Table 7.
Growth parameters and their 95% confidence limits and coefficients of determination (r 2), SSE, and RMSE of fit obtained with different growth models for average plate count growth curves of Bacillus cereus INRA-AVTZ 415 at 30°C in BHI inoculating 10, 103, and 105 CFU mL−1 shown in Figure 3(a).
| Growth model | Initial concentration (CFU mL−1) | Lag time (h) | Growth rate (log cycles h−1) |
y
0
(log CFU mL−1) |
C
(log cycles) |
β | r 2 | SSE | RMSE |
|---|---|---|---|---|---|---|---|---|---|
| Three-phase linear | 10 | 2.75 (2.59–2.91) |
1.112 (1.073–1.115) |
1.343 (1.202–1.484) |
7.701 | 0.993 | 0.2880 | 0.2400 | |
| 103 | 2.92 (2.79–3.05) |
1.182 (1.121–1.138) |
3.414 (3.338–3.490) |
5.337 | 0.927 | 0.7295 | 0.4931 | ||
| 105 | 2.77 (2.64–2.91) |
1.143 (1.049–1.232) |
5.367 (5.289–5.444) |
3.372 | 0.920 | 0.8099 | 0.4025 | ||
|
| |||||||||
| Gompertz | 10 | 3.06 (2.59–3.52) |
1.276 (1.112–1.440) |
1.211 (0.983–1.440) |
9.049 (7.519–10.580) |
0.996 | 0.2846 | 0.1886 | |
| 103 | 3.30 (3.08–3.53) |
1.598 (1.380–1.816) |
3.403 (3.302–3.504) |
5.521 (5.284–5.757) |
0.998 | 0.0811 | 0.1007 | ||
| 105 | 3.00 (2.82–3.17) |
1.386 (1.206–1.565) |
5.319 (5.257–5.382) |
3.469 (3.363–3.574) |
0.999 | 0.0301 | 0.0613 | ||
|
| |||||||||
| Logistic | 10 | 3.04 (2.12–3.96) |
1.318 (1.081–1.556) |
0.914 (0.408–1.421) |
8.529 (6.904–10.150) |
0.992 | 0.5385 | 0.2595 | |
| 103 | 3.39 (3.00–3.79) |
1.651 (1.296–2.006) |
3.330 (3.154–3.507) |
5.433 (5.112–5.754) |
0.996 | 0.1747 | 0.1478 | ||
| 105 | 3.10 (2.84–3.36) |
1.451 (1.193–1.709) |
5.288 (5.194–5.381) |
3.461 (3.320–3.603) |
0.997 | 0.0551 | 0.0830 | ||
|
| |||||||||
| Richards | 10 | 3.06 (1.92–4.19) |
0.0006 (−4.543–4.544) |
1.211 (0.779–1.643) |
9.049 (5.176–12.920) |
0.00017 (−1.310–1.311) |
0.995 | 0.2846 | 0.2016 |
| 103 | 3.30 (3.05–3.55) |
0.004 (−2.950–2.958) |
3.403 (3.288–3.519) |
5.520 (5.229–5.812) |
0.0009 (−0.681–0.683) |
0.998 | 0.0811 | 0.1070 | |
| 105 | 3.02 (2.82–3.21) |
0.536 (−1.052–2.125) |
5.316 (5.247–5.385) |
3.460 (3.350–3.571) |
0.181 (−0.508–0.871) |
0.998 | 0.0275 | 0.0627 | |
|
| |||||||||
| Baranyi | 10 | 2.88 (2.39–3.37) |
1.187 (1.054–1.324) |
1.172 | 7.869 | 0.996 | 0.1792 | ||
| 103 | 3.09 (2.77–3.41) |
1.313 (1.137–1.324) |
3.360 | 5.387 | 0.997 | 0.1248 | |||
| 105 | 2.95 (2.75–3.15) |
1.275 (1.121–1.429) |
5.309 | 3.436 | 0.999 | 0.0604 | |||