Human genetics Basic Mendelian genetics apply But not a model organism like Mendel’s peas Most traits are affected by more than one gene and cannot be analyzed using simple Mendelian genetics. Many single gene traits that can be followed cause rare diseases, rather than common phenotypes. Genetics is not straight forward: No pure breeding humans; Generation time is long; No controlled matings; Siblings rarely mate to generate F2. Small family sizes How can one study human genes, and map genes that cause human diseases? • Geneticists make use of the variation that already exists in the population. • Pedigree analysis. Rare traits can be studied by carefully analyzing families that are affected. In other words, the trait may be rare in the population but common in a particular family. Important assumption: When a trait is rare, and there is a random mating, you can always assume the person is not a carrier (heterozygotes). Pedigree Analysis male affected individual female mating offspring Fetus or unspecified progeny Filled, means affected, open means unaffected (normal). (brachydactyly, 1906). Dominant single gene inheritance. Heterozygotes (carriers) show phenotype. aa aa aa aa aa aa Aa aa Aa Aa aa aa Aa Aa Aa aa ? 1/2 1. Assign the genotypes to all individuals, left top to bottom right, with Aa, etc. 2. Probability that diamond is affected? Recessive (rare) Traits - affected individuals appear in progeny of unaffected parents - frequently show up in consanguineous matings (partners are blood related) - all progeny from two affected individuals are affected A- aa Aa A- Aa A- Aa Aa Aa Aa aa aa Fill in the genotypes, left to right, top to bottom, with Aa etc. What is the chance the child will be affected by this rare disease? A- aa Aa Assume AA =rare trait A- 1/2 Aa A- A- Aa 1/2 Aa A- Aa A-2/3 Aa aa A a A AA Aa a Aa aa 1/4 aa Dad carrier (1/2 x 1/2) Mom carrier x (2/3) Child aa x 1/4 = 1/24 Law of the product Tips for pedigree analysis • For an individual to be affected (homozygous), both parents need to be carriers (heterozygous). Therefore, to calculate the chance that an unknown individual will be affected, calculate the chances that the parents will be heterozygous, then multiply these by the chance that the offspring will get both the the mutant alleles. • For rare traits, make the simplifying assumption that unrelated, unaffected individuals are not carriers. Cystic fibrosis is a rare recessive disorder. Jack whose brother has the disease marries Jill whose aunt has the disease. a) If they have one child, what is the probability that the child will have cystic fibrosis? b) If their first child has cystic fibrosis, what is the probability that their second child will have cystic fibrosis? c) If their second child has cystic fibrosis, what is the probability that their third child will have cystic fibrosis? d) If their first child has cystic fibrosis, what is the probability that of their next three children, two will be carriers and the other affected? Cystic fibrosis is a rare recessive disorder. Jack whose brother has the disease marries Jill whose aunt has the disease. a) If they have one child, what is the probability that the child will have cystic fibrosis? Aa Aa Aa Jack aa AA Jill A- A2/3 Aa A- 1/2 Aa 2/3 Aa 1/4 aa 2/3 X 2/3 X 1/2 X 1/4 = 1/18 Aa aa b) If their first child has cystic fibrosis, what is the probability that their second child will have cystic fibrosis? Aa Aa Aa Jack aa A2/3 Aa AA A- Aa aa 2/3 Aa Jill A- 1/2 Aa Aa 1/4 aa c) If their second child has cystic fibrosis, what is the probability that their third child will have cystic fibrosis? 1/4 d) If their first child has cystic fibrosis, what is the probability that of their next three children, two will be carriers and the other affected? Jill Jack Aa Aa ? How many ways? het het het het het het 3! 1! 2! = Het Aa = 1/2 Ho aa = 1/4 Child 1 Child 2 Child 3 1/2 X 1/2 X 1/4 = 1/16 =3 1X2X3 1X1X2 = 1/16 + 1/16 + 1/16 = 3/16 =3 Genotype/Phenotype Chapter 3 So far we have looked at traits that are clearly dominant or recessive. X Purple White F1 Precursor Purple pigment Purple pigment forming enzyme Purple P = Dominant allele makes a normal enzyme p = Recessive allele makes a defective one But nature is usually more complicated that this, and Mendel was successful because he chose simple examples to start with (and he got lucky). Unifying theme of Chapter 3: examples of variations of Mendelian phenotypic ratios. (variations of 3:1 or 9:3:3:1). The underlying genetic ratios are unchanged. In a Punnett square, ratios of the gamete types are the same as before. In this way, Mendel’s laws are not broken at all. Extensions to Mendelian Analysis: relating genotype and phenotype. Variations with single genes • Incomplete dominance • Co-dominance • Multiple alleles • Lethal Alleles • Pleiotropic Effects Variations with multiple genes Two genes affecting the same trait Complementation Duplicate genes Epistasis Variations of genes with the environment Penetrance and Expressivity Effect of the environment on phenotype