Proliferation Model Dependence in Fluctuation Analysis: The Neutral Case

2006/04/26 by Wolfgang P. Angerer, Angerer, Wolfgang P.
Mathematics · Physics and Astronomy · #60J85 #Complex Network Analysis Techniques #FOS: Mathematics #Probability (math.PR) #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #math.PR #msc:60J85

paper · pdf · doi:10.48550/arxiv.math/0604555

30 pages

arxiv created 2006/04/26 · openalex publication_date 2006/04/26 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We discuss the evaluation of Luria-Delbrueck fluctuation experiments under Bellman-Harris models of cell proliferation. It is shown that under certain very natural assumptions concerning the life-time distributions and the offspring distributions of mutant and non-mutant bacteria, the suitably normed and centered number of mutants contained in a large culture of bacteria converges to a stable random variable with index 1. The result obtains under the assumption that the mutation under consideration is neutral in the sense that on average, mutant cells produce the same number of offspring as non-mutant cells.

Citations

• The distribution of the numbers of mutants in bacterial populations

Related

• Asymptotic decoupling of population growth rate and cell size distribution
• Fluctuation analysis with cell deaths
• A population birth-and-mutation process, I: explicit distributions for the number of mutants in an old culture of bacteria
• General formulation of Luria-Delbrück distribution of the number of mutants
• The impact of nonheritable variation in division rates on population growth across environments