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    
Abstract/OtherAbstract:
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.
Authors:
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    
Affiliation:
Division of Statistics, University of California, Davis 95616.
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MeSH Terms
Descriptor/Qualifier:
Bacteria / growth & development*
Hot Temperature
Mathematics*
Models, Biological*

From MEDLINE®/PubMed®, a database of the U.S. National Library of Medicine


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