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Mendelian Genetics Simple Probabilities & a Little Luck
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Genetics the study of heredity & its mechanisms Gregor Mendel –reported experimental results in 1865/66 –rediscovered in 1903 by de Vries, Correns & von Tschermak
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Genetics Before Mendel, heredity was seen as –the blending of parental contributions –unpredictable Mendel demonstrated that heredity –involves distinct particles –is statistically predictable
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Cross pollination Figure 10.1
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Mendel’s Experiments the model system –garden pea varieties easy to grow short generation time many offspring bisexual –reciprocal cross-pollination self-compatible –self-pollination
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Mendel’s Experiments garden pea varieties –many variable characters a character is a heritable feature –flower color a trait is a character state –blue flowers, white flowers, etc. a heritable trait is reliably passed down a true-breeding variety produces the same trait each generation
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7 characters, 14 traits Table 10.1
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one of Mendel’s characters Figure 10.2
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Mendel’s Experiments Mendel’s experimental design –selected 7 characters with distinct traits –crossed plants with one trait to plants with the alternate trait (P = “parental” generation) –self-pollinated offspring of P (F 1 = first filial generation) –scored traits in F 1 and F 2 generations
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Mendel’s Experiments Mendel’s experimental design –Protocol #1: monohybrid crosses parents were true-breeding for alternate traits of one character parents were reciprocally cross-pollinated F 1 progeny were self-pollinated traits of F 1 & F 2 progeny were scored
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Mendel’s Experiments Mendel’s experimental design –Protocol #1: monohybrid crosses –Results all F 1 progeny exhibited the same trait F 2 progeny exhibited both parental traits in a 3:1 ratio (F 1 trait: alternate trait)
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Mendel’s Experiments Mendel’s experimental design –Protocol #1: monohybrid crosses –Analysis F 1 trait is dominant alternate trait is recessive –disappears from the F 1 generation –reappears, unchanged, in F 2 –Relevance all seven characters have dominant and recessive traits appearing 3:1 in F 2
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seven traits were inherited similarly Table 10.1
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Mendel’s interpretation: inheritance does not involve blending Figure 10.3
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Mendel’s Experiments Mendel’s experimental design –Protocol #1: monohybrid crosses –Interpretation inheritance is by discrete units (particles) hereditary particles occur in pairs particles segregate at gamete formation particles are unaffected by combination =>Mendel’s particles are genes <=
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Mendel’s Experiments Mendel’s experimental design –Protocol #1: monohybrid crosses symbolic representation –P: SS x ss –F 1 :Ss each parent packages one gene in each gamete gametes combine randomly
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recessive traits disappear in the F1 generation Figure 10.4
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Mendel’s Experiments Mendel’s experimental design –Protocol #1: monohybrid crosses [terminology –different versions of a gene = alleles –two copies of an allele = homozygous –one copy of each allele = heterozygous –genetic constitution = genotype –round or wrinkled seeds = phenotype –the genotype is not always seen in the phenotype]
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Mendel’s Experiments Mendel’s experimental design –Protocol #1: monohybrid crosses symbolic representation P: SS x ss F 1 :Ss gamete formation S or s self pollination: S with S s with s S with s or s with S F 2 : SS, ss, Ss, sS
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Punnett to the rescue Figure 10.4
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P: (SS or ss) p(S)=1 x p(s)=1 F 1 : (Ss) p(Ss) =1 x 1=1 p(S)=1/2, p(s)=1/2, so F 2 : p(SS) =1/2 x 1/2=1/4 p(ss) =1/2 x 1/2=1/4 p(Ss)=[1/2x1/2=1/4] x 2=1/2
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Punnett explained by meiosis Figure 10.5 F1: Ss replication S-S & s-s anaphase I S-S or s-s anaphase II S or S or s or s
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Mendel’s Experiments Mendel’s experimental design –Protocol #1: monohybrid crosses if you know the genotypes of the parental generation you can predict the phenotypes of the F 1 & F 2 generations P: Roundx wrinkled F 1 :1/2 Round, 1/2 wrinkled F 2 :3/4 Round, 1/4 wrinkled OR all wrinkled
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Mendel’s Experiments Mendel’s experimental design –Protocol #1: monohybrid crosses if you know the genotypes of the parental generation you can predict the phenotypes of the F 1 & F 2 generations P: Round (Rr)x wrinkled (rr) F 1 :1/2 Round (Rr), 1/2 wrinkled (rr) F 2 :3/4 Round, 1/4 wrinkled OR all wrinkled (RR,Rr,rR,rr) (rr)
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a test cross distinguishes between a homozygous dominant and a heterozygous parent Figure 10.6
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Mendel’s Experiments Mendel’s experimental design –Protocol #2: dihybrid crosses P: crossed true breeding plants with different traits for two characters F 1 : scored phenotypes & self-pollinated F 2 : scored phenotypes
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Mendel’s Experiments Protocol #2: dihybrid crosses –results F 1 : all shared the traits of one parent F 2 : –traits of both parents occurred in 5/8 of F 2 at a 9:1 ratio –non-parental pairs of traits appeared in 3/8 of F 2 at a 1:1 ratio
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combining probabilities of two characters Figure 10.7
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four different gametes by meiosis in F 1 dihybrid progeny Figure 10.8 or
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Mendel’s Experiments Protocol #2: dihybrid crosses –results F 1 : all shared traits of one parent F 2 : –traits of both parents occurred in 5/8 of F 2 at a 9:1 ratio –nonparental pairs of traits appeared in 3/8 of F 2 at a 1:1 ratio –phenotypic ratios: 9:3:3:1
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Mendel’s Experiments Protocol #2: dihybrid crosses –phenotypic ratios: 9:3:3:1 predictable if alleles assort independently –character A - 3:1 dominant:recessive –character B - 3:1 dominant:recessive –characters A & B - »9 dominant A & dominant B »3 dominant A & recessive B »3 recessive A & dominant B »1 recessive A & recessive B
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Mendel’s Experiments Protocol #2: dihybrid crosses –a dihybrid test cross (A_B_ x aabb) F1 all with dominant parent phenotype, or 1:1:1:1 phenotypes
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Mendel without the experiments: pedigrees tracking inheritance patterns in human populations –uncontrolled experimentally –small progenies –unknown parental genotypes Mendelian principles can interpret phenotypic inheritance patterns
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a pedigree of Huntington’s disease Figure 10.10
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a pedigree of albinism Figure 10.11
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some Mendelian luck Multiple alleles –a single gene may have more than two alleles and multiple phenotypes
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One Character, Four Alleles, Five Phenotypes Figure 10.12
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incomplete dominance: intermediate phenotypes Figure 10.13
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some Mendelian luck Incomplete Dominance –alters creates new intermediate phenotypes –reveals genotypes Co-dominance –creates new dominant phenotypes
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co-dominance produces additional phenotypes Figure 10.14
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some Mendelian luck genes may interact –epistasis for mouse coat color –BB or Bb => agouti, bb => black –AA or Aa => colored, aa => white AaBb x AaBb => 9 agouti, 3 black, 4 white –9 AA or Aa with BB or Bb –3 AA or Aa with bb –3 aa with BB, Bb; 1 aa with bb = 4 white
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white, black & agouti Figure 10.15
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some Mendelian luck genes may interact –hybrid vigor (heterosis) hybrids are more vigorous than either inbred parent
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hybrid vigor in maize Figure 10.16
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some Mendelian luck genes may interact –quantitative traits some traits are determined by many genes, each of which may have many alleles
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some Mendelian luck environment may alter phenotype –some traits are altered by the environment of the organism penetrance: proportion of a population expressing the phenotype expressivity: degree of expression of the phenotype
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variation in heterozygotes due to differences in penetrance & expressivity variation in the population due to differences in penetrance, expressivity & genotype Figure 10.17
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Drosophila melanogaster Figure 10.18
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More Mendelian luck: gene linkage gene linkage was first demonstrated in Drosophila melanogaster –some genes do not assort independently F 2 phenotype ratios are not 9:3:3:1 F 1 test cross ratios are not 1:1:1:1 –more parental combinations appear than are expected –fewer recombinant combinations appear than are expected
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2300 test cross progeny Mendel’s luck: some genes are linked Figure 10.18
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hypothetical reproduction without crossing over at prophase I of meiosis
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crossing over can change allele combinations of linked loci Figure 10.19
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recombination frequency depends on distance Figure 10.20 391/2300=0.17 17 map units
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More Mendelian luck: gene linkage if genes were completely linked, only parental phenotypes would result if genes assort independently phenotypes arise in 9:3:3:1 ratio in F 2 when genes are linked, recombinant phenotypes are fewer than expected recombinant frequencies depend on distance –distances can be estimated from recombination rates (1% = 1 map unit)
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chromosome mapping Figure 10.21 YyMm x yymm wt yell. min. y/m expected/1000 250 250 250 250 actual/1000 323 178 177 322
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Mendel’s luck: sex-linked genes Sex determination –honey bees: diploid female, haploid male –grasshopper: XX female, XO male –mammals: XX female, XY male SRY gene determines maleness –Drosophila: XX female, XY male ratio of X:autosomes determines sex –birds, moths & butterflies: ZZ male, ZW female
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Mendel’s luck: sex-linked genes genes carried on X chromosome are absent from the Y chromosome a recessive sex-linked allele is expressed in the phenotype of a male –females may be “carriers” –males express the single allele
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sex-linked genes Figure 10.23
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Mendel’s luck: sex-linked genes human sex-linked inheritance can be deduced from pedigree analysis
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inheritance of X-linked gene Figure 10.24
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Mendel’s Principles Principle of segregation –two alleles for a character are not altered by time spent together in a diploid nucleus Principle of independent assortment –segregation of alleles for one character does not affect segregation of alleles for another character unless both reside on the same chromosome
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