Table of contents
- 1. Introduction to Genetics51m
- 2. Mendel's Laws of Inheritance3h 37m
- 3. Extensions to Mendelian Inheritance2h 41m
- 4. Genetic Mapping and Linkage2h 28m
- 5. Genetics of Bacteria and Viruses1h 21m
- 6. Chromosomal Variation1h 48m
- 7. DNA and Chromosome Structure56m
- 8. DNA Replication1h 10m
- 9. Mitosis and Meiosis1h 34m
- 10. Transcription1h 0m
- 11. Translation58m
- 12. Gene Regulation in Prokaryotes1h 19m
- 13. Gene Regulation in Eukaryotes44m
- 14. Genetic Control of Development44m
- 15. Genomes and Genomics1h 50m
- 16. Transposable Elements47m
- 17. Mutation, Repair, and Recombination1h 6m
- 18. Molecular Genetic Tools19m
- 19. Cancer Genetics29m
- 20. Quantitative Genetics1h 26m
- 21. Population Genetics50m
- 22. Evolutionary Genetics29m
5. Genetics of Bacteria and Viruses
Bacteriophage Genetics
Problem 25
Textbook Question
A plaque assay is performed beginning with 1 mL of a solution containing bacteriophages. This solution is serially diluted three times by combining 0.1 mL of each sequential dilution with 9.9 mL of liquid medium. Then 0.1 mL of the final dilution is plated in the plaque assay and yields 17 plaques. What is the initial density of bacteriophages in the original 1 mL?

1
Understand the problem: A plaque assay is used to determine the concentration of bacteriophages in the original solution. The solution is serially diluted three times, and the final dilution is plated to count the number of plaques formed. The goal is to calculate the initial density of bacteriophages in the original solution.
Calculate the dilution factor for each step: In each dilution, 0.1 mL of the solution is added to 9.9 mL of liquid medium. The dilution factor for each step is given by the formula: \( \text{Dilution Factor} = \frac{\text{Volume Transferred}}{\text{Total Volume}} \). Substituting the values, \( \text{Dilution Factor} = \frac{0.1}{0.1 + 9.9} = \frac{0.1}{10} = 0.01 \).
Determine the cumulative dilution factor after three serial dilutions: Since the dilution is performed three times, the cumulative dilution factor is the product of the individual dilution factors. This can be expressed as \( \text{Cumulative Dilution Factor} = (0.01)^3 \).
Calculate the concentration of bacteriophages in the final dilution: The number of plaques observed (17) corresponds to the number of bacteriophages in the 0.1 mL plated. To find the concentration in the final dilution, use the formula: \( \text{Concentration in Final Dilution} = \frac{\text{Number of Plaques}}{\text{Volume Plated}} \). Substituting the values, \( \text{Concentration in Final Dilution} = \frac{17}{0.1} \).
Determine the initial density of bacteriophages in the original solution: To find the initial density, multiply the concentration in the final dilution by the reciprocal of the cumulative dilution factor. This can be expressed as \( \text{Initial Density} = \text{Concentration in Final Dilution} \times \frac{1}{\text{Cumulative Dilution Factor}} \). Substituting the values from the previous steps will yield the initial density.

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Key Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
Bacteriophage Titer
Bacteriophage titer refers to the concentration of bacteriophages in a solution, typically expressed as plaque-forming units (PFU) per milliliter. It is determined by performing a plaque assay, where each plaque represents a single infectious bacteriophage that has lysed a bacterial cell. The titer can be calculated based on the number of plaques observed and the dilution factor used in the assay.
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Serial Dilution
Serial dilution is a stepwise dilution of a substance in solution, where each dilution is made by taking a known volume of the previous solution and adding it to a new solvent. This method is crucial for reducing the concentration of bacteriophages to a level where individual plaques can be counted accurately. Understanding the dilution factor is essential for calculating the original concentration of the bacteriophages.
Plaque Assay Methodology
A plaque assay is a laboratory technique used to quantify the number of viral particles in a sample. In this method, diluted samples are mixed with a bacterial culture and allowed to incubate, leading to the formation of clear zones (plaques) where bacteria have been lysed by the bacteriophages. The number of plaques is then used to calculate the concentration of the original viral sample, taking into account the dilution factors applied.
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Related Practice
Textbook Question
In studies of recombination between mutants 1 and 2 from Problem 21, the results shown in the following table were obtained.Strain Dilution Plaques PhenotypesE. coli B 10⁻⁷ 4 rE. coli K12 10⁻² 8 +Mutant 7 (Problem 21) failed to complement any of the other mutants (1–6). Define the nature of mutant 7.
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