Research Article

Comparison of Primary Models to Predict Microbial Growth by the Plate Count and Absorbance Methods

Table 8

Growth parameters and their 95% confidence limits and coefficients of determination (), SSE, and RMSE of fit obtained with different growth models for average plate count growth curves of Listeria monocytogenes CECT 4031 at 37°C in TSB+YE inoculating 102, 104, and 106 CFU mL−1 shown in Figure 3(b).

Growth modelInitial concentration (CFU mL−1)Lag time (h)Growth rate
(log cycles h−1)

(log CFU mL−1)

(log cycles)
SSERMSE

Three-phase linear1022.00
(1.85–2.14)
0.487
(0.467–0.506)
1.988
(1.820–2.150)
0.9970.03460.0620
1041.95
(1.75–2.06)
0.432
(0.424–0.441)
4.006
(3.970–4.040)
0.9860.15250.1235
1062.00
(1.78–2.24)
0.423
(0.402–0.441)
6.113
(5.870–6.360)
2.5540.9850.09160.1070

Gompertz1022.13
(1.63–2.63)
0.542
(0.510–0.574)
1.803
(1.599–2.007)
6.071
(4.105–8.038)
0.9970.04060.0672
1042.22
(1.63–2.81)
0.503
(0.443–0.564)
3.932
(3.755–4.109)
3.917
(2.982–4.852)
0.9930.06910.0870
1062.27
(1.70–2.83)
0.485
(0.417–0.554)
6.009
(5.856–6.163)
3.227
(2.604–3.85)
0.9920.06550.0853

Logistic1021.73
(0.75–2.71)
0.559
(0.511–0.606)
1.501
(1.086–1.917)
5.297
(3.521–7.073)
0.9950.06140.0826
1041.91
(0.72–3.10)
0.513
(0.428–0.597)
3.715
(3.340–4.091)
3.739
(2.689–4.79)
0.9890.10870.1099
1062.12
(1.18–3.06)
0.501
(0.415–0.587)
5.863
(5.599–6.127)
3.073
(2.465–3.681)
0.9900.08410.0967

Richards1022.13
(1.41–2.85)
0.003
(−2.733–2.738)
1.803
(1.282–2.323)
6.068
(0.701–11.440)
0.002
(−1.865–1.868)
0.9960.04070.0713
1042.22
(1.57–2.86)
0.0008
(−2.303–2.304)
3.932
(3.614–4.250)
3.917
(2.384–5.450)
0.0006
(−1.686–1.687)
0.9920.06910.0929
1062.27
(1.70–2.84)
0.013
(0.011–0.015)
6.008
(5.854–6.163)
3.222
(2.601–3.843)
0.01a0.9920.06570.0854

Baranyi1022.07
(1.84–2.31)
0.514
(0.494–0.534)
1.8910.9990.0453
1041.86
(1.34–2.37)
0.447
(0.410–0.483)
3.8960.9930.0875
1062.14
(1.64–2.64)
0.460
(0.402–0.517)
5.9962.7740.9930.0774

Value fixed at bound.