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1
Moments for sum of an arbitrary function of gene frequency along a stochastic path of gene frequency change.沿基因频率变化的随机路径上基因频率的任意函数之和的矩。
Proc Natl Acad Sci U S A. 1975 Apr;72(4):1602-4. doi: 10.1073/pnas.72.4.1602.
2
The moments of stochastic integrals and the distribution of sojourn times.随机积分的矩与停留时间的分布。
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3
A Markov process of gene frequency change in a geographically structured population.地理结构种群中基因频率变化的马尔可夫过程。
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Reversibility and the age of an allele. I. Moran's infinitely many neutral alleles model.可逆性与等位基因的年龄。一、莫兰无限多个中性等位基因模型。
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5
The future of human population genetics.人类群体遗传学的未来。
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Analyses of the age of genes and the first arrival times in a finite population.基因年龄分析及有限群体中的首次到达时间。
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5
How old is the most recent ancestor of two copies of an allele?一个等位基因的两份拷贝的最近共同祖先距今多久了？
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Sojourn times and substitution rate at overdominant and linked neutral loci.超显性和连锁中性位点的停留时间及替换率。
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本文引用的文献

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The Average Number of Generations until Fixation of a Mutant Gene in a Finite Population.有限种群中突变基因固定之前的平均世代数。
Genetics. 1969 Mar;61(3):763-71. doi: 10.1093/genetics/61.3.763.
2
On the probability of fixation of mutant genes in a population.关于群体中突变基因固定的概率。
Genetics. 1962 Jun;47(6):713-9. doi: 10.1093/genetics/47.6.713.
3
THE NUMBER OF ALLELES THAT CAN BE MAINTAINED IN A FINITE POPULATION.有限种群中能够维持的等位基因数量。
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Non-Darwinian evolution.非达尔文式进化
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Evolutionary rate at the molecular level.分子水平的进化速率。
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The average number of generations until extinction of an individual mutant gene in a finite population.有限种群中单个突变基因灭绝前的平均世代数。
Genetics. 1969 Nov;63(3):701-9. doi: 10.1093/genetics/63.3.701.
7
The number of heterozygous nucleotide sites maintained in a finite population due to steady flux of mutations.由于突变的稳定通量而在有限种群中维持的杂合核苷酸位点的数量。
Genetics. 1969 Apr;61(4):893-903. doi: 10.1093/genetics/61.4.893.
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Total number of individuals affected by a single deleterious mutation in large populations.
Theor Popul Biol. 1971 Dec;2(4):426-30. doi: 10.1016/0040-5809(71)90031-1.
9
Total number of individuals affected by a single deleterious mutation in a finite population.有限群体中受单个有害突变影响的个体总数。
Am J Hum Genet. 1972 Nov;24(6 Pt 1):667-79.
10
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.在有限群体中突变基因固定过程中，特定基因频率下世代的平均数和方差。
Genet Res. 1972 Apr;19(2):109-13. doi: 10.1017/s0016672300014324.

沿基因频率变化的随机路径上基因频率的任意函数之和的矩。

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

作者信息

Maruyama T, Kimura M

出版信息

Proc Natl Acad Sci U S A. 1975 Apr;72(4):1602-4. doi: 10.1073/pnas.72.4.1602.

DOI:10.1073/pnas.72.4.1602
PMID:1055431
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC432586/
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.

摘要

开发了一种扩散模型，用于计算任意两个指定频率之间样本路径上基因频率的任意函数之和的任意矩。这用于计算频率为χ的突变体的平均年龄，包括或排除其在过程中处于χ等于1的可能性，以及自等位基因起源以来涉及该等位基因的杂合子的总频率。