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Title: Dynamic mathematical model to predict microbial growth and degradation during food processing
Authors: Van Impe, Jan ×
Nicolai, Bart
Martens, Toon
De Baerdemaeker, Josse
Vandewalle, Joos #
Issue Date: 1992
Publisher: Amer soc microbiology
Series Title: Applied and Environmental Microbiology vol:58 issue:9 pages:2901-2909
Abstract: Many sigmoidal functions to describe a bacterial growth curve as an explicit function of time have been reported in the literature. Furthermore, several expressions have been proposed to model the influence of temperature on the main characteristics of this growth curve: maximum specific growth rate, lag time, and asymptotic level. However, as the predictive value of such explicit models is most often guaranteed only at a constant temperature within the temperature range of microbial growth, they are less appropriate in optimization studies of a whole production and distribution chain. In this paper a dynamic mathematical model-a first-order differential equation-has been derived, describing the bacterial population as a function of both time and temperature. Furthermore, the inactivation of the population at temperatures above the maximum temperature for growth has been incorporated. In the special case of a constant temperature, the solution coincides exactly with the corresponding Gompertz model, which has been validated in several recent reports. However, the main advantage of this dynamic model is its ability to deal with time-varying temperatures, over the whole temperature range of growth and inactivation. As such, it is an essential building block in (time-saving) simulation studies to design, e.g., optimal temperature-time profiles with respect to microbial safety of a production and distribution chain of chilled foods.
Description: \emph{Applied and Environmental Microbiology}, vol.58, no.9, 1992
ISSN: 0099-2240
Publication status: published
KU Leuven publication type: IT
Appears in Collections:Division of Mechatronics, Biostatistics and Sensors (MeBioS)
Bio- & Chemical Systems Technology, Reactor Engineering and Safety Section
ESAT - STADIUS, Stadius Centre for Dynamical Systems, Signal Processing and Data Analytics
× corresponding author
# (joint) last author

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