PROBLEMS

WORKING WITH THE FIGURES

Question 5.1

In Figure 5-2, in which of the four processes shown can a complete bacterial genome be transferred from one cell to another?

Question 5.2

In Figure 5-3, if the concentration of bacterial cells in the original suspension is 200/ml and 0.2 ml is plated onto each of 100 petri dishes, what is the expected average number of colonies per plate?

Question 5.3

In Figure 5-5,

  1. Why do A and B cells, by themselves, not form colonies on the plating medium?

  2. What genetic event do the purple colonies in the middle plate represent?

Question 5.4

In Figure 5-10c, what do the yellow dots represent?

Question 5.5

In Figure 5-11, which donor alleles become part of the recombinant genome produced?

Question 5.6

In Figure 5-12,

  1. Which Hfr gene enters the recipient last? (Which diagram shows it actually entering?)

  2. What is the maximum percentage of cases of transfer of this gene?

  3. Which genes have entered at 25 minutes? Could they all become part of a stable exconjugant genome?

Question 5.7

In Figure 5-14, which is the last gene to be transferred into the F-from each of the five Hfr strains?

Question 5.8

In Figure 5-15, how are each of the following genotypes produced?

  1. F+ a

  2. F a

  3. F a+

  4. F+ a+

Question 5.9

In Figure 5-17, how many crossovers are required to produce a completely prototrophic exconjugant?

Question 5.10

In Figure 5-18c, why is the crossover shown occurring in the orange segments of DNA?

Question 5.11

In Figure 5-19, how many different bacterial species are shown as having contributed DNA to the plasmid pk214?

Question 5.12

In Figure 5-25, can you point to any phage progeny that could transduce?

Question 5.13

In Figure 5-28, what are the physical features of the plaques of recombinant phages?

Question 5.14

In Figure 5-29, do you think that b+ could be transduced instead of a+? As well as a+?

Question 5.15

In Figure 5-30, which genes show the highest frequencies of cotransduction?

Question 5.16

In Figure 5-32, what do the half-red, half-blue segments represent?

Question 5.17

In Figure 5-33, which is the rarest λ genotype produced in the initial lysate?

Question 5.18

In Figure 5-38, precisely which gene is eventually identified from the genome sequence?

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BASIC PROBLEMS

Question 5.19

Describe the state of the F factor in an Hfr, F+, and F strain.

Question 5.20

How does a culture of F+ cells transfer markers from the host chromosome to a recipient?

Question 5.21

With respect to gene transfer and the integration of the transferred gene into the recipient genome, compare

  1. Hfr crosses by conjugation and generalized transduction.

  2. F′ derivatives such as F′ lac and specialized transduction.

Question 5.22

Why is generalized transduction able to transfer any gene, but specialized transduction is restricted to only a small set?

Question 5.23

A microbial geneticist isolates a new mutation in E. coli and wishes to map its chromosomal location. She uses interrupted-mating experiments with Hfr strains and generalized-transduction experiments with phage P1. Explain why each technique, by itself, is insufficient for accurate mapping.

Question 5.24

In E. coli, four Hfr strains donate the following markers, shown in the order donated:

Strain 1:

M

Z

X

W

C

Strain 2:

L

A

N

C

W

Strain 3:

A

L

B

R

U

Strain 4:

Z

M

U

R

B

All these Hfr strains are derived from the same F+ strain. What is the order of these markers on the circular chromosome of the original F+?

Question 5.25

You are given two strains of E. coli. The Hfr strain is arg+ ala+ glu+ pro+ leu+ Ts; the F strain is arg ala glu pro leu Tr. All the markers are nutritional except T, which determines sensitivity or resistance to phage T1. The order of entry is as given, with arg+ entering the recipient first and Ts last. You find that the F strain dies when exposed to penicillin (pens), but the Hfr strain does not (penr). How would you locate the locus for pen on the bacterial chromosome with respect to arg, ala, glu, pro, and leu? Formulate your answer in logical, well-explained steps, and draw explicit diagrams where possible.

Unpacking the Problem

Question 5.26

A cross is made between two E. coli strains: Hfr arg+ bio+ leu+ × F arg bio leu. Interrupted mating studies show that arg+ enters the recipient last, and so arg+ recombinants are selected on a medium containing bio and leu only. These recombinants are tested for the presence of bio+ and leu+. The following numbers of individuals are found for each genotype:

arg+ bio+ leu+

320

arg+ bio+ leu

    8

arg+ bio leu+

    0

arg+ bio leu

  48

  1. What is the gene order?

  2. What are the map distances in recombination percentages?

Question 5.27

Linkage maps in an Hfr bacterial strain are calculated in units of minutes (the number of minutes between genes indicates the length of time that it takes for the second gene to follow the first in conjugation). In making such maps, microbial geneticists assume that the bacterial chromosome is transferred from Hfr to F at a constant rate. Thus, two genes separated by 10 minutes near the origin end are assumed to be the same physical distance apart as two genes separated by 10 minutes near the F attachment end. Suggest a critical experiment to test the validity of this assumption.

Question 5.28

A particular Hfr strain normally transmits the pro+ marker as the last one in conjugation. In a cross of this strain with an F strain, some pro+ recombinants are recovered early in the mating process. When these pro+ cells are mixed with F cells, the majority of the F cells are converted into pro+ cells that also carry the F factor. Explain these results.

Question 5.29

F′ strains in E. coli are derived from Hfr strains. In some cases, these F′ strains show a high rate of integration back into the bacterial chromosome of a second strain. Furthermore, the site of integration is often the site occupied by the sex factor in the original Hfr strain (before production of the F′ strains). Explain these results.

Question 5.30

You have two E. coli strains, F strs ala and Hfr strs ala+, in which the F factor is inserted close to ala+. Devise a screening test to detect strains carrying F′ ala+.

Question 5.31

Five Hfr strains A through E are derived from a single F + strain of E. coli. The following chart shows the entry times of the first five markers into an F strain when each is used in an interrupted-conjugation experiment:

A

B

C

D

E

mal+

 (1)

ade+

(13)

pro+

  (3)

pro+

(10)

his+

  (7)

strs

(11)

his+

(28)

met+

(29)

gal+

(16)

gal+

(17)

ser+

(16)

gal+

(38)

xyl+

(32)

his+

(26)

pro+

(23)

ade+

(36)

pro+

(44)

mal+

(37)

ade+

(41)

met+

(49)

his+

(51)

met+

(70)

strs

(47)

ser+

(61)

xyl+

(52)

  1. Draw a map of the F+ strain, indicating the positions of all genes and their distances apart in minutes.

  2. Show the insertion point and orientation of the F plasmid in each Hfr strain.

  3. In the use of each of these Hfr strains, state which allele you would select to obtain the highest proportion of Hfr exconjugants.

Question 5.32

Streptococcus pneumoniae cells of genotype strs mtl are transformed by donor DNA of genotype strr mtl+ and (in a separate experiment) by a mixture of two DNAs with genotypes strr mtl and strs mtl+. The accompanying table shows the results.

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Percentage of cells transformed into

Transforming DNA

strr mtl

strs mtl+

strr mtl+

strr mtl+

4.3

0.40

0.17

strr mtl + strs mtl+

2.8

0.85

   0.0066

  1. What does the first row of the table tell you? Why?

  2. What does the second row of the table tell you? Why?

Question 5.33

Recall that, in Chapter 4, we considered the possibility that a crossover event may affect the likelihood of another crossover. In the bacteriophage T4, gene a is 1.0 m.u. from gene b, which is 0.2 m.u. from gene c. The gene order is a, b, c. In a recombination experiment, you recover five double crossovers between a and c from 100,000 progeny viruses. Is it correct to conclude that interference is negative? Explain your answer.

Question 5.34

E. coli cells were infected with two strains of T4 virus. One strain is minute (m), rapid lysis (r), and turbid (t); the other is wild type for all three markers. The lytic products of this infection were plated and classified. The resulting 10,342 plaques were distributed among eight genotypes as follows:

m r t

3469

m + +

521

+ + +

3727

+ r t

475

m r +

  854

+ r +

171

m + t

  163

+ + t

963

  1. What are the linkage distances between m and r, between r and t, and between m and t.

  2. Determine the linkage order for the three genes.

  3. What is the coefficient of coincidence (see Chapter 4) in this cross? What does it signify?

Question 5.35

With the use of P22 as a generalized transducing phage grown on a pur+ pro+ his+ bacterial donor, a recipient strain of genotype pur pro his was infected and incubated. Afterward, transductants for pur+, pro+, and his+ were selected individually in experiments I, II, and III, respectively.

  1. What medium is used in each of these selection experiments?

  2. The transductants were examined for the presence of unselected donor markers, with the following results:

    I

    II

    III

    pro his 86%

    pur his 44%

    pur pro 20%

    pro+ his    0%

    pur+ his    0%

    pur+ pro 14%

    pro his+ 10%

    pur his+ 54%

    pur pro+ 61%

    pro+ his+    4%

    pur+ his+    2%

    pur+ pro+    5%

    What is the order of the bacterial genes?

  3. Which two genes are closest together?

  4. Based on your answer to part c, explain the relative proportions of genotypes observed in experiment II.

Question 5.36

Although most λ-mediated gal+ transductants are inducible lysogens, a small percentage of these transductants in fact are not lysogens (that is, they contain no integrated λ). Control experiments show that these transductants are not produced by mutation. What is the likely origin of these types?

Question 5.37

An ade+ arg+ cys+ his+ leu+ pro+ bacterial strain is known to be lysogenic for a newly discovered phage, but the site of the prophage is not known. The bacterial map is

The lysogenic strain is used as a source of the phage, and the phages are added to a bacterial strain of genotype ade arg cys his leu pro. After a short incubation, samples of these bacteria are plated on six different media, with the supplementations indicated in the following table. The table also shows whether colonies were observed on the various media.

 

Nutrient supplementation in medium

 

Medium

Ade

Arg

Cys

His

Leu

Pro

Presence of colonies

1

+

+

+

+

+

N

2

+

+

+

+

+

N

3

+

+

+

+

+

C

4

+

+

+

+

+

N

5

+

+

+

+

+

C

6

+

+

+

+

+

N

(In this table, a plus sign indicates the presence of a nutrient supplement, a minus sign indicates that a supplement is not present, N indicates no colonies, and C indicates colonies present.)

  1. What genetic process is at work here?

  2. What is the approximate locus of the prophage?

Question 5.38

In a generalized-transduction system using P1 phage, the donor is pur+ nad+ pdx and the recipient is pur nadpdx+. The donor allele pur+ is initially selected after transduction, and 50 pur+ transductants are then scored for the other alleles present. Here are the results:

Genotype

Number of colonies

nad+ pdx+

  3

nad+ pdx

10

nad pdx+

24

nad pdx

13

 

50

210

  1. What is the cotransduction frequency for pur and nad?

  2. What is the cotransduction frequency for pur and pdx?

  3. Which of the unselected loci is closest to pur?

  4. Are nad and pdx on the same side or on opposite sides of pur? Explain.

    (Draw the exchanges needed to produce the various transformant classes under either order to see which requires the minimum number to produce the results obtained.)

Question 5.39

In a generalized-transduction experiment, phages are collected from an E. coli donor strain of genotype cys+ leu+ thr+ and used to transduce a recipient of genotype cys leu thr. Initially, the treated recipient population is plated on a minimal medium supplemented with leucine and threonine. Many colonies are obtained.

  1. What are the possible genotypes of these colonies?

  2. These colonies are then replica plated onto three different media: (1) minimal plus threonine only, (2) minimal plus leucine only, and (3) minimal. What genotypes could, in theory, grow on these three media?

  3. Of the original colonies, 56 percent are observed to grow on medium 1, 5 percent on medium 2, and no colonies on medium 3. What are the actual genotypes of the colonies on media 1, 2, and 3?

  4. Draw a map showing the order of the three genes and which of the two outer genes is closer to the middle gene.

Question 5.40

Deduce the genotypes of the following E. coli strains 1 through 4:

Question 5.41

In an interrupted-conjugation experiment in E. coli, the pro gene enters after the thi gene. A pro+ thi+ Hfr is crossed with a pro thi F strain, and exconjugants are plated on medium containing thiamine but no proline. A total of 360 colonies are observed, and they are isolated and cultured on fully supplemented medium. These cultures are then tested for their ability to grow on medium containing no proline or thiamine (minimal medium), and 320 of the cultures are found to be able to grow but the remainder cannot.

  1. Deduce the genotypes of the two types of cultures.

  2. Draw the crossover events required to produce these genotypes.

  3. Calculate the distance between the pro and thi genes in recombination units.

Unpacking Problem 41

  1. What type of organism is E. coli?

  2. What does a culture of E. coli look like?

  3. On what sort of substrates does E. coli generally grow in its natural habitat?

  4. What are the minimal requirements for E. coli cells to divide?

  5. Define the terms prototroph and auxotroph.

  6. Which cultures in this experiment are prototrophic, and which are auxotrophic?

  7. Given some strains of unknown genotype regarding thiamine and proline, how would you test their genotypes? Give precise experimental details, including equipment.

  8. What kinds of chemicals are proline and thiamine? Does it matter in this experiment?

  9. Draw a diagram showing the full set of manipulations performed in the experiment.

  10. Why do you think the experiment was done?

  11. How was it established that pro enters after thi? Give precise experimental steps.

  12. In what way does an interrupted-mating experiment differ from the experiment described in this problem?

  13. What is an exconjugant? How do you think that exconjugants were obtained? (It might include genes not described in this problem.)

  14. When the pro gene is said to enter after thi, does it mean the pro allele, the pro+ allele, either, or both?

  15. What is “fully supplemented medium” in the context of this question?

  16. Some exconjugants did not grow on minimal medium. On what medium would they grow?

  17. State the types of crossovers that take part in Hfr × F recombination. How do these crossovers differ from crossovers in eukaryotes?

  18. What is a recombination unit in the context of the present analysis? How does it differ from the map units used in eukaryote genetics?

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Question 5.42

A generalized transduction e xperiment uses a metE+ pyrD+ strain as donor and metE pyrD as recipient. metE+ transductants are selected and then tested for the pyrD+ allele. The following numbers were obtained:

metE+ pyrD

857

metE+ pyrD+

    1

Do these results suggest that these loci are closely linked? What other explanations are there for the lone “double”?

Question 5.43

An argC strain was infected with transducing phage, and the lysate was used to transduce metF recipients on medium containing arginine but no methionine. The metF+ transductants were then tested for arginine requirement: most were argC+ but a small percentage were found to be argC. Draw diagrams to show the likely origin of the argC+ and argC strains.

CHALLENGING PROBLEMS

Question 5.44

Four E. coli strains of genotype a+ b are labeled 1, 2, 3, and 4. Four strains of genotype a b+ are labeled 5, 6, 7, and 8. The two genotypes are mixed in all possible combinations and (after incubation) are plated to determine the frequency of a+ b+ recombinants. The following results are obtained, where M = many recombinants, L = low numbers of recombinants, and 0 = no recombinants:

On the basis of these results, assign a sex type (either Hfr, F+, or F) to each strain.

Question 5.45

An Hfr strain of genotype a+ b+ c+ d strs is mated with a female strain of genotype a b c d+ strr. At various times, mating pairs are separated by vigorously shaking the culture. The cells are then plated on three types of agar, as shown below, where nutrient A allows the growth of a cells; nutrient B, of b cells; nutrient C, of c cells; and nutrient D, of d cells. (A plus indicates the presence of streptomycin or a nutrient, and a minus indicates its absence.)

Agar type

Str

A

B

C

D

1

+

+

+

+

2

+

+

+

+

3

+

+

+

+

  1. What donor genes are being selected on each type of agar?

  2. The following table shows the number of colonies on each type of agar for samples taken at various times after the strains are mixed. Use this information to determine the order of genes a, b, and c.

    Time of sampling

    Number of colonies on agar of type

    (minutes)

    1

    2

    3

      0

        0

        0

        0

      5

        0

        0

        0

      7.5

    102

        0

        0

     10

    202

        0

        0

    12.5

    301

        0

      74

    15 

    400

        0

    151

     17.5

    404

      49

    225

    20 

    401

    101

    253

    25 

    398

    103

    252

  3. From each of the 25-minute plates, 100 colonies are picked and transferred to a petri dish containing agar with all the nutrients except D. The numbers of colonies that grow on this medium are 90 for the sample from agar type 1, 52 for the sample from agar type 2, and 9 for the sample from agar type 3. Using these data, fit gene d into the sequence of a, b, and c.

  4. At what sampling time would you expect colonies to first appear on agar containing C and streptomycin but no A or B?

Question 5.46

In the cross Hfr aro+ arg+ eryr strs × F aro arg erys strr, the markers are transferred in the order given (with aro+ entering first), but the first three genes are very close together. Exconjugants are plated on a medium containing Str (streptomycin, to kill Hfr cells), Ery (erythromycin), Arg (arginine), and Aro (aromatic amino acids). The following results are obtained for 300 colonies isolated from these plates and tested for growth on various media: on Ery only, 263 strains grow; on Ery + Arg, 264 strains grow; on Ery + Aro, 290 strains grow; on Ery + Arg + Aro, 300 strains grow.

  1. Draw up a list of genotypes, and indicate the number of individuals in each genotype.

  2. Calculate the recombination frequencies.

  3. Calculate the ratio of the size of the arg-to-aro region to the size of the ery-to-arg region.

Question 5.47

A bacterial transformation is performed with a donor strain that is resistant to four drugs, A, B, C, and D, and a recipient strain that is sensitive to all four drugs. The resulting recipient cell population is divided and plated on media containing various combinations of the drugs. The following table shows the results.

212

Drugs added

Number of colonies

Drugs added

Number of colonies

None

10,000

  BC

  50

A

  1155

  BD

  48

B

  1147

  CD

785

C

  1162

ABC

  31

D

  1140

ABD

  43

AB

      47

ACD

631

AC

    641

BCD

  35

AD

    941

ABCD

  29

  1. One of the genes is distant from the other three, which appear to be closely linked. Which is the distant gene?

  2. What is the likely order of the three closely linked genes?

Question 5.48

You have two strains of λ that can lysogenize E. coli; their linkage maps are as follows:

The segment shown at the bottom of the chromosome, designated 1–2–3, is the region responsible for pairing and crossing over with the E. coli chromosome. (Keep the markers on all your drawings.)

  1. Diagram the way in which λ strain X is inserted into the E. coli chromosome (so that the E. coli is lysogenized).

  2. The bacteria that are lysogenic for strain X can be superinfected by using strain Y. A certain percentage of these superinfected bacteria become “doubly” lysogenic (that is, lysogenic for both strains). Diagram how it will take place. (Don’t worry about how double lysogens are detected.)

  3. Diagram how the two λ prophages can pair

  4. Crossover products between the two prophages can be recovered. Diagram a crossover event and the consequences.

Question 5.49

You have three strains of E. coli. Strain A is F′ cys+ trp1/cys+ trp1 (that is, both the F′ and the chromosome carry cys+ and trp1, an allele for tryptophan requirement). Strain B is Fcys trp2 Z (this strain requires cysteine for growth and carries trp2, another allele causing a tryptophan requirement; strain B is lysogenic for the generalized transducing phage Z). Strain C is F cys+ trp1 (it is an F derivative of strain A that has lost the F′). How would you determine whether trp1 and trp2 are alleles of the same locus? (Describe the crosses and the results expected.)

Question 5.50

A generalized transducing phage is used to transduce an a b c d e recipient strain of E. coli with an a+ b+ c+ d+ e+ donor. The recipient culture is plated on various media with the results shown in the following table. (Note that a indicates a requirement for A as a nutrient, and so forth.) What can you conclude about the linkage and order of the genes?

Compounds added to minimal medium

Presence (+) or absence (–) of colonies

CDE

BDE

BCE

+

BCD

+

ADE

ACE

ACD

ABE

ABD

+

ABC

Question 5.51

In 1965, Jon Beckwith and Ethan Signer devised a method of obtaining specialized transducing phages carrying the lac region. They knew that the integration site, designated att80, for the temperate phage ϕ80 (a relative of phage λ) was located near tonB, a gene that confers resistance to the virulent phage T1:

They used an F′ lac+ plasmid that could not replicate at high temperatures in a strain carrying a deletion of the lac genes. By forcing the cell to remain lac+ at high temperatures, the researchers could select strains in which the plasmid had integrated into the chromosome, thereby allowing the F′ lac to be maintained at high temperatures. By combining this selection with a simultaneous selection for resistance to T1 phage infection, they found that the only survivors were cells in which the F′ lac had integrated into the tonB locus, as shown here:

This result placed the lac region near the integration site for phage ϕ80. Describe the subsequent steps that the researchers must have followed to isolate the specialized transducing particles of phage ϕ80 that carried the lac region.

213

Question 5.52

Wild-type E. coli takes up and concentrates a certain red food dye, making the colonies blood red. Transposon mutagenesis was used, and the cells were plated on food dye. Most colonies were red, but some colonies did not take up dye and appeared white. In one white colony, the DNA surrounding the transposon insert was sequenced, with the use of a DNA replication primer identical with part of the end of the transposon sequence, and the sequence adjacent to the transposon was found to correspond to a gene of unknown function called atoE, spanning positions 2.322 through 2.324 Mb on the map (numbered from an arbitrary position zero). Propose a function for atoE. What biological process could be investigated in this way, and what other types of white colonies might be expected?

214