Use of modified Richards model to predict isothermal and non-isothermal microbial growth

Zwietering, 1991, Modeling of bacterial growth as a function of temperature, Appl Environ Microbiol, 57, 1094, 10.1128/AEM.57.4.1094-1101.1991 Li, 2013, Analysis of mathematical models of Pseudomonas spp. growth in pallet-package pork stored at different temperatures, Meat Sci, 93, 855, 10.1016/j.meatsci.2012.11.048 Lebert, 2006, Quantitative prediction of microbial behaviour during food processing using an integrated modeling approach: a review, Int J Refrig, 29, 968, 10.1016/j.ijrefrig.2006.04.008 Bruckner, 2013, A predictive shelf life model as a tool for the improvement of quality management in pork and poultry chains, Food Control, 29, 451, 10.1016/j.foodcont.2012.05.048 McDonald, 1999, Predictive food microbiology for the meat industry: a review, Int J Food Microbiol, 52, 1, 10.1016/S0168-1605(99)00126-9 Gibson, 1988, Predicting microbial growth: growth responses of Salmonellae in a laboratory medium as affected by pH, sodium chloride and storage temperature, Int J Food Microbiol, 6, 155, 10.1016/0168-1605(88)90051-7 Baranyi, 1993, A non-autonomous differential equation to model bacterial growth, Food Microbiol, 10, 43, 10.1006/fmic.1993.1005 Baranyi, 1994, A dynamic approach to predicting bacterial growth in food, Int J Food Microbiol, 23, 277, 10.1016/0168-1605(94)90157-0 Gospavic, 2008, Mathematical modelling for predicting the growth of Pseudomonas spp. in poultry under variable temperature conditions, Int J Food Microbiol, 127, 290, 10.1016/j.ijfoodmicro.2008.07.022 Zhou, 2012, Effect of combined function of temperature and water activity on the growth of Vibrio harveyi, Braz J Microbiol, 43, 1365, 10.1590/S1517-83822012000400018 Buchanan, 1997, When is simple good enough: a comparison of the Gompertz, Baranyi, and three-phase linear models for fitting bacterial growth curves, Food Microbiol, 14, 313, 10.1006/fmic.1997.0125 Baranyi, 1995, Mathematics of predictive food microbiology, Int J Food Microbiol, 26, 119, 10.1016/0168-1605(94)00121-L Longhi, 2013, Assessing the prediction ability of different mathematical models for the growth of Lactobacillus plantarum under non-isothermal conditions, J Theor Biol, 21, 88, 10.1016/j.jtbi.2013.06.030 Teleken, 2011, Mathematical modeling of microbial growth in milk, Cien Tec Alim, 31, 891, 10.1590/S0101-20612011000400010 Van Impe, 2005, Towards a novel class of predictive microbial growth models, Int J Food Microbiol, 100, 97, 10.1016/j.ijfoodmicro.2004.10.007 Ratkowsky, 1983, Model for bacterial culture growth rate throughout the entire biokinetic temperature range, J Bacteriol, 154, 1222, 10.1128/JB.154.3.1222-1226.1983 Ratkowsky, 1982, Relationship between temperature and growth rate of bacterial cultures, J Bacteriol, 149, 1, 10.1128/JB.149.1.1-5.1982 Buchanan, 1990, A mathematical approach toward defining and calculating the duration of the lag phase, Food Microbiol, 7, 237, 10.1016/0740-0020(90)90029-H Richards, 1959, A flexible growth function for empirical use, J Exp Bot, 10, 290, 10.1093/jxb/10.2.290 Koutsounamis, 2001, Predictive modeling of shelf life of fish under nonisothermal conditions, Appl Environ Microbiol, 67, 1821, 10.1128/AEM.67.4.1821-1829.2001 Ross, 1996, Indices for performance evaluation of predictive models in food microbiology, J Appl Bacteriol, 81, 501 Corradini, 2005, Estimating non-isothermal bacterial growth in foods from isothermal experimental data, J Appl Microbiol, 99, 187, 10.1111/j.1365-2672.2005.02570.x Lee, 2014, Comparison of two mechanistic microbial growth models to estimate shelf life of perishable food package under dynamic temperature conditions, Math Probl Eng, 1 Huang, 2008, Growth kinetics of Listeria monocytogenes in broth and beef frankfurters – determination of lag phase duration and exponential growth rate under isothermal conditions, J Food Sci, 73, 235, 10.1111/j.1750-3841.2008.00785.x Robazza, 2017, Application of a model based on the central limit theorem to predict growth of Pseudomonas spp. in fish meat, Food Bioprocess Technol, 10, 1685, 10.1007/s11947-017-1939-7 Li, 2014, Evaluating growth models of Pseudomonas spp. in seasoned prepared chicken stored at different temperatures by the principal component analysis (PCA), Food Microbiol, 40, 41, 10.1016/j.fm.2013.11.014 Koutsoumanis, 2006, Development of a microbial model for combined effect of temperature and pH on spoilage of ground meat, and validation of the model under dynamic temperature conditions, Appl Environ Microbiol, 72, 124, 10.1128/AEM.72.1.124-134.2006