Table 2.
Growth parameters and their 95% confidence limits and coefficients of determination (r 2), SSE, and RMSE of fit obtained with different growth models for the average OD growth curves of Bacillus cereus INRA-AVTZ 415 at 30°C in BHI inoculating 102, 104, and 106 CFU mL−1 shown in Figure 1(a).
Growth model | Initial concentration (CFU mL−1) | Lag time (h) | Growth rate (OD units h−1) |
y
0
(OD units) |
C
(OD units) |
β | r 2 | SSE | RMSE |
---|---|---|---|---|---|---|---|---|---|
Three-phase linear | 102 | 7.81 (7.68–7.94) |
0.269 (0.253–0.285) |
0.130 (0.042–0.217) |
1.056 | 0.994 | 0.0034 | 0.0207 | |
104 | 5.47 (5.29–5.66) |
0.304 (0.274–0.334) |
0.140 (0.019–0.261) |
0.999 | 0.989 | 0.0042 | 0.0268 | ||
106 | 2.82 (2.68–2.95) |
0.293 (0.273–0.312) |
0.180 (0.027–0.332) |
0.975 | 0.994 | 0.0032 | 0.0215 | ||
| |||||||||
Gompertz | 102 | 7.95 (7.87–8.03) |
0.312 (0.301–0.329) |
0.117 (0.109–0.124) |
1.107 (1.095–1.120) |
0.999 | 0.0166 | 0.0179 | |
104 | 5.50 (5.35–5.64) |
0.342 (0.314–0.370) |
0.118 (0.103–0.133) |
1.078 (1.050–1.106) |
0.996 | 0.0281 | 0.0283 | ||
106 | 2.87 (2.69–3.04) |
0.349 (0.315–0.382) |
0.142 (0.119–0.166) |
1.057 (1.019–1.095) |
0.995 | 0.0252 | 0.0311 | ||
| |||||||||
Logistic | 102 | 8.01 (7.97–8.06) |
0.313 (0.307–0.319) |
0.105 (0.102–0.109) |
1.104 (1.099–1.110) |
0.999 | 0.0031 | 0.0077 | |
104 | 5.56 (5.47–5.65) |
0.345 (0.329–0.360) |
0.105 (0.096–0.150) |
1.070 (1.056–1.085) |
0.999 | 0.0081 | 0.0152 | ||
106 | 2.87 (2.75–2.99) |
0.347 (0.329–0.365) |
0.114 (0.098–0.110) |
1.066 (1.045–1.088) |
0.999 | 0.0070 | 0.0164 | ||
| |||||||||
Richards | 102 | 8.00 (7.96–8.05) |
0.303 (0.285–0.321) |
0.106 (0.103–0.110) |
1.104 (1.099–1.110) |
0.911 (0.769–1.054) |
0.999 | 0.0030 | 0.0076 |
104 | 5.63 (5.54–5.72) |
0.401 (0.373–0.429) |
0.096 (0.086–0.100) |
1.071 (1.058–1.084) |
1.693 (1.257–2.130) |
0.999 | 0.0060 | 0.0132 | |
106 | 2.85 (2.75–2.95) |
0.420 (0.400–0.439) |
0.071 (0.048–0.090) |
1.099 (1.076–1.122) |
2.490 (1.823–3.158) |
0.999 | 0.0029 | 0.0108 | |
| |||||||||
Baranyi | 102 | 7.80 (7.70–7.90) |
0.275 (0.264–0.286) |
0.155 | 1.047 (1.040–1.054) |
0.999 | 0.0155 | ||
104 | 5.40 (5.29–5.51) |
0.307 (0.291–0.323) |
0.141 | 1.020 (1.010–1.030) |
0.999 | 0.0178 | |||
106 | 2.76 (2.66–2.87) |
0.312 (0.298–0.326) |
0.152 | 1.015 (1.006–1.023) |
0.999 | 0.0148 |