Temperature Dependent Growth Characteristics and a Predictive Mathematical Model of Salmonella enterica serovar Typhimurium in Kimbab

Abstract

The growth characteristics of Salmonella enterica serovar Typhimurium (S. Typhimurium) were evaluate for development of a polynomial model to predict the growth rates and lag time of S. Typhimurium in Kimbab as a function of temperature (5, 10, 20, 30, and 40°C). In all experimental variables, the primary growth curves fit well (r2=0.9071 to 0.9998). The predicted growth rates of S. Typhimurium generally decreased at lower temperature (10°C) and increased at high temperature (30, 40°C). In addition, the predicted lag times of S. Typhimurium generally decreased at high temperature (30, 40°C) and increased at low temperature (10δC). Results showed the polynomial model developed in the present study is an appropriate secondary model for determing growth rates and lag time on the basis of the correlation of coefficient (r2=0.9688 for specific growth rate (SGR), 0.9369 for lag time (LT)), coefficient of determination (r2=0.9138 for SGR, 0.8901 for LT), mean square error (mean square error (MSE)=0.0003 for SGR, 0.0417 for LT), bias factor (Bf=0.9936 for SGR, 0.8126 for LT) and accuracy factor (Af=1.0741 for SGR, 1.2834 for LT). Therefore, this secondary model was shown to reliably predict the maximum growth rates and lag times for S. Typhimurium in Kimbab.