In: Biology
The father of Mr. Spock, second officer of the Starship Enterprise, came from the planet Vulcan; his mother came from the Earth. A Vulcan is homozygous for the genes for pointed ears (P), adrenals absent (A), and a right-sided heart (R). All three genes are dominant over their respective Earth alleles (p, a, and r). These three genes are autosomal and are linked as shown in this linkage map:
P(p)-----------15 map units-----------A(a)---------------20 map units-------------R(r)
If Mr. Spock marries a phenotypically normal Earth woman and there is no genetic interference, what proportion of their children will:
a. have Vulcan ears and Earth adrenals?
b. have Vulcan ears, and Earth adrenals and an Earth heart?
c. look like Vulcans (for all three characteristics)?
d. look like Earth people (for all three characteristics)?
Answer:
a. have Vulcan ears and Earth adrenals = Par/par + Par/par = 6% +8.5% = 14.5%
b. have Vulcan ears, and Earth adrenals and an Earth heart = Par/par = 6%
c. look like Vulcans (for all three characteristics) = 34%
d. look like Earth people (for all three characteristics) = 34%
Explanation:
Father of Mr. Spock (PAR/PAR) x mother of Mr. Spock (par/par)---Parents
PAR/par (volcan)--------------Mr. Spock
PAR/par (Mr. spock) x (normal Earth woman) par/par ---Parents
Expectec double crossover frequency = (Single crossover frequency (SCO) b/w p&a) x (Single crossover frequency (SCO) b/w a&r)
= 15% x 20% = 0.03
Class of gametes |
Genotype |
Frequency of reciprocal pair |
Numbers |
Frequency of each class |
Number of progeny frequency * 100 = % |
Parental |
PAR |
1- all recombinant progeny |
1-(0.12+0.17+0.03) = 0.68 |
0.34 |
34% PAR/par (Three characters like volcan) |
par |
0.34 |
34% par/par (Three characters like Earh) |
|||
SCO 1 |
Par |
RF in region 1 = SCO1 - DCO |
SCO1 = 0.15 – 0.03 = 0.12 |
0.06 |
6% Par/par (volcan ear, earth adrenals, earth heart) |
pAR |
0.06 |
6% pAR/par (earth ear, volacn adrenals, volcan heart) |
|||
SCO 2 |
PAr |
RF in region 2 = SCO2 - DCO |
SCO2 = 0.2 – 0.03 = 0.17 |
0.085 |
8.5% PAr/par (volcan ear, volcan adrenal & earth heart) |
paR |
0.085 |
8.5% paR/par (earth ear, earth adrenal & volcan heart) |
|||
DCO |
PaR |
(RF in region 1) * (RF in region 2) |
0.03 |
0.15 |
1.5% PaR/par (volcan ear, earth adrenal & volcan heart) |
pAr |
0.15 |
1.5% pAr/par (earth ear, volcan adrenal & earth heart) |