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How good is Generative Diffusion Model for Enhanced Sampling of Protein Conformations Across Scales and in All-atom Resolution?
Open accessPreprint — published as 10.1063/5.0279756 · Paper page
Abstract
Molecular dynamics (MD) simulations are fundamental for probing the structural dynamics of biomolecules, yet their efficiency is limited by the high computational cost of exploring long-timescale events. Generative machine learning (ML) models, particularly the Denoising Diffusion Probabilistic Model (DDPM), offer an emerging strategy to enhance conformational sampling. In this study, we evaluate the capabilities and limitations of DDPM in generating atomistically accurate conformational ensembles across proteins of varying size and structural order, ranging from the 20-residue folded Trp-cage and 58-residue BPTI to the 83-residue intrinsically disordered region Ash1 and the 140-residue intrinsically disordered protein α -Synuclein. Training DDPM on relatively short MD trajectories using both torsion angle and all-atom coordinate data, we demonstrate that it can reproduce key structural features such as secondary structure, radius of gyration, and contact maps, while effectively sampling sparsely populated regions of the conformational landscape. Notably, DDPM can also generate novel conformations, including transitions not explicitly observed in the training data. However, the model occasionally overlooks low-probability regions and may produce conformers with unclear physical relevance, warranting independent validation. These limitations are particularly evident in flexible systems such as IDPs. Overall, this work benchmarks DDPM as a viable tool for augmenting MD simulations, offering enhanced sampling with significant computational savings, while noting its limitations in capturing low-populated conformers. At the same time, it highlights the importance of rigorous validation and thoughtful interpretation when deploying generative models in computational biophysics.
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Highly accurate protein structure prediction with AlphaFold
Jumper, J., Evans, R., Pritzel, A., Green, T., Figurnov, M., Ronneberger, O., Tunyasuvunakool, K., Bates, R., Žídek, A., Potapenko, A., et al. (2021) · Nature · doi:10.1038/s41586-021-03819-2 · Cited by 43,764
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Research works printed but not linked: 89
- 10.1006/jmbi.1999.3110 · DOI · Paper page
- 10.1016/j.febslet.2005.03.072 · DOI · Paper page
- 10.1038/s41580-023-00673-0 · DOI
- 2023, Conformational plasticity in α-synuclein and how crowded environment modulates it, The Journal of Physical Chemistry B, 127, 4032, 10.1021/acs.jpcb.3c00982 · DOI
- 10.1146/annurev.biophys.37.032807.125924 · DOI
- 10.1016/j.bbadis.2011.10.002 · DOI
- 10.1016/S0896-6273(02)00872-3 · DOI
- 10.1021/cr500288y · DOI
- 10.1038/42166 · DOI · Paper page
- Shaw, D. E. ; Dror, R. O. ; Salmon, J. K. ; Grossman, J. ; Mackenzie, K. M. ; Bank, J. A. ; Young, C. ; Deneroff, M. M. ; Batson, B. ; Bowers, K. J . Millisecond-scale molecular dynamics simulations on Anton. Proceedings of the conference on high performance computing networking, storage and analysis. 2009; pp 1–11. · DOI
- Shaw, D. E. ; Grossman, J. ; Bank, J. A. ; Batson, B. ; Butts, J. A. ; Chao, J. C. ; Deneroff, M. M. ; Dror, R. O. ; Even, A. ; Fenton, C. H . Anton 2: raising the bar for performance and programmability in a special-purpose molecular dynamics supercomputer. SC’14: Proceedings of the International Conference for High Performance Computing, Networking, Storage and Analysis. 2014; pp 41–53. · DOI
- 10.1002/jcc.24030 · DOI
- 10.1007/BF00124016 · DOI
- 10.1002/wcms.31 · DOI
- 10.1016/0021-9991(77)90121-8 · DOI · Paper page
- 10.1002/wcms.66 · DOI
- 10.1126/science.271.5251.997 · DOI
- 10.1016/S0959-440X(00)00194-9 · DOI
- 10.1016/j.cplett.2006.05.062 · DOI
- 10.1073/pnas.0914540107 · DOI
- 2014, On-the-fly learning and sampling of ligand binding by high-throughput molecular simulations, Journal of chemical theory and computation, 10, 2064, 10.1021/ct400919u · DOI
- 2019, How effectively can adaptive sampling methods capture spontaneous ligand binding?, Journal of chemical theory and computation, 15, 2053, 10.1021/acs.jctc.8b00913 · DOI
- 10.1016/S0009-2614(99)01123-9 · DOI
- 10.1016/S0006-3495(03)74897-8 · DOI
- 10.1063/1.1755656 · DOI
- 10.1016/S1574-1400(09)00504-0 · DOI
- 10.1146/annurev-biophys-070816-033834 · DOI
- 10.1016/S0006-3495(96)79552-8 · DOI
- Mardt, A. ; Pasquali, L. ; Wu, H. ; Noé, F. VAMPnets for deep learning of molecular kinetics. Nature communications 2018, 9, 5. · DOI
- Wehmeyer, C. ; No, F . Time-lagged autoencoders: Deep learning of slow collective variables for molecular kinetics. The Journal of Chemical Physics 2018, 148, 241703. · DOI
- Prinz, J.-H. ; Wu, H. ; Sarich, M. ; Keller, B. ; Senne, M. ; Held, M. ; Chodera, J. D. ; Schtte, C. ; No, F . Markov models of molecular kinetics: Generation and validation. The Journal of Chemical Physics 2011, 134, 174105. · DOI · Paper page
- 10.1021/jacs.7b12191 · DOI
- 10.1073/pnas.1704803114 · DOI
- 10.1109/5.18626 · DOI · Paper page
- No, F. ; Wu, H. ; Prinz, J.-H. ; Plattner, N . Projected and hidden Markov models for calculating kinetics and metastable states of complex molecules. The Journal of Chemical Physics 2013, 139, 184114. · DOI · Paper page
- 10.1038/nbt1004-1315 · DOI
- 10.1126/science.1127647 · DOI · Paper page
- 10.1016/j.neucom.2013.09.055 · DOI
- 10.1093/nar/gkae749 · DOI
- Kingma, D. P. ; Welling, M. Auto-Encoding Variational Bayes. 2022; https://arxiv. org/abs/1312.6114.
- 10.1561/2200000056 · DOI · Paper page
- 10.1016/j.str.2019.03.018 · DOI
- 2021, Predicting new protein conformations from molecular dynamics simulation conformational landscapes and machine learning, Proteins: structure, function, and bioinformatics, 89, 915, 10.1002/prot.26068 · DOI
- Gupta, A. ; Dey, S. ; Hicks, A. ; Zhou, H.-X . Artificial intelligence guided conformational mining of intrinsically disordered proteins. Communications biology 2022, 5, 610. · DOI · Paper page
- Goodfellow, I. ; Pouget-Abadie, J. ; Mirza, M. ; Xu, B. ; Warde-Farley, D. ; Ozair, S. ; Courville, A. ; Bengio, Y. Generative adversarial nets. Advances in neural information processing systems 2014, 27 .
- Brock, A. ; Donahue, J. ; Simonyan, K. Large Scale GAN Training for High Fidelity Natural Image Synthesis. 2019; https://arxiv.org/abs/1809.11096. · arXiv
- Rezende, D. ; Mohamed, S . Variational inference with normalizing flows. International conference on machine learning. 2015; pp 1530–1538.
- 2021, Smooth normalizing flows, Advances in Neural Information Processing Systems, 34, 2796
- 2021, Deep generative modelling: A comparative review of vaes, gans, normalizing flows, energy-based and autoregressive models, IEEE transactions on pattern analysis and machine intelligence, 44, 7327
- Noé, F. ; Olsson, S. ; Köhler, J. ; Wu, H. Boltzmann generators: Sampling equilibrium states of many-body systems with deep learning. Science 2019, 365, eaaw1147. · DOI
- Hochreiter, S. Long Short-term Memory. Neural Computation MIT-Press 1997, · DOI · Paper page
- Sundermeyer, M. ; Schlüter, R. ; Ney, H. Lstm neural networks for language modeling. Interspeech. 2012; pp 194–197. · DOI · Paper page
- 2020, Learning molecular dynamics with simple language model built upon long short-term memory neural network, Nature communications, 11, 5115, 10.1038/s41467-020-18959-8 · DOI
- 2022, Path sampling of recurrent neural networks by incorporating known physics, Nature Communications, 13, 7231, 10.1038/s41467-022-34780-x · DOI
- Vaswani, A. ; Shazeer, N. ; Parmar, N. ; Uszkoreit, J. ; Jones, L. ; Gomez, A. N. ; Kaiser, Lt . ; Polosukhin, I . Attention is all you need. Advances in neural information processing systems 2017, 30 .
- 2025, Accurate Prediction of the Kinetic Sequence of Physicochemical States Using Generative Artificial Intelligence, Chem. Sci, 16, 8735, 10.1039/D5SC00108K · DOI
- Sohl-Dickstein, J. ; Weiss, E. ; Maheswaranathan, N. ; Ganguli, S . Deep unsupervised learning using nonequilibrium thermodynamics. International conference on machine learning. 2015; pp 2256–2265.
- 10.48550/ARXIV.2006.11239 · DOI · Paper page
- 2021, Diffusion models beat gans on image synthesis, Advances in neural information processing systems, 34, 8780
- 2024, Protein structure generation via folding diffusion, Nature communications, 15, 1059, 10.1038/s41467-024-45051-2 · DOI
- 2024, Direct conformational sampling from peptide energy landscapes through hypernetwork-conditioned diffusion, Nature Machine Intelligence, 6, 775, 10.1038/s42256-024-00860-4 · DOI
- 10.1038/s41586-023-06728-8 · DOI · Paper page
- 2023, Score-based generative modeling for de novo protein design, Nature Computational Science, 3, 382, 10.1038/s43588-023-00440-3 · DOI · Paper page
- 2024, Predicting equilibrium distributions for molecular systems with deep learning, Nature Machine Intelligence, 6, 558, 10.1038/s42256-024-00837-3 · DOI
- Abramson, J. ; Adler, J. ; Dunger, J. ; Evans, R. ; Green, T. ; Pritzel, A. ; Ronneberger, O. ; Willmore, L. ; Ballard, A. J. ; Bambrick, J . Accurate structure prediction of biomolecular interactions with AlphaFold 3. Nature 2024, 1–3. · DOI · Paper page
- 10.1126/science.abj8754 · DOI · Paper page
- 10.1038/s41586-023-06415-8 · DOI · Paper page
- 10.1146/annurev-physchem-083122-125941 · DOI
- Ribeiro, J. M. L. ; Bravo, P. ; Wang, Y. ; Tiwary, P . Reweighted autoencoded variational Bayes for enhanced sampling (RAVE). The Journal of Chemical Physics 2018, 149, 072301. · DOI
- Aranganathan, A. ; Gu, X. ; Wang, D. ; Vani, B. P. ; Tiwary, P . Modeling Boltzmann-weighted structural ensembles of proteins using artificial intelligencebased methods. Current Opinion in Structural Biology 2025, 91, 103000. · DOI
- Janson, G. ; Valdes-Garcia, G. ; Heo, L. ; Feig, M . Direct generation of protein conformational ensembles via machine learning. Nature Communications 2023, 14, 774. · DOI · Paper page
- 2024, Transferable deep generative modeling of intrinsically disordered protein conformations, PLOS Computational Biology, 20, e1012144, 10.1371/journal.pcbi.1012144 · DOI · Paper page
- 10.1073/pnas.2203656119 · DOI
- 2024, Neural Thermodynamic Integration: Free Energies from Energy-Based Diffusion Models, The Journal of Physical Chemistry Letters, 15, 11395, 10.1021/acs.jpclett.4c01958 · DOI
- Benayad, Z. ; Stirnemann, G. Hamiltonian replica exchange augmented with diffusion-based generative models and importance sampling to assess biomolecular conformational basins and barriers. 2025; https://arxiv.org/abs/2505.08357. · DOI
- Ronneberger, O. ; Fischer, P. ; Brox, T . U-net: Convolutional networks for biomedical image segmentation. Medical image computing and computer-assisted intervention–MICCAI 2015: 18th international conference, Munich, Germany, October 5-9, 2015, proceedings, part III 18. 2015; pp 234–241. · DOI · Paper page
- Kingma, D. P. ; Ba, J. Adam : A Method for Stochastic Optimization. 2017; https://arxiv.org/abs/1412.6980. · arXiv
- 10.1073/pnas.1800690115 · DOI
- 2021, Deep learning the structural determinants of protein biochemical properties by comparing structural ensembles with DiffNets, Nature communications, 12, 3023, 10.1038/s41467-021-23246-1 · DOI
- 10.1073/pnas.2321971121 · DOI
- 10.1021/jacs.1c07591 · DOI
- 2018, Atomic resolution mechanism of ligand binding to a solvent inaccessible cavity in T4 lysozyme, PLoS computational biology, 14, e1006180, 10.1371/journal.pcbi.1006180 · DOI
- 10.1021/jacs.8b10840 · DOI
- 10.1021/jacs.3c06144 · DOI
- 2020, Fuzzy association of an intrinsically disordered protein with acidic membranes, JACS Au, 1, 66
- 10.1073/pnas.2407744121 · DOI
- 10.1073/pnas.1418155112 · DOI
- Strodel, B . Energy landscapes of protein aggregation and conformation switching in intrinsically disordered proteins. Journal of molecular biology 2021, 433, 167182. · DOI
- 2020, Simulation of FUS protein condensates with an adapted coarse-grained model, Journal of chemical theory and computation, 17, 525
Metadata
- Authors
- Bera, P., & Mondal, J.
- Affiliations
- Tata Institute of Fundamental Research (IN)
- Corresponding author
- Bera, Palash
- Mondal, Jagannath
- Venue
- The Journal of Chemical Physics
- Publisher
- openRxiv
- Published
- 2025-01-21
- Volume
- 163
- Issue
- 11
- ISSN
- 0021-9606 (ISSN-L)
- OpenAlex
- W4414279885
- Cited by
- 7
- References
- 1
- Citations by year
- 2026: 5 · 2025: 2
- FWCI
- 2.11
- Type
- journal article
- Language
- en
- Open access
- green
- doi.org
- Licence
- Locations
- The Journal of Chemical Physics (publishedVersion)
- bioRxiv (Cold Spring Harbor Laboratory) (acceptedVersion, cc-by-nc)
- PubMed (publishedVersion)
- Funders
- Department of Atomic Energy, Government of India (RTI 4007)
- Topics
- Life Sciences › Biochemistry, Genetics and Molecular Biology › Molecular Biology › Protein Structure and Dynamics
- Life Sciences › Pharmacology, Toxicology and Pharmaceutics › Drug Discovery › Computational Drug Discovery Methods
- Physical Sciences › Chemistry › Physical and Theoretical Chemistry › Advanced Physical and Chemical Molecular Interactions
- Keywords
- denoising diffusion probabilistic models, generative models, protein conformational sampling, intrinsically disordered proteins, alpha-synuclein, aprotinin, Trp-cage, ASH1, secondary structure, radius of gyration, contact maps, dihedral angle
- MeSH terms
- Machine Learning, Diffusion, Protein Conformation, Proteins, alpha-Synuclein, Molecular Dynamics Simulation, Intrinsically Disordered Proteins
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