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

Table 3

Growth parameters and their 95% confidence limits and coefficients of determination (), 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)	(OD units)	(OD units)			SSE	RMSE
Three-phase linear	10^2	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
	10^4	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
	10^6	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	10^2	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
	10^4	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
	10^6	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	10^2	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
	10^4	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
	10^6	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	10^2	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
	10^4	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
	10^6	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	10^2	18.79; (18.65–18.93)	0.148; (0.142–0.155)	0.120	0.781; (0.776–0.786)		0.998		0.0138
	10^4	14.04; (13.87–14.21)	0.163; (0.153–0.173)	0.130	0.745; (0.739–0.752)		0.997		0.0178
	10^6	8.95; (8.75–9.15)	0.201; (0.183–0.218)	0.139	0.731; (0.718–0.743)		0.995		0.0219