Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Analysis of a Population Genetics Model with Mutation, Selection, and
  Pleiotropy   We investigate the behavior of a population genetics model introduced by
Waxman and Peck incorporating mutation, selection, and pleiotropy. The
population is infinite and continuous variation of genotype is allowed.
Nonetheless, Waxman and Peck showed that if the degree of pleiotropy is large
enough,in this model a nonzero fraction of the population can have identical
alleles. This `condensed mode' behavior appears in the limit of infinite times.
  This paper explores the time-dependence of the distribution of alleles in
this model. First, the model is analyzed using a recursion technique which
enables the distribution of alleles to be calculated at finite times as well as
in Waxman and Peck's infinite-time limit. Second, both Waxman and Peck's
original model and a related model in which mutations occur continuously are
mapped onto problems in quantum mechanics. In both cases, the long-time
analysis for the biological model is equivalent to finding the nature of the
eigenstates of the quantum problem. The condensed mode appears if and only if
there is no bound state in the quantum problem.
  We compare the behavior of the discrete- and continuous-time versions of the
model. The results for the two cases are qualitatively similar, though there
are some quantitative differences. We also discuss our attempts to correlate
the statistics of DNA sequence variations with the degree of pleiotropy of
various genes.

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The categories of this paper are: hep-ph
27
The categories of this paper are: comp-gas
16
The categories of this paper are: stat
5
The categories of this paper are: gr-qc
15
The categories of this paper are: nucl-ex
11
The categories of this paper are: hep-lat
32
The categories of this paper are: atom-ph
24
The categories of this paper are: dg-ga
25
The categories of this paper are: patt-sol
22
The categories of this paper are: chao-dyn
17
The categories of this paper are: q-fin
6
The categories of this paper are: astro-ph
9
The categories of this paper are: nlin
37
The categories of this paper are: supr-con
8
The categories of this paper are: hep-ex
33
The categories of this paper are: plasm-ph