 44 1963 651 663
32. I.A.M. Swinnen, K. Bernaerts, E.J.J. Dens, A.H. Geeraerd, and J.F. Van Impe Predictive modeling of the microbial lag phase: a review International Journal of Food Microbiology 94 2004 137 159
33. A. Tsoularis, and J. Wallace Analysis of logistic growth models Mathematical Biosciences 179 2002 21 55
34. M.E. Turner Jr., E.L. Bradley Jr., and K.A. Kirk A theory of growth Mathematical Biosciences 29 1976 367 373
35. P. Vadasz, and A.S. Vadasz The neoclassical theory of population dynamics in spatially homogeneous environments: Part I. Derivation of universal laws and monotonic growth Physica. A 309 3-4 2002 329 359
36. P. Vadasz, and A.S. Vadasz The neoclassical theory of population dynamics in spatially homogeneous environments: Part II. Non-monotonic dynamics, overshooting and oscillations Physica. A 309 3-4 2002 360 380
37. P.F. Verhulst Notice sur la loi que la population suit dans son accroissement Corr. Math et Phys. Publ. par A. Quetelet T. X 1838 113 121
38. L. von Bertalanffy Quantitative laws in metabolism and growth Quarterly Review of Biology 32 1957 217
39. P.J. Wangersky, and W.J. Cunningham Time lag in population models Cold Spring Harbor Symposia on Quantitative Biology 22 1957 329 338
40. M.H. Zwietering, I. Jongenburger, F.M. Rombouts, and K. van't Riet Modeling of the bacterial growth curve Applied and Environmental Microbiology 56 1990 1875 1881