A mathematical model for bacterial inactivation

The first order kinetic model, the Buchanan model and Cerf's model, can model a linear survival curve, a survival curve with a shoulder and a survival curve with a tailing, respectively. However, they are not suitable for fitting a sigmoidal survival curve. The three models were integrated into...

Full description

Saved in:
Bibliographic Details
Published in:International journal of food microbiology 1999-01, Vol.46 (1), p.45-55
Main Authors: Xiong, R., Xie, G., Edmondson, A.E., Sheard, M.A.
Format: Article
Language:English
Subjects:
Bacterial inactivation
Biological and medical sciences
ECOLOGIA MICROBIANA
ECOLOGIE MICROBIENNE
FOOD HYGIENE
Food industries
Food Microbiology
Fundamental and applied biological sciences. Psychology
HIGIENE DE LOS ALIMENTOS
HYGIENE DES ALIMENTS
Kinetics
Linear Models
Mathematical modelling
MATHEMATICAL MODELS
MICROBIAL ECOLOGY
MODELE MATHEMATIQUE
MODELOS MATEMATICOS
Models, Biological
Numerical Analysis, Computer-Assisted
Regression Analysis
STAPHYLOCOCCUS AUREUS
Staphylococcus aureus - growth & development
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:The first order kinetic model, the Buchanan model and Cerf's model, can model a linear survival curve, a survival curve with a shoulder and a survival curve with a tailing, respectively. However, they are not suitable for fitting a sigmoidal survival curve. The three models were integrated into a new model that was capable of fitting the four most commonly observed survival curves: linear curves, curves with a shoulder, curves with a tailing (biphasic curves) and sigmoidal curves. The new model was compared with the Whiting–Buchanan model using the survival curves of Staphylococcus aureus. The goodness-of-fit of the proposed model is practically as good as that of the Whiting–Buchanan model. Compared with the Whiting–Buchanan model, the proposed model has a more mechanistic background. Since for non-linear survival curves, such as biphasic and sigmoidal curves, the t m−D value (the time required for an m-log-cycle reduction of microorganisms under a given condition) cannot be estimated accurately by the existing or traditional method, a new method is also proposed to predict accurately the t m−D value for non-linear survival curves.
ISSN:0168-1605
1879-3460
DOI:10.1016/S0168-1605(98)00172-X