Literature DB >> 1055431

Moments for sum of an arbitrary function of gene frequency along a stochastic path of gene frequency change.

T Maruyama, M Kimura.   

Abstract

A diffusion model is developed to compute any moment of the sum of an arbitrary function of the gene frequency along sample paths between any two specified frequencies. This is used to calculate the mean age of a mutant of frequency chi, including or excluding the possibility of its having been at value chi equals 1 during the process, and the total frequency of heterozygotes involving an allele since its origin.

Mesh：

Year:  1975        PMID： 1055431      PMCID： PMC432586          DOI： 10.1073/pnas.72.4.1602

Source DB:  PubMed          Journal:  Proc Natl Acad Sci U S A        ISSN： 0027-8424            Impact factor:   11.205


  19 in total

1.  THE NUMBER OF ALLELES THAT CAN BE MAINTAINED IN A FINITE POPULATION.

Authors:  M KIMURA; J F CROW
Journal:  Genetics       Date:  1964-04       Impact factor: 4.562

2.  The moments of stochastic integrals and the distribution of sojourn times.

Authors:  T Nagylaki
Journal:  Proc Natl Acad Sci U S A       Date:  1974-03       Impact factor: 11.205

3.  On some principles governing molecular evolution.

Authors:  M Kimura; T Ohta
Journal:  Proc Natl Acad Sci U S A       Date:  1974-07       Impact factor: 11.205

4.  Conditional diffusion processes in population genetics.

Authors:  W J Ewens
Journal:  Theor Popul Biol       Date:  1973-03       Impact factor: 1.570

5.  The age of a neutral mutant persisting in a finite population.

Authors:  M Kimura; T Ohta
Journal:  Genetics       Date:  1973-09       Impact factor: 4.562

6.  The dilemma of nearly neutral mutations. How important are they for evolution and human welfare?

Authors:  J F Crow
Journal:  J Hered       Date:  1972 Nov-Dec       Impact factor: 2.645

7.  The average number and the variance of generations at particular gene frequency in the course of fixation of a mutant gene in a finite population.

Authors:  T Maruyama
Journal:  Genet Res       Date:  1972-04       Impact factor: 1.588

8.  Total number of individuals affected by a single deleterious mutation in large populations.

Authors:  M Nei
Journal:  Theor Popul Biol       Date:  1971-12       Impact factor: 1.570

9.  The average number of generations until extinction of an individual mutant gene in a finite population.

Authors:  M Kimura; T Ota
Journal:  Genetics       Date:  1969-11       Impact factor: 4.562

10.  Evolutionary rate at the molecular level.

Authors:  M Kimura
Journal:  Nature       Date:  1968-02-17       Impact factor: 49.962
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  6 in total

1.  Sojourn times and substitution rate at overdominant and linked neutral loci.

Authors:  J Ohashi; K Tokunaga
Journal:  Genetics       Date:  2000-06       Impact factor: 4.562

2.  How old is the most recent ancestor of two copies of an allele?

Authors:  Nick J Patterson
Journal:  Genetics       Date:  2004-11-01       Impact factor: 4.562

3.  Analyses of the age of genes and the first arrival times in a finite population.

Authors:  T Maruyama; P A Fuerst
Journal:  Genetics       Date:  1983-12       Impact factor: 4.562

4.  Strong neutral sweeps occurring during a population contraction.

Authors:  Antoine Moinet; Flávia Schlichta; Stephan Peischl; Laurent Excoffier
Journal:  Genetics       Date:  2022-04-04       Impact factor: 4.562

5.  Population differentiation of polygenic score predictions under stabilizing selection.

Authors:  Sivan Yair; Graham Coop
Journal:  Philos Trans R Soc Lond B Biol Sci       Date:  2022-04-18       Impact factor: 6.671

6.  Deleterious alleles in the human genome are on average younger than neutral alleles of the same frequency.

Authors:  Adam Kiezun; Sara L Pulit; Laurent C Francioli; Freerk van Dijk; Morris Swertz; Dorret I Boomsma; Cornelia M van Duijn; P Eline Slagboom; G J B van Ommen; Cisca Wijmenga; Paul I W de Bakker; Shamil R Sunyaev
Journal:  PLoS Genet       Date:  2013-02-28       Impact factor: 5.917
  6 in total

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