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Problem Set 4

Three-point testcross in linkage analysis
Calculate probability
Gene mapping in bacterial crosses
Genetic map by phage transduction
Identify the longest open reading frame

Three-point testcross in linkage analysis

Q1. In Arabidopsis the following mutant alleles have been identified on chromosome 5: c (colorless flowers), I (lumpy leaf) and y (yellow plant). A test-cross between triple recessives and a plant heterozygous for the three genes yielded the following progeny:

Phenotype
Number of Progeny
c + l 114
+ y + 121
+ + l 77
c y + 73
+ + + 18
c y l 22
+ y l 285
c + + 300
total 1000

a) What were the genotypes of the parents?

A: Since the test-cross is between triple recessives and a plant heterozygous, the genotypes of the parents are:

c/+ y/+ l/+
c/c y/y l/l

b) What are the genotype and phenotype of progeny individuals c + l?

A: The genotype is: c/c y/+ l/l
The phenotype is: colorless flower, wild type, lumpy leaf

c) Draw a map showing the gene order on the chromosome and the map distances between the genes.
A:
Loci
Recombinants of Genotype
RF
c y + +  
  c y (77+73+18+22)/1000*100%=19%
     
y l y +  
  + l (121+114+77+73)/1000*100%=38.5%
     
c l + +  
  c l (114+121+18+22)/1000*100%=27.5%

The recombinant frequency for genes y and l is the highest. As a result, y and l must be farthest apart. Gene c is between y and l and is closer to y because the recombinant frequency is lower for c and y than c and l.

As the data shown, y and l are farthest apart and have double crossing. To obtain 46.5 map units for genes y and l, double crossing need to be considered and calculated as follows:

(121+114+77+73+18+18+22+22)/1000*100%=46.5%

Calculate probability

Q2. Consider human families with four children.

a) What is the probability of the birth order: Girl-boy-girl-boy?

A: Each birth is an independent event and the probability of getting a girl or a boy is ½. Since there is only one way to get girl-boy-girl-boy, the probability is:
P(g-b-g-b) = ½ * ½ * ½ * ½ = 1/16

b) What is the probability that two will be boys and two girls?
A: If there is no condition for any birth order, following are the possibilities for getting two boys and two girls:

B B G G
B G B G
B G G B
G G B B
G B G B
G B B G

As a result, there are six possible birth combinations. Each birth combination probability is: P = ( ½ )4 = 1/16

The total probability is the sum of each birth combination probability:
Ptotal = 1/16 + 1/16 + 1/16 + 1/16 + 1/16 + 1/16 = 6/16 = 3/8

c) In what proportion of such families will there be at least two boys?

A: For such families to have at least two boys, following are the possibilities:

B B G G
B G B G
B G G B
G G B B
G B G B
G B B G
B B B G
B G B B
B B G B
G B B B
B B B B

As a result, there are eleven possible birth combinations to have at least two boys. Each birth combination probability is:
P = ( ½ )4 = 1/16

The total probability is the sum of each birth combination probability:
Ptotal = 1/16 + 1/16 + 1/16 + 1/16 + 1/16 + 1/16 + 1/16 + 1/16 + 1/16 + 1/16 + 1/16
= 11/16

Gene mapping in bacterial crosses

Q3. A cross is made between the Hfr ala+leu+pur+ and F- ala-leu-pur-. Interrupted mating studies showed that ALA entered the bacterium last. Recombinants were selected for ALA+ on medium containing leu and pur and tested for growth in the absence of leu or pur. The following numbers of recombinant classes were found:

Phenotype
Number of Progeny
ALA+ leu- pur- 105
ALA+ leu+ pur- 0
ALA+ leu+ pur+ 329
ALA+ leu- pur+ 7
total 441

a) Why were recombinants selected for ALA+? Explain briefly.

A: The selection of ALA ensures cells that receive fragments containing the last marker ALA would also receive earlier markers leu and pur.

b) Draw a map showing the gene order and distances in recombination units.
A: Since ALA entered the bacterium last, there are two possibilities for gene order:

Possible gene order 1: ALA leu pur

Possible gene order 2: ALA pur leu

Now let's summarize the data and compare ALA+ leu- pur+ with ALA+ leu+ pur- :

Possible Gene Order # of crossover for ALA+ leu- pur+ # of crossover for ALA+ leu+ pur-
ALA leu pur 4 2
ALA pur leu 2 4

Looking at the recombinants data, there are 7 recombinants for ALA+ leu- pur+ and 0 recombinants for ALA+ leu+ pur-. This suggests that possible gene order 2 is most likely the correct order. As a result, the gene order is: ALA pur leu

The map distance is calculated as follows:
ALA pur 105/441 x 100% = 23.8 m.u.
pur leu 7/441 x 100% = 1.6 m.u.

Therefore, the map showing the gene order and distance is drew as follow:

c) Why are ALA+ leu- pur+ recombinants rare? Explain briefly.
A: Because the two cross over are not for the adjacent genes

d) Why are there no ALA+ leu+ pur- recombinants? Explain briefly.

A: Because there are 4 cross over for the predicted gene order as indicated in part b).

Genetic map by phage transduction

Q4. A Q2 phage is used to transduce DNA with the markers met+leu+pyr+ into a met-leu-pyr- recipient. Met+ transductants are selected in this experiment and the following classes or phage recovered:

Genotype # of phage recovered
met+ leu- pyr- 642
met+ leu- pyr+ 2
met+ leu+ pyr+ 114
met+ leu+ pyr- 312
total 1070

a) What is the co-transductance met/leu and met/pyr?
A:
  Co-transductance
met leu (114 + 312) / 1070 = 39.8%
met pyr (2 + 114) / 1070 = 10.8%

b) Draw a map showing the gene order and co-transductance distances.
A: Since met leu has the higher co-transductance than met pyr, met leu must closer together than met pyr. Following are the two possibilities for gene order:
Possible gene order 1:

Possible gene order 2:

Comparing the transductants, there are 312 co-transductance for the double cross of the non-adjacent genes in gene order 1. However, there are only 2 co-transductance for the double cross of the non-adjacent genes in gene order 2. As a result, it suggests that the gene order 1 is correct: met leu pyr

The map showing the gene order and co-transductance distances is:

c) A valid number for pyr leu co-transductance cannot be calculated in this experiment because of the experimental design. Why not? Explain briefly.
A:

The other pyr leu co-transductance requires double cross as shown in above. Since met+ transductants are selected in the experiment, this double cross is rare due the fact that the genes are far apart. As a result, the other valid number for pyr leu co-transductance can't be obtained for calculation.

d) What are the relative sizes of a piece of DNA containing these three genes and the piece of DNA included in the Q2 phage? Explain briefly.
A: Looking at the transductance data, met+ leu- pyr- has the highest number of 642. As a result, these three genes can't be cotransduced together. Since the three genes can't be co-transduced, they must be far apart and the relative size of a piece of DNA containing these three genes is large compare to the piece of DNA included in the Q2 phage.

e) Why were there only two met+leu-pyr+ transductants? Explain briefly.
A: As explained in part d), the three genes are far apart. To get met+ leu- pyr+, it requires 4 crosses. As a result, the chances for co-transduce for all three genes are small and only 2 transductants are recovered.

Identify the longest open reading frame

Q5. Identify the longest open reading frame (ORF) in the sequence of based below and list the amino acid sequence coded by this sequence.

CGAGATGCCTAAATGAGTTGGCCAGCAGAGCGAGCATGGATGTAATCAG Strand1

A: The open reading frame (ORF) of a sequence starts with AUG/ ATG and ends with a stop codon (UAA/TAA, UAG/TAG, UGA/TGA ). There are six possible open reading frames as listed below (3 from each direction):

CGAGATGCCTAAATGAGTTGGCCAGCAGAGCGAGCATGGATGTAATCAG Strand1

GCTCTACGGATTTACTCAACCGGTCGTCTCGCTCGTACCTACATTAGTC Complement

Looking at the six possible open reading frames, the most likely longest frame is the 4th ORF. The amino acid sequence coded by this nucleotide sequence is:

M L A L L A N S F R H L

 

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