Mutant Number Laws and Infinite Divisibility

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Abstract

Concepts of infinitely divisible distributions are reviewed and applied to mutant number distributions derived from the Lea-Coulson and other models which describe the Luria-Delbrück fluctuation test. A key finding is that mutant number distributions arising from a generalised Lea-Coulson model for which normal cell growth is non-decreasing are unimodal. An integral criterion is given which separates the cases of a mode at the origin, or not.

Original languageEnglish
Article number584
Number of pages29
JournalAxioms
Volume11
Issue number11
DOIs
Publication statusPublished - Nov 2022

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