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Generative Modeling of Molecular Dynamics Trajectories

NeurIPS 2024 · Probabilistic and scientific modeling › Molecules and proteins · approach: Diffusion for molecular conformations · 2 citations (OpenAlex)

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Proposes MDGen, a flow-matching (stochastic interpolant + SiT/Hyena transformer) generative model over SE(3)-invariant key-frame-relative tokens of MD trajectories, supporting forward simulation, transition path sampling, upsampling, and inpainting design on tetrapeptides and proteins.

Problem

Existing deep learning surrogates of molecular dynamics learn only transition densities or equilibrium distributions, so they cannot readily address trajectory-level inverse problems such as transition path sampling, upsampling, or dynamics-conditioned design.

Approach

Model entire MD trajectories as time-series of SE(3)-invariant tokens (roto-translation offsets relative to conditioning key frames plus torsion angles) with a stochastic-interpolant flow model using alternating residue and time attention; different conditioning masks yield forward simulation, interpolation, upsampling, and inpainting from one framework.

Key results

Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use MDGen forward simulation instead of a 10 ns replicate MD simulationTest peptide forward simulation · Test peptides, all torsionsJSD: .125 -> .109Helped
Use MDGen forward simulation instead of a 10 ns replicate MD simulationTest peptide forward simulation · Test peptides, TICA-0JSD: .323 -> .230Helped
Use MDGen forward simulation instead of a 10 ns replicate MD simulationTest peptide forward simulation · Test peptides, MSM statesJSD: .363 -> .235Helped
Use MDGen forward simulation instead of a 100 ns replicate MD simulationTest peptide forward simulation · Test peptides, all torsionsJSD: .076 -> .109Hurt
Use MDGen forward simulation instead of replicate MDTest peptide forward simulation · 100 ns-equivalent trajectoriesRuntime: 3h -> 60sHelped
Generate transition paths with MDGen rather than replicate MD MSMs shorter than 100 nsTransition path sampling · Test peptides, rare transitionsPath likelihood under reference MSMHelped
Generate transition paths with MDGen rather than replicate MD MSMsTransition path sampling · Test peptides, rare transitionsJSD of visited-state distributionHelped
Generate transition paths with MDGen rather than replicate MD MSMsTransition path sampling · Test peptides, rare transitionsValid path fractionHelped
Upsample 10 ps trajectories with MDGenTrajectory upsampling · Test peptides, torsion autocorrelationRecovery of fast dynamicsHelped
Condition peptide inpainting on a residue trajectory rather than static endpoint framesMDGen inpainting versus DynMPNN · Test peptides, high-flux and random pathsSequence recoveryHelped
Use MDGen instead of MSA subsampling with AlphaFoldProtein forward simulation · ATLAS proteinsEnsemble statistical propertiesHelped

Surprising findings

Limitations

Experimental setup

Datasets: ATLAS

Benchmarks: tetrapeptide MD simulations ATLAS

Metrics: Jensen-Shannon divergence decorrelation time flux matrix Spearman correlation valid path rate path likelihood sequence recovery runtime

Baselines: replicate MD simulations DynMPNN S-MPNN AlphaFlow MSA subsampling

Builds on: Scalable Interpolant Transformer (SiT) stochastic interpolants Dirichlet flow matching Hyena DiT

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