Biological implications from an autonomous version of Baranyi and Roberts growth model

An autonomous version of Baranyi and Roberts model ( Int. J. Food Microbiology, 23, 1994, pp. 277–294) is developed and analyzed to reveal some subtle points, which are difficult to observe accurately from its equivalent non-autonomous form. In particular we are able to provide a meaningful interpre...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:International journal of food microbiology 2007-03, Vol.114 (3), p.357-365
Hauptverfasser: Vadasz, Peter, Vadasz, Alisa S.
Format: Artikel
Sprache:eng
Schlagworte:
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:An autonomous version of Baranyi and Roberts model ( Int. J. Food Microbiology, 23, 1994, pp. 277–294) is developed and analyzed to reveal some subtle points, which are difficult to observe accurately from its equivalent non-autonomous form. In particular we are able to provide a meaningful interpretation to the “physiological state of the cells at inoculation”, a parameter introduced by Baranyi and Roberts [Baranyi, J., Roberts, T. A., 1994. A dynamic approach to predicting bacterial growth in food. International Journal of Food Microbiology 23, 277–294] that has a profound impact on microbial growth but is not a direct measurable quantity. In addition, the analysis shows that the transient growth depends on the initial cell concentration and the initial growth rate, but is independent of “the history of the cells” and depends only indirectly (via the initial growth rate) on the previous (pre-inoculation) environment. The stationary solution is independent of the initial conditions. A new, more natural, and biologically meaningful formulation of LAG duration is being suggested in terms of initial conditions being in the neighborhood of one of the unstable stationary points revealed by this autonomous version of the model.
ISSN:0168-1605
1879-3460
DOI:10.1016/j.ijfoodmicro.2006.10.010