Table 1.
Kinetics parameters calculated by Gompertz, Buchanan, and Whiting and Buchanan models for the behavior of Lactobacillus fermentum K73 during Refractance Window drying and regression analysis.
| Model | Temperature | Carrier material | Parameter | SS | RMSE | Bf | Af | R2 | Adj R2 |
|---|---|---|---|---|---|---|---|---|---|
| Gompertz model | 333 K | With | k = 0.000596 | 1.907 | 0.595 | 1.039 | 1.137 | 0.934 | 0.931 |
| L = 4278.217 | |||||||||
| Without | k = 0.00216 | 0.411 | 0.988 | 1.024 | 1.196 | 0.916 | 0.909 | ||
| L = 2964.1 | |||||||||
| 343 K | With | k = 0.00127 | 1.976 | 0.808 | 1.12 | 1.23 | 0.921 | 0.838 | |
| L = 3249.2 | |||||||||
| Without | k = 0.016335 | 10.545 | 0.572 | 0.554 | 1.88 | 0.996 | 0.996 | ||
| L = 2937.045 | |||||||||
| 353 K | With | k = 0.003608 | 15.754 | 3.176 | 0.799 | 2.105 | 0.984 | 0.982 | |
| L = 2710.274 | |||||||||
| Without | k = 0.018283 | 0.024 | 0.769 | 1.006 | 1.056 | 0.966 | 0.957 | ||
| L = 2374.917 | |||||||||
| Buchanan model | 333 K | With | D = 2426.7 | 5.491 | 0.731 | 1.118 | 1.428 | 0.942 | 0.94 |
| k = 0.000949 | |||||||||
| L = 1745.5 | |||||||||
| Without | D = 902 | 0.817 | 1.151 | 1.044 | 1.172 | 0.861 | 0.848 | ||
| k = 0.002553 | |||||||||
| L = 1296.2 | |||||||||
| 343 K | With | D = 1189.5 | 1.036 | 1.136 | 1.137 | 1.248 | 0.904 | 0.898 | |
| k = 0.001936 | |||||||||
| L = 1467.2 | |||||||||
| Without | D = 667 | 2.242 | 1.934 | 0.986 | 1.267 | 0.769 | 0.748 | ||
| k = 0.003452 | |||||||||
| L = 924.8 | |||||||||
| 353 K | With | D = 679.3 | 11.87 | 1.248 | 1.622 | 1.801 | 0.882 | 0.871 | |
| k = 0.00339 | |||||||||
| L = 1050.8 | |||||||||
| Without | D = 535 | 0.782 | 2.398 | 1.014 | 1.179 | 0.721 | 0.695 | ||
| k = 0.004304 | |||||||||
| L = 400.6 | |||||||||
| Whiting and Buchanan Model | 333 K | With | F = 0.681749 | 0.057 | 0.189 | 0.98 | 1.144 | 0.989 | 0.988 |
| b = 0.0590093 | |||||||||
| L = 3151.0998 | |||||||||
| c = 0.000986 | |||||||||
| Without | F = 0.6065192 | 1 | 0.623 | 0.988 | 1.164 | 0.951 | 0.946 | ||
| b = 0.0046736 | |||||||||
| L = 2991.5256 | |||||||||
| c = 0.1928 | |||||||||
| 343 K | With | F = 0.0000 | 4.165 | 0.851 | 0.822 | 1.452 | 0.827 | 0.811 | |
| b = 0.011974 | |||||||||
| L = 2356.3677 | |||||||||
| c = 0.0021641 | |||||||||
| Without | F = 0.9957 | 0 | 0.085 | 1 | 1 | 0.999 | 0.999 | ||
| b = 0.0266 | |||||||||
| L = 2923.0074 | |||||||||
| c = 0.096638 | |||||||||
| 353 K | With | F = 0.0000 | 5.711 | 0.275 | 0.091 | 11.314 | 0.99 | 0.989 | |
| b = 0.0171974 | |||||||||
| L = 2720.4911 | |||||||||
| c = 0.0083191 | |||||||||
| Without | F = 0.9928 | 1032.908 | 0.672 | 0.999 | 1 | 0.976 | 0.971 | ||
| b = 0.0262 | |||||||||
| L = 2280.8472 | |||||||||
| c = 0.0966 |
k = Inactivation rate (s−1), L = Lag phase (s), D = decimal reduction time (s), F = initial proportion in the less resistant fraction, b and c = model parameters, SS = Sum of squares, RSME = Root mean squared error, Bf = Bias factor, Af = Accuracy factor, R2 = R-squared, Adj R2 = Adjusted R-squared.