Estimation method for serial dilution experiments

Journal of Microbiological Methods

Volumn 107, Issue , 2014, Pages 214-221

  Ben David, Avishai ^a   Davidson, Charles E ^b  

^a US Army Research Development and Engineering Command   (United States)

^b SCIENCE AND TECHNOLOGY CORPORATION   (United States)

Author keywords

Agar plates; Density (concentration) of microorganisms; Serial dilution; Titration; Too numerous to count (TNTC); Viable bacterial counts

Indexed keywords

ACCURACY; ARTICLE; BACTERIAL COUNT; BACTERIAL GROWTH; BACTERIUM COLONY; BACTERIUM EXAMINATION; COLONY FORMING UNIT; COMPUTER SIMULATION; CONCENTRATION (PARAMETERS); DILUTION; MATHEMATICAL ANALYSIS; MICROBIOLOGY; MICROORGANISM; NONHUMAN; QUANTITATIVE ANALYSIS; SERIAL DILUTION TECHNIQUE; ALGORITHM; PROCEDURES; REPRODUCIBILITY; STANDARDS; STATISTICAL MODEL;

ALGORITHMS; COLONY COUNT, MICROBIAL; ENVIRONMENTAL MICROBIOLOGY; MODELS, STATISTICAL; REPRODUCIBILITY OF RESULTS;

EID: 84910004263     PISSN: 01677012     EISSN: 18728359     Source Type: Journal    
DOI: 10.1016/j.mimet.2014.08.023     Document Type: Article

References (22)

1. American Public Health Association Standard methods for the examination of water and wastewater 2005, American Public Health Association, Washington DC, (Available at http://www.standardmethods.org/).
2. Blodgett R. Most probable number from serial dilution. Appendix2 in U.S. Food and Drug Administration, Bacteriological Analytical Manual (BAM) 2010, (Available at http://www.fda.gov/Food/FoodScienceResearch/LaboratoryMethods/ucm109656.htm).
3. Born M., Wolf E. Principles of Optics 1980, Pergamon, New-York, NY. 6th edition.
4. Casella G., Berger R.L. Statistical Inference 2002, Duxbury, Pasific Grove, California. 2nd edition.
5. Chiu N.K., Stoyan D., Kendall W.S., Mecke J. Stochastic Geometry and Its Applications 2013, Wiley, West Sussex, United Kingdom. 3rd edition.
6. Cochran W.G. Estimation of bacterial densities by mean of the "Most Probable Number". Biometrics 1950, 6:105-116.
7. FDA Bacteriological analytical manual Available at. http://www.fda.gov/Food/FoodScienceResearch/LaboratoryMethods/ucm063346.htm.
8. Forbes C., Evans M., Hastings N., Peacock B. Statistical Distributions 2011, Wiley, New-York, NY. 4th edition.
9. Goldman E., Green L.H. Practical Handbook of Microbiology 2008, CRC Press, Boca Baton, Florida. 2nd edition.
10. Hedges A.J. Estimating the precision of serial dilutions and viable bacterial counts. Int. J. Food Microbiol. 2002, 76:207-214.
11. AIDS Clinical Trials Group Virology Manual for HIV Laboratories 1993, MIC-1-MIC-5. NIH (NIAID Division of AIDS), Rockville MD. F.B. Hollinger (Ed.).
12. Jennison M.W., Wadsworth G.P. Evaluation of the errors involved in estimating bacterial numbers by the plating method. J. Bacteriol. 1940, 39:389-397.
13. Koch R. Über die neuen Untersuchungsmethoden zum Nachweis der Mikrokosmen in Boden, Luft und Wasser. Vortrag auf dem XI. Deutschen Ärztetag in Berlin 1883, 137,274-137,284. Vereinsblatt für Deutschland, Komnüssions-Verlag von F. C. W. Vogel, Leipzig, (Available at http://edoc.rki.de/documents/rk/508-274-284/PDF/274-284.pdf).
14. Lin L.I., Stephenson W.R. Validating an assay of viral contamination. Statistical Case Studies: A Collaboration Between Academe and Industry 1998, SIAM, Philadelphia, PA. R. Peck, L.D. Haugh, A. Goodman (Eds.).
15. Myers L.E., McQuay L.J., Hollinger F.B. Dilution assay statistics. J. Clin. Microbiol. 1994, 32:732-739.
16. Oliver J.D. The viable but nonculturable state in bacteria. J. Microbiol. 2005, 43:93-100.
17. Oliver J.D. Recent findings on the viable but nonculturable state in pathogenic bacteria. FEMS Microbiol. Rev. 2010, 34:415-425.
18. Park W.H., Williams A.W. Pathogenic microorganisms Available at Nabu Press. https://archive.org/stream/pathogenicmicroo00parkrich#page/n3/mode/2up.
19. Scharf S.L., Friedlander B. Matched subspace detectors. IEEE Trans. Signal Process. 1994, 42(8):2146-2157.
20. Taswell C. Limiting dilution assays for the determination of immunocompetent cell frequencies.III. Validity tests for the single-hit Poisson model. J. Immunol. Methods 1984, 72:29-40.
21. Tomasiewicz D.M., Hotchkiss D.K., Reinbold G.W., Read R.B., Hartman P.A. The suitable number of colonies on plates for counting. J. Food Prot. 1980, 43:282-286.
22. Wilson G.S. The proportion of viable bacteria in young cultures with special reference to the technique employed in counting. J. Bacteriol. 1922, 7:405-446.