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

Table 7

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 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)	(log CFU mL^−1)	(log cycles)			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
	10^3	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
	10^5	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
	10^3	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
	10^5	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
	10^3	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
	10^5	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
	10^3	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
	10^5	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
	10^3	3.09; (2.77–3.41)	1.313; (1.137–1.324)	3.360	5.387		0.997		0.1248
	10^5	2.95; (2.75–3.15)	1.275; (1.121–1.429)	5.309	3.436		0.999		0.0604