4. Three genes in the lab bug, an insect specially bred for genetics problems, a
ID: 195846 • Letter: 4
Question
4. Three genes in the lab bug, an insect specially bred for genetics problems, are linked as indicated in the following gene map:
-----------------A/a------10 cM-----B/b------------------25 cM-------------------C/c------ Assume a Coincidence Coefficient of 0.80. Parental AAbbCC and aaBBcc lab bugs are mated to yield an AaBbCc F1 generation. The F1 individuals are then test-crossed with aabbcc lab bugs.
Out of 1,000 test-cross offspring (the lab bug is very prolific),
(a) predict the number of test-cross offspring exhibiting noncrossover, single crossover, and double crossover genotypes / phenotypes, and
(b) give the specific allelic arrangement in those offspring. (HINT: Look at the parental generation to see which alleles are linked together.)
Explanation / Answer
A -Given that Coefficient of coincidence is 0.80 so
The observed frequency of double recombinant = 0.80 *expected frequency of double recombinant
Map distance between a and b is 10cM
Map distance between b and c is 25cM
expected frequency of double recombinant is given by
Map distance between color and body type /100 * map distance body type and disposition/100
10/100 * 25/100 = 0.025
Observed frequency of double recombinant we need to find out
Coefficient of coincidence = the observed frequency of double recombinant/ expected frequency of double recombinant
0.8 = X /0.025
X = 0.025*0.80 =0.02
The observed frequency of double recombinant = sum of the frequency of both the double recombination
Number of progeny = 1000
so we will take the double recombinant frequency as half of the total double recombinants that we got.
Number of progeny of A, C and C = 0.02*1000/2 =10
Number of progeny of a, b and c = 0.02*1000/2 =10
So the double crossover progenies are ABC and abc
The distance between a+ and b+ is 10 cM.
A total number of recombinant/total number of progeny = frequency of recombinant.
The frequency of recombination between A and B will be a sum of frequencies of A, B and c, a, b, and C, a, b c and A B and C
Linkage distance = total number of recombinant * 100 / total number of progeny
10 = total number of recombinant * 100 /1000
10000/100 = total number of recombinants
a, b c and A B and C = 10+ 10 = 20
So the number of recombinants of A, B and c, a, b, and C, will be 100-20= 80
So the number of progeny having A, B and c, phenotype will be 54/2 = 40
and a, b, and C phenotype will be 40
The distance between b+ and c+ is 25 cM.
The frequency of recombination between a+ and b+ will be a sum of frequencies of A,b and c, a, b, and C, a, b c and A B and C
Linkage distance = total number of recombinant * 100 / total number of progeny
25= total number of recombinant * 100 *1000
25000/100 = total number of recombinants
a, b c and A B and C = 10+ 10 = 20
A,b and c, a, b, and C = 250-20 = 230
the number of progeny having Abc phenotype will be 230/2 = 115
and a, b, and C genotype will be 115
Given that total number of progeny = 1000
number of progeny having a+b+c+ and a, b, c phenotype will be
1000-(115 +115+40+40+10+10)
1000-154 =
670
number of progney having AbC phenotype = 670/2 = 335
number of progney having aBc phenotype = 670/2 = 335
B- Allelic arrangement -
AbC 335
aBc 335
ABC 10
abc 10
ABc 40
abC 40
aBC 115
Abc 115
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