Table 3.
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 Listeria monocytogenes CECT 4031 at 37°C in TSB+YE inoculating 102, 104, and 106 CFU mL−1 shown in Figure 1(b).
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 | 19.11 (18.96–19.27) |
0.163 (0.154–0.173) |
0.142 (0.069–0.214) |
0.742 | 0.994 | 0.0013 | 0.0127 | |
104 | 14.61 (14.42–14.81) |
0.173 (0.159–0.187) |
0.143 (0.065–0.222) |
0.724 | 0.989 | 0.0026 | 0.0181 | ||
106 | 8.79 (8.23–9.35) |
0.150 (0.126–0.174) |
0.149 (0.072–0.227) |
0.712 | 0.930 | 0.0490 | 0.0614 | ||
| |||||||||
Gompertz | 102 | 18.99 (18.87–19.10) |
0.169 (0.161–0.177) |
0.132 (0.128–0.136) |
0.784 (0.776–0.792) |
0.998 | 0.0221 | 0.0153 | |
104 | 14.46 (14.31–14.62) |
0.179 (0.167–0.191) |
0.133 (0.127–0.139) |
0.757 (0.746–0.768) |
0.997 | 0.0353 | 0.0204 | ||
106 | 9.33 (9.09–9.56) |
0.218 (0.190–0.245) |
0.141 (0.129–0.154) |
0.755 (0.726–0.783) |
0.990 | 0.0491 | 0.0320 | ||
| |||||||||
Logistic | 102 | 19.06 (18.99–19.12) |
0.168 (0.163–0.171) |
0.128 (0.126–0.130) |
0.779 (0.775–0.783) |
0.999 | 0.0052 | 0.0074 | |
104 | 14.55 (14.43–14.67) |
0.178 (0.170–0.186) |
0.128 (0.123–0.132) |
0.755 (0.748–0.762) |
0.999 | 0.0160 | 0.0137 | ||
106 | 9.40 (9.22–9.58) |
0.217 (0.199–0.235) |
0.135 (0.126–0.144) |
0.747 (0.730–0.765) |
0.996 | 0.0227 | 0.0218 | ||
| |||||||||
Richards | 102 | 19.12 (19.05–19.19) |
0.183 (0.175–0.191) |
0.126 (0.124–0.128) |
0.778 (0.774–0.781) |
1.333 (1.152–1.514) |
0.999 | 0.0045 | 0.0069 |
104 | 14.74 (14.61–14.87) |
0.219 (0.205–0.233) |
0.123 (0.119–0.128) |
0.754 (0.748–0.760) |
2.040 (1.565–2.515) |
0.999 | 0.0123 | 0.0121 | |
106 | 9.93 (9.81–10.06) |
0.318 (0.303–0.333) |
0.119 (0.115–0.123) |
0.748 (0.742–0.754) |
6.730 (4.925–8.536) |
0.999 | 0.0028 | 0.0078 | |
| |||||||||
Baranyi | 102 | 18.79 (18.65–18.93) |
0.148 (0.142–0.155) |
0.120 | 0.781 (0.776–0.786) |
0.998 | 0.0138 | ||
104 | 14.04 (13.87–14.21) |
0.163 (0.153–0.173) |
0.130 | 0.745 (0.739–0.752) |
0.997 | 0.0178 | |||
106 | 8.95 (8.75–9.15) |
0.201 (0.183–0.218) |
0.139 | 0.731 (0.718–0.743) |
0.995 | 0.0219 |