Progress of a half century in the study of the Luria-Delbrck distribution. Academic Article

abstract

• The Luria-Delbrck 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.

authors

• Zheng, Qi

published proceedings

• Math Biosci

altmetric score

• 3

author list (cited authors)

• Zheng, Q.

citation count

• 101

complete list of authors

• Zheng, Q

publication date

• January 1999

publisher

• Elsevier  Publisher

published in

• Mathematical Biosciences  Journal

keywords

• Genetics
• History, 20th Century
• Models, Genetic
• Mutation
• Poisson Distribution

Digital Object Identifier (DOI)

• 10.1016/s0025-5564(99)00045-0

start page

• 1

end page

• 32

volume

• 162

issue

• 1-2

URL

• http://dx.doi.org/10.1016/s0025-5564(99)00045-0