Document Detail

Sampling genotypes on complex pedigrees with phenotypic constraints: the origin of the B allele among the Polar Eskimos.
MedLine Citation:
PMID:  1500799     Owner:  NLM     Status:  MEDLINE    
Exact probability calculations are often infeasible on large complex pedigrees. Conditional independences, however, occurring as a natural consequence of Mendelian inheritance of genetic traits, define a locally dependent Markov random field on the state space of all genotypic configurations on the pedigree. The underlying Markov chain is irreducible for most traits determined by a diallelic locus. For a given pedigree and a known genetic model, the Gibbs sampler can be used to obtain good estimates of the posterior distribution of genotypes given the observed data. The areas of pedigree analysis to which such an approach would be most directly relevant include genetic counselling and selective animal breeding, together with questions about ancestral genotypes and the ancestral paths of rare alleles. The method is illustrated by tracing the ancestral paths of a rare allele in a simple diallelic system on a highly complex Eskimo pedigree.
N Sheehan
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Publication Detail:
Type:  Journal Article; Research Support, U.S. Gov't, Non-P.H.S.    
Journal Detail:
Title:  IMA journal of mathematics applied in medicine and biology     Volume:  9     ISSN:  0265-0746     ISO Abbreviation:  IMA J Math Appl Med Biol     Publication Date:  1992  
Date Detail:
Created Date:  1992-09-11     Completed Date:  1992-09-11     Revised Date:  2006-11-15    
Medline Journal Info:
Nlm Unique ID:  8704892     Medline TA:  IMA J Math Appl Med Biol     Country:  ENGLAND    
Other Details:
Languages:  eng     Pagination:  1-18     Citation Subset:  IM    
School of Mathematical Sciences, University of Bath, UK.
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MeSH Terms
ABO Blood-Group System / genetics*
Inuits / genetics*
Markov Chains*
Reg. No./Substance:
0/ABO Blood-Group System

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