The number of neutral mutants in an expanding Luria-Delbruck population is approximately Frechet.

ABSTRACT: Background: A growing population of cells accumulates mutations. A single mutation early in the growth process carries forward to all descendant cells, causing the final population to have a lot of mutant cells. When the first mutation happens later in growth, the final population typically has fewer mutants. The number of mutant cells in the final population follows the Luria-Delbrück distribution. The mathematical form of the distribution is known only from its probability generating function. For larger populations of cells, one typically uses computer simulations to estimate the distribution. Methods: This article searches for a simple approximation of the Luria-Delbrück distribution, with an explicit mathematical form that can be used easily in calculations. Results:<

SUBMITTER: Frank SA 

PROVIDER: S-EPMC9945811 | biostudies-literature | 2022

REPOSITORIES: biostudies-literature