Literature DB >> 2708916

Diffusion approximations of the two-locus Wright-Fisher model.

S N Ethier1, T Nagylaki.   

Abstract

Diffusion approximations are established for the multiallelic, two-locus Wright-Fisher model for mutation, selection, and random genetic drift in a finite, panmictic, monoecious, diploid population. All four combinations of weak or strong selection and tight or loose linkage are treated, though the proof in the case of strong selection and loose linkage is incomplete. Under certain conditions, explicit formulas are obtained for the stationary distributions of the two diffusions with loose linkage.

Mesh:

Year:  1989        PMID: 2708916     DOI: 10.1007/BF00276078

Source DB:  PubMed          Journal:  J Math Biol        ISSN: 0303-6812            Impact factor:   2.259


  12 in total

1.  Stochastic processes and distribution of gene frequencies under natural selection.

Authors:  M KIMURA
Journal:  Cold Spring Harb Symp Quant Biol       Date:  1955

2.  On the time for gene silencing at duplicate Loci.

Authors:  G A Watterson
Journal:  Genetics       Date:  1983-11       Impact factor: 4.562

3.  Heterosis or neutrality?

Authors:  G A Watterson
Journal:  Genetics       Date:  1977-04       Impact factor: 4.562

4.  Maintenance of genetic variability under mutation and selection pressures in a finite population.

Authors:  W H Li
Journal:  Proc Natl Acad Sci U S A       Date:  1977-06       Impact factor: 11.205

5.  Linkage disequilibrium between two segregating nucleotide sites under the steady flux of mutations in a finite population.

Authors:  T Ohta; M Kimura
Journal:  Genetics       Date:  1971-08       Impact factor: 4.562

6.  Fixation of a deleterious allele at one of two "duplicate" loci by mutation pressure and random drift.

Authors:  M Kimura; J L King
Journal:  Proc Natl Acad Sci U S A       Date:  1979-06       Impact factor: 11.205

7.  Rate of gene silencing at duplicate loci: a theoretical study and interpretation of data from tetraploid fishes.

Authors:  W H Li
Journal:  Genetics       Date:  1980-05       Impact factor: 4.562

8.  Fixation times and probabilities for an independent loci model in genetics.

Authors:  R A Littler; A J Good
Journal:  Theor Popul Biol       Date:  1978-10       Impact factor: 1.570

9.  The effect of linkage on limits to artificial selection.

Authors:  W G Hill; A Robertson
Journal:  Genet Res       Date:  1966-12       Impact factor: 1.588

10.  Polymorphism and loss of duplicate gene expression: a theoretical study with application of tetraploid fish.

Authors:  N Takahata; T Maruyama
Journal:  Proc Natl Acad Sci U S A       Date:  1979-09       Impact factor: 11.205

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  9 in total

1.  Inference on the strength of balancing selection for epistatically interacting loci.

Authors:  Erkan Ozge Buzbas; Paul Joyce; Noah A Rosenberg
Journal:  Theor Popul Biol       Date:  2011-01-26       Impact factor: 1.570

2.  Random genetic drift and gamete frequency.

Authors:  Shuhei Mano
Journal:  Genetics       Date:  2005-12       Impact factor: 4.562

3.  A dual process for the coupled Wright-Fisher diffusion.

Authors:  Martina Favero; Henrik Hult; Timo Koski
Journal:  J Math Biol       Date:  2021-01-22       Impact factor: 2.259

4.  Inference from the stationary distribution of allele frequencies in a family of Wright-Fisher models with two levels of genetic variability.

Authors:  Jake M Ferguson; Erkan Ozge Buzbas
Journal:  Theor Popul Biol       Date:  2018-03-21       Impact factor: 1.570

5.  TRACTABLE DIFFUSION AND COALESCENT PROCESSES FOR WEAKLY CORRELATED LOCI.

Authors:  Paul A Jenkins; Paul Fearnhead; Yun S Song
Journal:  Electron J Probab       Date:  2016-06-04       Impact factor: 1.151

6.  PADÉ APPROXIMANTS AND EXACT TWO-LOCUS SAMPLING DISTRIBUTIONS.

Authors:  Paul A Jenkins; Yun S Song
Journal:  Ann Appl Probab       Date:  2012-04-01       Impact factor: 1.872

7.  On the Recombination Rate Estimation in the Presence of Population Substructure.

Authors:  Julian Hecker; Dmitry Prokopenko; Christoph Lange; Heide Löhlein Fier
Journal:  PLoS One       Date:  2015-12-30       Impact factor: 3.240

8.  The effect of linkage on establishment and survival of locally beneficial mutations.

Authors:  Simon Aeschbacher; Reinhard Bürger
Journal:  Genetics       Date:  2014-03-07       Impact factor: 4.562

9.  Linkage disequilibrium interval mapping of quantitative trait loci.

Authors:  Simon Boitard; Jihad Abdallah; Hubert de Rochambeau; Christine Cierco-Ayrolles; Brigitte Mangin
Journal:  BMC Genomics       Date:  2006-03-16       Impact factor: 3.969

  9 in total

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