- #1

emoboya3

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## Homework Statement

Estimate total work that motor [tex]\phi[/tex]29 needs to perform to overcome entropy loss of packing DNA

## Homework Equations

P(R,N)=(3/2[tex]\pi[/tex]Na[tex]^{2}[/tex])[tex]^{3/2}[/tex]e[tex]^{(-3R^{2})/(2Na^{2}}[/tex])

This equation gives the end to end distribution or a 3D random walk with N segments length a.

## The Attempt at a Solution

I'm not 100% sure where to start on this. I've been trying to figure it out all day, honestly. I know that DNA has a persistence length a[tex]\approx[/tex]100nm because it's fairly rigid over about 300 base pairs. It is therefore modeled as N=65 segments.

I'm not sure where to go from here though. How do I come up with the entropy change by putting the DNA in the capsule?

I planned to model the capsule as a sphere of radius 20nm. Any help on where to go from here?

Thanks