Format

Send to

Choose Destination
Math Biosci. 1999 Nov-Dec;162(1-2):1-32.

Progress of a half century in the study of the Luria-Delbrück distribution.

Author information

1
Division of Biometry and Risk Assessment, National Center for Toxicological Research, Jefferson, AR 72079-9502, USA. qzheng@nctr.fda.gov

Abstract

The Luria-Delbrück mutation model has been mathematically formulated in a number of ways. This review article examines four most important formulations, focusing on important practical issues closely linked with the distribution of the number of mutants. These issues include the probability generating functions, moments (cumulants), computational methods and asymptotics. This review emphasizes basic principles which not only help to unify existing results but also allow for a few useful extensions. In addition, the review offers a historical perspective and some new explanations of divergent moments.

PMID:
10616278
[Indexed for MEDLINE]

Supplemental Content

Full text links

Icon for Elsevier Science
Loading ...
Support Center