Structural analysis of the changes in pairwise correlation between
Clusters 1 and 2 for torsions throughout BPTI. Left: cartoon representation
of BPTI with structural features having large correlation annotated
by the torsion number (superscripted) and residue number (bold). Loop
1 (purple) and loop 2 (orange) are connected by the central disulfide
bridge (Cys14-Cys38) and show strong intra- and interloop correlation.
Center: Mutual information heat map for all torsion pairs pertaining
to the 332 nonphase side-chain and main-chain ϕ/ψ torsions.
The first 116 torsions correspond to main-chain torsions starting
at residue 1, and the following 216 are side-chain torsions, again
starting at residue 1. Main-chain torsions of loop 1 start at torsion
16 (residue 8) and end at torsion 34 (residue 17). Main-chain torsions
of loop 2 start at torsion 69, residue 34 and end at torsion 86, residue
43. The disulfide bridges are side-chain torsions 264, 313, and 330.
Side-chain torsion 154 (Tyr10) shows a noticeable correlation fingerprint.
(Right) The corresponding MIST solution for the same set of torsions.
The mutual information and entropy values represent Cluster 2 minus
Cluster 1 deltas and are reported in units of S/kB. Furthermore, each delta in pairwise mutual information
had the average delta in pairwise spurious mutual information (0.0057),
as determined by the previous permutation analysis subtracted from
its value to minimize numerical bias.