

@article {9136,
	title = {{A mathematical model for bacterial inactivation}},
	journal = {International Journal of Food Microbiology},
	volume = {46},
	number = {1},
	year = {1999},
	pages = {45{\textendash}55},
	abstract = {The first order kinetic model, the Buchanan model and Cerf{\textquoteright}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.},
	keywords = {Bacterial inactivation, Mathematical modelling},
	author = {Xiong, R. and Xie, G. and Edmondson, A. E. and Sheard, M. A.}
}
