SpectralTDF: transition densities of diffusion processes with time-varying selection parameters, mutation rates and effective population sizes

SpectralTDF: transition densities of diffusion processes with time-varying selection parameters, mutation rates and effective population sizes
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DOI:
10.1093/bioinformatics/btv627
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发表时间:
2016-03-01
期刊:
影响因子:
5.8
通讯作者:
Song, Yun S.
Song, Yun S.
中科院分区:
生物学3区
文献类型:
--
作者:
Steinruecken, Matthias;Jewett, Ethan M.;Song, Yun S.

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动机:在 Wright-Fisher 扩散中,转移密度函数描述了等位基因在群体范围内的频率的时间演化。该函数在群体遗传学中具有多种实际应用,并且针对具有选择和人口统计学的生物学现实场景进行计算是一个重要问题。结果:我们开发了一种有效的方法来查找通用模型的转移密度函数的谱表示,其中有效群体大小、选择系数和突变参数随时间以分段常数方式变化。
Motivation: In the Wright-Fisher diffusion, the transition density function describes the time evolution of the population-wide frequency of an allele. This function has several practical applications in population genetics and computing it for biologically realistic scenarios with selection and demography is an important problem.Results: We develop an efficient method for finding a spectral representation of the transition density function for a general model where the effective population size, selection coefficients and mutation parameters vary over time in a piecewise constant manner.