Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Distribution of phenotype sizes in sequence-to-structure
  genotype-phenotype maps   An essential quantity to ensure evolvability of populations is the
navigability of the genotype space. Navigability relies on the existence of
sufficiently large genotype networks, that is ensembles of sequences with the
same phenotype that guarantee an efficient random drift through sequence space.
The number of sequences compatible with a given structure (e.g. the number of
RNA sequences folding into a particular secondary structure, or the number of
DNA sequences coding for the same protein structure) is astronomically large in
all functional molecules investigated. However, an exhaustive experimental or
computational study of all RNA folds or all protein structures becomes
impossible even for moderately long sequences. Here, we analytically derive the
distribution of phenotype sizes for a hierarchy of models which successively
incorporate features of increasingly realistic sequence-to-structure
genotype-phenotype maps. The main feature of these models relies on the
characterization of each phenotype through a prototypical sequence whose sites
admit a variable fraction of letters of the alphabet. Our models interpolate
between two limit distributions: a powerlaw distribution, when the ordering of
sites in the prototypical sequence is strongly constrained, and a lognormal
distribution, as suggested for RNA, when different orderings of the same set of
sites yield different phenotypes. Our main result is the qualitative and
quantitative identification of those features of the sequence-to-structure map
that lead to different distributions of phenotype sizes.

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The categories of this paper are: cs
30
The categories of this paper are: q-alg
34
The categories of this paper are: chem-ph
20
The categories of this paper are: acc-phys
26
The categories of this paper are: bayes-an
8
The categories of this paper are: hep-ex
22
The categories of this paper are: chao-dyn
16
The categories of this paper are: stat
27
The categories of this paper are: comp-gas
11
The categories of this paper are: hep-lat
25
The categories of this paper are: patt-sol
6
The categories of this paper are: astro-ph
4
The categories of this paper are: cond-mat
32
The categories of this paper are: atom-ph
37
The categories of this paper are: supr-con
21
The categories of this paper are: adap-org