Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Equilibrium Distribution of Mutators in the Single Fitness Peak Model   This paper 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 (SFP) 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 $ \epsilon_r = L_{via}/L $, where $
L_{via} $ 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 {\it Escherichia coli}.

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The categories of this paper are: cmp-lg
26
The categories of this paper are: bayes-an
13
The categories of this paper are: quant-ph
21
The categories of this paper are: adap-org
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The categories of this paper are: ao-sci
30
The categories of this paper are: q-alg
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The categories of this paper are: comp-gas
9
The categories of this paper are: nlin
5
The categories of this paper are: gr-qc
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The categories of this paper are: solv-int
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The categories of this paper are: eess
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The categories of this paper are: stat
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The categories of this paper are: q-fin
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The categories of this paper are: acc-phys
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The categories of this paper are: dg-ga
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The categories of this paper are: patt-sol