Department of Mathematics, Monash University, Clayton, Victoria, Australia 3168.
Genetics. 1983 Nov;105(3):745-66. doi: 10.1093/genetics/105.3.745.
A simple approximate formula is found for the mean time for mutant genes to first fix at one or another of two duplicate loci. The fixation is a result of one-way mutation from the wild-type to the mutant alleles, but is retarded by strong selection against the doubly homozygous mutants. The two-dimensional diffusion that models the evolution of the mutant allele frequencies at the two loci is studied by means of a transformation to two univariate diffusions having different time scales. Most of the results, but not all, agree well with the numerical studies by previous authors. Some new simulation results are presented, which agree well with the analytical results and, therefore, cast doubt on some previous simulations.
找到了一个简单的近似公式,用于计算突变基因首次在两个重复基因座中的一个或另一个固定的平均时间。固定是由从野生型到突变等位基因的单向突变引起的,但由于强烈选择反对双重纯合突变体而受到阻碍。通过将模型转换为具有不同时间尺度的两个单变量扩散,研究了在两个基因座上突变等位基因频率的二维扩散。除了某些结果外,大部分结果都与之前作者的数值研究非常吻合。提出了一些新的模拟结果,它们与分析结果非常吻合,因此对一些先前的模拟结果提出了质疑。