Waxy endosperm (wx), shrunken endosperm (sh), and yellow seedling (v) are encoded by three recessive genes in corn that are linked on chromosome 5. A corn plant homozygous for all three recessive alleles is crossed with a plant homozygous for all the dominant alleles. The resulting F1 are then crossed with a plant homozygous for the recessive alleles in a three- point testcross. The progeny of the testcross are:

wx sh V 87
Wx Sh v 94
Wx Sh V 3,479
wx sh v 3,478
Wx sh V 1,515
wx Sh v 1,531
wx Sh V 292
Wx sh v 280
Total 10,756
a. Determine the order of these genes on the chromosome.

b. Calculate the map distance between the genes.

c. Determine the coefficient of coincidece and the interference among these genes.

Please show all work

Respuesta :

Answer:

Explanation:

a). Order of genes = wx-v-sh

b).

Distance between gene wx and v = 7 m.u.

Distance between gene v and sh= 30 m.u.

Distance between gene wx and sh= 33.64 m.u.

c).

Coefficient of Coincidence=0.81

Interference=0.19

Exaplanatiion:

Hint: Always recombinant genotypes are smaller than the non-recombinant genotypes.

Hence, the parental (non-recombinant) genotype is Wx Sh V / wx sh v.

1).

If single crossover occurs between Wx & Sh..

Normal combination: Wx Sh / wx sh

After crossover: Wx sh / wx Sh

Wx sh progeny= 1515+280 = 1795

wx Sh progeny = 1531+292 = 1823

Total this progeny = 3618

The recombination frequency between Wx & Sh = (number of recombinants/Total progeny) 100

RF = (3618/10756)100 = 33.64%

2).

If single crossover occurs between Sh & V..

Normal combination: Sh V / sh v

After crossover: Sh v / sh V

Sh v progeny= 94+1531 = 1625

sh V progeny = 87+1515 = 1602

Total this progeny = 3227

The recombination frequency between Sh & V = (number of recombinants/Total progeny) 100

RF = (3227/10756)100 = 30%

3).

If single crossover occurs between Wx & V..

Normal combination: Wx V / wx v

After crossover: Wx v / wx V

Wx v progeny= 94+280= 374

wx V progeny = 87+292 = 379

Total this progeny = 753

The recombination frequency between Wx & V = (number of recombinants/Total progeny) 100

RF = (753 / 10756)100 = 7%

Recombination frequency (%) = Distance between the genes (mu)

Wx-------7mu------V-----------30mu--------------Sh

Locus1(Wx)------Locus 2(V)-------Locus 3 (Sh)

Expected double crossover frequency = (RF between Wx & V) * (RF between V & Sh)

= 7% * 30% = 0.021

The observed double crossover frequency = 87+94 / 10756= 0.017

Coefficient of Coincidence (COC) = Observed double crossover frequency / Expected double crossover frequency

= 0.017 / 0.021

= 0.81

Interference = 1-COC

= 1-0.81 = 0.19

Genetic distances and genes order are necessary to get CC and IC. a) The genes order is  Wx---V----Sh. b) Distances between genes are Wx-V = 0.07 MU. V-Sh = 0.3 MU. Wx-Sh = 0.37 MU. c) CC= 0.8 / IC = 0.2.

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Available data:

→  Three linked genes ⇒ Wx, Sh, and V

→  A three-point testcross is performed  ⇒ WxwxShshVv    x    wxwxshshvv

To solve this excersice, we need to know that

  • 1% of recombination frequency = 1 map unit = 1 cM.

  • The maximum recombination frequency is always 50%.  

  • The map unit is the distance between the pair of genes for which one of every 100 meiotic products results in a recombinant one.  

  • The recombination frequencies between two genes determine their distance in the chromosome, measured in map units.

By knowing the recombination frequencies, we can calculate distances between the three genes in the problem and figure the genes order out.

We have the number of descendants of each phenotype product of the tri-hybrid cross.

  • wx sh V           87
  • Wx Sh v          94
  • Wx Sh V         3,479
  • wx sh v           3,478
  • Wx sh V         1,515
  • wx Sh v          1,531
  • wx Sh V          292
  • Wx sh v          280

The total number of individuals is N = 10,756

a)

First, we need to know their order in the chromosome, and to do so, we need to compare the genotypes of the parental gametes with the ones of the double recombinants.

We can recognize the parental gametes in the descendants because their phenotypes are the most frequent, while the double recombinants are the less frequent. So:

Parental)

  • Wx Sh V 3,479
  • wx sh v 3,478

Simple recombinant)

  • Wx sh V 1,515
  • wx Sh v 1,531
  • wx Sh V 292
  • Wx sh v 280

Double recombinant)

  • wx sh V 87
  • Wx Sh v 94

Now, let us compare the parental gametes with the recombinant gametes

Parentals)                           WxShV            wxshv

Double Recombinant)       WxShv            wxshV            

They only change in the position of the alleles V/v.

This suggests that the position of the gene V is in the middle of the other two genes, Wx and Sh, because in a double recombinant only the central gene changes position in the chromatid.  

So, the order of the genes is:

----Wx---- V -----Sh ----

Now we will call

  • Region I to the area between Wx and V
  • Region II to the area between V and Sh.

b)

Once established the order of the genes we can calculate genetic distances between them, and we will do it from the central gene to the genes on each side.

First We will calculate the recombination frequencies, and we will do it by region.

We will call P1 to the recombination frequency between Wx and V genes, and P2 to the recombination frequency between V and Sh.

  • P1 = (R + DR) / N
  • P2 = (R + DR)/ N

Where:

  • R is the number of simple recombinants in each region,
  • DR is the number of double recombinants in each region, and
  • N is the total number of individuals.  

So:

P1 = (R + DR) / N

P1 = (292 + 280 + 87 + 94) / 10,756

P1 = 756/10,756

P1 = 0.07

P2 = (R + DR)/ N

P2 = (1515 + 1531 + 87 + 94) / 10,756

P2 = 3227 / 10756

P2 = 0.3

Now, to calculate the recombination frequency between the two extreme genes, Wx and Sh, we can just perform addition or a sum:

P1 + P2= Pt

0.07 + 0.3 = Pt

0.37 = Pt

The genetic distance will result from multiplying that frequency by 100 and expressing it in map units (MU). One centiMorgan (cM) equals one map unit (MU).

Now we must multiply each recombination frequency by 100 to get the genetic distance in map units:

  • GD1 = P1 x 100 = 0.07 x 100 = 7 MU
  • GD2 = P2 x 100 = 0.3 x 100 = 30 MU
  • GD3 = Pt x 100 = 0.37 x 100 = 37 MU

c)

To calculate the coefficient of coincidence, CC, we must use the next formula:

CC= observed double recombinant frequency/expected double recombinant frequency

Note:  

  • observed double recombinant frequency = total number of observed double recombinant individuals/total number of individuals
  • expected double recombinant frequency: recombination frequency in region I x recombination frequency in region II.

CC = ((87 + 94)/10,756)/0.07x0.3

CC = (181/10756)/0.021

CC = 0.8

The coefficient of interference, I, is complementary with CC.

I = 1 - CC

I = 1 - 0.8

I = 0.2

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