Response surface models for effects of temperature, pH, and previous growth pH on growth kinetics of Salmonella typhimurium in brain heart infusion broth

Response surface models were developed for effects of temperature (15 to 40 degrees C), pH (5.2 to 7.4), and previous growth pH (5.7 to 8.6) on lag time (lambda) and specific growth rate (mu) of Salmonella Typhimurium in brain heart infusion broth (BHIB). Seventy-five growth curves for model development and 30 growth curves for model validation were fit to a two-phase linear growth model to obtain direct estimates of lambda and mu of Salmonella Typhimurium in BPIIB. Response surface models for natural logarithm transformations of lambda and mu as a function of temperature, pH, and previous growth pH were obtained by regression analysis. Previous growth pH did not alter (P > 0.05) or interact with temperature or pH to alter subsequent growth kinetics of Salmonella Typhimurium. However, lambda and mu of Salmonella Typhimurium in BHIB were affected (P < 0.05) by linear and quadratic effects of temperature and pH. The models were validated against data not used in their development. Mean absolute relative error of predictions (model accuracy) was 7.8% for lambda and 6.6% for mu. Median relative error of predictions (model bias) was -1.8% for lambda and -2.8% for mu. Results of the current study indicated that the models developed accurately predicted growth kinetics of Salmonella Typhimurium in BHIB within the matrix of factors modeled and that the range of previous growth pH (5.7 to 8.6) investigated did not alter the subsequent growth kinetics of Salmonella Typhimurium in BHIB.