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Linkage Analysis. Eric Jorgenson EPI 217 1/25/11. More taste strips. One long One short. Bimodal Distribution of PTC. Types of Genetic Studies. Family Studies Compare trait values across family members Linkage Analysis Compare trait values with inheritance patterns Association
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Linkage Analysis Eric Jorgenson EPI 217 1/25/11
More taste strips • One long • One short
Types of Genetic Studies Family Studies Compare trait values across family members Linkage Analysis Compare trait values with inheritance patterns Association Compare trait values against genetic variants
Family Studies Familial Relationships Twins Siblings Parents/offspring Phenotype information Affected/Unaffected (Prostate Cancer) Quantitative measure (Blood Pressure) No Genotype information required
Why do Family Studies? Is the trait genetic? What is the mode of transmission? Dominant Recessive Additive Polygenic (Multiple genes involved)
First PTC Family Study L. H. Snyder Science 1931
Human Genetic Map (1977) McKusick and Ruddle Science 1977
Linkage Analysis • Narrow down position of disease gene • No biological knowledge needed • Genetic markers (not disease gene) • Recombination
Recombination a A a a b B b b A a a a A a a a b b b b B b B b
Recombination a A a a b B b b R NR NR R A a a a A a a a b b b b B b B b
Independent Assortment a A a a b B b b 25% 25% 25% 25% A a a a A a a a b b b b B b B b
No recombination a A a a b B b b 0% 50% 50% 0% A a a a A a a a b b b b B b B b
Recombination Fraction a A a a b B b b 61 420 442 77 A a a a A a a a b b b b B b B b
Recombination Fraction Recombination Fraction q = Recombinants / Total = 61 + 77 / 61 + 77 + 442 + 420 = 138 / 1000 = 13.8% 61 420 442 77 A a a a A a a a b b b b B b B b
Linkage • Recombination fraction q < 50% • Two traits: PTC and KELL blood group • Two genetic markers • One trait and one genetic marker Linkage Analysis
Human Linkage Analysis • RFLP Markers for Linkage (1980) • Huntington’s Disease Linkage (1983) • Cystic Fibrosis Linkage (1985) • Cystic Fibrosis Gene (1989) • Huntington’s Disease Gene (1993)
Genomewide Linkage Analysis Genetic Markers q = 10% on average Genes
Linkage Analysis • LOD score based on recombination • LOD (q) = log (q)R (1 - q)NR ____________________ (q = 1/2) R + NR • Note that textbook has n-r (=NR) in numerator and n in denominator.
Dominant Trait D d d d 1 2 3 3 D d D d d d 2 3 2 3 1 3
Linkage Analysis 1 2 3 3 R NR NR 1 3 2 3 2 3
LOD score LOD (q) = log (q)1 (1 - q)2 ____________________ (q = 1/2) 1 + 2 = 0.07 for q = 1/3
D d d d Phase Known 1 1 2 2 D d d d 1 2 3 3 D d D d d d 2 3 2 3 1 3
? ? ? ? Phase Unknown ? ? ? ? ? ? D d d d 1 2 3 3 D d D d d d 2 3 2 3 1 3
Phase Unknown 1 2 3 3 ? ? ? 1 3 2 3 2 3
What if we don’t know phase? • We calculate the LOD score for each phase • Divide by 2
Phase Unknown LOD (q) = ½ log (q)1 (1 - q)2 ____________________ (q = 1/2) 1 + 2 + ½ log (q)1 (1 - q)2 ____________________ (q = 1/2) 1+ 2 = -0.02 for q = 0.44
IBD • Identity by descent • Allele Sharing methods • Often used for affected sib pairs
Identity By Descent a A a A 25% 25% 25% 25% A A a A A a a a
Identity By Descent Parent 1 a A Alleles shared IBD 1 1 1 1 A A a A A a a a
Identity By Descent Parent 1 a A 2 1 1 0 A A a A A a a a
Identity By Descent Sibling 1 A A Alleles shared IBD 2 1 1 0 A A a A A a a a
Identity By Descent Sibling 1 A A 2 1 1 0 A A a A A a a a
Identity By Descent • IBD can be used for linkage analysis • Expect 50% alleles shared between siblings • Look for IBD > 50% for concordant pairs • Look for IBD < 50% for discordant pairs
Fine Mapping Linkage markers Genes Kim et al. Science 2003
Linkage Disequilibrium a A a a b B b b A a a a A a a a b b b b B b B b
Linkage Disequilibrium A a a a A a a a b b b b B b B b
Linkage Disequilibrium A a b b
Linkage Disequilibrium A a a a b b b b A a A a a a a a b b b b b b b b
Linkage Disequilibrium a A a A A a B b b b b b Time
Linkage Disequilibrium Mapping Genetic Markers Genes
PTC Linkage Disequilibrium Mapping Kim et al. Science 2003
TAS2R38 Receptor Structure Kim et al. J Dent Res 2004
3 SNPs in the TAS2R38 Gene P A V P A I P V V P V I A A V A A I A V V A V I