Document Detail

Estimation of the thermal coefficient in the decline of a bacterial population under heat stress.
MedLine Citation:
PMID:  1804455     Owner:  NLM     Status:  MEDLINE    
The "most probable number" (MPN) technique for estimating numbers of bacteria in suspensions is well known and has been used for decades by microbiologists, food researchers, and other laboratory scientists. A related procedure, involving an infinite number of serial dilutions at each of times ti, i = 0,1,...,n, is considered, and the joint probability law of the index numbers of the last tubes showing growth at these times is derived through use of probability-generating functions. Maximum likelihood estimates of the initial density lambda and the thermal death rate mu are computed. Another estimate, mu, of mu is given, using a simple weighting scheme. Finally, the thermal death time (TDT) is estimated by D = (1n 10)/mu.
A D Wiggins
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Publication Detail:
Type:  Journal Article    
Journal Detail:
Title:  Mathematical biosciences     Volume:  104     ISSN:  0025-5564     ISO Abbreviation:  Math Biosci     Publication Date:  1991 Apr 
Date Detail:
Created Date:  1992-05-04     Completed Date:  1992-05-04     Revised Date:  2009-11-11    
Medline Journal Info:
Nlm Unique ID:  0103146     Medline TA:  Math Biosci     Country:  UNITED STATES    
Other Details:
Languages:  eng     Pagination:  49-58     Citation Subset:  IM    
Division of Statistics, University of California, Davis 95616.
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MeSH Terms
Bacteria / growth & development*
Hot Temperature
Models, Biological*

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