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Note that the genetic mapis different for men and women
Recombination frequency is higher in meiosisin women
• The CEPH families were instrumental in constructing the map
• But our goal is to map human diseases
•You rarely get large multi-generational highly informative families
• How do we get to a lod score of 3 with small families?
How do we extend the map to identifying disease genes?
That’s the awesome power of logarithms
Science (2006) 312:279-282
Recall: The small family (5 kids) and Mom (informative) was either:
D
2
d
1
D
1
d
2OR
L = [(0.9)5 + (0.1)5 ]/ 2
(0.5)5
Z = log10 L = 0.97
What if there were no crossovers?
(For one crossover, Z = 0.021, the crossover penalty)
Dd 12 dd 22
dd 12 Dd 22 Dd 22 dd 12Dd 12
Add the lod scores from different families
This is the same as multiplying probabilities
What is the probability of two coin flips and getting two heads?
0.5 x 0.5 = 0.25 (product rule in statistics)
If the same markers are in two different families, then they are independent
4 or 5 small families, and a small number of crossovers, should suffice
Works extremely well for DNA markers, more problematic for diseases
If the disease (phenotype) is caused mutations in either of two genes, then mixing lod scores will confound the analysis (called heterogeneity)
Autosomal Recessive
Use IBD Mapping
Look for homozygous region in affected individuals, Not homozygous in unaffected individuals
IDB preserves the haplotype
Similar principle as Linkage Disequilibrium
Except it is with individuals, not populations
Disequilibrium Mapping
A way to map genes using populations
Instead of using pedigress, use all of the patients
We are interested in haplotypes
GAAAGGAAAAGAAGATTTACTTCC[1396bp]GAAGCTCAGAAAGGCGATAATATAAAAAATAT[2502bp]TTGGGAATTTACAGAATAC
Haplotype 3
GAAAGGAAAAGAAGATTTCCTTCC[1396bp]GAAGCTCAGAAAGGTGATAATATAAAAAATAT[2502bp]TTGGGAATTTACAGAATAC
GAAAGGAAAAGAAGATTTACTTCC[1396bp]GAAGCTCAGAAAGGCGATAATATAAAAAATAT[2502bp]TTGGGAATTTACAAAATAC
2 alleles 2 alleles 2 alleles
Haplotype 2
Haplotype 1
A B C D E
A1 B1 C1 D1 E1
A2 B2 C2 D2 E2
Consider five loci each with two alleles
How Many Haploytpes? A1 B2 C1 D2 E1
A2 B2 C1 D1 E2Individual =
Two haplotypes
In theory there are 25 (32) possibilities IF the combinations are independent
In practice, far fewer (5-10 in sub-Mb distances)
A B C D E
A1 B1 C1 D1 E1
A2 B2 C2 D2 E2
Some SNPs are “old”
Example A1 and A2, D1 and D2 If they are in Hardy Weinberg equilibrium,then 4 haplotypes
A1 D1A1 D2A2 D1A2 D2
A new SNP arises (B2), but in just one haplotype
A1 B2 D1
A1 B1 D1A1 B1 D2A2 B1 D1A2 B1 D2
New Haplotype
WHY?
A1 B2 C1 D1 E1A1 B1 C1 D1 E1A1 B1 C1 D2 E1A2 B1 C1 D1 E1A2 B1 C1 D2 E1
Even later, two new SNPs arise (C2 and E2)
A1 B1 C2 D1 E1
A2 B1 C1 D1 E2
So we end up with a total of 7 haplotypes for 5 SNPs
There is a possibility of recombination between SNPs
However, this is very slow and improbable, especially for short distances
Now consider that a disease mutation arises between C and D
Just like the SNPs, it is likely to have arisen once
And it is in only one of the common 7 haplotypes
Therefore the SNP alleles in that haplotype are correlated with the mutation
This is the principle of DISEQUILIBRIUM MAPPING
It depends on:
1. Age of the mutation
2. Age of the SNPs in the haplotype
3. Age of the population
4. Frequency of recombination (distance between) SNPs
Disequilibrium mapping is particularly useful when:
There is a relatively new disease mutation
Relatively isolated (and hopefully new) population (Finland)
A B C D E
*PopulationAlleleFrequencies
1 0.3 0.2 0.8 0.7 0.22 0.7 0.8 0.2 0.3 0.8
If equilibrium, patients should have same allele frequencies
If disequilibrium, patients should have increased frequencies near the disease gene
The degree of deviation should be maximal near the disease gene
A1 B2 C 1 D2 E1
*
Simple Case:
Autosomal dominant disease arises between C and D of a particular genotype
A Few Generations Later:
Allele Frequencies
Population 0.3 0.8 0.3 0.3 0.2
Patients 1 1 1 1 1
Over time:
(Patients only) 0.6 0.9 1 1 0.9
Later
0.4 0.8 1 1 0.7
Deviation fromPopulationFrequency
Distance along Chromosome
Disease Gene
So this is it……………….
How do we find the gene and the mutation?
We need to make the correlation with the genetic map
(for example distance in cM) to the physical map (DNA)
Most important to have the physical map annotated
Distance along Chromosome
Disease Gene
All methods give a map location(Maximum Likelihood)
Point your browser to genome.ucsc.edu
Identify the genes in the interval
Look for best candidate
Expression data (is the gene expressed in affected tissue?)
Is expression of the gene affected in patients?
Ultimately we must search for mutations
DNA sequencing is best (SSCP is usually done first)
Does the mutation make sense
For example, recessive= loss of function
SNP chips Lots of possibilities
Great Dane x Mexican Chihuahua
F1 Big (Great Danes)
3 Big : 1 Small?
Not Likely………….The sum total of many gene….multigenic
Many human disorders, conditions and predispositions are multigenic
Twin studies where identical twins are raised together or raised apart
Look at complex behaviors and ask if they are genetic or environment
Answer: For almost every single behavior…..it’s a little of both
“Heritability” or the fraction of the condition that is genetic
But how many genes?
Association studies…..use SNP chips and the awesome power of
Computational Biology