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midterm - Massachusetts Institute of Technology Biological...

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Massachusetts Institute of Technology Biological Engineering Division Department of Mechanical Engineering Department of Electrical Engineering and Computer Science BEH.410/2.798J/6.524J/10.539J Molecular, Cellular & Tissue Biomechanics, Spring 2003 First quiz Wednesday, April 9, 2003 7:00 – 9:00 pm You will be given two hours to complete the exam. You may use any of the following materials: Class notes Other materials distributed in class Any of the reference texts Calculator If you have any questions, don’t hesitate to ask us. There are three problems on the exam with the points as indicated. Please be sure to explain your reasoning as fully as possible. Write everything in the exam booklet, not on the exam. Solutions will be available as you leave.
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Problem #1 Biopolymer Mechanics (40 points total) Recently Maier and Radler ( Phys. Rev. Lett. 82 1911, 1999) have adsorbed double stranded DNA onto a lipid bilayer. One use of the system is to enable fundamental studies of polymer dynamics in reduced dimensions. The bilayer is mobile and so we can think about this system as a flexible polymer undergoing a random walk in two dimensions (2-D) . a) (10pts) Treat the adsorbed DNA molecule as an ideal Gaussian chain in 2-D. Derive the force–extension relationship for this model system (<F> for a given end-to- end separation R).
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