Cited by 6Computational Drug Discovery MethodsProtein Structure and DynamicsModel Reduction and Neural Networks

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A multi-grained symmetric differential equation model for learning protein-ligand binding dynamics

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Abstract

Molecular dynamics (MD) simulation is a key tool in drug discovery for predicting protein-ligand binding affinities, transport properties, and pocket dynamics. While advances in numerical and machine learning (ML) methods have improved MD efficiency, accurately modeling long-timescale dynamics remains challenging. We introduce NeuralMD, an ML surrogate that accelerates and enhances MD simulations of protein-ligand binding. NeuralMD employs a physics-informed, multi-grained, group-symmetric framework comprising (1) BindingNet, which enforces symmetry via vector frames and captures multi-level protein-ligand interactions, and (2) an augmented neural differential equation solver that learns trajectories under Newtonian mechanics. Across ten single-trajectory and three multi-trajectory tasks, NeuralMD achieves up to 15 × lower reconstruction error and 70% higher validity than existing ML baselines. The predicted oscillations closely align with ground-truth dynamics, establishing NeuralMD as a foundation for next-generation protein-ligand simulation research.

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Metadata

Authors
Liu, S., Du, W., Xu, H., Li, Y., Li, Z., Bhethanabotla, V., Yan, D., Borgs, C., Anandkumar, A., Guo, H., & Chayes, J.
Affiliations
  • University of California, Berkeley (US)
  • University of Oxford (GB)
  • University of Toronto (CA)
  • California Institute of Technology (US)
  • National Research Council Canada (CA)
Corresponding author
  • Liu, Shengchao
  • Borgs, Christian
  • Guo, Hongyu
  • Chayes, Jennifer
Venue
Nature Communications
Published
2025-12-30
Volume
17
Issue
1
Pages
1049-1049
ISSN
2041-1723 (ISSN-L)
OpenAlex
W7117551302
Cited by
6
References
3
Citations by year
2026: 3 · 2025: 3
FWCI
3.09
Type
journal article
Language
en
Open access
Locations
  • Nature Communications (publishedVersion, cc-by)
  • Research Square (acceptedVersion, cc-by)
  • PubMed (publishedVersion)
  • PubMed Central (publishedVersion, cc-by)
  • DOAJ (DOAJ: Directory of Open Access Journals) (submittedVersion, cc-by-sa)
Topics
  • Life Sciences › Pharmacology, Toxicology and Pharmaceutics › Drug Discovery › Computational Drug Discovery Methods
  • Life Sciences › Biochemistry, Genetics and Molecular Biology › Molecular Biology › Protein Structure and Dynamics
  • Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Model Reduction and Neural Networks
Keywords
neural differential equations, physics-informed machine learning, group symmetry, molecular dynamics acceleration, binding affinity prediction, long-timescale molecular dynamics
MeSH terms
Machine Learning, Ligands, Protein Binding, Proteins, Neural Networks, Computer, Drug Discovery, Molecular Dynamics Simulation

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