Department of Food Science, Agricultural University Wageningen, P.O. Box 8129, 6700 EV Wageningen, The Netherlands.
Appl Environ Microbiol. 1990 Jun;56(6):1875-81. doi: 10.1128/aem.56.6.1875-1881.1990.
Several sigmoidal functions (logistic, Gompertz, Richards, Schnute, and Stannard) were compared to describe a bacterial growth curve. They were compared statistically by using the model of Schnute, which is a comprehensive model, encompassing all other models. The t test and the F test were used. With the t test, confidence intervals for parameters can be calculated and can be used to distinguish between models. In the F test, the lack of fit of the models is compared with the measuring error. Moreover, the models were compared with respect to their ease of use. All sigmoidal functions were modified so that they contained biologically relevant parameters. The models of Richards, Schnute, and Stannard appeared to be basically the same equation. In the cases tested, the modified Gompertz equation was statistically sufficient to describe the growth data of Lactobacillus plantarum and was easy to use.
几种 S 型函数(逻辑斯蒂、龚柏兹、理查兹、施努特和斯坦纳德)被用来描述细菌生长曲线。通过使用包含所有其他模型的综合模型施努特模型对它们进行了统计学比较。使用 t 检验和 F 检验。通过 t 检验,可以计算参数的置信区间,并可用于区分模型。在 F 检验中,将模型的拟合不足与测量误差进行了比较。此外,还比较了这些模型在易用性方面的差异。所有的 S 型函数都进行了修改,以便包含生物学上相关的参数。理查兹、施努特和斯坦纳德的模型似乎是基本相同的方程。在所测试的情况下,经修正的龚柏兹方程在统计学上足以描述植物乳杆菌的生长数据,并且易于使用。