Coarse-grained molecular dynamics integrated with convolutional neural network for comparing shapes of temperature sensitive bottlebrushes
Source abstract
Abstract
Abstract Quantification of shape changes in nature-inspired soft material architectures of stimuli-sensitive polymers is critical for controlling their properties but is challenging due to their softness and flexibility. Here, we have computationally designed uniquely shaped bottlebrushes of a thermosensitive polymer, poly(N-isopropylacrylamide) (PNIPAM), by controlling the length of side chains along the backbone. Coarse-grained molecular dynamics simulations of solvated bottlebrushes were performed below and above the lower critical solution temperature of PNIPAM. Conventional analyses (free volume, asphericity, etc.) show that lengths of side chains and their immediate environments dictate the compactness and bending in these architectures. We further developed 100 unique convolutional neural network models that captured molecular-level features and generated a statistically significant quantification of the similarity between different shapes. Thus, our study provides insights into the shapes of complex architectures as well as a general method to analyze them. The shapes presented here may inspire the synthesis of new bottlebrushes.
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Research context
OpenAlex topics: Advanced Sensor and Energy Harvesting Materials · Advanced Polymer Synthesis and Characterization · Hydrogels: synthesis, properties, applications
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
References (100+)
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1. Bornstein, M. H. Colour-name versus shape-name learning in young children*. J. Child Lang. 12, 387–393 (1985).10.1017/S0305000900006498 ↗
2. Biederman, I. Recognition-by-components: a theory of human image understanding. Psychol. Rev. 94, 115–147 (1987).10.1037/0033-295X.94.2.115 ↗
3. Landau, B., Smith, L. B. & Jones, S. S. The importance of shape in early lexical learning. Cogn. Dev. 3, 299–321 (1988).10.1016/0885-2014(88)90014-7 ↗
4. Diez-Silva, M., Dao, M., Han, J., Lim, C.-T. & Suresh, S. Shape and biomechanical characteristics of human red blood cells in health and disease. MRS Bull. 35, 382–388 (2010).10.1557/mrs2010.571 ↗
5. Zhao, G. et al. Mature HIV-1 capsid structure by cryo-electron microscopy and all-atom molecular dynamics. Nature 497, 643–646 (2013).10.1038/nature12162 ↗
6. Ge, P. et al. Cryo-EM model of the bullet-shaped vesicular stomatitis virus. Science 327, 689–693 (2010).10.1126/science.1181766 ↗
7. Ensign, L. M., Cone, R. & Hanes, J. Oral drug delivery with polymeric nanoparticles: the gastrointestinal mucus barriers. Adv. Drug Deliv. Rev. 64, 557–570 (2012).10.1016/j.addr.2011.12.009 ↗
8. Banerjee, A., Qi, J., Gogoi, R., Wong, J. & Mitragotri, S. Role of nanoparticle size, shape and surface chemistry in oral drug delivery. J. Control. Release 238, 176–185 (2016).10.1016/j.jconrel.2016.07.051 ↗
9. Nangia, S. & Sureshkumar, R. Effects of nanoparticle charge and shape anisotropy on translocation through cell membranes. Langmuir 28, 17666–17671 (2012).10.1021/la303449d ↗
10. Wang, W., Gaus, K., Tilley, R. D. & Justin Gooding, J. The impact of nanoparticle shape on cellular internalisation and transport: what do the different analysis methods tell us? Mater. Horiz. 6, 1538–1547 (2019).10.1039/C9MH00664H ↗
11. Xie, X., Liao, J., Shao, X., Li, Q. & Lin, Y. The effect of shape on cellular uptake of gold nanoparticles in the forms of stars, rods, and triangles. Sci. Rep. 7, 3827 (2017).10.1038/s41598-017-04229-z ↗
12. Vasudevan, S. & Fullerton-Shirey, S. K. Effect of nanoparticle shape on the electrical and thermal properties of solid polymer electrolytes. J. Phys. Chem. C. 123, 10720–10726 (2019).10.1021/acs.jpcc.8b08029 ↗
13. Han, L. et al. The effects of nanoparticle shape on electrical conductivity of Ag nanomaterials. J. Mater. Sci.: Mater. Electron. 25, 3870–3877 (2014).
14. Elias, M. M. et al. Effect of nanoparticle shape on the heat transfer and thermodynamic performance of a shell and tube heat exchanger. Int. Commun. Heat. Mass Transf. 44, 93–99 (2013).10.1016/j.icheatmasstransfer.2013.03.014 ↗
15. Roni, M. R. H., Morshed, A. M., Tikadar, A., Paul, T. C., Khan, J. A. Nanoparticles shape effect on thermal conductivity of nanofluids: a molecular dynamics study. Proc. ASME. Int. Mech. Eng. Congress. Expo. 8, 1–9 Salt Lake City, Utah, USA. November 11–14, 2019. V008T09A080. ASME.
16. Arno, M. C. et al. Exploiting the role of nanoparticle shape in enhancing hydrogel adhesive and mechanical properties. Nat. Commun. 11, 1420 (2020).10.1038/s41467-020-15206-y ↗
17. Chow, T. S. The effect of particle shape on the mechanical properties of filled polymers. J. Mater. Sci. 15, 1873–1888 (1980).10.1007/BF00550613 ↗
18. Darr, J. A., Zhang, J., Makwana, N. M. & Weng, X. Continuous hydrothermal synthesis of inorganic nanoparticles: applications and future directions. Chem. Rev. 117, 11125–11238 (2017).10.1021/acs.chemrev.6b00417 ↗
19. Radzinski, S. C. et al. Tapered bottlebrush polymers: cone-shaped nanostructures by sequential addition of macromonomers. ACS Macro Lett. 6, 1175–1179 (2017).10.1021/acsmacrolett.7b00724 ↗
20. Walsh, D. J., Dutta, S., Sing, C. E. & Guironnet, D. Engineering of molecular geometry in bottlebrush polymers. Macromolecules 52, 4847–4857 (2019).10.1021/acs.macromol.9b00845 ↗
21. Shani, L. et al. DNA-assembled superconducting 3D nanoscale architectures. Nat. Commun. 11, 5697 (2020).10.1038/s41467-020-19439-9 ↗
22. Wang, Y. et al. A combined experimental and computational approach reveals how aromatic peptide amphiphiles self-assemble to form ion-conducting nanohelices. Mater. Chem. Front. 4, 3022–3031 (2020).10.1039/D0QM00369G ↗
23. Deshmukh, S. A., Solomon, L. A., Kamath, G., Fry, H. C. & Sankaranarayanan, S. K. R. S. Water ordering controls the dynamic equilibrium of micelle-fibre formation in self-assembly of peptide amphiphiles. Nat. Commun. 7, 12367 (2016).10.1038/ncomms12367 ↗
24. Li, Z. et al. Bottlebrush polymers: from controlled synthesis, self-assembly, properties to applications. Prog. Polym. Sci. 116, 101387 (2021).10.1016/j.progpolymsci.2021.101387 ↗
25. Foster, J. C., Varlas, S., Couturaud, B., Coe, Z. & O’Reilly, R. K. Getting into shape: reflections on a new generation of cylindrical nanostructures’ self-assembly using polymer building blocks. J. Am. Chem. Soc. 141, 2742–2753 (2019).10.1021/jacs.8b08648 ↗
26. Chremos, A. & Douglas, J. F. A comparative study of thermodynamic, conformational, and structural properties of bottlebrush with star and ring polymer melts. J. Chem. Phys. 149, 044904 (2018).10.1063/1.5034794 ↗
27. Zhao, B. Shape-changing bottlebrush polymers. J. Phys. Chem. B 125, 6373–6389 (2021).10.1021/acs.jpcb.1c01819 ↗
28. Kim, E. J. et al. Molecular weight dependent morphological transitions of bottlebrush block copolymer particles: experiments and simulations. ACS Nano 15, 5513–5522 (2021).10.1021/acsnano.1c00263 ↗
29. Bejagam, K. K., Singh, S. K., Ahn, R. & Deshmukh, S. A. Unraveling the conformations of backbone and side chains in thermosensitive bottlebrush polymers. Macromolecules 52, 9398–9408 (2019).10.1021/acs.macromol.9b01021 ↗
30. Walsh, D. J. & Guironnet, D. Macromolecules with programmable shape, size, and chemistry. Proc. Natl Acad. Sci. U.S.A. 116, 1538–1542 (2019).10.1073/pnas.1817745116 ↗
31. Theodorakis, P. E. & Fytas, N. G. Molecular dynamics simulations of bottle-brush polymers with a flexible backbone under theta and good solvent conditions. Am. J. Condens. Matter Phys. 2, 101–108 (2012).10.5923/j.ajcmp.20120204.05 ↗
32. Azzaroni, O., Brown, A. A. & Huck, W. T. S. UCST wetting transitions of polyzwitterionic brushes driven by self-association. Angew. Chem. Int. Ed. 118, 1802–1806 (2006).10.1002/ange.200503264 ↗
33. Xu, Y. et al. pH and salt responsive poly(N,N-dimethylaminoethyl methacrylate) cylindrical brushes and their quaternized derivatives. Polym. J. 49, 3957–3964 (2008).10.1016/j.polymer.2008.06.051 ↗
34. Henn, D. M., Holmes, J. A., Kent, E. W. & Zhao, B. Worm-to-sphere shape transition of thermoresponsive linear molecular bottlebrushes in moderately concentrated aqueous solution. J. Phys. Chem. B 122, 7015–7025 (2018).10.1021/acs.jpcb.8b04767 ↗
35. Buckwalter, J. A., Kuettner, K. E. & Thonar, E. J. Age-related changes in articular cartilage proteoglycans: electron microscopic studies. J. Orthop. Res. 3, 251–257 (1985).10.1002/jor.1100030301 ↗
36. Deshmukh, S. A., Sankaranarayanan, S. K. R. S., Suthar, K. & Mancini, D. C. Role of solvation dynamics and local ordering of water in inducing conformational transitions in poly(N-isopropylacrylamide) oligomers through the LCST. J. Phys. Chem. B 116, 2651–2663 (2012).10.1021/jp210788u ↗
37. Podewitz, M. et al. Coil-Globule Transition Thermodynamics of Poly(-isopropylacrylamide). J. Phys. Chem. B 123, 8838–8847 (2019).10.1021/acs.jpcb.9b06125 ↗
38. Li, X. et al. Thermoresponsive PNIPAAM bottlebrush polymers with tailored side-chain length and end-group structure. Soft Matter 10, 2008–2015 (2014).10.1039/c3sm52614c ↗
39. Radzinski, S. C., Foster, J. C., Lewis, S. E., French, E. V. & Matson, J. B. Factors affecting bottlebrush polymer synthesis by the transfer-to method using reversible addition–fragmentation chain transfer (RAFT) polymerization. Polym. Chem. 8, 1636–1643 (2017).10.1039/C6PY01982J ↗
40. Dalsin, S. J. et al. Bottlebrush block polymers: quantitative theory and experiments. ACS Nano 9, 12233–12245 (2015).10.1021/acsnano.5b05473 ↗
41. Chatterjee, D. & Vilgis, T. A. Scaling laws of bottle-brush polymers in dilute solutions. Macromol. Theory Simul. 25, 518–523 (2016).10.1002/mats.201600074 ↗
42. Joshi, S. Y. & Deshmukh, S. A. A review of advancements in coarse-grained molecular dynamics simulations. Mol. Sim. 47, 1–18 (2020).
43. Mohammadi, E., Joshi, S. Y. & Deshmukh, S. A. A review of computational studies of bottlebrush polymers. Comput. Mater. Sci. 199, 110720 (2021).10.1016/j.commatsci.2021.110720 ↗
44. Decherchi, S., Berteotti, A., Bottegoni, G., Rocchia, W. & Cavalli, A. The ligand binding mechanism to purine nucleoside phosphorylase elucidated via molecular dynamics and machine learning. Nat. Commun. 6, 6155 (2015).10.1038/ncomms7155 ↗
45. Riniker, S. Molecular dynamics fingerprints (MDFP): machine learning from MD data to predict free-energy differences. J. Chem. Inf. Model. 57, 726–741 (2017).10.1021/acs.jcim.6b00778 ↗
46. Karamzadeh, R. et al. Machine learning and network analysis of molecular dynamics trajectories reveal two chains of red/ox-specific residue interactions in human protein disulfide isomerase. Sci. Rep. 7, 3666 (2017).10.1038/s41598-017-03966-5 ↗
47. Kadupitiya, J. C. S., Sun, F., Fox, G. & Jadhao, V. Machine learning surrogates for molecular dynamics simulations of soft materials. J. Comput. Sci. 42, 101107 (2020).10.1016/j.jocs.2020.101107 ↗
48. Wang, J. & Ferguson, A. L. Nonlinear machine learning in simulations of soft and biological materials. Mol. Sim. 44, 1090–1107 (2018).10.1080/08927022.2017.1400164 ↗
49. Ferguson, A. L. Machine learning and data science in soft materials engineering. J. Phys. Condens. Matter 30, 043002 (2018).10.1088/1361-648X/aa98bd ↗
50. So, S., Mun, J. & Rho, J. Simultaneous inverse design of materials and structures via deep learning: demonstration of dipole resonance engineering using core-shell nanoparticles. ACS Appl. Mater. Interfaces 11, 24264–24268 (2019).10.1021/acsami.9b05857 ↗
51. Coli, G. M., Boattini, E., Filion, L. & Dijkstra, M. Inverse design of soft materials via a deep-learning-based evolutionary strategy. Sci. Adv. 8, eabj6731 (2022).10.1126/sciadv.abj6731 ↗
52. Swanson, K., Trivedi, S., Lequieu, J., Swanson, K. & Kondor, R. Deep learning for automated classification and characterization of amorphous materials. Soft Matter 16, 435–446 (2020).10.1039/C9SM01903K ↗
53. Bejagam, K. K., An, Y., Singh, S. & Deshmukh, S. A. Machine-learning enabled new insights into the coil-to-globule transition of thermosensitive polymers using a coarse-grained model. J. Phys. Chem. Lett. 9, 6480–6488 (2018).10.1021/acs.jpclett.8b02956 ↗
54. An, Y., Bejagam, K. K. & Deshmukh, S. A. Development of new transferable coarse-grained models of hydrocarbons. J. Phys. Chem. B 122, 7143–7153 (2018).10.1021/acs.jpcb.8b03822 ↗
55. An, Y., Bejagam, K. K. & Deshmukh, S. A. Development of transferable nonbonded interactions between coarse-grained hydrocarbon and water models. J. Phys. Chem. B 123, 909–921 (2019).10.1021/acs.jpcb.8b07990 ↗
56. Bejagam, K. K., Singh, S., An, Y., Berry, C. & Deshmukh, S. A. PSO-assisted development of new transferable coarse-grained water models. J. Phys. Chem. B 122, 1958–1971 (2018).10.1021/acs.jpcb.7b10542 ↗
57. Brassey, C. A., O’Mahoney, T. G., Chamberlain, A. T. & Sellers, W. I. A volumetric technique for fossil body mass estimation applied to Australopithecus afarensis. J. Hum. Evol. 115, 47–64 (2018).10.1016/j.jhevol.2017.07.014 ↗
58. Brassey, C. A. & Gardiner, J. D. An advanced shape-fitting algorithm applied to quadrupedal mammals: improving volumetric mass estimates. R. Soc. Open Sci. 2, 150302 (2015).10.1098/rsos.150302 ↗
59. Zawada, K. J. A., Dornelas, M. & Madin, J. S. Quantifying coral morphology. Coral Reefs 38, 1281–1292 (2019).10.1007/s00338-019-01842-4 ↗
60. Kapoor, U. & Jayaraman, A. Self-assembly of allomelanin dimers and the impact of poly(ethylene glycol) on the assembly: a molecular dynamics simulation study. J. Phys. Chem. B 124, 2702–2714 (2020).10.1021/acs.jpcb.0c00226 ↗
61. Gartner, T. E. III & Jayaraman, A. Modeling and simulations of polymers: a roadmap. Macromolecules 52, 755–786 (2019).10.1021/acs.macromol.8b01836 ↗
62. Joshi, S. Y., Singh, S., Bejagam, K. K. & Deshmukh, S. A. Dehydration of polymer chains initiates graphene folding in water. Carbon N. Y. 180, 244–253 (2021).10.1016/j.carbon.2021.05.009 ↗
63. Malod-Dognin, N. Protein structure comparison: from contact map overlap maximisation to distance-based alignment search tool. PhD thesis, University of Rennes (2010).
64. Emerson, I. A. & Amala, A. Protein contact maps: a binary depiction of protein 3D structures. Phys. A 465, 782–791 (2017).10.1016/j.physa.2016.08.033 ↗
65. Bhattacharya, S. & Bhattacharya, D. Evaluating the significance of contact maps in low-homology protein modeling using contact-assisted threading. Sci. Rep. 10, 2908 (2020).10.1038/s41598-020-59834-2 ↗
66. Yethiraj, A. A Monte Carlo simulation study of branched polymers. J. Chem. Phys. 125, 204901 (2006).10.1063/1.2374884 ↗
67. Rodgers, J. L. & Alan Nicewander, W. Thirteen ways to look at the correlation coefficient. Am. Stat. 42, 59 (1988).10.2307/2685263 ↗
68. Svergun, D. I. et al. Protein hydration in solution: experimental observation by x-ray and neutron scattering. Proc. Natl Acad. Sci. U.S.A. 95, 2267–2272 (1998).10.1073/pnas.95.5.2267 ↗
69. Franke, D. et al. ATSAS 2.8: a comprehensive data analysis suite for small-angle scattering from macromolecular solutions. J. Appl. Crystallogr. 50, 1212–1225 (2017).10.1107/S1600576717007786 ↗
70. Pesek, S. L., Li, X., Hammouda, B., Hong, K. & Verduzco, R. Small-angle neutron scattering analysis of bottlebrush polymers prepared via grafting-through polymerization. Macromolecules 46, 6998–7005 (2013).10.1021/ma401246b ↗
71. Kikhney, A. G. & Svergun, D. I. A practical guide to small angle X-ray scattering (SAXS) of flexible and intrinsically disordered proteins. FEBS Lett. 589, 2570–2577 (2015).10.1016/j.febslet.2015.08.027 ↗
72. Trulove, P. C. et al. The structure and dynamics of silk and cellulose dissolved in ionic liquids. ECS Trans. 16, 111–117 (2019).10.1149/1.3159315 ↗
73. Rambo, R. P. & Tainer, J. A. Characterizing flexible and intrinsically unstructured biological macromolecules by SAS using the Porod-Debye law. Biopolymers 95, 559–571 (2011).10.1002/bip.21638 ↗
74. Karplus, M. & Kushick, J. N. Method for estimating the configurational entropy of macromolecules. Macromolecules 14, 325–332 (1981).10.1021/ma50003a019 ↗
75. Levy, R. M., Karplus, M., Kushick, J. & Perahia, D. Evaluation of the configurational entropy for proteins: application to molecular dynamics simulations of an α-helix. Macromolecules 17, 1370–1374 (1984).10.1021/ma00137a013 ↗
76. Karplus, M., Ichiye, T. & Pettitt, B. M. Configurational entropy of native proteins. Biophys. J. 52, 1083–1085 (1987).10.1016/S0006-3495(87)83303-9 ↗
77. Chang, C.-E., Chen, W. & Gilson, M. K. Evaluating the accuracy of the quasiharmonic approximation. J. Chem. Theory Comput. 1, 1017–1028 (2005).10.1021/ct0500904 ↗
78. Schlitter, J. Estimation of absolute and relative entropies of macromolecules using the covariance matrix. Chem. Phys. Lett. 215, 617–621 (1993).10.1016/0009-2614(93)89366-P ↗
79. Roe, D. R. & Cheatham, T. E. 3rd PTRAJ and CPPTRAJ: software for processing and analysis of molecular dynamics trajectory data. J. Chem. Theory Comput. 9, 3084–3095 (2013).10.1021/ct400341p ↗
80. Watts, C. R., Gregory, A. J., Frisbie, C. P. & Lovas, S. Structural properties of amyloid β(1-40) dimer explored by replica exchange molecular dynamics simulations. Proteins 85, 1024–1045 (2017).10.1002/prot.25270 ↗
81. Drake, J. A. & Pettitt, B. M. Thermodynamics of conformational transitions in a disordered protein backbone model. Biophys. J. 114, 2799–2810 (2018).10.1016/j.bpj.2018.04.027 ↗
82. Deshmukh, S. A., Sankaranarayanan, S. K. R. & Mancini, D. C. Vibrational spectra of proximal water in a thermo-sensitive polymer undergoing conformational transition across the lower critical solution temperature. J. Phys. Chem. B 116, 5501–5515 (2012).10.1021/jp211831x ↗
83. Ahmed, Z., Gooding, E. A., Pimenov, K. V., Wang, L. & Asher, S. A. UV resonance raman determination of molecular mechanism of poly(N-isopropylacrylamide) Volume phase transition. J. Phys. Chem. B 113, 4248–4256 (2009).10.1021/jp810685g ↗
84. Sose, A. T. et al. Modelling drug adsorption in metal–organic frameworks: the role of solvent. RSC Adv. 11, 17064–17071 (2021).10.1039/D1RA01746B ↗
85. Singh, R. D., Mittal, A. & Bhatia, R. K. 3D convolutional neural network for object recognition: a review. Multimed. Tools. Appl. 78, 15951–15995 (2019).10.1007/s11042-018-6912-6 ↗
86. Maturana, D., Scherer, S. VoxNet: A 3D Convolutional Neural Network for real-time object recognition. IEEE Int. 922–928. https://ieeexplore.ieee.org/document/7353481 (2015).10.1109/IROS.2015.7353481 ↗
87. Garcia-Garcia, A. et al. PointNet: A 3D Convolutional Neural Network for real-time object class recognition. Proc. Int. Jt. Conf. Neural Netw. (IJCNN) 1578–1584. https://arxiv.org/abs/1612.00593 (2016).10.1109/IJCNN.2016.7727386 ↗
88. Lu, Y., Guo, Q., Lu, G. A Geometric Convolutional Neural Network for 3D Object Detection. IEEE Glob. Conf. Signal Inf. Process. Proc. 1–5. https://ieeexplore.ieee.org/document/8969077 (2019).10.1109/GlobalSIP45357.2019.8969077 ↗
89. Pang, G., Neumann, U. 3D point cloud object detection with multi-view convolutional neural network. Int. Conf. Pattern Recognit. 585–590. https://ieeexplore.ieee.org/document/7899697 (2016).10.1109/ICPR.2016.7899697 ↗
90. Singh, S. P. et al. 3D Deep Learning on Medical Images: A Review. Sensors 20, https://www.mdpi.com/1424-8220/20/18/5097 (2020).10.3390/s20185097 ↗
91. Razzak, M. I., Naz, S., Zaib, A. Deep learning for medical image processing: overview, challenges and the future. Lect. Notes Comput. Vis. Biomech. 323–350. https://link.springer.com/chapter/10.1007/978-3-319-65981-7_12 (2018).10.1007/978-3-319-65981-7_12 ↗
92. Li, H. M. Deep Learning for Image Denoising. Int. J. Signal Process. Image Process. Pattern Recognit. 7, 171–180 (2014).
93. Voulodimos, A., Doulamis, N., Doulamis, A. & Protopapadakis, E. Deep learning for computer vision: a brief review. Comput. Intell. Neurosci. 2018, 7068349 (2018).10.1155/2018/7068349 ↗
94. Ioannidou, A., Chatzilari, E., Nikolopoulos, S. & Kompatsiaris, I. Deep learning advances in computer vision with 3D data. ACM Comput. Surv. 50, 1–38 (2017).10.1145/3042064 ↗
95. Young, T., Hazarika, D., Poria, S. & Cambria, E. Recent trends in deep learning based natural language processing. IEEE Comput. Intell. Mag. 13, 55–75 (2018).10.1109/MCI.2018.2840738 ↗
96. Li, H. Deep learning for natural language processing: advantages and challenges. Natl Sci. Rev. 5, 24–26 (2018).10.1093/nsr/nwx110 ↗
97. Yamashita, R., Nishio, M., Do, R. K. G. & Togashi, K. Convolutional neural networks: an overview and application in radiology. Insights Imaging 9, 611–629 (2018).10.1007/s13244-018-0639-9 ↗
98. Ryan, K., Lengyel, J. & Shatruk, M. Crystal structure prediction via deep learning. J. Am. Chem. Soc. 140, 10158–10168 (2018).10.1021/jacs.8b03913 ↗
99. Danaee, P., Ghaeini, R. & Hendrix, D. A. A deep learning approach for cancer detection and relevant gene identification. Pac. Symp. Biocomput. 22, 219–229 (2017).
100. Uziela, K., Menéndez Hurtado, D., Shu, N., Wallner, B. & Elofsson, A. ProQ3D: improved model quality assessments using deep learning. Bioinformatics 33, 1578–1580 (2017).10.1093/bioinformatics/btw819 ↗