HW_3_2011_v2

How many molecules of the fluorescent molecule are

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cent molecule of interest which is uniformly distributed throughout the cell. How many molecules of the fluorescent molecule are there - write an equa- tion that gives this number? Before doing any calculations, explain what the final concentration c will be after infinite time, when the system has returned to equilibrium. You may assume that once a molecule has been photobleached it is effectively dead and can be forgotten. Your goal now is to compute the recovery curve. What this means is that you need to work out how many fluorescent molecules are in the photobleached region as a function of time. Make graphs for the case where the photobleached region is centered about the origin. Make sure when you make your plots you use reasonable values for the diffusion constant - justify your choice. One of the uses of the FRAP technique is to determine the diffusion constant of various molecules within the cytoplasm of cells. Discuss how that might work on the basis of the derivation you have given here. To do this problem you will need 1
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the table of zeros of the first derivative of J 0 ( x ) given in the file attached to the homework. Make sure you explain exactly what you are doing and what your results mean. Also, I want you to plot the result for different number of terms kept in the Bessel series. Use just enough terms in the Bessel series
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