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Mendelian Genetics The father of genetics Mendel’s unique credentials allowed him to discern the basic principles of genetics He worked with the common garden pea - Pisum sativum Mendel’s botanical background provided him with an understanding of flower anatomy and reproductive physiology Peas are normally self-fertilizing Mendel’s Experiment Initially he conducted a series of monohybrid crosses investigating the inheritance of a single trait The phenotype was the same as one of the parents What happened to the wrinkled seed trait? Mendel decided to analyze the F generation as well - pure genius! 2 Mendel’s conclusions The F1 plants must have inherited genetic factors from both parents Therefore, each plant must possess two genetic factors (alleles) for each characteristic The two alleles in each plant separate when gametes are formed This occurs with equal probability One allele is the dominant form; the other is the recessive form Genetic symbols Different genetic systems have adopted different symbols to identify alleles One, two, or three letter combinations Dominant allele is usually upper-case + is often used to designate wild-type Further generations confirmed Mendel’s original conclusions We can now relate Mendel’s concepts on genetic factors to chromosome segregation in meiosis Remember, the chromosome theory of heredity wasn’t developed until the early 1900s Probability in genetics The Punnett square can determine the probability of obtaining offspring of various phenotypes and genotypes We can use the multiplication rule when we are looking at the probability of obtaining two independent events We can use the addition rule when we are looking at the probability of obtaining any one of two or more mutually exclusive events Binomial expansion For more complex problems, we can use other tools Our best bet is to expand the binomial (a + b)n Testcrosses Testcrosses allow us to determine the genotype of individuals with ambiguous phenotypes Multi-loci crosses Mendel also conducted and analyzed such dihybrid crosses Principle of independent assortment Mendel obtained the same 9:3:3:1 ratio from several different dihybrid crosses He concluded that alleles at different loci assort themselves independently of each other The caveat is that the different genes must be located on different chromosomes For these dihybrid crosses, we can consider the two monohybrid crosses independently Observed vs. expected ratios Our predictions for genetic crosses yield probabilities, not certainties Often, the observed results are different from the expected results To determine if the observed results are reasonable with respect to the expected results, we can apply the goodness-to-fit chi-square test The chi-square test can tell us the probability that any difference between the observed value and the expected value is due to chance We start by determining the expected values based on the hypothesis that the expected results should match a particular ratio (e.g., 1:1, 3:1, 9:3:3:1, etc) This is called the null hypothesis (H0) The X2 value allows us to determine the probability value (p) p allows us to evaluate the likelihood that the observed differences are due to chance Pedigree A pedigree is a schematic diagram of a family history, often with phenotypic and genotypic data Autosomal recessive Consanguinity In the case of rare autosomal recessive traits, the trait is more likely to occur when two people within the same family mate They will have a greater chance of both possessing the rare recessive allele Autosomal dominant