The paper introduces interaction-based Markov state models (iMSMs): MD trajectories are converted into time-averaged, identity-resolved interaction histograms around a focal entity (e.g., a cargo:NTR complex), which are clustered (k-means, initial k=320) into recurring interaction states, and state transitions yield a lagged transition-probability matrix . The key representational choiceβnormalizing each histogram by a fixed interaction capacity (5) rather than observed contact countβpreserves strongly, partially, and weakly engaged states that composition-only normalization would collapse.
For 61-kDa NTRs (4 or 6 FG-binding sites), iMSM free energies closely match direct MD estimates (JS divergences 0.001/0.048; Wasserstein distances 4.4/9.2 nm), and permeabilities from random walks over state space converge to direct transport tallying . Across a 15-variant screen (5 masses Γ 3 valencies, 4 pore diameters), relative trends are preserved though absolute permeabilities differ by up to half an order of magnitude . With truncated trajectories, iMSM permeability converges faster than direct tallyingβmean 3.80Γ, median 4.00Γ, increasing with valency (2/4/6 sites: 1.74Γ/2.68Γ/7.00Γ) .
Partially engaged states offer faster routes to disengagement than strongly bound states; Nsp1 dominates central-channel interactions; FSFG motifs contribute more on the nucleoplasmic side; pore dilation weakens the size-dependent central barrier while keeping FG-motif environments broadly similar . At residue resolution, an FSFG motif slides along the Kap95 HEAT 5/6 groove while exchanging contacts without dissociating, recovering slide-and-exchange dynamics .
Falsification: iMSM permeabilities failing the two-fold convergence envelope for most variants would weaken the central claim .
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