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The Saylor Foundation’s “Answer Key to Problem Set 5” 1. What is the molecular basis of sickle cell disease? What is the mutation that occurs and how does this result in sickle-shaped red blood cells? Sickle cell is caused by a mutation of the HBB gene. The HBB gene is responsible for production of beta globin, a protein subunit of hemoglobin. Abnormal beta globin results in distorting of the red blood cell into the sickle shape. 2. If Eric's mother does not have the sickle cell trait, what is the probability that Eric has the trait? Eric’s father has the trait (HbS/HbA), and Eric’s mother does not have the trait (HbA/HbA). Therefore, Eric has a 50% chance of being a carrier for the mutated hemoglobin gene, and there is a 0% chance that Eric has sickle cell disease. The Punnett square below illustrates the possible outcomes of a fertilization even between one of the mother’s eggs and one of the father’s sperm. The Saylor Foundation 1 Rather than writing out the entire sequence above, you can simply use the Punnett square to predict the probable outcomes. 3. If Eric’s mother does have the sickle cell trait, what is the probability that Eric has the trait? Eric’s father has the trait (HbS/HbA) and if Eric’s mother has the trait (HbS/HbA), there is a 50% chance of being a carrier for the mutated hemoglobin gene. 4. Why are certain groups more likely to carry the sickle cell trait? In areas where malaria is prevalent, people with the sickle cell trait have a survival benefit. The slight sickling shape permits some resistance to malaria The Saylor Foundation 2 parasite. It is most common in people with recent ancestry to people with African or Mediterranean descent. 5. Sickle cell disease was once very likely to lead to mortality prior to reproductive age. If this is the case, how has sickle cell trait remained so common? Shouldn't natural selection have reduced its frequency in the human population? Being a carrier for the trait (HbS/HbA) usually does not affect ones normal behaviors or health and in some cases can actually be a benefit (see malaria example from question 5). Therefore, being a carrier for the trait increased fitness. Additionally, modern medicine and treatments help alleviate symptoms and reduce episodes, allowing people to live into and past reproductive age. 6. Should the NCAA require testing of student-athletes? Why or why not? Answers will vary. Though your answer is your opinion, it should be justified with evidence. 7. What are the three possible genotypes of their children? HbS/HbA HbS/HbS HbA/HbA 8. What are the possible phenotypes? HbS/HbA = Carrier of trait; slight sickling to some red blood cells HbS/HbS = Has sickle cell disease. Red blood cells are sickled. HbA/HbA = Normal hemoglobin production and normal red blood cells 9. Is sickle cell dominant, recessive, or co-dominant? Justify your answer. Sickle cell is co-dominant. If a person receives an allele for sickle cell (HbS) from one parent and allele for regular hemoglobin production (HbA) from the other parent, then they will express both traits. The Saylor Foundation 3 10. If Eric does have the sickle cell trait, what is the probability that their first child would have the sickle cell trait? If Eric has the trait (HbS/HbA) and Gina has the trait (HbS/HbA), there is a 50% chance that their first child will be a carrier for the mutated hemoglobin gene. See the Punnett square below, which shows the possible outcomes. 11. If Eric has the sickle cell trait, what is the probability that their second child would have the sickle cell trait? Each fertilization event is independent of any previous event. Therefore, if Eric has the trait (HbS/HbA) and Gina has the trait (HbS/HbA), there is a 50% chance their second child will be a carrier for the mutated hemoglobin gene. 12. If Eric does not have the sickle cell trait, what is the probability that their first child would have sickle cell trait? If Eric does not have the trait (HbA/HbA) and Gina has the trait (HbS/HbA), there is a 50% chance their first child will be a carrier for the mutated hemoglobin gene. See the Punnett square below for the possible outcomes. The Saylor Foundation 4 13. If Eric has the sickle cell trait, what is the probability that their first child would be unaffected by sickle cell? If Eric has the trait (HbS/HbA) and Gina has the trait (HbS/HbA), there is a 25% chance their first child will unaffected. See the Punnett square below for possible outcomes. 14. If Eric has the sickle cell trait, what is the probability that their first child would have sickle cell disease? If Eric has the trait (HbS/HbA) and Gina has the trait (HbS/HbA), there is 25% chance that child will have sickle cell disease. See the Punnett square below for possible outcomes. The Saylor Foundation 5 15. If Eric and Gina decide to have 2 children, and he has the sickle cell trait, what is the probability that both of their children would have sickle cell disease? If Eric has the trait (HbS/HbA) and Gina has the trait (HbS/HbA), there is a 6.25% chance that both of their children would have sickle cell disease. 0.252 = 0.0625 = 6.25% 16. If Eric and Gina decide to have 2 children, and he has the sickle cell trait, what is the probability that both of their children would have sickle cell trait? If Eric has the trait (HbS/HbA) and Gina has the trait (HbS/HbA), there is a 25% chance that both of their children would have sickle cell trait. 0.502 = 0.25 = 25% 17. If Eric and Gina decide to have 2 children, and he has the sickle cell trait, what is the probability that at least one of their children would have sickle cell disease? If Eric has the trait (HbS/HbA) and Gina has the trait (HbS/HbA), there is 43.75% chance that at least one child will have the disease. The possible phenotypes for each child are listed across the top and down the left side of the matrix below (this is not a Punnett square). The boxes within the matrix are the possible outcomes after having two children (e.g. both children The Saylor Foundation 6 with the disease, one with the disease and one carrier of the trait, etc.). Diseased (D) Carrier (C) Healthy (H) Diseased (D) Carrier (C) Healthy (H) DD (6.25%) DC (12.5%) DH (6.25%) CD (12.5%) CC (25%) CH (12.5%) HD (6.25%) HC (12.5%) HH (6.25%) 18. If you were Gina's and Eric's doctor, what would you tell them in order for them to make an informed decision regarding whether or not to have children? I would tell Eric and Gina about the probabilities of having a child with normal hemoglobin production, a child with the sickle cell trait, and a child with sickle cell anemia. I would then give Eric and Gina information about the health risks associated with sickle cell, the prognosis, the treatment options, and treatment outcomes. The Saylor Foundation 7