A population birth-and-mutation process, I: explicit distributions for the number of mutants in an old culture of bacteria

DOI10.2307/3212688zbMath0287.60093OpenAlexW2315323580MaRDI QIDQ4775281

Publication date: 1974

Published in: Journal of Applied Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/3212688

Mathematics Subject Classification ID

Applications of branching processes (60J85) Population dynamics (general) (92D25) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Related Items (13)

Giant number fluctuations in microbial ecologies ⋮ Mean field mutation dynamics and the continuous Luria-Delbrück distribution ⋮ A note on a universal random variate generator for integer-valued random variables ⋮ Statistics for the Luria-Delbrück distribution ⋮ Progress of a half century in the study of the Luria-Delbrück distribution ⋮ Mutant number distribution in an exponentially growing population ⋮ On Haldane's formulation of Luria and Delbrück's mutation model ⋮ New approaches to mutation rate fold change in Luria-Delbrück fluctuation experiments ⋮ Large population solution of the stochastic Luria–Delbrück evolution model ⋮ Mathematical models for mutations in cultures of diploid cells ⋮ On Bartlett's formulation of the Luria-Delbrück mutation model ⋮ Scaling solution in the large population limit of the general asymmetric stochastic Luria-Delbrück evolution process ⋮ Statistical and algorithmic methods for fluctuation analysis with SALVADOR as an implementation

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