I thought I would share this question with the community… It is part of my assignment due on Monday in my Biophysical chemistry class. I will give massive props if anyone can figure it out.
Begin by comparing the given equation to a Boltzmann distribution, solve for (i), and find your way from there. Good Luck!
Closed circular RNA can be supercoiled… think of a phone cord twisting on itself. The energy required to put (i) supercoils is given by dE = Ki^2 where dE is the change in energy, K is the kinetic energy, and i is the number of twists (K ~ 0.4KJ/mol). Show the number of RNA molecules with (i) supercoils is given by a Gaussian distribution with mean =0 (normalized). Compute the relative number of molecules with 0, 1, 2, and 10 supercoils at 37C.