Large population solution of the stochastic Luria–Delbrück evolution model

DOI10.1073/pnas.1309667110zbMath1292.92016OpenAlexW2045486139WikidataQ37031674 ScholiaQ37031674MaRDI QIDQ5171013

David A. Kessler, Herbert Levine

Publication date: 25 July 2014

Published in: Proceedings of the National Academy of Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1073/pnas.1309667110

Mathematics Subject Classification ID

Problems related to evolution (92D15) Population dynamics (general) (92D25)

Related Items (12)

Cellular replication limits in the Luria-Delbrück mutation model ⋮ Large deviations of cancer recurrence timing ⋮ Measuring evolutionary cancer dynamics from genome sequencing, one patient at a time ⋮ Mutation frequencies in a birth-death branching process ⋮ On statistical modeling of sequencing noise in high depth data to assess tumor evolution ⋮ Waiting times in a branching process model of colorectal cancer initiation ⋮ Mutant number distribution in an exponentially growing population ⋮ Forward and backward evolutionary processes and allele frequency spectrum in a cancer cell population ⋮ A modified fluctuation test for elucidating drug resistance in microbial and cancer cells ⋮ Exact site frequency spectra of neutrally evolving tumors: a transition between power laws reveals a signature of cell viability ⋮ Stochastic clonal dynamics and genetic turnover in exponentially growing populations ⋮ Scaling solution in the large population limit of the general asymmetric stochastic Luria-Delbrück evolution process

Cites Work

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• A stochastic model for the origin and treatment of tumors containing drug-resistant cells
• Mean field mutation dynamics and the continuous Luria-Delbrück distribution
• An elementary approach to modeling drug resistance in cancer
• Progress of a half century in the study of the Luria-Delbrück distribution
• A generalized Luria-Delbrück model
• 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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