Preprint / Version 1

CryoNet.Refine: Fully automated cryo-EM model refinement through physics-informed deep learning

This article is a preprint and has not been certified by peer review.

Authors

    Fuyao Huang,  
    Fuyao Huang
    • State Key Laboratory of Membrane Biology, Beijing Frontier Research Center for Biological Structures, Tsinghua-Peking Joint Center for Life Sciences, Ministry of Education Key Laboratory of Bioinformatics, Center for Synthetic and Systems Biology, Center for Life Sciences and Artificial intelligence, School of Life Sciences, Tsinghua University; Beijing, 100084, China.
    • State Key Laboratory of Membrane Biology, Membrane Structure and Artificial Intelligence Biology Branch, Hangzhou, 311308, China.
    Kui Xu,  
    Kui Xu
    • State Key Laboratory of Membrane Biology, Beijing Tsinghua Institute for Frontier Interdisciplinary Innovation, Beijing, 102202, China.
    Kunting Mu,  
    Kunting Mu
    • State Key Laboratory of Membrane Biology, Beijing Frontier Research Center for Biological Structures, Tsinghua-Peking Joint Center for Life Sciences, Ministry of Education Key Laboratory of Bioinformatics, Center for Synthetic and Systems Biology, Center for Life Sciences and Artificial intelligence, School of Life Sciences, Tsinghua University; Beijing, 100084, China.
    Xiaozhu Yu,  
    Xiaozhu Yu
    • State Key Laboratory of Membrane Biology, Membrane Structure and Artificial Intelligence Biology Branch, Hangzhou, 311308, China.
    Ruixue Wan,  
    Ruixue Wan
    • State Key Laboratory of Gene Expression, Westlake Laboratory of Life Sciences and Biomedicine, Zhejiang Key Laboratory of Structural Biology, School of Life Sciences, Westlake University, 18 Shilongshan Road, Hangzhou 310024, Zhejiang Province, China.
    Qiangfeng Cliff Zhang
    Qiangfeng Cliff Zhang
    • State Key Laboratory of Membrane Biology, Beijing Frontier Research Center for Biological Structures, Tsinghua-Peking Joint Center for Life Sciences, Ministry of Education Key Laboratory of Bioinformatics, Center for Synthetic and Systems Biology, Center for Life Sciences and Artificial intelligence, School of Life Sciences, Tsinghua University; Beijing, 100084, China.
Categories
Keywords
Cryo-electron microscopy; Atomic model refinement; Deep learning

Abstract

Translating cryo-electron microscopy (cryo-EM) density maps into accurate atomic models requires refinement that maximizes map–model agreement and stereochemical validity, yet current workflows often remain laborious and expert-dependent. Here we introduce CryoNet.Refine, a physics-informed deep learning method that couples an AlphaFold 3-derived coordinate update module with a fully differentiable composite loss for fully automated atomic model refinement. We assess performance using a composite quality score (CS-score) integrating density-fit and geometry metrics. Across benchmarks spanning 225 AlphaFold 3–predicted starting models and 675 PDB-deposited structures of two deposition eras, CryoNet.Refine consistently outperforms Phenix.real_space_refine. On unrefined predicted models, CryoNet.Refine raises the mean CS-score from 0.64 to 0.91-versus 0.72 for Phenix.real_space_refine. On PDB-deposited structures-including post-2018 entries already optimized by Phenix.real_space_refine and expert manual correction—CryoNet.Refine achieves higher CS-scores in 90.9% of cases. Strikingly, it lowers the mean MolProbity score from 1.84 to 1.36, whereas Phenix.real_space_refine increases it to 2.02. Half-map cross-validation confirms that these gains reflect genuine structural signal rather than overfitting. CryoNet.Refine is available as open-source software and a web server to support reproducible, high-throughput cryo-EM refinement.

References

Kühlbrandt, W. The resolution revolution. Science 343, 1443–1444 (2014).

Nakane, T. et al. Single-particle cryo-EM at atomic resolution. Nature 587, 152–+ (2020). https://doi.org/10.1038/s41586-020-2829-0

Yip, K. M., Fischer, N., Paknia, E., Chari, A. & Stark, H. Atomic-resolution protein structure determination by cryo-EM. Nature 587, 157–+ (2020). https://doi.org/10.1038/s41586-020-2833-4

Pfab, J., Phan, N. M. & Si, D. DeepTracer for fast de novo cryo-EM protein structure modeling and special studies on CoV-related complexes. Proc Natl Acad Sci U S A 118 (2021). https://doi.org/10.1073/pnas.2017525118

Xu, K., Wang, Z., Shi, J. P., Li, H. S. & Zhang, Q. C. A(2)-Net: Molecular Structure Estimation from Cryo-EM Density Volumes. Thirty-Third Aaai Conference on Artificial Intelligence 33, 1230–1237 (2019).

Li, S., Terashi, G., Zhang, Z. & Kihara, D. Advancing structure modeling from cryo-EM maps with deep learning. Biochem Soc Trans 53, 259–265 (2025). https://doi.org/10.1042/BST20240784

Wang, T. et al. CryoSeek: A strategy for bioentity discovery using cryoelectron microscopy. Proc Natl Acad Sci USA 121, e2417046121 (2024). https://doi.org/10.1073/pnas.2417046121

Terwilliger, T. C., Adams, P. D., Afonine, P. V. & Sobolev, O. V. A fully automatic method yielding initial models from high-resolution cryo-electron microscopy maps. Nat Methods 15, 905–908 (2018). https://doi.org/10.1038/s41592-018-0173-1

Jamali, K. et al. Automated model building and protein identification in cryo-EM maps. Nature 628, 450–457 (2024). https://doi.org/10.1038/s41586-024-07215-4

Afonine, P. V. et al. Real-space refinement in PHENIX for cryo-EM and crystallography. Acta Crystallogr D 74, 531–544 (2018). https://doi.org/10.1107/S2059798318006551

Murshudov, G. N. et al. REFMAC5 for the refinement of macromolecular crystal structures. Acta Crystallogr D Biol Crystallogr 67, 355–367 (2011). https://doi.org/10.1107/S0907444911001314

Engh, R. A. & Huber, R. Accurate Bond and Angle Parameters for X-Ray Protein-Structure Refinement. Acta Crystallogr A 47, 392–400 (1991). https://doi.org/Doi

10.1107/S0108767391001071

Emsley, P., Lohkamp, B., Scott, W. G. & Cowtan, K. Features and development of Coot. Acta Crystallogr D Biol Crystallogr 66, 486–501 (2010). https://doi.org/10.1107/S0907444910007493

Croll, T. I. ISOLDE: a physically realistic environment for model building into low-resolution electron-density maps. Acta Crystallogr D Struct Biol 74, 519–530 (2018). https://doi.org/10.1107/S2059798318002425

Wang, R. Y. et al. Automated structure refinement of macromolecular assemblies from cryo-EM maps using Rosetta. Elife 5 (2016). https://doi.org/10.7554/eLife.17219

Wang, F. et al. DeepPicker: A deep learning approach for fully automated particle picking in cryo-EM. J Struct Biol 195, 325–336 (2016). https://doi.org/10.1016/j.jsb.2016.07.006

Bepler, T. et al. Positive-unlabeled convolutional neural networks for particle picking in cryo-electron micrographs. Nat Methods 16, 1153–1160 (2019). https://doi.org/10.1038/s41592-019-0575-8

Levy, A. et al. CryoAI: Amortized Inference of Poses for Ab Initio Reconstruction of 3D Molecular Volumes from Real Cryo-EM Images. Comput Vis ECCV 13681, 540–557 (2022). https://doi.org/10.1007/978-3-031-19803-8_32

Sanchez-Garcia, R. et al. DeepEMhancer: a deep learning solution for cryo-EM volume post-processing. Commun Biol 4, 874 (2021). https://doi.org/10.1038/s42003-021-02399-1

He, J., Li, T. & Huang, S. Y. Improvement of cryo-EM maps by simultaneous local and non-local deep learning. Nat Commun 14, 3217 (2023). https://doi.org/10.1038/s41467-023-39031-1

He, J., Lin, P., Chen, J., Cao, H. & Huang, S. Y. Model building of protein complexes from intermediate-resolution cryo-EM maps with deep learning-guided automatic assembly. Nat Commun 13, 4066 (2022). https://doi.org/10.1038/s41467-022-31748-9

Li, T. et al. All-atom RNA structure determination from cryo-EM maps. Nat Biotechnol 43, 97–105 (2025). https://doi.org/10.1038/s41587-024-02149-8

Su, B., Huang, K., Peng, Z., Amunts, A. & Yang, J. CryoAtom improves model building for cryo-EM. Nat Struct Mol Biol 33, 351–361 (2026). https://doi.org/10.1038/s41594-025-01713-3

Wang, X., Zhu, H., Terashi, G., Taluja, M. & Kihara, D. DiffModeler: large macromolecular structure modeling for cryo-EM maps using a diffusion model. Nat Methods 21, 2307–2317 (2024). https://doi.org/10.1038/s41592-024-02479-0

Karniadakis, G. E. et al. Physics-informed machine learning. Nature Reviews Physics 3, 422–440 (2021). https://doi.org/10.1038/s42254-021-00314-5

Raissi, M., Perdikaris, P. & Karniadakis, G. E. Physics-informed neural networks: A deep learning framework for solving forward and inverse problems involving nonlinear partial differential equations. J Comput Phys 378, 686–707 (2019). https://doi.org/10.1016/j.jcp.2018.10.045

Wang, S. F., Teng, Y. J. & Perdikaris, P. Understanding and Mitigating Gradient Flow Pathologies in Physics-Informed Neural Networks. Siam J Sci Comput 43, A3055–A3081 (2021). https://doi.org/10.1137/20m1318043

Jumper, J. et al. Highly accurate protein structure prediction with AlphaFold. Nature 596, 583–589 (2021). https://doi.org/10.1038/s41586-021-03819-2

Baek, M. et al. Accurate prediction of protein structures and interactions using a three-track neural network. Science 373, 871–+ (2021). https://doi.org/10.1126/science.abj8754

Sohl-Dickstein, J., Weiss, E. A., Maheswaranathan, N. & Ganguli, S. Deep Unsupervised Learning using Nonequilibrium Thermodynamics. arXiv e-prints, arXiv:1503.03585 (2015). https://doi.org/10.48550/arXiv.1503.03585

Ho, J., Jain, A. & Abbeel, P. Denoising Diffusion Probabilistic Models. arXiv e-prints, arXiv:2006.11239 (2020). https://doi.org/10.48550/arXiv.2006.11239

Song, Y. et al. Score-Based Generative Modeling through Stochastic Differential Equations. arXiv e-prints, arXiv:2011.13456 (2020). https://doi.org/10.48550/arXiv.2011.13456

Watson, J. L. et al. De novo design of protein structure and function with RFdiffusion. Nature 620, 1089–1100 (2023). https://doi.org/10.1038/s41586-023-06415-8

Ingraham, J. B. et al. Illuminating protein space with a programmable generative model. Nature 623, 1070–1078 (2023). https://doi.org/10.1038/s41586-023-06728-8

Abramson, J. et al. Accurate structure prediction of biomolecular interactions with AlphaFold 3. Nature 630, 493–500 (2024). https://doi.org/10.1038/s41586-024-07487-w

Passaro, S. et al. Boltz-2: Towards Accurate and Efficient Binding Affinity Prediction. bioRxiv (2025). https://doi.org/10.1101/2025.06.14.659707

Meng, E. C. et al. UCSF ChimeraX: Tools for structure building and analysis. Protein Sci 32, e4792 (2023). https://doi.org/10.1002/pro.4792

Goddard, T. D. et al. UCSF ChimeraX: Meeting modern challenges in visualization and analysis. Protein Sci 27, 14–25 (2018). https://doi.org/10.1002/pro.3235

Paszke, A. et al. PyTorch: An Imperative Style, High-Performance Deep Learning Library. arXiv e-prints, arXiv:1912.01703 (2019). https://doi.org/10.48550/arXiv.1912.01703

Lawson, C. L. et al. EMDataBank unified data resource for 3DEM. Nucleic Acids Res 44, D396–D403 (2016). https://doi.org/10.1093/nar/gkv1126

Fleming, J. et al. AlphaFold Protein Structure Database and 3D-Beacons: New Data and Capabilities. J Mol Biol 437, 168967 (2025). https://doi.org/10.1016/j.jmb.2025.168967

Berman, H., Henrick, K. & Nakamura, H. Announcing the worldwide Protein Data Bank. Nat Struct Biol 10, 980 (2003). https://doi.org/10.1038/nsb1203-980

Pintilie, G. et al. Measurement of atom resolvability in cryo-EM maps with Q-scores. Nature Methods 17, 328–334 (2020). https://doi.org/10.1038/s41592-020-0731-1

Williams, C. J. et al. MolProbity: More and better reference data for improved all-atom structure validation. Protein Sci 27, 293–315 (2018). https://doi.org/10.1002/pro.3330

Barad, B. A. et al. EMRinger: side chain-directed model and map validation for 3D cryo-electron microscopy. Nat Methods 12, 943–946 (2015). https://doi.org/10.1038/nmeth.3541

Afonine, P. V. et al. New tools for the analysis and validation of cryo-EM maps and atomic models. Acta Crystallogr D Struct Biol 74, 814–840 (2018). https://doi.org/10.1107/S2059798318009324

Zhou, Y. et al. Cryo-EM structure of the human concentrative nucleoside transporter CNT3. PLoS Biol 18, e3000790 (2020). https://doi.org/10.1371/journal.pbio.3000790

Stachowski, K., Norris, A. S., Potter, D., Wysocki, V. H. & Foster, M. P. Mechanisms of Cre recombinase synaptic complex assembly and activation illuminated by Cryo-EM. Nucleic Acids Res 50, 1753–1769 (2022). https://doi.org/10.1093/nar/gkac032

Ha, B. et al. High-resolution view of HIV-1 reverse transcriptase initiation complexes and inhibition by NNRTI drugs. Nat Commun 12, 2500 (2021). https://doi.org/10.1038/s41467-021-22628-9

Obr, M. et al. Structure of the mature Rous sarcoma virus lattice reveals a role for IP6 in the formation of the capsid hexamer. Nat Commun 12, 3226 (2021). https://doi.org/10.1038/s41467-021-23506-0

Raghu, R., Levy, A., Wetzstein, G. & Zhong, E. D. Multiscale guidance of protein structure prediction with heterogeneous cryo-EM data. arXiv e-prints, arXiv:2506.04490 (2025). https://doi.org/10.48550/arXiv.2506.04490

Metrics

Views: 9
Downloads: 2

Downloads

Posted

2026-07-27

How to Cite

Huang, F., Xu, K., Mu, K., Yu, X., Wan, R., & Zhang, Q. C. (2026). CryoNet.Refine: Fully automated cryo-EM model refinement through physics-informed deep learning. LangTaoSha Preprint Server. https://doi.org/10.65215/LTSpreprints.2026.07.27.000295

Download Citation

Declaration of Competing Interests

The authors declare no competing interests to disclose.