HW_6_2011

# Are the number of proteins that end up in daughter

• Notes
• 3

This preview shows pages 2–3. Sign up to view the full content.

are the number of proteins that end up in daughter cells 1 and 2 respectively. Show that q < ( N 1 - N 2 ) 2 > = N (hint: you’ll need to use the binomial theorem.) Next, look at the Rosenfeld paper and explain how measuring fluores- 2

This preview has intentionally blurred sections. Sign up to view the full version.

cence variations can be used to calibrate the exact number of copies of the fluorescent protein in a cell. Assume that the fluorescence intensity in each cell can be written as I = αN , where α is some calibration factor and N the number of proteins. Make a plot of q < ( I 1 - I 2 ) 2 > versus I tot and explain how to get the calibration factor α from this plot. (d) Now we are going to repeat the Rosenfeld experiment numerically in order to fit the calibration factor. Consider a fluorescent protein such that the calibration factor between the intensity and the number of fluorophores is 50. Generate intensity data by choosing N 1 + N 2 = 10 , 50 , 100 , 1000 and 5000 and for each case, “partition” the proteins from the mother cell to the two daughters 100 times (i.e. as if you are looking at 100 mother cells divide for each choice of the protein copy number). Then, make a plot of the resulting q < ( I 1 - I 2 ) 2 > vs I tot just as we did analytically in the previous problem. What I mean is that you need to make a plot of all of your simulation results. Then, do a fit to your “data” and see how well you recover the calibration factor that you actually put in by hand. Plot the fit on the same graph as all of the “data”. 3
This is the end of the preview. Sign up to access the rest of the document.
• Fall '09
• DNA, Cell nucleus, Rosenfeld, Physical Biology of the Cell

{[ snackBarMessage ]}

### What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern