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problem+set+_1+2011 - Quantitative Cell Biology Problem...

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Quantitative Cell Biology Problem Set #1 1) Suppose you are studying a protein that is embedded in the plasma membrane of a cell. After labeling the molecule with a fluorescent tag it become clear that it is moving. To analyze this you plot the average displacement squared versus time. How would you interpret the following results? In general terms, can you provide a physical explanation? 2) Studying a strain of bacteria, you find the average weigh is 7 x 10 -13 g/cell. If 60% of the weight is from water, and the bacteria is spherical, one micron radius, what is the average density of the non-water constituents? 3) Suppose you are studying a strain of bacteria that principally lives off of the sugar “fauxnose”. You measure the water-olive oil partition coefficient of fauxnose to be 10 -6 , and the diffusion coefficient is 5 x 10 -6 cm 2 /s. What would you estimate for the permeability coefficient for fauxnose crossing the bacterial membrane?
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