THE PROBABILITY THAT RELATED INDIVIDUALS SHARE SOME SECTION OF GENOME IDENTICAL BY DESCENT
THE PROBABILITY THAT RELATED INDIVIDUALS SHARE SOME SECTION OF GENOME IDENTICAL BY DESCENT
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DOI：
10.1016/0040-5809(83)90004-7
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发表时间：
1983-01-01
影响因子：
1.4
通讯作者：
DONNELLY, KP
中科院分区：
文献类型：
--
作者：
DONNELLY, KP
本文提出了一个研究人类连锁的形式化数学框架，并定义了常染色体和X染色体的染色体谱系概念。假设没有干扰，谱系中的所有交叉过程可以被共同视为超立方体的顶点上的连续时间马尔可夫随机行走，时间参数是沿着染色体的地图距离沿着。两个个体有一段共同的染色体，从而证明他们是相关的，这一事件对应于随机游走击中一组特定的顶点。这种情况发生的概率是针对各种类型的关系计算的，利用情况的对称性将顶点划分为数量少得多的轨道，并使计算易于管理。一个有n个孩子的个体将他或她的所有基因传递给他们的概率也是以这种方式计算的。
A formal mathematical framework is presented for the study of linkage in man and the concept of chromosome pedigree is defined for autosomes and X chromosomes. Assuming no interference, all the crossover processes in the pedigree may be viewed jointly as a continuous-time Markov random walk on the vertices of a hypercube, the time parameter being map distance along the chromosome. The event that 2 individuals have a segment of chromosome in common, thus proving them to be related, corresponds to the random walk hitting a particular set of vertices. The probability of this happening is calculated for various types of relationship, making use of the symmetry of the situation to partition the vertices into a very much smaller number of orbits and render the computations manageable. The probability that an individual with n children passes on all his or her genes to them is also calculated in this way.