Analysis of a population genetics model with mutation, selection, and pleiotropy
Analysis of a population genetics model with mutation, selection, and pleiotropy
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DOI：
10.1023/a:1004678222262
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发表时间：
1999-11-01
影响因子：
1.6
通讯作者：
Kadanoff, LP
中科院分区：
文献类型：
--
作者：
Coppersmith, SN;Blank, RD;Kadanoff, LP
我们研究了由Waxman和Peck（1）引入的群体遗传学模型，该模型结合了突变、选择和多效性（一个基因影响几个不相关的性状）。群体是无限的，允许基因型连续变异。尽管如此，Waxman和Peck表明，如果每个基因影响三个或更多的性状，那么模型的稳态解可以对具有相同等位基因的群体具有非零牵引力。我们使用递归技术来计算等位基因在有限时间以及无限时间限制下的分布。我们将Waxman和Peck的模型映射到玻色凝聚的平均场理论中，并将该模型的一个变体映射到量子理论中的束缚态问题。这些映射有助于描绘唯一基因型出现的参数空间区域。我们还讨论了我们试图将DNA序列变异的统计数据与各种基因的多效性程度相关联。
We investigate a population genetics model introduced by Waxman and Peck((1)) incorporating mutation, selection, and pleiotropy (one gene affecting several unrelated traits). Thr population is infinite, and continuous variation of genotype is allowed. Nonetheless, Waxman and peck showed that if each gene affects three or more traits, then the steady-state solution of the model can have a nonzero traction of the population with identical alleles. We use a recursion technique to calculate the distribution of alleles at finite times as well as in the infinite-time limit, We map Waxman and Peck's model into the mean-field theory for Bose condensation, and a variant of the model onto a bound-state problem in quantum theory. These mappings aid in delineating the region of parameter space in which the unique genotype occurs. We also discuss our attempts to correlate the statistics of DNA-sequence variation with the degree of pleiotropy of various genes.