Numerical solution of a microbial growth model applied to dynamic environments

Journal of Microbiological Methods
Si Zhu, Guibing Chen

Abstract

The Baranyi and Roberts model is one of the most frequently used microbial growth models. It has been successfully applied to numerous studies of various microorganisms in different food products. Under dynamic conditions, the model is implicitly formulated as a set of two coupled differential equations which could be numerically solved using the Runge-Kutta method. In this study, a simplified numerical solution of the coupled differential equations was derived and used to simulate microbial growth under dynamic conditions in Microsoft Excel. As expected, the results obtained were the same as those from solving the coupled differential equations using a MATLAB Solver. In addition, model parameters were accurately identified by fitting the numerical solution to simulated growth curves under dynamic (time-varying) temperature conditions using the Microsoft Excel Solver.

References

Nov 1, 1994·International Journal of Food Microbiology·J Baranyi, T A Roberts
Oct 6, 2000·International Journal of Food Microbiology·R BovillJ Baranyi
Apr 28, 2005·International Journal of Food Microbiology·J F Van ImpeK M Vereecken
Jun 28, 2005·International Journal of Food Microbiology·Shigenobu Koseki, Seiichiro Isobe
Sep 1, 2006·Food Microbiology·Hiroshi Fujikawa, Satoshi Morozumi
Oct 7, 2008·International Journal of Food Microbiology·E Van DerlindenJ F Van Impe
Apr 23, 2011·Food Microbiology·Padmanabha Reddy VelugotiHarshavardhan Thippareddi
Jan 17, 2012·International Journal of Food Microbiology·Guibing Chen, Osvaldo H Campanella
Mar 4, 2014·International Journal of Food Microbiology·Guiomar D Posada-IzquierdoGonzalo Zurera

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Citations

Mar 24, 2016·Food Science & Nutrition·Si Zhu, Guibing Chen

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