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Applied and Environmental Microbiology, February 1999, p. 732-736, Vol. 65, No. 2
0099-2240/99/$04.00+0
Copyright © 1999, American Society for Microbiology. All rights reserved.

Estimating Bacterial Growth Parameters by Means of Detection Times

József Baranyi* and Carmen Pindagger

Institute of Food Research, Reading Laboratory, Reading RG6 6BZ, United Kingdom

Received 8 June 1998/Accepted 15 October 1998

We developed a new numerical method to estimate bacterial growth parameters by means of detection times generated by different initial counts. The observed detection times are subjected to a transformation involving the (unknown) maximum specific growth rate and the (known) ratios between the different inoculum sizes and the constant detectable level of counts. We present an analysis of variance (ANOVA) protocol based on a theoretical result according to which, if the specific rate used for the transformation is correct, the transformed values are scattered around the same mean irrespective of the original inoculum sizes. That mean, termed the physiological state of the inoculum, <A><AC>&agr;</AC><AC>ˆ</AC></A>, and the maximum specific growth rate, µ, can be estimated by minimizing the variance ratio of the ANOVA procedure. The lag time of the population can be calculated as lambda  = -ln <A><AC>&agr;</AC><AC>ˆ</AC></A>/µ; i.e. the lag is inversely proportional to the maximum specific growth rate and depends on the initial physiological state of the population. The more accurately the cell number at the detection level is known, the better the estimate for the variance of the lag times of the individual cells.


* Corresponding author. Mailing address: Institute of Food Research Reading Laboratory, Earley Gate, Whiteknights Rd., Reading RG6 6BZ, United Kingdom. Phone: (44)118 9357000. Fax: (44)118 9357222. E-mail: jozsef.baranyi{at}bbsrc.ac.uk.

dagger Permanent address: Departamento de Nutricion y Bromatologia III, Facultad de Veterinaria, Universidad Complutense de Madrid, 28040 Madrid, Spain.


Applied and Environmental Microbiology, February 1999, p. 732-736, Vol. 65, No. 2
0099-2240/99/$04.00+0
Copyright © 1999, American Society for Microbiology. All rights reserved.



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