On Bartlett's formulation of the Luria-Delbrück mutation model

DOI10.1016/j.mbs.2008.05.005zbMath1156.92033OpenAlexW1989183527WikidataQ51874017 ScholiaQ51874017MaRDI QIDQ1005702

Qi Zheng

Publication date: 9 March 2009

Published in: Mathematical Biosciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mbs.2008.05.005

zbMATH Keywords

probability generating functionasymptotic analysismutation rateNewton-Raphson proceduremaximum-likelihood principlemutant distribution

Mathematics Subject Classification ID

Applications of statistics to biology and medical sciences; meta analysis (62P10) Problems related to evolution (92D15)

Related Items (6)

Fast maximum likelihood estimation of mutation rates using a birth-death process ⋮ Estimating mutation rates in a Markov branching process using approximate Bayesian computation ⋮ Sampling HIV intrahost genealogies based on a model of acute stage CTL response ⋮ Statistics for the Luria-Delbrück distribution ⋮ Letter to the Editor ⋮ Estimation of rates of non-neutral mutations when bacteria are exposed to subinhibitory levels of antibiotics

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• Singularity Analysis of Generating Functions
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• Remarks on the Luria–Delbrück distribution
• Mathematical models for estimating mutation rates in cell populations
• A population birth-and-mutation process, I: explicit distributions for the number of mutants in an old culture of bacteria
• An explicit representation of the Luria-Delbrück distribution

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