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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
- ORCID
- Venue
- Nature Communications
- Published
- 2025-12-30
- Volume
- 17
- Issue
- 1
- Pages
- 1049-1049
- ISSN
- 2041-1723 (ISSN-L)
- PMC
- PMC12848303
- OpenAlex
- W7117551302
- Cited by
- 6
- References
- 3
- Citations by year
- 2026: 3 · 2025: 3
- FWCI
- 3.09
- Type
- journal article
- Language
- en
- Open access
- gold
- doi.org
- Licence
- 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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