Document Detail

The probability that related individuals share some section of genome identical by descent.
MedLine Citation:
PMID:  6857549     Owner:  NLM     Status:  MEDLINE    
A formal mathematical framework is presented for the study of linkage in man and the concept of chromosome pedigree is defined for both autosomes and X chromosomes. It is shown that, 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 two 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 computation manageable. The probability that an individual with n children passes on all his or her genes to them is also calculated in this way.
K P Donnelly
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Publication Detail:
Type:  Journal Article    
Journal Detail:
Title:  Theoretical population biology     Volume:  23     ISSN:  0040-5809     ISO Abbreviation:  Theor Popul Biol     Publication Date:  1983 Feb 
Date Detail:
Created Date:  1983-07-08     Completed Date:  1983-07-08     Revised Date:  2004-11-17    
Medline Journal Info:
Nlm Unique ID:  0256422     Medline TA:  Theor Popul Biol     Country:  UNITED STATES    
Other Details:
Languages:  eng     Pagination:  34-63     Citation Subset:  IM    
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MeSH Terms
Chromosomes, Human / physiology*
Linkage (Genetics)*
Models, Genetic*
X Chromosome

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