Skip to main content

Some NLM-NCBI services and products are experiencing heavy traffic, which may affect performance and availability. We apologize for the inconvenience and appreciate your patience. For assistance, please contact our Help Desk at info@ncbi.nlm.nih.gov.

Applied and Environmental Microbiology logoLink to Applied and Environmental Microbiology
. 1992 Oct;58(10):3337–3342. doi: 10.1128/aem.58.10.3337-3342.1992

Evaluation of data transformations used with the square root and schoolfield models for predicting bacterial growth rate.

S A Alber 1, D W Schaffner 1
PMCID: PMC183100  PMID: 1444367

Abstract

A comparison was made between mathematical variations of the square root and Schoolfield models for predicting growth rate as a function of temperature. The statistical consequences of square root and natural logarithm transformations of growth rate use in several variations of the Schoolfield and square root models were examined. Growth rate variances of Yersinia enterocolitica in brain heart infusion broth increased as a function of temperature. The ability of the two data transformations to correct for the heterogeneity of variance was evaluated. A natural logarithm transformation of growth rate was more effective than a square root transformation at correcting for the heterogeneity of variance. The square root model was more accurate than the Schoolfield model when both models used natural logarithm transformation.

Full text

PDF
3337

Selected References

These references are in PubMed. This may not be the complete list of references from this article.

  1. Ratkowsky D. A., Lowry R. K., McMeekin T. A., Stokes A. N., Chandler R. E. Model for bacterial culture growth rate throughout the entire biokinetic temperature range. J Bacteriol. 1983 Jun;154(3):1222–1226. doi: 10.1128/jb.154.3.1222-1226.1983. [DOI] [PMC free article] [PubMed] [Google Scholar]
  2. Schoolfield R. M., Sharpe P. J., Magnuson C. E. Non-linear regression of biological temperature-dependent rate models based on absolute reaction-rate theory. J Theor Biol. 1981 Feb 21;88(4):719–731. doi: 10.1016/0022-5193(81)90246-0. [DOI] [PubMed] [Google Scholar]
  3. Sharpe P. J., DeMichele D. W. Reaction kinetics of poikilotherm development. J Theor Biol. 1977 Feb 21;64(4):649–670. doi: 10.1016/0022-5193(77)90265-x. [DOI] [PubMed] [Google Scholar]
  4. Zwietering M. H., de Koos J. T., Hasenack B. E., de Witt J. C., van't Riet K. Modeling of bacterial growth as a function of temperature. Appl Environ Microbiol. 1991 Apr;57(4):1094–1101. doi: 10.1128/aem.57.4.1094-1101.1991. [DOI] [PMC free article] [PubMed] [Google Scholar]

Articles from Applied and Environmental Microbiology are provided here courtesy of American Society for Microbiology (ASM)

RESOURCES