Mitosis & Meiosis nn n n 2nd Nuclear Division Mendelian Genetics has basically two rules: - the principle of segregation - the principle of independent assortment n 1st Nuclear Division n Meiosis Egg cell To make it interesting, there are many exceptions like: - Gene linkage Codominance Sex Linkage Mitochondrial Linkage Homozygous Dominant Lethality Combined Lethality Maternal Effects Segregation Distortion Penetrance Multiple Alleles Multiple Genes Sperm Meiocyte Fertilization 2n 2n 2n Zygote Diploid Organism Mendel’s Rules: the power of ratios Products of Mitosis & Meiosis X P: 2n Round mono-hybrid cross Wrinkled principle of segregation Mitosis 2n 2n End of Interphase Pro-, MetaAna- Telophase n n Mitosis 2n AA P: x aa F1: Interphase All round Aa x Aa F1: n n 2n Meiosis F2: Separation of hom. chromosomes P: Separation of hom. chromatids F1: F1: All round, yellow F2: F2: Round, yellow 9 Wrinkled, yellow 3 Round green 3 Wrinkled, green 1 Aa aa Genotyping principle of independent assortment P: AA BB a AA Aa 3 : 1 Gametes di-hybrid cross Wrinkled, green a 1875 Mendel’s Rules: X Round, yellow 5474 n 2nd Nuclear Division A 3 : 1 n 1st Nuclear Division A F2: x aa bb X P: Round (AA) Wrinkled (aa) Aa Bb x Aa Bb AB Ab aB ab AB AABB AABb AaBB AaBb Ab AABb AAbb AaBb Aabb aB AaBB AaBb aaBB ab AaBb 9 : Aabb 3 aaBb F1: All round (Aa) Problem: What is the genotype of this , Aa or AA? aaBb aabb : 3 : 1 1 Problem: What is the genotype of this Genotyping by backcrossing Testcross: Crossing the unknown (Aa or AA) to the recessive phenotype (aa) Case 2: Unknown genotype is Aa P: AA BB Aa (1:0) Aa x aa Aa and aa (1:1) x aa bb Expected: Observed: F1: Aa Bb x Aa Bb F2: AB AA x aa Case 1: Unknown genotype is AA Chi-square test: Is my hypothesis correct? - Aa or AA? Ab aB 90 89 30 25 30 31 1 = 160 15 = 160 ab AB AABB AABb AaBB AaBb Ab AABb AAbb AaBb Aabb aB AaBB AaBb aaBB aaBb ab AaBb Aabb aaBb aabb 9 : 3 : 3 : 1 χ2 = SUM (Obs - Exp) 2 Expected 89 : 25 : 31 : 15 Chi-square test: Is my hypothesis correct? Expected: Observed: 90 89 30 25 χ2 = SUM (89 - 90) 2 90 + (25 - 30) 2 30 + 30 31 1 = 160 15 = 160 (Obs - Exp) 2 - for example: wing size, wing color, patch color ( usually three) Expected (31 - 30) 2 30 + (15 - 10) 2 10 Step 1: Wake Up! 1. What traits are observed? = 3.37 = χ2 Step 2: Get Organized! 2. What is the dominant and what is the resessive phenotype for each trait? - for example: large versus small wing size x 3! 3. Which butterflies are homozygous dominant/recessive? Interpretation of χ2-value: -Degree of freedom (# of classes minus 1) -p value 0.05 or higher suggests “true” Step 3: Get Focused! 4. Do the observed traits follow Mendel’s rules? for example: - does a mono-hybrid cross give a 3:1 ratio? - does a two-hybrid cross give a 9:3:3:1 ratio? Step 4: Get Smart! 5. If there is a “Non-Mendel” trait: What kind of exception is it and why? 2