Mathematical Sciences: Problems in Population Genetics

数学科学：群体遗传学问题

• 批准号: 9404566
• 负责人: Stanley Sawyer
• 金额: $ 10.5万
• 依托单位: Washington University
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 1994
• 资助国家: 美国
• 起止时间: 1994-07-15 至 1997-06-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9404566&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Problems; Population; Genetics

Mathematical models will be studied that use DNA sequence data to estimate the amount of mutation and the amount of Darwinian selection that have acted in the past within a biological species. These methods are based on the distribution of site configurations within a set of aligned DNA sequences from a set of individuals at the same gene. The technique can be applied both at ``silent sites'' (which do not change the gene product) and ``replacement sites'' (which cause a different protein or enzyme). The ratio of the two mutation rates gives an estimate of the number of nonlethal changes possible in the protein, and selection rates at silent sites give an estimate of codon bias. These methods will be extended and applied to DNA sequences from a variety of genes in a variety of species, and to aligned DNA sequences from two or more related species. The latter will allow more data to be analyzed, and will allow estimation of the selective differences between related species. Other extensions and similar procedures will also be studied. Mathematical models will be studied that use DNA sequence data to estimate the amount of mutation and the amount of Darwinian selection that have acted in the past within a biological species. These methods will be extended and applied to DNA sequences from a variety of genes in a variety of species, and to aligned DNA sequences from two or more related species. The latter will allow more data to be analyzed, and will allow estimation of the selective differences between related species. Other extensions and similar procedures will also be studied.

将研究使用 DNA 序列数据来估计过去在生物物种中发生的突变量和达尔文选择量的数学模型。 这些方法基于同一基因上一组个体的一组比对 DNA 序列中位点配置的分布。 该技术可以应用于“沉默位点”（不改变基因产物）和“替换位点”（产生不同的蛋白质或酶）。两个突变率的比率给出了蛋白质中可能的非致死变化数量的估计，而沉默位点的选择率给出了密码子偏差的估计。 这些方法将扩展并应用于来自多种物种的多种基因的DNA序列，以及来自两个或多个相关物种的比对DNA序列。 后者将允许分析更多数据，并允许估计相关物种之间的选择性差异。 其他扩展和类似程序也将被研究。 将研究使用 DNA 序列数据来估计过去在生物物种中发生的突变量和达尔文选择量的数学模型。 这些方法将扩展并应用于来自多种物种的多种基因的DNA序列，以及来自两个或多个相关物种的比对DNA序列。后者将允许分析更多数据，并允许估计相关物种之间的选择性差异。 其他扩展和类似程序也将被研究。