Problem 3: Proteins that bend DNA Integration Host Factor, IHF, is an architectural protein in E. coli that helps to package the DNA inside the cell as well as to organize the DNA for higher-order nucleoprotein complexes. IHF can bend some DNA segments are 35 base-pairs long into a U-turn as shown in the figure to the right. The Young's modulus of DNA is 300 MPa, and its cross-sectional radius is 1 nm. Model DNA as a cylindrical rod. A. What is the bending coefficient of DNA in units of J. m? B. How long is a 35 base-pair long segment of DNA? (Express your answer in nm given that the separation between base pairs in double-stranded DNA is 0.34 nm.) C. By what angle (in radians) is the DNA bent in the IHF-bound complex? D. Determine the radius of curvature (in nm) for the bent DNA in this IHF-bound complex.

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Problem 3: Proteins that bend DNA
Integration Host Factor, IHF, is an architectural protein in E. coli
that helps to package the DNA inside the cell as well as to organize
the DNA for higher-order nucleoprotein complexes. IHF can bend
some DNA segments are 35 base-pairs long into a U-turn as shown
in the figure to the right.
The Young's modulus of DNA is 300 MPa, and its cross-sectional
radius is 1 nm. Model DNA as a cylindrical rod.
A. What is the bending coefficient of DNA in units of J. m?
B. How long is a 35 base-pair long segment of DNA? (Express your answer in nm given that the
separation between base pairs in double-stranded DNA is 0.34 nm.)
C. By what angle (in radians) is the DNA bent in the IHF-bound complex?
D. Determine the radius of curvature (in nm) for the bent DNA in this IHF-bound complex.
Transcribed Image Text:Problem 3: Proteins that bend DNA Integration Host Factor, IHF, is an architectural protein in E. coli that helps to package the DNA inside the cell as well as to organize the DNA for higher-order nucleoprotein complexes. IHF can bend some DNA segments are 35 base-pairs long into a U-turn as shown in the figure to the right. The Young's modulus of DNA is 300 MPa, and its cross-sectional radius is 1 nm. Model DNA as a cylindrical rod. A. What is the bending coefficient of DNA in units of J. m? B. How long is a 35 base-pair long segment of DNA? (Express your answer in nm given that the separation between base pairs in double-stranded DNA is 0.34 nm.) C. By what angle (in radians) is the DNA bent in the IHF-bound complex? D. Determine the radius of curvature (in nm) for the bent DNA in this IHF-bound complex.
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