MULTIPLE ALLELES AND POLYGENIC INHERITANCEBiology 3Kent Kawashima
Character:eye colorTrait: blueGenotype: AAAATATTATATATCCCCGTAGCTACGATCTATCTATCATCTATCTACTATCTATCTATCTATCTATCTACTATCTATCCGGCGTATCATCGGGGGGGGGGGTACTAGCTAGCTAGCTATCTACGTAGTCTACTGATCTAGCTAGTCATGCTGATCATCGTAGCTGAGCTACTAGTCGATCGTAGCTAGTCATCTAGCTGAGCTAGCTGATCGATCTAGCTAGCTGATCGTAGCGATCGTAGCTAGCTAGTCGATGCTAGCTGATCGTAGCATGCTAGCTGATGCATGCTAGCTAGCTAGCTGATCA…Phenotype: Megan Fox’s blue eyes
Human have 23 pairs of chromosomes.one set comes from the motherone set comes from the father
A gene occurs in pairs in diploid cells.eye color gene pairThe combination of what alleles you have in your gene pair is what is called your genotype.Homologous chromosomesAA, BB, Cc, RrQq, IAIA… These letters are just representations for your genotype. They also simply represent your alleles.
The eye color gene located in chromosome 19…gene for eye colorblue version, green version, brown versionbluegreenbrown…can contain any of the versions for that gene.These versions are called your alleles
“blue” allele“green” allele“brown” allele…AAAATATTATATATCCCCGTAGCTACGATCTATCTATCATCTATCTACTATCTATCTATCTATCTATCTACTATCTATCCGGCGTATCATCGGGGGGGGGGGTACTAGCTAGCTAGCTATCTACGTAGTCTACTGATCTAGCTAGTCATGCTGATCATCGTAGCTGAGCTACTAGTCGATCGTAGCTAGTCATCTAGCTGAGCTAGCTGATCGATCTAGCTAGCTGATCGTAGCGATCGTAGCTAGCTAGTCGATGCTAGCTGATCGTAGCATGCTAGCTGATGCATGCTAGCTAGCTAGCT……AAATTATTATATATCCCCGTAGCTACGATCTATCTATCATCTATCTACTATCTATCTATCTATCTCTCTACTATCTATCCGGCGTATCATCGGGGGGGGGGGTACTAGCTAGCTAGCTATCTACGTAGTCTACTGATCTAGCTAGTCATGCTGATCATCGTAGCTGAGCTACTAGTCGATCGTAGCTAGTCATCTAGCTGAGCTAGCAGATCGATCTAGCTAGCTGATCGTAGCGATCGTAGCTAGCTAGTTGATGCTAGCTGATCGTAGCATGCTAGCTGATGCATGCTAGCTAGCTAGCT……AAACTATTATATATCCCCGTAGCTACGATCTATCTATCATCTATCTACTATCTATCTATCTATCTGTCTACTATCTATCCGGCGTATCATCGGGGGGGGGGGTACTAGCTAGCTAGCTATCTACGTAGTCTACTGATCTAGCTAGTCATGCTGATCATCGTAGCTGAGCTACTAGTCGATCGTAGCTAGTCATCTAGCTGAGCTAGCCGATCGATCTAGCTAGCTGATCGTAGCGATCGTAGCTAGCTAGTAGATGCTAGCTGATCGTAGCATGCTAGCTGATGCATGCTAGCTAGCTAGCT…versions of a gene occur because of small changes in the DNA (in pink)
Since your eye color gene occurs as a pair, you may have two similar allelesgreengreenGenotype: Homozygous for the green allele
…or you may have two different allelesbluegreenGenotype: Heterozygous
…or you may have two different allelesgreenbrownGenotype: Heterozygous
…or you may have two different allelesbrownblueGenotype: Heterozygous
gene for eye colorbluegreenbrownOnly one gene controls the nature of the character…
More than two versions of the gene exists…This is called “Multiple Allele Inheritance”
gene for eye colorgene for eye colorgene for eye colorgene for eye colorWhat if many genes have an effect to one character?This is called “Polygenic Inheritance”
In Polygenic Inheritance…gene for eye color+add more of something!gene for eye color0no effect.gene for eye colorgene for eye coloralleles  that either contribute to a trait or notmany genes
Example.For each + allele you have, it tells your cells to add more pigment to your iris.The 0 alleles however do not add nor subtract pigment, they do not contribute to your phenotype.gene for eye color++gene for eye color+0gene for eye color+0gene for eye color++
+ allele is called a  contributory allele+00 allele is called a non-contributory allele
Compare.+0+0+0+0+0+0++000+++000++0+00+0++0+00+0+6 +, 2 02 +, 6 04 +, 4 08 +8 0
Compare.+0+0+0+0+0+0++000+++000++0+00+0++0+00+0+graydark browngreenbluelight brown
Arranged from least to most melanin produced+0+0+0+0+0+0++000+++000++0+00+0++0+00+0+graydark browngreenbluelight brown
In polygenic inheritance…Many genes contribute to affect a singular character
There is no dominance, an allele either contributes to a phenotype or not
There is an equal effect for each contributory alleleIn polygenic inheritance…Polygenes have two types of alleles, a contributory allele that adds to the phenotype, and a non-contributory allele that has no effect on the phenotypeA(BIG LETTER) - contibutory allelea(small letter) - non-contributory allele
In polygenic inheritance…Phenotypes show a great number of variations
Polygenic inheritance is usually the mode of inheritance for traits that are continuous – weight, height and skin toneSo…Is iris color inherited through multiple alleles or polygenes?
Shortcuts for Polygenic Inheritance Genetics
If you cross…AA  x  aaAABB  x  aabbAa  x  AaAaBb  x  AaBb1 AABB4 AaBB, aABB, AABb, AAbB6 AaBb, aAbB, AabB, aABb, aaBB, AAbb4aAbb, Aabb, aabB, aaBb1 aabball possible genotypes1 AA2 Aa, aA1 AArelative phenotype portions expected
If you cross…AA  x  aaPAa  x  AaF1Number of gene pairs:  n = 1Number of phenotypes in F2:  21 + 1 = 3Number for genotypes regardless of position in the gene pair: 31 = 3(two big A, one big A, no big A)1 AA2 Aa, aA1 aaF2
If you cross…AABB  x  aabbNumber of gene pairs:  n = 2Number of phenotypes in F2:  22 + 1 = 5Number for genotypes regardless of position in the gene pair: 32 = 92 big A, 2 big B2 big A, 1 big B2 big A, 0 big B1 big A, 2 big B1 big A, 1 big B1big A, 0 big B0 big A, 2 big B0 big A, 1 big B0 big A, 0 big BPAaBb  x  AaBbF11 AABB4 AaBB, aABB, AABb, AAbB6 AaBb, aAbB, AabB, aABb, aaBB, AAbb4aAbb, Aabb, aabB, aaBb1 aabbregardless of position in the gene pairF2
Use Pascal’s Triangle to get the coeefficientsof the binomial expansion Pascal’s triangle11 11 2 11 3 3 11 4 6 4 11 5 10 10 5 11 6 15 20 15 6 11 7 21 35 35 21 7 11 8 28 56 70 56 28 8 1(A + a)2nbinomial equation
for 1gene pair, n=1 (A + a)2 = 1A2 + 2Aa + 1a211 11 2 11 3 3 11 4 6 4 11 5 10 10 5 11 6 15 20 15 6 11 7 21 35 35 21 7 11 8 28 56 70 56 28 8 1Use Pascal’s triangle for coefficients
for 2gene pairs, n=2 (A + a)4 = 1A4 + 4A3a + 6A2a2 + 4Aa3 + 1a411 11 2 11 3 3 11 4 6 4 11 5 10 10 5 11 6 15 20 15 6 11 7 21 35 35 21 7 11 8 28 56 70 56 28 8 1Use Pascal’s triangle for coefficients
for 3gene pair, n=3 (A + a)6 = 1A6 + 6A5a + 15A4a2 + 30A3a3 + 15A2a4 + 6Aa5 + 1a611 11 2 11 3 3 11 4 6 4 11 5 10 10 5 11 6 15 20 15 6 11 7 21 35 35 21 7 11 8 28 56 70 56 28 8 1Use Pascal’s triangle for coefficients

Lec10 Genetics Recap

  • 1.
    MULTIPLE ALLELES ANDPOLYGENIC INHERITANCEBiology 3Kent Kawashima
  • 4.
    Character:eye colorTrait: blueGenotype:AAAATATTATATATCCCCGTAGCTACGATCTATCTATCATCTATCTACTATCTATCTATCTATCTATCTACTATCTATCCGGCGTATCATCGGGGGGGGGGGTACTAGCTAGCTAGCTATCTACGTAGTCTACTGATCTAGCTAGTCATGCTGATCATCGTAGCTGAGCTACTAGTCGATCGTAGCTAGTCATCTAGCTGAGCTAGCTGATCGATCTAGCTAGCTGATCGTAGCGATCGTAGCTAGCTAGTCGATGCTAGCTGATCGTAGCATGCTAGCTGATGCATGCTAGCTAGCTAGCTGATCA…Phenotype: Megan Fox’s blue eyes
  • 5.
    Human have 23pairs of chromosomes.one set comes from the motherone set comes from the father
  • 6.
    A gene occursin pairs in diploid cells.eye color gene pairThe combination of what alleles you have in your gene pair is what is called your genotype.Homologous chromosomesAA, BB, Cc, RrQq, IAIA… These letters are just representations for your genotype. They also simply represent your alleles.
  • 7.
    The eye colorgene located in chromosome 19…gene for eye colorblue version, green version, brown versionbluegreenbrown…can contain any of the versions for that gene.These versions are called your alleles
  • 8.
    “blue” allele“green” allele“brown”allele…AAAATATTATATATCCCCGTAGCTACGATCTATCTATCATCTATCTACTATCTATCTATCTATCTATCTACTATCTATCCGGCGTATCATCGGGGGGGGGGGTACTAGCTAGCTAGCTATCTACGTAGTCTACTGATCTAGCTAGTCATGCTGATCATCGTAGCTGAGCTACTAGTCGATCGTAGCTAGTCATCTAGCTGAGCTAGCTGATCGATCTAGCTAGCTGATCGTAGCGATCGTAGCTAGCTAGTCGATGCTAGCTGATCGTAGCATGCTAGCTGATGCATGCTAGCTAGCTAGCT……AAATTATTATATATCCCCGTAGCTACGATCTATCTATCATCTATCTACTATCTATCTATCTATCTCTCTACTATCTATCCGGCGTATCATCGGGGGGGGGGGTACTAGCTAGCTAGCTATCTACGTAGTCTACTGATCTAGCTAGTCATGCTGATCATCGTAGCTGAGCTACTAGTCGATCGTAGCTAGTCATCTAGCTGAGCTAGCAGATCGATCTAGCTAGCTGATCGTAGCGATCGTAGCTAGCTAGTTGATGCTAGCTGATCGTAGCATGCTAGCTGATGCATGCTAGCTAGCTAGCT……AAACTATTATATATCCCCGTAGCTACGATCTATCTATCATCTATCTACTATCTATCTATCTATCTGTCTACTATCTATCCGGCGTATCATCGGGGGGGGGGGTACTAGCTAGCTAGCTATCTACGTAGTCTACTGATCTAGCTAGTCATGCTGATCATCGTAGCTGAGCTACTAGTCGATCGTAGCTAGTCATCTAGCTGAGCTAGCCGATCGATCTAGCTAGCTGATCGTAGCGATCGTAGCTAGCTAGTAGATGCTAGCTGATCGTAGCATGCTAGCTGATGCATGCTAGCTAGCTAGCT…versions of a gene occur because of small changes in the DNA (in pink)
  • 9.
    Since your eyecolor gene occurs as a pair, you may have two similar allelesgreengreenGenotype: Homozygous for the green allele
  • 10.
    …or you mayhave two different allelesbluegreenGenotype: Heterozygous
  • 11.
    …or you mayhave two different allelesgreenbrownGenotype: Heterozygous
  • 12.
    …or you mayhave two different allelesbrownblueGenotype: Heterozygous
  • 13.
    gene for eyecolorbluegreenbrownOnly one gene controls the nature of the character…
  • 14.
    More than twoversions of the gene exists…This is called “Multiple Allele Inheritance”
  • 15.
    gene for eyecolorgene for eye colorgene for eye colorgene for eye colorWhat if many genes have an effect to one character?This is called “Polygenic Inheritance”
  • 16.
    In Polygenic Inheritance…genefor eye color+add more of something!gene for eye color0no effect.gene for eye colorgene for eye coloralleles that either contribute to a trait or notmany genes
  • 17.
    Example.For each +allele you have, it tells your cells to add more pigment to your iris.The 0 alleles however do not add nor subtract pigment, they do not contribute to your phenotype.gene for eye color++gene for eye color+0gene for eye color+0gene for eye color++
  • 18.
    + allele iscalled a contributory allele+00 allele is called a non-contributory allele
  • 19.
  • 20.
  • 21.
    Arranged from leastto most melanin produced+0+0+0+0+0+0++000+++000++0+00+0++0+00+0+graydark browngreenbluelight brown
  • 22.
    In polygenic inheritance…Manygenes contribute to affect a singular character
  • 23.
    There is nodominance, an allele either contributes to a phenotype or not
  • 24.
    There is anequal effect for each contributory alleleIn polygenic inheritance…Polygenes have two types of alleles, a contributory allele that adds to the phenotype, and a non-contributory allele that has no effect on the phenotypeA(BIG LETTER) - contibutory allelea(small letter) - non-contributory allele
  • 25.
    In polygenic inheritance…Phenotypesshow a great number of variations
  • 26.
    Polygenic inheritance isusually the mode of inheritance for traits that are continuous – weight, height and skin toneSo…Is iris color inherited through multiple alleles or polygenes?
  • 27.
    Shortcuts for PolygenicInheritance Genetics
  • 28.
    If you cross…AA x aaAABB x aabbAa x AaAaBb x AaBb1 AABB4 AaBB, aABB, AABb, AAbB6 AaBb, aAbB, AabB, aABb, aaBB, AAbb4aAbb, Aabb, aabB, aaBb1 aabball possible genotypes1 AA2 Aa, aA1 AArelative phenotype portions expected
  • 29.
    If you cross…AA x aaPAa x AaF1Number of gene pairs: n = 1Number of phenotypes in F2: 21 + 1 = 3Number for genotypes regardless of position in the gene pair: 31 = 3(two big A, one big A, no big A)1 AA2 Aa, aA1 aaF2
  • 30.
    If you cross…AABB x aabbNumber of gene pairs: n = 2Number of phenotypes in F2: 22 + 1 = 5Number for genotypes regardless of position in the gene pair: 32 = 92 big A, 2 big B2 big A, 1 big B2 big A, 0 big B1 big A, 2 big B1 big A, 1 big B1big A, 0 big B0 big A, 2 big B0 big A, 1 big B0 big A, 0 big BPAaBb x AaBbF11 AABB4 AaBB, aABB, AABb, AAbB6 AaBb, aAbB, AabB, aABb, aaBB, AAbb4aAbb, Aabb, aabB, aaBb1 aabbregardless of position in the gene pairF2
  • 31.
    Use Pascal’s Triangleto get the coeefficientsof the binomial expansion Pascal’s triangle11 11 2 11 3 3 11 4 6 4 11 5 10 10 5 11 6 15 20 15 6 11 7 21 35 35 21 7 11 8 28 56 70 56 28 8 1(A + a)2nbinomial equation
  • 32.
    for 1gene pair,n=1 (A + a)2 = 1A2 + 2Aa + 1a211 11 2 11 3 3 11 4 6 4 11 5 10 10 5 11 6 15 20 15 6 11 7 21 35 35 21 7 11 8 28 56 70 56 28 8 1Use Pascal’s triangle for coefficients
  • 33.
    for 2gene pairs,n=2 (A + a)4 = 1A4 + 4A3a + 6A2a2 + 4Aa3 + 1a411 11 2 11 3 3 11 4 6 4 11 5 10 10 5 11 6 15 20 15 6 11 7 21 35 35 21 7 11 8 28 56 70 56 28 8 1Use Pascal’s triangle for coefficients
  • 34.
    for 3gene pair,n=3 (A + a)6 = 1A6 + 6A5a + 15A4a2 + 30A3a3 + 15A2a4 + 6Aa5 + 1a611 11 2 11 3 3 11 4 6 4 11 5 10 10 5 11 6 15 20 15 6 11 7 21 35 35 21 7 11 8 28 56 70 56 28 8 1Use Pascal’s triangle for coefficients