Title: Allelic Association and Transmission Disequilibrium Test
1Allelic Association and Transmission
Disequilibrium Test
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2Linkage Disequilibrium (allelic association)
- Def nonrandom association of alleles at linked
loci - f(A, B) f(A) x f(B)
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4Haplotype
- Haplotype a series of alleles found at linked
loci on a single chromosome. e.g, - A33-Cw10-B58-DRB10301-DQB102(6.3)
A2-B46-Cw11-DRB109-DQB10303 (orientals) - A30-Cw5-B18(Bw6)-DRB10301-DQB102 (most frequent
in Mediterranean) - A1-Cw7-B8(Bw6)-DRB10301- DQB102 (commonest in
European Caucasoids)
5The Relationship of Disease Locus and Marker
Defined by Linkage Disequilibrium
- The stronger the linkage disequilibrium, the
closer the marker is to the disease locus - Mapping and/ or gene identification using LD is
particularly useful in genetically unique or
isolated populations (Amish and Finnish
populations) - LD rarely extends more than 1 cM from the
susceptibility locus, its detection indicates a
significant narrow down of candidate region
6Allelic Association Studies
- How it happens?
- Direct biological action of the genetic
polymorphism - Linkage disequilibrium with a adjacent
susceptibility gene - How useful in the analysis of genetic complex
disease? - Evaluation of candidate gene loci
- Fine mapping of region that is indicated by
linkage analysis for follow-up studies
7Association vs Linkage
- Association and linkage distinct from each other
- Linkage a specific genetic relationship between
loci - Association Statistical statement about the
co-occurrence of alleles or phenotypes - Allele A is associated with disease D
- if individuals who have D also have A more often
than would be predicted from the individual
frequencies of D and A in the population
8Allelic Association
- Def A significantly increased or decreased
frequency of a marker allele with a disease trait
and represents deviations from the random
occurrence of the alleles regarding the disease
phenotypes - Linkage disequilibrium means allelic association
caused or maintained by tight linkage
9Linkage Disequilibrium in Genetic Analysis
- Defining the ancestral haplotype of a disease
gene in relation to several marker loci - Fine-mapping of the disease gene even when
complete linkage (? 0.0) is established in the
family studies - The slowness of linkage disequilibrium decay make
LD a useful mapping tool
10Conditions for LD Mapping
- Founder population
- Geographically isolated population, traceable
ancestry, most individuals of current population
are descendants of a few individuals back ? 250
years (? 20 generations) - The prevalence of a genetic disease is derived
from an allele for a disease gene from a common
ancestor - Both parents in many of the marriages within a
founder populations are heterozygous for a
recessive disease gene, will have a 25 chance of
having an affected offspring
11Rate of Decay of Linkage Disequilibrium time and
distance-dependent
- Dt Do(1-?)t
- t current generation number
- Dt current amount of disequilibrium
- Do disequilibrium at generation 0
- ? recombination fraction between loci
12Decay in linkage disequilibrium
13Significance of Allelic Association
- Allelic associations reflect sharing of ancestral
chromosomes, only alleles at loci tightly linked
to the disease susceptibility locus will still be
shared - For a locus showing recombination fraction (?)
with the susceptibility locus, a proportion (? )
of ancestral chromosome will lose the association
each generation, and a proportion (1- ?) will
retain it. - (1-0.01)44 0.64, loci 1cM apart
- (1-0.03)44 0.26, loci 3 cM apart
14Linkage Disequilibrium as a Mapping Tool-I
- Cystic fibrosis
- mapped to 7q32, the candidate region was still
very large - XV2.c and KM19 marker within the candidate gene
show strong association between (XV2.c1,
KM192) haplotype and CF
15Linkage Disequilibrium as a Mapping Tool-II
- Nijmegen breakage syndrome (NBS)
- Rare autosomal recessive disease characterized by
chromosomal breakage, growth retardation,
microcephaly, immunodeficiency and a
predisposition to cancer - Genetic linkage in families mapped NBS to an 8-Mb
regions between D8S271 and D8S270
16Linkage Disequilibrium as a Mapping Tool-II
- Nijmegen breakage syndrome (NBS)
- 74 haplotypes related to a common ancestral
haplotype. - Some do not have this haplotype, possibly carry
independent NBS mutations. - Others share only part of haplotype, showing the
effect of recombination in distant ancestors
17Ancestral haplotype in patients with Nijmegen
breakage syndrome A allele attributed to AH
51 unrelated patients typed for microsatellites
18Linkage Disequilibrium Mapping
I1
I1
I2
I3
G1
G1
G3
G2
E1
E1
E1
E2
C1
C1
C1
C3
A1
A1
A1
A1
10 generations
Mutation
90 generations
N
M
M
M
N?M
B1
B1
B1
B1
D1
D1
D1
D1
F1
F1
F1
F2
H1
H1
H1
H3
J1
J1
J3
J4
K1
K1
K4
K2
19- Jennings 1917 first developed the concept of LD
- Richard Lewontin (1964) first used LD to measure D
20Linkage Disequilibrium Coefficient (D)(Lewontin
1964)
- D P11- p1q1 (if D significantly differs from
zero, LD is thought to exist) - P11 observed frequency of the 1/1 haplotype
- p1 frequency of the allele 1 at the locus A
- q1 frequency of the allele 1 at the locus B
locus A(1,2)
locus B(1,2)
21- p1 f(A1), p2 1- p1 f(A2)
- q1 f(B1), q2 1-q1 f(B2)
- Dmax min(p1q2, p2q1)
- Dmin max(-p1q1, -p2q2)
- D D/Dmax
- Alternatively,
-
22- D h11- p1q1 , where h11 is the frequency of
the haplotype with the rarer allele at each
locus, and where p and q are frequencies of the
rarer alleles at loci 1 and 2, respectively
(Devlin and Risch, 1995). - D is positive when the rarer alleles at each
locus are associated and is negative when a
common allele is associated with a rare allele - Dmax min(pq, (1-p)(1-q), for D lt0
- Dmax min(p(1-q), q(1-p), for D gt0
23Determination of LD Coefficient
D
- a, b, c, d are the phenotype frequencies of the
/, /-, -/ - and -/- combinations of the alleles in each
haplotype and - n is the sum of the a, b, c, d.
24Measure LD by D(2)(Hill and Robertson 1968)
- R or ? v?2/N D/v(p1p2q1q2)
- ?2 statistic obtained from 2 x 2 table
-
- N total number of haplotypes in the sample
Genome research 10 1435-1444
25Measure of LD-(3)(Bengtsson and Thomson 1981)
- ? D/(q1p22)
- q1 The population frequency of a disease
allele, B1 - P22 the frequency of chromosome that contain
marker allele A2 and normal allele, B2
26- ? and D give more reliable estimates of
physical distances than do D and R, because D and
R depends on allele frequency
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28Quantitative Measurement of Linkage Disequilibrium
- Yule coefficient (p1,1- p1,2)/(p1,1 p1,2 - 2
p1,1 p1,2)(used in Huntingtons disease) - p1,1 the frequency of allele A1 on the
chromosome carrying allele B1 - p1,2 the frequency of allele A1 on the
chromosome carrying allele B2
B1, B2
A1, A2
locus A
locus B
29Allelic association around the locus for
Huntington Disease
Acc I
Total Distance 2500 kb
250 kb
Mbo I
Taq I
L19ps11
BS674
30(n1.)(n.1)/N expected values(600 x 300 /1000
180)
31Advantages of Association Studies
- Association studies are easier to conduct than
linkage analysis , no multicase families or
special family structures - LD is a short range phenomenon, if association
exists, it defines a small candidate region in
which to search for disease gene - Association is more powerful than linkage for
detecting weak susceptibility alleles
32Possible Causes of Positive Association-I
- Direct causation having allele A make you
susceptible to disease D possession of A is
neither necessary nor sufficient to develop
disease, but it increases the likelihood - Natural selection People who have disease D
might be more likely to survive and have children
if they also have allele A - Population stratification population contains
several genetically distinct subsets. Both the
disease D and allele A happen to be particularly
frequent in one subset (HLA-A1 and chopsticks
user in San Francisco bay area).
33Possible Causes of Positive Association-II
- Statistical artefact association studies often
tests a range of loci, each with several alleles,
for association with a disease. The raw p values
need correction for the numbers of genes tested - Linkage disequilibrium If LD exist between the
disease D and the locus A, there should be a gene
near to the A locus that has mutations in people
with disease D.
34Advantages and Pitfalls of Association Study
- Advantages
- Not restricted to nonmendelian genetics
- Easy to perform (case and control)
- Pitfalls
- Selection of controls is very crucial (
representative?!)
35Probabilities calculated from Association studies
must be corrected for the number of questions
asked
Threshold of significance is p 0.05/n
(Bonferroni correction)
36Relative Risk (RR)/Odds Ratio(OR)
- Estimate how many times more the carrier of a
specific allele or haplotype was likely to have a
specific disease associated with the particular
genetic marker studied
37Calculation of RR
- RR a x d/ b x c
- a the number of patients positive for the allele
or haplotype - b the number of patients negative for the allele
or haplotype - c the number of controls positive for the allele
or haplotype - d the number of controls negative for the allele
or haplotype -
38Calculation of RR (Relative Risk)
-
-
Sample - Risk factor Cases Controls Total
- Present a b ab
- Absent c d cd
- Total ac bd n
39- Linkage disequilibrium mapping is carried out
after genetic linkage between a polymorphic locus
and the disease gene is determined
40The Genetic Distance(?) between a Marker Locus
and the Disease Gene that are in Linkage
Disequilibrium-I
- Pexcess Paffected-Pnormal/(1- Pnormal) (1- ?
gq-1 )(1- ? )g - ? recombination fraction between marker and
disease loci - ? mutation rate (1 x 10-6)
- g the number of generations after since the
common ancestor - q world wide frequency of the disease ( 0.001)
41The Genetic Distance(?) between a Marker Locus
and the Disease Gene that are in LD-II
- Pnormal the proportion of the marker allele in
normal chromosomes - Paffected the proportion of the marker allele
in diseased chromosomes - Pexcess measure of disequilibrium, the fraction
of the excess occurrence of a chromosome with the
disease gene and a marker allele compared with
the chromosome with the nondisease gene and the
marker allele
42Functional SNPs in the lymphotoxin-a gene that
are associated with susceptibility to myocardial
infarction(Nature Genetics 32 650-654, 2002)
- Linkage disequilibrium mapping
- Haplotype analysis
- D D/Dmax
4365,671/92,788 70.8
44A cut-off P value of 0.01 for association in
either recessive and dominant mode
45- A SNP in intron 1 of LTA (252A-gtG) on chromosome
6p21was associated with myocardial infraction in
the initial screening
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47- Construct a high-density SNP map for LD mapping
by sequencing 16 MI patients and 16 normal
controls. - 187 SNPs, 130 kb within 6p21
- Select 120 SNPs (gt10) and genotyping 94 MI
patients and 94 subjects from general population - 26 SNPs with minor allele frequency gt 0.25
48ive
491
2
3
4
50- Located in one extended block of intense LD, with
D dropping off near p5-1 and AIF1 - They concluded that the gene associated with
susceptibility to myocardial infraction was
probably located between these two loci
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53The Disatrophic Dysplasia Gene Encodes a Novel
Suflate Transporter Positional Cloning by
Fine-Structure Linkage Disequilibrium Mapping
54Diastrophic dysplasia (DTD) (??????)
- One form of Osteochondrodysplasia
- Constitutional disorders of skeletal system
result in disturbed growth and/or density of bone - First described by Lamy and Maroteaux in 1960
- Autosomal recessive
55Diastrophic dysplasia)(DD)(??????)
- Short-limbed short stature, kyphoscoliosis(?????),
generalized dysplasia of the joints, peculiar
flexion limitation of the finger joints,
hitchhiker thumbs, metatarsus adductus (???)
deformity of the feet, and deformation of the ear
lobes and cleft palate - Joint changes are progressive in nature
- Osteoarthroses(???????) and contractures develop
at an early age
56Diastrophic dysplasia)(DD) (??????)
- Patients are severely physically handicapped and
need repeated corrective orthopedic surgery - Increased mortality in infancy due to respiratory
difficulties and spine anomalies - Intelligency and sexual development are normal
- Life expectancy is not clearly shortened
- Abnormal cartilage, number and morphology of
chondrocytets, the organization of collagen
fibrils, and the deficiency of sulfated
proteoglycans
57Diastrophic dysplasia and D5S72 is Genetically
Closely Linked
No recombination between DD and D5S72 (Z(?) 7.37)
58Principle of Linkage Disequilibrium (LD) Mapping
- Among a collection of chromosomes carrying the
same ancestral mutation, genetic markers nearest
the disease gene will have recombined least often
and thus should show the highest degree of
allelic association with the disease on such
chromosomes
59How to Do Linkage Disequilibrium Mapping
- Determine the haplotypes of disease-bearing
chromosomes for an extremely dense collection of
genetic markers - Use these haplotypes to identify a subset of
chromosomes likely to carry a common ancestral
mutation - Find the genetic markers that show the strongest
allelic association with the disease on these
chromosomes
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61Genetic Linkage studies of DTD
- 18 multiplex and 59 singleton families (a total
of 144 DTD-baring chromosomes) - DTD was initially localized to the interval
between GRL and SPARC on chromosome 5q - CSF1R gene 1-1 haplotype at these two marker
loci was present on 95 of DTD-baring
chromosomes, but only 4 of normal chromosomes
(RFLP analysis)
62Physical map shows locations and direction of
transcription
- AC3 STS from the 3 end of CSF1R
- BT1 CA-repeat (SSR)
- STS content mapping of the clones
- Known genomic organization of PDGFRB-CSF1R
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64Genetic map ordered by recombinational mapping
- DTD was estimated to lie about 0.064 cM from
CSF1R - Genetic map order of each pair of adjacent loci
supported by obligate crossovers with exchange of
flanking markers either in CEPH pedigrees or DTD
families - GRL-ADRB2-D5S413-D5S372-BT1-CSF1R-PDGRRB-RPS14-SPA
RC-D5S72
65Physical map shows locations and direction of
transcription
- AC3 STS from the 3 end of CSF1R
- BT1 CA-repeat (SSR)
- STS content mapping of the clones
- Known genomic organization of PDGFRB-CSF1R
66Number of Normal and DTD chromosomes carrying
Alleles from Finnish Ancestral DTD Haplotype
67- Most DTD-bearing chromosomes carrying a single
predominant allele at each of the 11 markers
studied - 95 of DTD-bearing chromosomes with haplotype
1-1-1-1-1-1-1-1-1-1-1
68Linkage Disequilibrium Mapping
- P excess (P affected P normal)/(1-P normal)
- ?a(1-?)g
- P directly related to proximity to the disease
locus - a proportion of disease-bearing chromosomes
- g the number of generations since the
introduction of ancestral chromosome
69Linkage Disequilibrium in DTD Region
70Clues Regarding the Location of DTD Proximal to
CSF1R
- P excess falls rapidly a the PDGFRb-CSF1R, but
remains high at the marker BT1 proximal to CSF1R. - Haplotype pattern of 144 DTD chromosomes
- Single DTD chromosome lack ancestral allele at
the genetic markers within the PDGFRB and CSF1R
and present at the more proximal genetic markers
BT1 and D5S372.
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72Gene Identification of Region 100 Kb Proximal to
CSF1R
- Exon trapping of P1-1013, P1-1014
- Direct cDNA selection
- Analysis of genomic fragments from this region
- Clones (JH10140B, 0.8 kb fragment from
centromeric end of P1-1014, show strong aa
similarity to the 5 end of rat gene (sat-1,
sulfate transporter) from BLAST program
73Expression Profile of Candidate DTD Gene
Northern blot analysis
Probe 0.8 Kb JH10140B
74DTD 8.4 kb mRNA is Missing from DD Patients
75DTDST gene contains two exons separated by 1.8
kb intron
76DRA gene (down-regulated adenoma) from
subtractive hybridization between colon and colon
carcinoma
77DTDST Shows 12 Transmembrane Helices (hydropathy
analysis)
Two potential N-glycosylation sites at the
N-terminal extracellular loop
78Confirmation of Mutation
Normal
SP Family
Normal
FV Family
JD IM
SA(AG?AC, BsaAI created)
Codon 575 (AAG?AG, Dde I eliminated)
1000 bp? 2 x 500 bp
100 bp(Dde I) ? 40 bp 60 bp
79Summary of Mutations
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81Transmission disequilibrium test (TDT)
- Association studies with internal controls
- Couples who have one or more affected offspring,
it is irrelevant wheterh either parents is
affected or not - To test whether marker alleles M1 is associated
with the disease - Those parents who are heterozygous for M1
82- Let a be the number of times a heterozygous
parent transmits M1 to the affected offspring,
and b be the number of times the other allele is
transmitted. - TDT test statistic is (a-b)2/(ab)
83Stevens-Johnson Syndrome (SJS) or Toxic Epidermal
Necrosis (TEN)
- In 1922, Stevens and Johnson described two
children with fever and stomatitis, severe
disseminated conjunctivitis and cutaneous
eruptions - The reaction develops within 1-4weeks from the
beginning of drug therapy - Mucosal lesion includes lesions of the mouth,
eyes, GI, respiratory tract, anus and vagina
84Drugs associated with SJS and TEN
- Sulfonamides,
- anticonvulsant agents
- Allopurinol, are the most consistently associated
with SJS and TEN - Nonsteroidal antiinflammatory drugs (NSAIDs)
- Analgestic agents
- Nonsulfonamides antibiotics, controversial?
85Typical pattern of Stevens-Johnson syndrome (SJS)
Blisters develop on widespread purpuric macules
N Engl J Med 1333 1600-1607, 1995
86Typical pattern of toxic epidermal necrosis (TEN)
- Severe forms of SJS
- Extensive skin detachment and a poor prognosis
(death rate 3040)
Blisters and wrinkled areas result from
full-thickness necrosis of the epidermis
87A marker for Stevens-Johnson Syndrome
- carbamazepine, treatment for seizures(??)
- 44 CBZ-SJS patients
- 101 CBZ-tolerant (93 Normal controls)
- Diagnostic criterion of SJS/TEN were based on
clinical morphology - SJS skin detachment of ?10,
- TEN skin detachment of ?30,
- Overlapping SJS/TEN skin detachment of 10-30
Nature 428 486, 2004
88Genotyping methods
- HLA-A, -B, -C, DRB1(sequence-specific
oligonucleotide probe, SSOP) - cytochrome p450 (157 Single nucleotide
polymorphism) - What is single nucleotide polymorphism ?
ATG(M)?ATA(I) TTC(F) ?ATC(I))
89Nature 428 486, 2004
90Nature 428 486, 2004