A mathematical treatment of genetical recombination using a four-strand model

Author:

Abstract

A mathematical treatment of genetical recombination is given, using a four-strand model. Two distinct kinds of interference are recognized:chiasma position interference(‘chiasma interference’), affecting the distribution of the chiasmata along the chromosome, andchiasma type interference(‘chromatid interference’) affecting the strands which take part in adjacent chiasmata. Their treatment is based on the methods of Owen and Weinstein respectively. Type interference is of two kinds, according as adjacent chiasmata more frequently involve two or four strands. When chiasma pairs involving two strands are much more frequent, the recombination fraction rises with map distance to about 25% and thereafter creeps up slowly towards the limiting value, 50%; with map distances of the length met in most material, the recombination fraction might scarcely rise above 25%. When all chiasma pairs involve only two strands, the limiting recombination fraction is 25%. When four-strand chiasma pairs are more frequent than two-strand pairs, the recombination fraction rises with increasing map distance to a maximum above 50% and thereafter performs damped oscillations round 50%. When all chiasma pairs involve four strands, the maximum recombination fraction, in the absence of position interference, is 53-34%. When position interference is present, it enhances the effect of type interference and higher maxima are possible; 100% recombination would occur between points separated by two localized chiasmata always involving four strands. It is thought possible that ‘second-order linkage’ may be detectable in some material, i. e. linkage of less than 50% between two loci, each of which shows linkage exceeding 50% with an intermediate marker.

Publisher

The Royal Society

Subject

General Medicine

Reference28 articles.

Cited by 22 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Models of Recombination;Mathematical and Statistical Methods for Genetic Analysis;2002

2. Stochastic modeling of the crossover process during meiosis;Communications in Statistics - Theory and Methods;1998-01

3. What is a genetic map function?;Genetic Mapping and DNA Sequencing;1996

4. An Introduction to Recombination and Linkage Analysis;Genetic Mapping and DNA Sequencing;1996

5. Probabilities of orders in linkage calculations;Annals of Human Genetics;1990-10

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线,采集、加工和组织学术论文而形成的新型学术文献查询和分析系统,可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容,当前同舟云学术共收录了国内外主流学术期刊6万余种,收集的期刊论文及会议论文总量共计约1.5亿篇,并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询!咨询电话:010-8811{复制后删除}0370

www.globalauthorid.com

TOP

Copyright © 2019-2024 北京同舟云网络信息技术有限公司
京公网安备11010802033243号  京ICP备18003416号-3