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    Equilibrium Distribution of Mutators in the Single Fitness Peak Model

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    DeedsE-Sept26-2003.pdf (103.2Kb)
    Issue Date
    2003-09-26
    Author
    Tannenbaum, Emmanuel
    Deeds, Eric J.
    Shakhnovich, Eugene I.
    Publisher
    American Physical Society
    Type
    Article
    Article Version
    Scholarly/refereed, publisher version
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    Abstract
    This Letter develops an analytically tractable model for determining the equilibrium distribution of mismatch repair deficient strains in unicellular populations. The approach is based on the single fitness peak model, which has been used in Eigen’s quasispecies equations in order to understand various aspects of evolutionary dynamics. As with the quasispecies model, our model for mutator-nonmutator equilibrium undergoes a phase transition in the limit of infinite sequence length. This “repair catastrophe” occurs at a critical repair error probability of ϵr=Lvia/L, where Lvia denotes the length of the genome controlling viability, while L denotes the overall length of the genome. The repair catastrophe therefore occurs when the repair error probability exceeds the fraction of deleterious mutations. Our model also gives a quantitative estimate for the equilibrium fraction of mutators in Escherichia coli.
    Description
    This is the publisher's version, also available electronically from http://journals.aps.org/prl/abstract/10.1103/PhysRevLett.91.138105.
    URI
    http://hdl.handle.net/1808/16999
    DOI
    https://doi.org/10.1103/PhysRevLett.91.138105
    ISSN
    0031-9007
    Collections
    • Molecular Biosciences Scholarly Works [537]
    Citation
    Tannenbaum, Emmanuel; Deeds, Eric J.; Shakhnovich, Eugene I. (2003). "Equilibrium Distribution of Mutators in the Single Fitness Peak Model." Phys Rev Lett, 91(13):138105. http://dx.doi.org/10.1103/PhysRevLett.91.138105.

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    Contact KU ScholarWorks
    785-864-8983
    KU Libraries
    1425 Jayhawk Blvd
    Lawrence, KS 66045
    785-864-8983

    KU Libraries
    1425 Jayhawk Blvd
    Lawrence, KS 66045
    Image Credits
     

     

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