You are measuring the titer (i.e. plaque-forming units (PFUs) of
the Nutty Fan Virus within the bloodstream of Michigan fans, and
you measure the following numbers from blood drawn from one
Wolverine (Michigan) fan. In each case below, you have plated 0.01
mL of the blood or diluted blood on a plate containing a confluent
monolayer of tissue culture cells that are susceptible to the
virus. You allowed the plates to incubate overnight, and upon
arriving at the lab early the next morning you count the plaques on
each plate. Your results are the following:
- the plate with the undiluted blood sample resulted in too many
plaques to count
- the plate with the 10-fold dilution of the blood sample resulted
in an estimated 300 plaques
- the plate with the 100-fold dilution of the blood sample resulted
in approximately 32 plaques
- the plate with the 1000-fold dilution of the blood sample
resulted in exactly 2 plaques counted
- the plate with the 10,000-fold dilution of the blood sample
resulted in no detectable plaques
Based on these data alone, the approximate titer
of the Nutty Fan Virus within the bloodstream of the single
Wolverine (Michigan) fan you tested is:
______________________________________
plaques/mL.
Viable plate count = 30 to 300 plaques
So, we will consider only 10 fold and 100 fold dilutions.
PFU per mL = #plaque / (volume plated × dilution)
Volume plated = 0.01 mL
For 10 fold dilution,
Dilution = 1/10 = 10^-1
PFU per mL = 300 / (10^-1 × 0.01) = 300000 = 3 × 10^5 PFU per mL
For 100 fold dilution,
Dilution = 1/100 = 10^-2
PFU per mL = 32 / (10^-2 × 0.01) = 32 × 10^4 = 3.2 × 10^5 PFU per mL
Average count = (3 × 10^5) + (3.2 × 10^5) / 2 = 3.1 × 10^5 PFU per mL
Answer is 3.1 × 10^5 plaques per mL
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