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Great Dane x Mexican Chihuahua. F1 Big (Great Danes). 3 Big : 1 Small. The Genius of Mendel. Highly inbred strains of peas Differed by single character. Round x Wrinkled (WT x mutant) F1 All Round F2 5474 Round 1850 Wrinkled 2.96:1 (3:1) Needs Statistics.
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Great Dane x Mexican Chihuahua F1 Big (Great Danes) 3 Big : 1 Small
The Genius of Mendel • Highly inbred strains of peas • Differed by single character Round x Wrinkled (WT x mutant) F1 All Round F2 5474 Round 1850 Wrinkled 2.96:1 (3:1) Needs Statistics
Mapping in Drosophila Ly Sb br + + +
Lots of variation in people There must be a genetic component How do we assign “traits” to genes? Ultimately want a molecular description Start with inherited diseases
Pedigrees……Mendel’s First Law Autosomal Dominant Disorder
Autosomal Recessive Disease is apparent because of consanguinity (III 5 &6)
Population Genetics Phenotypic GENOTYPIC Science of Intraspecific Variation • Genotypic Variation: Alleles, Polymorphism • Ultimate Source of Variation: Mutation • Dynamics of Variation during Population History • Changes in Allele Frequencies due to • Drift • Selection • Persistence of Allele Combinations due to Linkage • Linkage Disequilibrium
2. Context is unimportant (unless we have linkage…next) AGACAGAAAGGAAAAGAACCTTCCATTTTTGGCTGTGCCAAGAAGCTCAGAAAGGTGATAATATAAAAAATATATAGTTAATTGGGAATTGAATTTACAAAATACATTGTG AGACAGAAAGGAAAAGAACCTTCCATTTTTGGCTGTGCCAAGAAGCTCAGAAAGGCGATAATATAAAAAATATATAGTTAATTGGGAATTGAATTTACAAAATACATTGTG Allele 2: C Allele 1: T Some Basics 1 1. Only refer to one strand, and don’t confuse strands with alleles Allele 1 Allele 2 Allele 1 Allele 2 GATTACA GATCACA TGTAATC TGTGATC = TGTAATC GATTACA TGTGATC GATCACA
4. Linkage makes things more complicated but only if you actually care about linkage: Linkage equilibrium/disequilibrium. 2 alleles 2 alleles 2 alleles Haplotype 1 GAAAGGAAAAGAAGATTTCCTTCC[1396bp]GAAGCTCAGAAAGGTGATAATATAAAAAATAT[2502bp]TTGGGAATTTACAGAATAC Haplotype 2 GAAAGGAAAAGAAGATTTACTTCC[1396bp]GAAGCTCAGAAAGGCGATAATATAAAAAATAT[2502bp]TTGGGAATTTACAAAATAC Haplotype 3 GAAAGGAAAAGAAGATTTACTTCC[1396bp]GAAGCTCAGAAAGGCGATAATATAAAAAATAT[2502bp]TTGGGAATTTACAGAATAC Some Basics 2 3. Because mutations are rare events, the vast majority of variation is BINARY, at the base pair level. CAAAGGAAAAGAATGCCTTCCATTTTTGGCTGTGCCAAGAAGCTCAGAAAGGTGATAATATAAAAAATATATAGTTAATTGGGAATTGAATTTACAAAATACATT Allele 1 Allele 2 CAAAGGAAAAGAATGCCTTCCATTTTTGGCTGTGCCAAGAAGCTCAGAAAGGCGATAATATAAAAAATATATAGTTAATTGGGAATTGAATTTACAAAATACATT
p = 0.59 frequency of major allele 6. We’ll be talking about diploids, and genotype probabilities (which sum to 1) can be calculated from allele frequencies. (And vice versa; and under certain assumptions) T,T T,C C,C Prob. of having: Some Basics 3 5. Alleles have frequencies in the population (which sum to 1) Frequency of Allele 1 (T) = 0.59 Frequency of Allele 2 (C) = 0.41 0.35 0.48 0.17 p2 2pq q2
What about two different genes? Consider two genes A and B that each have two alleles A a B b Allelic frequencies are 0.5 (At the “A” locus A=0.5, a= 0.5) (At the “B” locus B=0.5 and b=0.5) For A and a genotype frequencies = p2 +2pq +q2 AA , Aa and aa individuals = 0.25 + 0.5 + 0.25 The same for BB, Bb and bb How many AA BB individuals are (0.25 x 0.25) aa Bb individuals are (0.25 x 0.50) Both genes are in “equilibrium”. (Hardy and Weinberg)
Hardy Weinberg is the Population Equivalent of the Punnett Square a A A AA Aa Aa aa a (p + q)2 = p2 +2pq + q2
Average Mutation Rates in Mammals Exceptions Hypermutable sites (CpGs) C->T = 10x avg point rate Simple Sequence Repeats 10-1000x indel rate (some 10-4!) mitochondrial DNA 10-100x nuclear point rate Point substitution (nuc) 0.5 x 10-8per base pair Microdeletion (1-10bp) ~10-9 per base pair Microinsertion (1-10bp) ~0.5 x 10-9per base pair Mobile element ins’n ~10-11 Inversion ?? much rarer Mutation Rate per Generation 1 generation How often per generation does this happen?
Haploid Human Genome is ~2 x 109 base pairs Most of the DNA is non-coding Introns, Intragenic regions, LINES, SINES etc AT the DNA level, can have tremendous variation ath no phenotypic consequenses
Remember the LacI gene (the repressor) Nonsense mutations at every codon Substitute every AA at every position White means no phenotype Lesson….most mutations in coding regions are silent
Drift vs. Selection The two forces that determine the fate of alleles in a population • Drift • Change in allele frequencies due to sampling • Selection • Change in allele frequencies due to function
Gen 19 This is like 107 independent populations Gen 0 For every bottle: after eggs hatch pick 8 male larvae and 8 female larvae, stick in a new bottle. Repeat for 19 generations.
Genetic Drift: Size Matters 4 populations 2 at N=25 2 at N=250 From Li (1997) Molecular Evolution, Sinauer Press
Selection & Fitness “Absolute Fitness” = “Viability” = # of survivors / total # progeny produced = P(survival until mean reproductive age) If Fitness depends on Genotype, then we have (natural) Selection
Selection vs Drift Recap From the perspective of disease severity: Given a particular selection coefficient (picture severity of disease), selection is only effective in a population whose size is large enough to overcome the effect of drift. From the perspective of population size: Given a particular population size, only alleles that bear a large enough selection coefficient (picture severity of disease) will be strongly selected against.
Linkage disequilibrium: the big (and oversimplified) picture A new mutation! (on the "red" chromosome) Eager geneticist obtains samples from multiple affected individuals • Small number (maybe one) of ancestral disease-causing mutations • Isolation of chromosome bearing disease-causing mutation • "Reasonable" opportunity for recombination during population history • (Think Finland: 1000 founders 2000 years ago; consistent expansion) • Few (maybe none) reoccurrences of disease-causing mutation
LD and time: history at work Do we care about: The age of the mutation or the age of the founding population?
DNA haplotype • Haplotype = a series of marker alleles on a chromosome (DNA molecule) • E.g.: DNA sequence, a series of SNPs or microsatellites along a chromosome.