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Models for microbiological colony counts

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Abstract

Concentrations of microorganisms can be estimated from colony counts at different dilutions. However, complications can occur because of colony overlap or inhibition of colony growth. We develop a model of inhibition in which colonies fail to develop if spores are close to spores of other inhibitory species. The model has three parameters, but a limiting case of the model with only two parameters is shown to be more useful in practice. This latter model, which is a generalized linear model, is fitted to colony counts of the fungus Verticillium dahliae and contrasted with a model suggested in an earlier article.

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References

  • Cressie, N. A. C. (1991), Statistics for Spatial Data, New York: Wiley.

    MATH  Google Scholar 

  • Harris, D. C., Yang, J. R., and Ridout, M.S. (1993), “The Detection and Estimation of Verticillium dahliae in Naturally Infested Soil,” Plant Pathology, 42, 238–250.

    Article  Google Scholar 

  • Irwin, J. O., Armitage, P., and Davies, C.N. (19949), “Overlapping of Dust Particles on a Sampling Plate,” Nature, 163, 809.

    Article  Google Scholar 

  • Jeffries, P., and Young, T. W. K. (1994), Interfungal Parasitic Relationships, Wallingford, CAB International.

    Google Scholar 

  • Meynell, G. G., and Meynell, E. (1970), Theory and Practice in Experimental Bacteriology (2nd ed.), Cambridge: Cambridge University Press.

    Google Scholar 

  • Ridout, M. S., and Harris, D. C. (1997), “Estimating the Concentration of Propagules of a Plant Pathogen from Soil Dilution Plate Counts When the Response is Non-linear,” Applied Statistics, 46, 111–121.

    Google Scholar 

  • Roberts, E. A., and Coote, G. G. (1965), “The Estimation of Viruses and Bacteria from Dilution Counts,” Biometrics, 21, 600–615.

    Article  MathSciNet  Google Scholar 

  • Whipps, J. M. (1997), “Developments in the Biological Control of Soil-Borne Plant Pathogens,” Advances in Botanical Research, 26, 1–134.

    Article  Google Scholar 

  • — (2001), “Soil-Plant-Microbe Interactions and Biocontrol,” Journal of Experimental Botany, 52, 487–511.

    Google Scholar 

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Authors and Affiliations

  1. IMSAS, University of Kent, CT2 7NF, Canterbury, Kent, UK

    David L. Morris Ph.D. Student & Martin S. Ridout (Reader in Statistics)

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  1. David L. Morris Ph.D. Student
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  2. Martin S. Ridout
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Morris, D.L., Ridout, M.S. Models for microbiological colony counts. JABES 10, 158–169 (2005). https://doi.org/10.1198/108571105X46011

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  • DOI: https://doi.org/10.1198/108571105X46011

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