Mutant number distribution in an exponentially growing population

DOI10.1088/1742-5468/2015/01/P01011zbMath1456.92050arXiv1410.3307MaRDI QIDQ3302085

Tibor Antal, Peter E. Keller

Publication date: 11 August 2020

Published in: Journal of Statistical Mechanics: Theory and Experiment (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1410.3307

Mathematics Subject Classification ID

Applications of branching processes (60J85) Cell biology (92C37) Genetics and epigenetics (92D10)

Related Items (7)

Large deviations of cancer recurrence timing ⋮ Mutation frequencies in a birth-death branching process ⋮ REGENERATIVE MUTATION PROCESSES RELATED TO THE SELFDECOMPOSABILITY OF SIBUYA DISTRIBUTIONS ⋮ Genetic composition of an exponentially growing cell population ⋮ Universal asymptotic clone size distribution for general population growth ⋮ The fractional birth process with power-law immigration ⋮ Exact site frequency spectra of neutrally evolving tumors: a transition between power laws reveals a signature of cell viability

Uses Software

• DLMF

Cites Work

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• Limit theorems for triangular urn schemes
• Evolution of resistance and progression to disease during clonal expansion of cancer
• Progress of a half century in the study of the Luria-Delbrück distribution
• Scaling solution in the large population limit of the general asymmetric stochastic Luria-Delbrück evolution process
• The fixed-size Luria-Delbrück model with a nonzero death rate
• A generalized Luria-Delbrück model
• Birth-and-death processes, and the theory of carcinogenesis
• Exact solution of a two-type branching process: clone size distribution in cell division kinetics
• Convergence results for compound Poisson distributions and applications to the standard Luria–Delbrück distribution
• Analysis of the Luria–Delbrück distribution using discrete convolution powers
• Remarks on the Luria–Delbrück distribution
• Comments on the Luria–Delbrück distribution
• A population birth-and-mutation process, I: explicit distributions for the number of mutants in an old culture of bacteria
• Asymptotics of the Luria-Delbrück distribution via singularity analysis
• Large population solution of the stochastic Luria–Delbrück evolution model
• An explicit representation of the Luria-Delbrück distribution

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