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MULTIPLE ALLELES AND POLYGENIC INHERITANCE Biology 3 Kent Kawashima
Character:eye color Trait: blue Genotype: AAAATATTATATATCCCCGTAGCTACGATCTATCTATCATCTATCTACTATCTATCTATCTATCTATCTACTATCTATCCGGCGTATCATCGGGGGGGGGGGTACTAGCTAGCTAGCTATCTACGTAGTCTACTGATCTAGCTAGTCATGCTGATCATCGTAGCTGAGCTACTAGTCGATCGTAGCTAGTCATCTAGCTGAGCTAGCTGATCGATCTAGCTAGCTGATCGTAGCGATCGTAGCTAGCTAGTCGATGCTAGCTGATCGTAGCATGCTAGCTGATGCATGCTAGCTAGCTAGCTGATCA… Phenotype: Megan Fox’s blue eyes
Human have 23 pairs of chromosomes. one set comes from the mother one set comes from the father
A gene occurs in pairs in diploid cells. eye color gene pair The combination of what alleles you have in your gene pair is what is called your genotype. Homologous chromosomes AA, 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 color blue version, green version,  brown version blue green brown …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 alleles green green Genotype: Homozygous for the green allele
…or you may have two different alleles blue green Genotype: Heterozygous
…or you may have two different alleles green brown Genotype: Heterozygous
…or you may have two different alleles brown blue Genotype: Heterozygous
gene for eye color blue green brown ,[object Object]
More than two versions of the gene exists…This is called “Multiple Allele Inheritance”
gene for eye color gene for eye color gene for eye color gene for eye color What 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 color 0 no effect. gene for eye color gene for eye color alleles  that either contribute to a trait or not many 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 + 0 gene for eye color + 0 gene for eye color + +
+ allele is called a  contributory allele + 0 0 allele is called a non-contributory allele
Compare. + 0 + 0 + 0 + 0 + 0 + 0 + + 0 0 0 + + + 0 0 0 + + 0 + 0 0 + 0 + + 0 + 0 0 + 0 + 6 +, 2 0 2 +, 6 0 4 +, 4 0 8 + 8 0
Compare. + 0 + 0 + 0 + 0 + 0 + 0 + + 0 0 0 + + + 0 0 0 + + 0 + 0 0 + 0 + + 0 + 0 0 + 0 + gray dark brown green blue light brown
Arranged from least to most melanin produced + 0 + 0 + 0 + 0 + 0 + 0 + + 0 0 0 + + + 0 0 0 + + 0 + 0 0 + 0 + + 0 + 0 0 + 0 + gray dark brown green blue light brown
In polygenic inheritance… ,[object Object]
There is no dominance, an allele either contributes to a phenotype or not
There is an equal effect for each contributory allele,[object Object]
In polygenic inheritance… ,[object Object]
Polygenic inheritance is usually the mode of inheritance for traits that are continuous – weight, height and skin tone,[object Object]
Shortcuts for Polygenic Inheritance Genetics
If you cross… AA  x  aa AABB  x  aabb Aa  x  Aa AaBb  x  AaBb 1 AABB 4 AaBB, aABB, AABb, AAbB 6 AaBb, aAbB, AabB, aABb, aaBB, AAbb 4aAbb, Aabb, aabB, aaBb 1 aabb all possible genotypes 1 AA 2 Aa, aA 1 AA relative phenotype portions expected
If you cross… AA  x  aa P Aa  x  Aa F1 Number of gene pairs:  n = 1 Number of phenotypes in F2:  21 + 1 = 3 Number for genotypes regardless of position in the gene pair: 31 = 3 (two big A, one big A, no big A) 1 AA 2 Aa, aA 1 aa F2
If you cross… AABB  x  aabb Number of gene pairs:  n = 2 Number of phenotypes in F2:  22 + 1 = 5 Number for genotypes regardless of position in the gene pair: 32 = 9 2 big A, 2 big B 2 big A, 1 big B 2 big A, 0 big B 1 big A, 2 big B 1 big A, 1 big B 1big A, 0 big B 0 big A, 2 big B 0 big A, 1 big B 0 big A, 0 big B P AaBb  x  AaBb F1 1 AABB 4 AaBB, aABB, AABb, AAbB 6 AaBb, aAbB, AabB, aABb, aaBB, AAbb 4aAbb, Aabb, aabB, aaBb 1 aabb regardless of position in the gene pair F2
Use Pascal’s Triangle to get the coeefficientsof the binomial expansion  Pascal’s triangle 1 1 1 1 2 1 1 3 3 1 1 4 6 4 1 1 5 10 10 5 1 1 6 15 20 15 6 1 1 7 21 35 35 21 7 1 1 8 28 56 70 56 28 8 1 (A + a)2n binomial equation
for 1gene pair, n=1  (A + a)2 = 1A2 + 2Aa + 1a2 1 1 1 1 2 1 1 3 3 1 1 4 6 4 1 1 5 10 10 5 1 1 6 15 20 15 6 1 1 7 21 35 35 21 7 1 1 8 28 56 70 56 28 8 1 Use Pascal’s triangle for coefficients
for 2gene pairs, n=2  (A + a)4 = 1A4 + 4A3a + 6A2a2 + 4Aa3 + 1a4 1 1 1 1 2 1 1 3 3 1 1 4 6 4 1 1 5 10 10 5 1 1 6 15 20 15 6 1 1 7 21 35 35 21 7 1 1 8 28 56 70 56 28 8 1 Use Pascal’s triangle for coefficients
for 3gene pair, n=3  (A + a)6 = 1A6 + 6A5a + 15A4a2 + 30A3a3 + 15A2a4 + 6Aa5 + 1a6 1 1 1 1 2 1 1 3 3 1 1 4 6 4 1 1 5 10 10 5 1 1 6 15 20 15 6 1 1 7 21 35 35 21 7 1 1 8 28 56 70 56 28 8 1 Use Pascal’s triangle for coefficients

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Lec10 Genetics Recap

  • 1. MULTIPLE ALLELES AND POLYGENIC INHERITANCE Biology 3 Kent Kawashima
  • 2.
  • 3.
  • 4. Character:eye color Trait: blue Genotype: AAAATATTATATATCCCCGTAGCTACGATCTATCTATCATCTATCTACTATCTATCTATCTATCTATCTACTATCTATCCGGCGTATCATCGGGGGGGGGGGTACTAGCTAGCTAGCTATCTACGTAGTCTACTGATCTAGCTAGTCATGCTGATCATCGTAGCTGAGCTACTAGTCGATCGTAGCTAGTCATCTAGCTGAGCTAGCTGATCGATCTAGCTAGCTGATCGTAGCGATCGTAGCTAGCTAGTCGATGCTAGCTGATCGTAGCATGCTAGCTGATGCATGCTAGCTAGCTAGCTGATCA… Phenotype: Megan Fox’s blue eyes
  • 5. Human have 23 pairs of chromosomes. one set comes from the mother one set comes from the father
  • 6. A gene occurs in pairs in diploid cells. eye color gene pair The combination of what alleles you have in your gene pair is what is called your genotype. Homologous chromosomes AA, BB, Cc, RrQq, IAIA… These letters are just representations for your genotype. They also simply represent your alleles.
  • 7. The eye color gene located in chromosome 19… gene for eye color blue version, green version, brown version blue green brown …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 eye color gene occurs as a pair, you may have two similar alleles green green Genotype: Homozygous for the green allele
  • 10. …or you may have two different alleles blue green Genotype: Heterozygous
  • 11. …or you may have two different alleles green brown Genotype: Heterozygous
  • 12. …or you may have two different alleles brown blue Genotype: Heterozygous
  • 13.
  • 14. More than two versions of the gene exists…This is called “Multiple Allele Inheritance”
  • 15. gene for eye color gene for eye color gene for eye color gene for eye color What if many genes have an effect to one character? This is called “Polygenic Inheritance”
  • 16. In Polygenic Inheritance… gene for eye color + add more of something! gene for eye color 0 no effect. gene for eye color gene for eye color alleles that either contribute to a trait or not many 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 + 0 gene for eye color + 0 gene for eye color + +
  • 18. + allele is called a contributory allele + 0 0 allele is called a non-contributory allele
  • 19. Compare. + 0 + 0 + 0 + 0 + 0 + 0 + + 0 0 0 + + + 0 0 0 + + 0 + 0 0 + 0 + + 0 + 0 0 + 0 + 6 +, 2 0 2 +, 6 0 4 +, 4 0 8 + 8 0
  • 20. Compare. + 0 + 0 + 0 + 0 + 0 + 0 + + 0 0 0 + + + 0 0 0 + + 0 + 0 0 + 0 + + 0 + 0 0 + 0 + gray dark brown green blue light brown
  • 21. Arranged from least to most melanin produced + 0 + 0 + 0 + 0 + 0 + 0 + + 0 0 0 + + + 0 0 0 + + 0 + 0 0 + 0 + + 0 + 0 0 + 0 + gray dark brown green blue light brown
  • 22.
  • 23. There is no dominance, an allele either contributes to a phenotype or not
  • 24.
  • 25.
  • 26.
  • 27. Shortcuts for Polygenic Inheritance Genetics
  • 28. If you cross… AA x aa AABB x aabb Aa x Aa AaBb x AaBb 1 AABB 4 AaBB, aABB, AABb, AAbB 6 AaBb, aAbB, AabB, aABb, aaBB, AAbb 4aAbb, Aabb, aabB, aaBb 1 aabb all possible genotypes 1 AA 2 Aa, aA 1 AA relative phenotype portions expected
  • 29. If you cross… AA x aa P Aa x Aa F1 Number of gene pairs: n = 1 Number of phenotypes in F2: 21 + 1 = 3 Number for genotypes regardless of position in the gene pair: 31 = 3 (two big A, one big A, no big A) 1 AA 2 Aa, aA 1 aa F2
  • 30. If you cross… AABB x aabb Number of gene pairs: n = 2 Number of phenotypes in F2: 22 + 1 = 5 Number for genotypes regardless of position in the gene pair: 32 = 9 2 big A, 2 big B 2 big A, 1 big B 2 big A, 0 big B 1 big A, 2 big B 1 big A, 1 big B 1big A, 0 big B 0 big A, 2 big B 0 big A, 1 big B 0 big A, 0 big B P AaBb x AaBb F1 1 AABB 4 AaBB, aABB, AABb, AAbB 6 AaBb, aAbB, AabB, aABb, aaBB, AAbb 4aAbb, Aabb, aabB, aaBb 1 aabb regardless of position in the gene pair F2
  • 31. Use Pascal’s Triangle to get the coeefficientsof the binomial expansion Pascal’s triangle 1 1 1 1 2 1 1 3 3 1 1 4 6 4 1 1 5 10 10 5 1 1 6 15 20 15 6 1 1 7 21 35 35 21 7 1 1 8 28 56 70 56 28 8 1 (A + a)2n binomial equation
  • 32. for 1gene pair, n=1 (A + a)2 = 1A2 + 2Aa + 1a2 1 1 1 1 2 1 1 3 3 1 1 4 6 4 1 1 5 10 10 5 1 1 6 15 20 15 6 1 1 7 21 35 35 21 7 1 1 8 28 56 70 56 28 8 1 Use Pascal’s triangle for coefficients
  • 33. for 2gene pairs, n=2 (A + a)4 = 1A4 + 4A3a + 6A2a2 + 4Aa3 + 1a4 1 1 1 1 2 1 1 3 3 1 1 4 6 4 1 1 5 10 10 5 1 1 6 15 20 15 6 1 1 7 21 35 35 21 7 1 1 8 28 56 70 56 28 8 1 Use Pascal’s triangle for coefficients
  • 34. for 3gene pair, n=3 (A + a)6 = 1A6 + 6A5a + 15A4a2 + 30A3a3 + 15A2a4 + 6Aa5 + 1a6 1 1 1 1 2 1 1 3 3 1 1 4 6 4 1 1 5 10 10 5 1 1 6 15 20 15 6 1 1 7 21 35 35 21 7 1 1 8 28 56 70 56 28 8 1 Use Pascal’s triangle for coefficients
  • 35. for n number of gene pairs, (A + a)2n = (2nC0)A2na0+ (2nC1)A2n-1a1+ (2nC2)A2n-2a2+ … + (2nC2n)A0a2n 1 1 1 1 2 1 1 3 3 1 1 4 6 4 1 1 5 10 10 5 1 1 6 15 20 15 6 1 1 7 21 35 35 21 7 1 1 8 28 56 70 56 28 8 1 2n C x, x=0 -> 2n OR Use Pascal’s triangle for coefficients combination
  • 36. for 2gene pairs, n=2 number of contributory alleles means 1/16 has 4 contributory alleles number of non-contributory alleles (A + a)4 = 1A4 + 4A3a + 6A2a2 + 4Aa3 + 1a4 Coefficients show the relative portion of the generation showing that polygenic genotype means 4/16 has just 3 contributory alleles