New Insights into Modelling Bacterial Growth with Reference to the Fish Pathogen Flavobacterium psychrophilum

Animals : an Open Access Journal From MDPI
Christopher D PowellJames France

Abstract

Two new models, based upon the principles promulgated by Baranyi and co-workers are presented and resulting growth functions evaluated based upon their ability to mimic bacterial growth of the fish pathogen Flavobacteriumpsychrophilum. These growth functions make use of a dampening function to suppress potential growth, represented by a logistic, and are derived from rate:state differential equations. Dampening effects are represented by a rectangular hyperbola or a simple exponential, incorporated into a logistic differential equation and solved analytically resulting in two newly derived growth equations, viz. logistic × hyperbola (log × hyp) and logistic × exponential (log × exp). These characteristics result in flexible and robust growth functions that can be expressed as equations with biologically meaningful parameters. The newly derived functions (log × hyp and log × exp), along with the Baranyi (BAR), simple logistic (LOG) and its modified form (MLOG) were evaluated based upon examination of residuals and measures of goodness-of-fit and cross-validation. Using these criteria, log × hyp, log × exp and BAR performed better than, or at least equally well as, LOG and MLOG. In contrast with log × exp and BAR, log × hyp can b...Continue Reading

References

Jan 1, 1981·Annual Review of Microbiology·H Reichenbach
Aug 1, 1995·International Journal of Food Microbiology·P Dalgaard
Nov 1, 1994·International Journal of Food Microbiology·J Baranyi, T A Roberts
Nov 1, 1994·International Journal of Food Microbiology·P DalgaardT A McMeekin
Sep 1, 1995·International Journal of Food Microbiology·J BaranyiB M Mackey
Nov 1, 1996·The Journal of Applied Bacteriology·T Ross
Aug 12, 1999·International Journal of Food Microbiology·J BaranyiT Ross
Sep 13, 2003·Shokuhin eiseigaku zasshi. Journal of the Food Hygienic Society of Japan·Hiroshi FujikawaSatoshi Morozumi
Sep 30, 2004·International Journal of Food Microbiology·S LópezJ France
Jun 1, 1990·Applied and Environmental Microbiology·M H ZwieteringK van 't Riet
May 13, 2008·Applied and Environmental Microbiology·Anne Rønnest StenholmMathias Middelboe
Nov 18, 2018·Folia Microbiologica·Lisa-Maria MauerhoferSimon K-M R Rittmann

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