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. 2015 Oct 11;2015:365025. doi: 10.1155/2015/365025

Table 4.

Growth parameters obtained and their 95% confidence limits and coefficients of determination (r 2), SSE, and RMSE of fit with different growth models for the average OD growth curves of Escherichia coli CECT 515 at 37°C in pH 5 TSB+YE inoculating 102, 104, and 106 CFU mL−1 shown in Figure 1(c).

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 14.80
(14.60–15.00)
0.103
(0.100–0.105)
0.161
(0.115–0.207)
1.622 0.995 0.0200 0.0250
104 9.70
(9.53–9.86)
0.110
(0.107–0.112)
0.167
(0.111–0.223)
1.656 0.996 0.0150 0.0220
106 4.44
(4.27–4.61)
0.111
(0.108–0.113)
0.176
(0.113–0.239)
1.600 0.996 0.0150 0.0224

Gompertz 102 15.46
(15.29–15.62)
0.117
(0.115–0.119)
0.144
(0.137–0.152)
1.794
(1.780–1.807)
0.999 0.0700 0.0227
104 10.29
(10.13–10.46)
0.125
(0.123–0.128)
0.146
(0.137–0.155)
1.799
(1.785–1.812)
0.999 0.0663 0.0227
106 4.65
(4.42–4.89)
0.125
(0.122–0.127)
0.123
(0.106–0.140)
1.783
(1.761–1.805)
0.999 0.0597 0.0237

Logistic 102 15.51
(15.12–15.90)
0.117
(0.113–0.121)
0.105
(0.088–0.121)
1.784
(1.758–1.810)
0.997 0.2544 0.0433
104 9.95
(9.56–10.33)
0.123
(0.119–0.126)
0.078
(0.057–0.094)
1.834
(1.808–1.860)
0.997 0.1825 0.0376
106 3.67
(3.46–3.89)
0.120
(0.117–0.123)
0.000a 1.875
(1.864–1.887)
0.997 0.1232 0.0339

Richards 102 15.46
(15.18–15.73)
0.00008
(−0.016–0.016)
0.144
(0.137–0.152)
1.794
(1.772–1.816)
0.00024
(−0.049–0.049)
0.999 0.0670 0.0228
104 10.29
(9.98–10.61)
0.0001
(−0.063–0.063)
0.146
(0.135–0.156)
1.799
(1.778–1.819)
0.00041
(−0.185–0.186)
0.999 0.0663 0.0228
106 4.65
(4.41–4.90)
0.0002
(−0.107–0.107)
0.123
(0.086–0.159)
1.783
(1.743–1.824)
0.00062
(−0.316–0.317)
0.999 0.0598 0.0239

Baranyi 102 14.31
(13.87–14.75)
0.101
(0.097–0.105)
0.126 1.742
(1.727–1.756)
0.996 0.0445
104 8.96
(8.50–9.41)
0.107
(0.103–0.111)
0.115 1.777
(1.763–1.789)
0.996 0.0445
106 2.72
(2.07–3.38)
0.104
(0.099–0.109)
0.060 1.791
(1.776–1.806)
0.994 0.0483

aValue fixed at bound.