Can you please answer number 8 advance genetics Galactosemia

Can you please answer number 8 advance genetics

Galactosemia is an autosomal-recessive condition associated with liver enlargement, cataracts, and mental retardation. Among the offspring of unrelated individuals, the frequency of galactosemia is 8.5 times 10^-6. What is the expected frequency among the offspring of first cousins (F= 1/16) and among the offspring of second cousins (F=l/64)? Hurler syndrome is an autosomal recessive disease in which mucopolysaccharides accumulate in body tissues, leading to moderate dwarfism, grotesque facial appearance, joint contractures, mental retardation, and early death (before sexual maturity). Suppose that the mutation rate of gene H (normal) to gene h (Hurler syndrome) is about 0.9 times 10^-5. No effective medical treatment is currently available for this condition. What is the expected equilibrium frequency of allele h? How many cases of Hurler Syndrome will occur each generation in a population of 10 million? Suppose a medical treatment is developed that allows children with Hurler syndrome to survive and reproduce so that the fitness of these individuals increases to 0.5. In this situation, what is the expected equilibrium frequency of allele h, and how many cases will occur each generation in a population of 10 million?

Solution

7).

The formula to calculate the frequency of rare recessive disorders in the offspring of 1st cousin marriage is, = q2(1-F) + qF

F = inbreeding factor in first cousins = 1/16

q2 = frequency of galactosemia = 8.5* 10^-6

The frequency of q is = 0.0029

Frequency among the offspring of the first cousins is = 0.0000085(15/16) + 0.0029*1/16 = 0.00000796 + 0.000181 = 0.00018921

The frequency among the offspring of the second cousins is,

F = inbreeding factor in second cousins = 1/64

= 0.0000085(63/64) + 0.0029*1/64 = 0.00000836 + 0.0000453 = 0.0000536