Problem 12
Question
Phenylketonuria is caused by a recessive genetic mutation, whereas acute intermittent porphyria is caused by a dominant genetic mutation. a. What is the biochemical difference in terms of protein function that distinguishes most recessive mutations from dominant mutations? b. What is the probability that a father with phenylketonuria and a homozygous normal mother will have a child that is a phenylketonuria carrier? c. What is the probability that a heterozygous mother with acute intermittent porphyria will have a child with the disease if the father is disease free?
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Verified Answer
Additionally, what is the probability of a child being a carrier of Phenylketonuria if their father has the condition and their mother is homozygous normal? And lastly, what is the probability of a child having acute intermittent porphyria if their mother is heterozygous and their father is disease-free?
Answer: The biochemical difference between recessive and dominant mutations is that recessive mutations often result in non-functional or loss of function proteins, while dominant mutations typically result in functional proteins with altered activity or gain of function. The probability of a child being a carrier of Phenylketonuria if their father has the condition and mother is homozygous normal is 100%. The probability of a child having acute intermittent porphyria if their mother is heterozygous and their father is disease-free is 50%.
1Step 1: Question A: Biochemical Difference in Terms of Protein Function
The main difference that distinguishes recessive mutations from dominant mutations in terms of protein function is that recessive mutations often result in non-functional or loss of function proteins, while dominant mutations typically result in functional proteins with altered activity or gain of function. In a recessive mutation, the affected gene must be inherited from both parents in order for the condition to be manifest, whereas in a dominant mutation, inheriting the condition requires only one affected gene from one parent.
2Step 2: Question B: Phenylketonuria Carrier Probability
To find the probability of a child being a Phenylketonuria (PKU) carrier i.e., heterozygous for the recessive mutation (Pp), we will use the Punnett square method:
Father with phenylketonuria: pp
Homozygous normal mother: PP
The Punnett Square:
P | P
------|------
p | Pp | Pp
------|------
p | Pp | Pp
Based on the square above, the probability for the child to be a carrier (Pp) is 100%. Therefore, there is a 100% chance that the child will be a carrier of Phenylketonuria if the father has the condition and the mother is homozygous normal (PP).
3Step 3: Question C: Acute Intermittent Porphyria Probability
Given that acute intermittent porphyria is a dominant mutation, a heterozygous mother has one affected allele (D for disease) and one allele that is disease-free (d). The father is disease-free (dd). We will again use the Punnett square method to determine the probability of their child having the disease.
Heterozygous mother: Dd
Disease-free father: dd
The Punnett Square:
D | d
------|------
d | Dd | dd
------|------
d | Dd | dd
Looking at the square, there is a 50% chance that the child inherits the disease (Dd) from the heterozygous mother and the disease-free father.
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