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!<br />

!<br />

!<br />

!<br />

2"<br />

3kBT #Ri $ #R j = (%&1 N&1<br />

) ij = 'k Where<br />

(<br />

k=1<br />

&1<br />

uk [ ] i u k<br />

[ ] j = U) &1 U T<br />

" is the Kirchoff, or connectivity matrix, and " is the diagonal matrix of<br />

eigenvalues " k of ". The elements of " are simple to obtain approximately using the<br />

GNM method.<br />

k.<br />

!<br />

!<br />

!<br />

[ ] !<br />

i is the displacement of the α-carbon of residue i due to normal mode<br />

u k<br />

!<br />

"R i is the net displacement of the α-carbon of residue i from its equilibrium position<br />

due to normal mode motions.<br />

!<br />

168<br />

[1]<br />

" is the effective stiffness used by Tirion et al. Cross-<br />

correlations are normalized with respect to the auto-correlations as follows:<br />

C(i, j) =<br />

"R i # "R j<br />

"R i # "R i "R j # "R j<br />

hNMb requires that we first compute the matrix of average correlations for all continuous<br />

stretches of residues in the protein chain as follows:<br />

[2]

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