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Welcome to Week 3! Today’s Agenda: 1. Follow-up from last week: “Big Ideas” from Pedigrees and Probabilities 2. Group Discussion: Genetics and Agriculture in the Developing World 3. In-Class Assignment 3 4. Introduction to Chromosome Mapping (Ch 4) Why is it important to understand independent assortment of genes? • In agriculture? • In animal breeding? • In genetics research? What does independent assortment mean? • Chromosome pairs act independently at meiosis • Alleles of the heterozygous gene pairs show an “independent assortment” Mendel’s peas again… • He performed a dihybrid cross • Used the genes for seed shape and seed color Mendel crossed two homozygous dihybrids • What is the expected genotypes of the F1? • What is the expected phenotype if the F1 is selfed? Mendel’s 2nd Law (Principle of Independent Assortment) • He concluded that different gene pairs assort independently in gamete formation • What type of genes would not follow this law? Predicting ratios of progeny: Branch diagrams • Perform a dihybrid cross of self A/a;B/b • How many different genotypes? • How many different phenotypes? Statistical approach to predicting progeny is easier • Product rule: Probability of independent events both occurring together is the product of individual probabilities • Ex: What is the probability that I can roll a “6” on two dice? Statistical approach to predicting progeny is easier • Sum rule: Probability of either two mutually exclusive events occurring is the sum of their individual probabilities • Ex: What is the probability of rolling two 5’s or two 6’s? What is the chi-squared test? • Statistical analysis to compare predicted ratios to an actual observed ratio…to determine if a hypothesis is correct An example • You have a jar with 200 marbles, 100 of them are red and 100 of them white. You remove 100 marbles – What ratio would expect of red:white? – How can you interpret that you actually have 60 red and 40 white…. Use Chi-squared • χ2 = Σ (O − E)2/E – for all classes in which E is the expected number in a class, O is the observed number in a class, and Σ means sum of. Reference Chi squared chart Why are pure lines important? • What types of alleles are expressed if a monohybrid (A/a) is selfed? • What happens over more successive generations? What is meant by hybrid vigor? • When two lines are united in an F1 hybrid, hybrid shows greater size and vigor • First seen with corn….any other examples? Independent assortment of chromosomes Independent Assortment in diploid organisms Stages of Neurospora cross Meiosis in Neurospora • Meiosis followed by mitosis results in 8 ascospores Meiotic Recombinants? • Why is this important? Polygenic Inheritance • Can you think of any examples of characteristics that exhibit a lot of variation? Polygenic Inheritance • Progeny of dihybrid self can be expressed as additive allelic “doses” Organelle Genes How are organelles inherited? • Remember the composition of the egg and sperm? What is cytoplasmic segregation? Pedigree of mtDNA disease Reminders for Next Week 1. Agriculture Paper - Start Reading! (Pre-class assignment on Review Paper due Thursday at 2) 2. Read Chapter 3: Focus on key points we’ve identified today to help you prepare for the Quiz 3. Quiz 3- Posted by Monday at noon, due by Wednesday at noon. 4. Don’t forget to use our fabulous Discussion Room!