Genetics 371B Practice problems--Autumn 2000 week 3

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Which two questions would you like to see worked out in quiz section? Email Raghu <raghu@u.washington.edu> with your choices by Monday evening.

Click here for the answers


1. The amount of recombination between the linked genes e and f is found to be 9%. Gene g is linked to e and f. Gene g undergoes recombination with gene e with a frequency of 5%, and with gene f with a frequency of 4%.
(a)

A cell of a heterozygote (e+ f / e f+) is about to undergo meiosis (the chromosomes all have two sister chromatids each). Pick any one homolog of the chromosomes carrying these two genes, then draw a picture of the homolog and mark the alleles of the two genes on the homolog.

Self-test: Click here after you're done with your diagram

(b) Draw a picture of the relevant homolog pair immediately before and immediately after a single crossover event between the two genes. Be sure to mark the genes on the chromosome.

(c) Explain in your own words what the first sentence of the question means ("The amount of recombination..."), outlining the cross and the progeny phenotypes/ratios that would lead to the conclusion that e and f are linked. (In this instance, since you aren't told what genes e and f do, you'll just have to call the phenotypes by the name of the allele ("Phenotype e" or "Phenotype f+", etc.)
(d) What is the order of these genes on the chromosome, and what are the map distances between them?

Questions 2-4 are based on the following information:

The progeny phenotypes resulting from five Drosophila crosses are tabulated below. In all cases, the '+' allele is wildtype.

Cross (i)

se+ se h+ h x se se h h

se = sepia eyes; h = hairy body

Cross (ii)

se+ se b+ b x se se b b

b = black body

Cross (iii)

b+ b rd+ rd x b b rd rd

rd = reduced bristle

Progeny:

400 se+ h+

412 se h

4 se+ h

5 se h+

Progeny:

210 se+ b+

222 se b

214 se+ b

208 se b+

Progeny:

12 b+ rd+

15 b rd

421 b+ rd

414 b rd+

Cross (iv)

corr+ corr b+ b x corr corr b b

corr = corrugated

Cross (v)

corr+ corr rd+ rd x corr corr rd rd

Progeny:

380 corr+ b+

360 corr b

44 corr+ b

51 corr b+

Progeny:

70 corr+ rd+

80 corr rd

419 corr+ rd

440 corr rd+

Q. 2a Hint:

If a gene is located on the X chromosome, how many copies of the gene will the female parent bring to a cross? How about the male parent?

2. (a) None of the genes listed in the crosses above is X-linked. How can you deduce that information from the data given above?

Move the mouse here for hints

 
(b) Where possible, show the arrangement of alleles in the heterozygous flies that are being crossed (i.e., indicate which alleles go together on which homolog in the heterozygote). Don't worry about the order of the genes on the chromosomes.

Q.3 Hints

  • What do you notice about the numbers of progeny in each cross?
  • Do the numbers give you a hint as to whether the genes are linked or not?
  • Do the numbers tell you anything about the parental vs. the non-parental progeny phenotypes?
  • How do the numbers of recombinant vs. nonrecombinant progeny relate to the proportions of recombinant vs. nonrecombinant gametes that gave rise to the progeny?
  • How do the numbers of recombinant vs. nonrecombinant progeny relate to map distance?

3. For this question, the answer is being provided along with the question. Your task is to explain, step by step, how to arrive at the answer using the information provided in the question (including the crosses shown above). Your goal should be to examine the thought process involved in addressing the question, so that you will be comfortable solving similar problems even if the wording or format is changed.
The question:

Draw a genetic map for the five genes. Your map should indicate linkage groups, as well as approximate map distances where appropriate.

Move the mouse here for hints

The answer:
se----1.1 cM ---h
|---------------|
 
 
rd-----3.1 cM-----b--------- -11.4 cM------------corr
|-----------------|-------------------------------|

Q.4a Hints

  • What were the genotypes of the parents with respect to genes h and rd?
  • What was the genotype of the F1 progeny?
  • Do you expect h and rd to show linkage, or to show independent assortment?

Q.4b Hints

  • What were the parental genotypes in this cross?
  • What were the genotypes of the gametes produced by each parent? Draw a representation of the chromosome in each gamete, marking the alleles of the genes concerned
  • What does that tell you about the arrangement of alleles in the resulting F1 progeny? (i.e., which alleles were together on each homolog?)
  • What does that tell you about the genotypes of the recombinant gametes produced by the F1 animals?
  • Knowing the map distance, what can you say about how abundant the recombinant types should be?
4. Again, the answer is being provided along with each question. As before, your task is to explain, step by step, how to arrive at the answer using the information provided.

(a)

The question:

Homozygous recessive h h flies were crossed to homozygous recessive rd rd flies (both strains were homozygous normal for all other genes). The resulting F1 flies were crossed to h h rd rd flies, and 1000 F2 progeny were collected. What F2 progeny phenotypes and numbers do you expect in the F2 progeny?

Move the mouse here for hints

 
The answer:

Phenotype: h+ rd+ h+ rd h rd+ h rd
Number: 250 250 250 250

(b)

The question:

The raisin eye (rai+) gene is located 9 map units away from the hairy body gene. The normal (rai+) allele is dominant. Homozygous recessive h h flies were crossed to homozygous recessive rai rai flies (both strains were homozygous normal for all other genes). The resulting F1 flies were crossed to homozygous h h rai rai flies, and 1000 F2 progeny were collected.What F2 progeny phenotypes and numbers do you expect in the F2 progeny?

Move the mouse here for hints

The answer:

Phenotype: h rai+ h+ rai h+ rai+ h rai
Number: 455 455 45 45

5. The dominant allele O is required for pigment deposition in the iris of the human eye, while its recessive allele o causes ocular albinism. The dominant allele D is required for color perception, while its recessive allele d is associated with color blindness. Both genes are located on the X chromosome.
(a) Assuming no crossing over, what would you predict should be the results of a cross between a woman with ocular albinism who is homozygous normal for color vision, and a man normal pigmentation of the iris but who is colorblind because of the recessive d allele?
(b) Assuming no crossing over (and assuming no aberrant events), list all possible results of a cross between a woman who is heterozygous for both traits and a man who is normal with respect to both traits.

Q.6 Hints

  • What were the genotypes of the gametes produced by each parent?
  • What were the genotypes of the non-recombinant gametes produced by the F1 animal?
  • What were the genotypes of the recombinant gametes produced by the F1 animals?
  • What were the proportions of each gamete genotype?
  • Can you re-state this information about gamete proportions in terms of probabilities?
  • Can you think of Punnett squares as a way of showing the probabilities that the gametes of the different genotypes will meet to form progeny?

6. In Great Northwestern mice, black nose (B) is dominant over pink nose (b), while rounded ears (R) are dominant over pointy ears (r). The two loci are linked at map distance of 20 cM. True-breeding mice that have pink noses and rounded ears are crossed to true-breeders that have black noses and pointy ears. The resulting F1 progeny are crossed to each other. Using Punnett squares, predict the proportions of progeny phenotypes resulting from this F1 x F1 cross.

Move the mouse here for hints

7. In maize, A, B, and D are three linked genes, with a, b, and d being recessive alleles of these three genes, respectively. A homozygous normal strain was crossed to a triple homozygous recessive strain. The resulting F1 progeny were crossed to the triple recessive again; the resulting progeny phenotypes were:
A b d 21
a B d 120
a b d 298
A B d 66
a b D 72
A B D 301
A b D 131
a B D 13
Total: 1022

 

Show the correct order of the genes A, B, and D. Construct a map showing the distances between the genes, and calculate the coefficient of coincidence.

8. SP1 is a membrane protein found in all human cells. To identify the chromosome that has the gene for SP1, you establish a set of mouse-human hybrid cell lines (A-E). Then, to identify the human chromosomes present in each cell line, you do hybridizations using chromosome-specific probes--probe 1 recognizes a portion of chromosome 1, probe 2 recognizes a portion of chromosome 2, etc. Your results are as follows:

Cell line Sp1 protein present? Probes showing hybridization
A Yes 1, 2, 4, 5, 6, 8, 16, X
B Yes 1, 4, 5, 8, 11, 17, 21
C Yes 3, 4, 5, 8, 15, 16, 21, X
D No 1, 2, 3, 5, 7, 9, 11, 12
E No 4, 6, 9, 21, X

On which human chromosome do you think the SP1 gene is located, and why?

9. A true-breeding hot pepper plant of genotype GGDD that produces yellow, round peppers is crossed to a true-breeding hot pepper plant of genotype ggdd that produces green, wrinkled peppers. The F1 progeny are of genotype GgDd and all bear yellow, round peppers. F1 plants were then test crossed to ggdd plants and the following progeny plants were produced:

Phenotype Number
green, wrinkled 114
yellow, round 112
yellow, wrinkled 88
green, round 86
total 400

(G/g = yellow/green, D/d = round/wrinkled)

(a) How many progeny are expected for each phenotype class, assuming independent assortment?
(b) Use the chi-squared test to decide if there is evidence of independent assortment versus linkage between the two genes. Give the Chi square value, the approximate P value (just give the range of P values from the chi-squared table, as we did in class), and the appropriate degrees of freedom (df). State whether your findings are consistent or inconsistent with the hypothesis of independent assortment.
(c) If you wanted to be more stringent** about whether to reject or accept your hypothesis of independent assortment based on the P value obtained, would you raise or lower the cut-off P value?

**i.e., you are less willing to be tolerant of deviation from the expected values

(d) When we are assessing the data for independent assortment vs linkage, why do we assume independent assortment and then test whether the data fit independent assortment, as done above? Why do we not assume linkage and then test whether the data fit the linkage model?

10. The fabled Great Northwestern Guava plants produce fruit that have thick or thin skins, tart or sweet fruit, and large or small seeds. Thick skins, tart flavor and large seeds are dominant. You have obtained, by some miraculous means, two of these mythical plants. One produces thick-skinned, tart fruit with large seeds, and the other produces thick-skinned, tart fruit with small seeds. On performing a cross between these two plants, you obtain the following progeny:

(i) 290 produce thick-skinned, tart fruit with large seeds
(ii) 106 produce thin-skinned, tart fruit with large seeds
(iii) 309 produce thick-skinned, tart fruit with small seeds
(iv) 95 produce thin-skinned, tart fruit with small seeds

(a) What are the most likely genotypes of the two plants you started out with? Explain your reasoning. [Assign your own symbols for the alleles.]
(b) Assuming independent assorment of the genes concerned, do the observed numbers of progeny deviate at all from the ratios expected for the genotypes you derived in (a)? If so, what is the probability that the deviation is just due to chance? (No need to interpolate, just give the range of probabilities from the Chi-square table.)
(c) Challenge question

Suppose you have a bin of tart fruit. You are told that it either contains only true-breeding tart fruit, or it contains a 50:50 mix of true-breeding and heterozygous tart fruit -- you don't know which. You test them by growing up a couple of plants from the bin and selfing them. Suppose the first plant that you self produces only tart fruit. That result could either mean that there were no heterozygotes in the bin, or that there were heterozygotes mixed with homozygotes, and you just happened to pick a homozygote to self. How many fruit would you have to self in order to be at least 95% certain that if there were heterozygotes in the bin, you would have found at least one?