1990
DOI: 10.1128/aem.56.6.1875-1881.1990
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Modeling of the Bacterial Growth Curve

Abstract: 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 mo… Show more

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Cited by 3,461 publications
(1,814 citation statements)
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References 15 publications
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“…The sigmoidal function was chosen to fit growth curves because it can simulate the growth rate changes after the exponential phase. The apparent specific growth rate, pappr can be treated as an average growth rate indicator, in which all of the growth-rateaffecting factors, excluding the amount of unused medium, are lumped for the whole growth curve (Zwietering et al, 1990). The estimated apparent specific growth rates are listed in Table 2.…”
Section: Resultssupporting
confidence: 91%
See 1 more Smart Citation
“…The sigmoidal function was chosen to fit growth curves because it can simulate the growth rate changes after the exponential phase. The apparent specific growth rate, pappr can be treated as an average growth rate indicator, in which all of the growth-rateaffecting factors, excluding the amount of unused medium, are lumped for the whole growth curve (Zwietering et al, 1990). The estimated apparent specific growth rates are listed in Table 2.…”
Section: Resultssupporting
confidence: 91%
“…Three parallel runs for each a-MG concentration were performed to allow a statistical analysis. A logistic model (Zwietering et al, 1990) given by the following equation was used to estimate the apparent specific growth rate from the experimental data: where x is the optical density measured at 600 nm, xm is the estimated final cell density, and pa, is the apparent specific growth rate. The sigmoidal function was chosen to fit growth curves because it can simulate the growth rate changes after the exponential phase.…”
Section: Resultsmentioning
confidence: 99%
“…To obtain values of ci (or ebj ) and K Z (or K Z ) , the integrated Michaelis-Menten equation was fitted to these data with nonlinear regression based on the Marquardt algorithm. 33 Values for ci and ebj were also determined independently from the initial part of the plot. Both methods gave identical results.…”
Section: Activity Measurementsmentioning
confidence: 99%
“…The required time t res , for the pathogen population in the reservoir to replicate and reach a sufficient value to cause infections, depends on a range of environmental and microbiological factors specific to the pathogen under investigation. Methods to estimate this time and its distribution are beyond the scope of this Review; here we simple mention some mechanistic approaches and a separate published review for temperature-driven bacterial growth in food and in water drinking systems [49][50][51][52][53]. The required time t exp , for susceptible individuals to be infected after being exposed to the pathogen reservoir, depends on the particular route of transmission and type of exposure.…”
Section: ) What Are the Methods Limitations For Analysing Climate Andmentioning
confidence: 99%