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From QM/MM to ML/MM: A new era in multiscale modeling
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Abstract
Hybrid machine-learning/molecular-mechanics (ML/MM) methods extend the classical QM/MM paradigm by replacing the quantum description with neural network interatomic potentials trained to reproduce accurately quantum-mechanical (QM) results. By describing only the chemically active region with ML and the surrounding environment with molecular mechanics (MM), ML/MM models achieve near-QM/MM fidelity at a fraction of the computational cost, enabling routine simulation of reaction mechanisms, vibrational spectra, and binding free energies in complex biological or condensed-phase environments. The key challenge lies in coupling the ML and MM regions, a task addressed through three main strategies: (1) mechanical embedding (ME), where ML regions interact with fixed MM charges via classical electrostatics; (2) polarization-corrected mechanical embedding (PCME), where a vacuum-trained ML potential is supplemented post hoc with electrostatic corrections; and (3) environment-integrated embedding (EIE), where ML potentials are trained with explicit inclusion of MM-derived fields, enhancing accuracy but requiring specialized data. Since ML/MM builds on the scaffolding of QM/MM, most proposed coupling strategies rely heavily on electrostatics, polarization, and other physicochemical concepts, and the development and analysis of ML/MM schemes sits naturally at the intersection of physical chemistry and modern data science. This review surveys the conceptual foundations of ML/MM schemes, classifies existing implementations, and highlights key applications and open challenges, providing a critical snapshot of the current state-of-the-art and positioning ML/MM not merely as a computational alternative but as the natural evolution of QM/MM toward data-driven, scalable multiscale modeling.
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Cites
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
Effect of the damping function in dispersion corrected density functional theory
Grimme, S., Ehrlich, S., & Goerigk, L. (2011) · Journal of Computational Chemistry · doi:10.1002/jcc.21759 · Cited by 28,221
Stephens, P. J., Devlin, F. J., Chabalowski, C. F., & Frisch, M. J. (1994) · The Journal of Physical Chemistry · doi:10.1021/j100096a001 · Cited by 23,248
Intermolecular interactions from a natural bond orbital, donor-acceptor viewpoint
Reed, A. E., Curtiss, L. A., & Weinhold, F. (1988) · Chemical Reviews · doi:10.1021/cr00088a005 · Cited by 17,359
Electronic Population Analysis on LCAO–MO Molecular Wave Functions. I
Mulliken, R. S. (1955) · The Journal of Chemical Physics · doi:10.1063/1.1740588 · Cited by 11,049
Bonded-atom fragments for describing molecular charge densities
Hirshfeld, F. L. (1977) · Theoretical Chemistry Accounts · doi:10.1007/bf00549096 · Cited by 6,996
Generalized Neural-Network Representation of High-Dimensional Potential-Energy Surfaces
Behler, J., & Parrinello, M. (2007) · Physical Review Letters · doi:10.1103/physrevlett.98.146401 · Cited by 5,010
Machine learning for molecular and materials science
Butler, K. T., Davies, D. W., Cartwright, H., Isayev, O., & Walsh, A. (2018) · Nature · doi:10.1038/s41586-018-0337-2 · Cited by 4,968
Breneman, C. M., & Wiberg, K. B. (1990) · Journal of Computational Chemistry · doi:10.1002/jcc.540110311 · Cited by 4,790
Warshel, A., & Levitt, M. (1976) · Journal of Molecular Biology · doi:10.1016/0022-2836(76)90311-9 · Cited by 4,479
Charge equilibration for molecular dynamics simulations
Rappé, A. K., & Goddard, W. A. (1991) · The Journal of Physical Chemistry · doi:10.1021/j100161a070 · Cited by 3,508
An approach to computing electrostatic charges for molecules
Singh, U. C., & Kollman, P. A. (1984) · Journal of Computational Chemistry · doi:10.1002/jcc.540050204 · Cited by 3,428
Atomic charges derived from semiempirical methods
Besler, B. H., Merz, K. M., & Kollman, P. A. (1990) · Journal of Computational Chemistry · doi:10.1002/jcc.540110404 · Cited by 3,321
Gaussian Approximation Potentials: The Accuracy of Quantum Mechanics, without the Electrons
Bartók, A. P., Payne, M. C., Kondor, R., & Csányi, G. (2010) · Physical Review Letters · doi:10.1103/physrevlett.104.136403 · Cited by 3,242
QM/MM Methods for Biomolecular Systems
Senn, H. M., & Thiel, W. (2009) · Angewandte Chemie International Edition · doi:10.1002/anie.200802019 · Cited by 2,684
On representing chemical environments
Bartók, A. P., Kondor, R., & Csányi, G. (2013) · Physical Review B · doi:10.1103/physrevb.87.184115 · Cited by 2,572
Deep Potential Molecular Dynamics: A Scalable Model with the Accuracy of Quantum Mechanics
Zhang, L., Han, J., Wang, H., Car, R., & Weinan, E. (2018) · Physical Review Letters · doi:10.1103/physrevlett.120.143001 · Cited by 2,393
E(3)-equivariant graph neural networks for data-efficient and accurate interatomic potentials
Batzner, S., Musaelian, A., Sun, L., Geiger, M., Mailoa, J. P., Kornbluth, M., Molinari, N., Smidt, T. E., & Kozinsky, B. (2022) · Nature Communications · doi:10.1038/s41467-022-29939-5 · Cited by 2,285
Wang, H., Zhang, L., Han, J., & Weinan, E. (2018) · Computer Physics Communications · doi:10.1016/j.cpc.2018.03.016 · Cited by 2,249
Porezag, D. V., Frauenheim, T., Köhler, T., Seifert, G., & Kaschner, R. (1995) · Physical review. B, Condensed matter · doi:10.1103/physrevb.51.12947 · Cited by 2,191
Case, D. A., Aktulga, H. M., Belfon, K., Cerutti, D. S., Cisneros, G. A., Cruzeiro, V. W. D., Forouzesh, N., Giese, T. J., Götz, A. W., Gohlke, H., et al. (2023) · Journal of Chemical Information and Modeling · doi:10.1021/acs.jcim.3c01153 · Cited by 2,089
Self-citationA generally applicable atomic-charge dependent London dispersion correction
Caldeweyher, E., Ehlert, S., Hansen, A., Neugebauer, H., Spicher, S., Bannwarth, C., & Grimme, S. (2019) · The Journal of Chemical Physics · doi:10.1063/1.5090222 · Cited by 2,080
ANI-1: an extensible neural network potential with DFT accuracy at force field computational cost
Smith, J. S., Isayev, O., & Roitberg, A. E. (2017) · Chemical Science · doi:10.1039/c6sc05720a · Cited by 1,921
Self-citationPlanning chemical syntheses with deep neural networks and symbolic AI
Segler, M. H. S., Preuss, M., & Waller, M. P. (2018) · Nature · doi:10.1038/nature25978 · Cited by 1,847
DFTB+, a Sparse Matrix-Based Implementation of the DFTB Method
Aradi, B., Hourahine, B., & Frauenheim, T. (2007) · The Journal of Physical Chemistry A · doi:10.1021/jp070186p · Cited by 1,695
Unke, O. T., Chmiela, S., Sauceda, H. E., Gastegger, M., Poltavsky, I., Schütt, K. T., Tkatchenko, A., & Müller, K.-R. (2021) · Chemical Reviews · doi:10.1021/acs.chemrev.0c01111 · Cited by 1,647
Current Status of the AMOEBA Polarizable Force Field
Ponder, J. W., Wu, C., Ren, P., Pande, V. S., Chodera, J. D., Schnieders, M. J., Haque, I., Mobley, D. L., Lambrecht, D. S., DiStasio, R. A., et al. (2010) · The Journal of Physical Chemistry B · doi:10.1021/jp910674d · Cited by 1,440
Molecular polarizabilities calculated with a modified dipole interaction
Thole, B. T. (1981) · Chemical Physics · doi:10.1016/0301-0104(81)85176-2 · Cited by 1,353
Gaussian Process Regression for Materials and Molecules
Deringer, V. L., Bartók, A. P., Bernstein, N., Wilkins, D. M., Ceriotti, M., & Cśanyi, G. (2021) · Chemical Reviews · doi:10.1021/acs.chemrev.1c00022 · Cited by 1,317
Hybrid Models for Combined Quantum Mechanical and Molecular Mechanical Approaches
Bakowies, D., & Thiel, W. (1996) · The Journal of Physical Chemistry · doi:10.1021/jp9536514 · Cited by 1,275
QM/MM: what have we learned, where are we, and where do we go from here?
Lin, H., & Truhlar, D. G. (2007) · Theoretical Chemistry Accounts · doi:10.1007/s00214-006-0143-z · Cited by 1,200
Fragmentation Methods: A Route to Accurate Calculations on Large Systems
Gordon, M. S., Fedorov, D. G., Pruitt, S. R., & Slipchenko, L. V. (2012) · Chemical Reviews · doi:10.1021/cr200093j · Cited by 1,106
PhysNet: A Neural Network for Predicting Energies, Forces, Dipole Moments, and Partial Charges
Unke, O. T., & Meuwly, M. (2019) · Journal of Chemical Theory and Computation · doi:10.1021/acs.jctc.9b00181 · Cited by 1,073
Marenich, A. V., Jerome, S. V., Cramer, C. J., & Truhlar, D. G. (2012) · Journal of Chemical Theory and Computation · doi:10.1021/ct200866d · Cited by 1,040
Zhang, Y., Wang, H., Chen, W., Zeng, J., Zhang, L., Wang, H., & Weinan, E. (2020) · Computer Physics Communications · doi:10.1016/j.cpc.2020.107206 · Cited by 1,033
Four Generations of High-Dimensional Neural Network Potentials
Behler, J. (2021) · Chemical Reviews · doi:10.1021/acs.chemrev.0c00868 · Cited by 873
Less is more: Sampling chemical space with active learning
Smith, J. S., Nebgen, B., Lubbers, N., Isayev, O., & Roitberg, A. E. (2018) · The Journal of Chemical Physics · doi:10.1063/1.5023802 · Cited by 811
Self-citationDeePMD-kit v2: A software package for deep potential models
Zeng, J., Zhang, D., Lu, D., Mo, P., Li, Z., Chen, Y., Rynik, M., Huang, L., Li, Z., Shi, S., et al. (2023) · The Journal of Chemical Physics · doi:10.1063/5.0155600 · Cited by 614
A Priori Evaluation of Aqueous Polarization Effects through Monte Carlo QM-MM Simulations
Gao, J., & Xia, X. (1992) · Science · doi:10.1126/science.1411573 · Cited by 576
OpenMM 8: Molecular Dynamics Simulation with Machine Learning Potentials
Eastman, P., Galvelis, R., Peláez, R. P., Abreu, C. R. A., Farr, S. E., Gallicchio, E., Gorenko, A., Henry, M. M., Hu, F., Huang, J., et al. (2024) · The Journal of Physical Chemistry B · doi:10.1021/acs.jpcb.3c06662 · Cited by 560
Molecular and Atomic Polarizabilities: Thole's Model Revisited
van Duijnen, P. T., & Swart, M. (1998) · The Journal of Physical Chemistry A · doi:10.1021/jp980221f · Cited by 537
C hem S hell—a modular software package for QM / MM simulations
Metz, S., Kästner, J., Sokol, A. A., Keal, T. W., & Sherwood, P. (2013) · Wiley Interdisciplinary Reviews Computational Molecular Science · doi:10.1002/wcms.1163 · Cited by 531
Brunk, E., & Rothlisberger, U. (2015) · Chemical Reviews · doi:10.1021/cr500628b · Cited by 494
The design space of E(3)-equivariant atom-centred interatomic potentials
Batatia, I., Batzner, S., Kovács, D. P., Musaelian, A., Simm, G. N. C., Drautz, R., Ortner, C., Kozinsky, B., & Cśanyi, G. (2025) · Nature Machine Intelligence · doi:10.1038/s42256-024-00956-x · Cited by 474
MACE-OFF: Short-Range Transferable Machine Learning Force Fields for Organic Molecules
Kovács, D. P., Moore, J. H., Browning, N. J., Batatia, I., Horton, J. T., Pu, Y., Kapil, V., Witt, W. C., Magdău, I.-B., Cole, D. J., et al. (2025) · Journal of the American Chemical Society · doi:10.1021/jacs.4c07099 · Cited by 464
Extending the Applicability of the ANI Deep Learning Molecular Potential to Sulfur and Halogens
Devereux, C., Smith, J. S., Huddleston, K. K., Barros, K., Zubatyuk, R., Isayev, O., & Roitberg, A. E. (2020) · Journal of Chemical Theory and Computation · doi:10.1021/acs.jctc.0c00121 · Cited by 441
Self-citationMachine Learning for Chemical Reactions
Meuwly, M. (2021) · Chemical Reviews · doi:10.1021/acs.chemrev.1c00033 · Cited by 437
Podryabinkin, E. V., Tikhonov, E. V., Shapeev, A. V., & Oganov, A. R. (2019) · Physical Review B · doi:10.1103/physrevb.99.064114 · Cited by 403
Exploring chemical compound space with quantum-based machine learning
von Lilienfeld, O. A., Müller, K.-R., & Tkatchenko, A. (2020) · Nature Reviews Chemistry · doi:10.1038/s41570-020-0189-9 · Cited by 369
Neural Network Potentials: A Concise Overview of Methods
Kocer, E., Ko, T. W., & Behler, J. (2022) · Annual Review of Physical Chemistry · doi:10.1146/annurev-physchem-082720-034254 · Cited by 351
Gao, X., Ramezanghorbani, F., Isayev, O., Smith, J. S., & Roitberg, A. E. (2020) · Journal of Chemical Information and Modeling · doi:10.1021/acs.jcim.0c00451 · Cited by 337
Self-citationTanabe, S., Ebata, T., Fujii, M., & Mikami, N. (1993) · Chemical Physics Letters · doi:10.1016/0009-2614(93)85726-5 · Cited by 316
Zubatyuk, R. I., Smith, J. S., Leszczyński, J., & Isayev, O. (2019) · Science Advances · doi:10.1126/sciadv.aav6490 · Cited by 300
MACE: Higher Order Equivariant Message Passing Neural Networks for Fast and Accurate Force Fields
Batatia, I., Kovács, D. P., Simm, G. N. C., Ortner, C., & Cśanyi, G. (2022) · arXiv (Cornell University) · doi:10.48550/arxiv.2206.07697 · Cited by 285
Deep learning methods in protein structure prediction
Torrisi, M., Pollastri, G., & Le, Q. (2020) · Computational and Structural Biotechnology Journal · doi:10.1016/j.csbj.2019.12.011 · Cited by 284
Minimal Basis Iterative Stockholder: Atoms in Molecules for Force-Field Development
Verstraelen, T., Vandenbrande, S., Heidar‐Zadeh, F., Vanduyfhuys, L., Speybroeck, V. V., Waroquier, M., & Ayers, P. W. (2016) · Journal of Chemical Theory and Computation · doi:10.1021/acs.jctc.6b00456 · Cited by 260
SPICE, A Dataset of Drug-like Molecules and Peptides for Training Machine Learning Potentials
Eastman, P. K., Behara, P. K., Dotson, D., Galvelis, R., Herr, J. E., Horton, J. T., Mao, Y., Chodera, J. D., Pritchard, B. P., Wang, Y., et al. (2023) · Scientific Data · doi:10.1038/s41597-022-01882-6 · Cited by 252
Data Generation for Machine Learning Interatomic Potentials and Beyond
Kulichenko, M., Nebgen, B. T., Lubbers, N., Smith, J. S., Barros, K. M., Allen, A. E. A., Habib, A., Shinkle, E., Fedik, N. S., Li, Y. W., et al. (2024) · Chemical Reviews · doi:10.1021/acs.chemrev.4c00572 · Cited by 216
Harrison, J. A., Schall, J. D., Maskey, S., Mikulski, P. T., Knippenberg, M. T., & Morrow, B. H. (2018) · Applied Physics Reviews · doi:10.1063/1.5020808 · Cited by 211
Heyden, A., Lin, H., & Truhlar, D. G. (2007) · The Journal of Physical Chemistry B · doi:10.1021/jp0673617 · Cited by 191
Machine learning of solvent effects on molecular spectra and reactions
Gastegger, M., Schütt, K. T., & Müller, K. (2021) · Chemical Science · doi:10.1039/d1sc02742e · Cited by 191
Spectroscopy in Complex Environments from QM–MM Simulations
Morzan, U. N., de Armiño, D. J. A., Foglia, N. O., Ramirez, F., Lebrero, M. C. G., Scherlis, D. A., & Estrin, D. A. (2018) · Chemical Reviews · doi:10.1021/acs.chemrev.8b00026 · Cited by 190
Self-citationHoja, J., Sandonas, L. M., Ernst, B. G., Vázquez‐Mayagoitia, Á., DiStasio, R. A., & Tkatchenko, A. (2021) · Scientific Data · doi:10.1038/s41597-021-00812-2 · Cited by 164
Zubatiuk, T. A., & Isayev, O. (2021) · Accounts of Chemical Research · doi:10.1021/acs.accounts.0c00868 · Cited by 158
Machine Learning in QM/MM Molecular Dynamics Simulations of Condensed-Phase Systems
Böselt, L., Thürlemann, M., & Riniker, S. (2021) · Journal of Chemical Theory and Computation · doi:10.1021/acs.jctc.0c01112 · Cited by 156
Biomolecular QM/MM Simulations: What Are Some of the “Burning Issues”?
Cui, Q., Pal, T., & Xie, L. (2021) · The Journal of Physical Chemistry B · doi:10.1021/acs.jpcb.0c09898 · Cited by 139
Cluster ion dip spectroscopy of hydrogen bonded phenol(H2O)n clusters, n=0–4
Stanley, R. J., & Castleman, A. W. (1991) · The Journal of Chemical Physics · doi:10.1063/1.460160 · Cited by 131
Winkler, D. A., & Le, T. C. (2016) · Molecular Informatics · doi:10.1002/minf.201600118 · Cited by 124
Machine-Learning-Assisted Free Energy Simulation of Solution-Phase and Enzyme Reactions
Pan, X., Yang, J., Van, R. S., Epifanovsky, E., Ho, J., Huang, J., Pu, J., Mei, Y., Nam, K., & Shao, Y. (2021) · Journal of Chemical Theory and Computation · doi:10.1021/acs.jctc.1c00565 · Cited by 118
Yu, Q., Qu, C., Houston, P. L., Conte, R., Nandi, A., & Bowman, J. M. (2022) · The Journal of Physical Chemistry Letters · doi:10.1021/acs.jpclett.2c00966 · Cited by 116
Zeng, J., Giese, T. J., Ekesan, Ş., & York, D. M. (2021) · Journal of Chemical Theory and Computation · doi:10.1021/acs.jctc.1c00201 · Cited by 112
Quantum chemical benchmark databases of gold-standard dimer interaction energies
Donchev, A., Taube, A. G., Decolvenaere, E., Hargus, C., McGibbon, R. T., Law, K.-H., Gregersen, B. A., Li, J.-L., Palmö, K., Siva, K., et al. (2021) · Scientific Data · doi:10.1038/s41597-021-00833-x · Cited by 108
Galvelis, R., Varela‐Rial, A., Doerr, S., Fino, R., Eastman, P. K., Markland, T. E., Chodera, J. D., & Fabritiis, G. D. (2023) · Journal of Chemical Information and Modeling · doi:10.1021/acs.jcim.3c00773 · Cited by 104
Rufa, D. A., Macdonald, H. E. B., Fass, J., Wieder, M., Grinaway, P., Roitberg, A. E., Isayev, O., & Chodera, J. D. (2020) · bioRxiv (Cold Spring Harbor Laboratory) · doi:10.1101/2020.07.29.227959 · Cited by 99
Self-citationSimulating protein–ligand binding with neural network potentials
Lahey, S.-L. J., & Rowley, C. N. (2020) · Chemical Science · doi:10.1039/c9sc06017k · Cited by 96
General and unique partitioning of molecular electronic properties into atomic contributions
Ciosłowski, J. (1989) · Physical Review Letters · doi:10.1103/physrevlett.62.1469 · Cited by 94
QM/MM simulation of liquid water with an adaptive quantum region
Bernstein, N., Várnai, C., Solt, I., Winfield, S., Payne, M. C., Simon, I., Fuxreiter, M., & Cśanyi, G. (2011) · Physical Chemistry Chemical Physics · doi:10.1039/c1cp22600b · Cited by 90
MLatom 3: A Platform for Machine Learning-Enhanced Computational Chemistry Simulations and Workflows
Dral, P. O., Ge, F., Hou, Y.-F., Zheng, P., Chen, Y., Barbatti, M., Isayev, O., Wang, C., Xue, B.-X., Pinheiro, M., et al. (2024) · Journal of Chemical Theory and Computation · doi:10.1021/acs.jctc.3c01203 · Cited by 85
Caramelli, D., Granda, J. M., Mehr, S. H. M., Cambié, D., Henson, A., & Cronin, L. (2021) · ACS Central Science · doi:10.1021/acscentsci.1c00435 · Cited by 82
Abbott, A. S., Turney, J. M., Zhang, B., Smith, D. G. A., Altarawy, D., & Schaefer, H. F. (2019) · Journal of Chemical Theory and Computation · doi:10.1021/acs.jctc.9b00312 · Cited by 80
Enhancing Protein–Ligand Binding Affinity Predictions Using Neural Network Potentials
Zariquiey, F. S., Galvelis, R., Gallicchio, E., Chodera, J. D., Markland, T. E., & Fabritiis, G. D. (2024) · Journal of Chemical Information and Modeling · doi:10.1021/acs.jcim.3c02031 · Cited by 56
Reaction dynamics of Diels–Alder reactions from machine learned potentials
Young, T. A., Johnston-Wood, T., Zhang, H., & Duarte, F. (2022) · Physical Chemistry Chemical Physics · doi:10.1039/d2cp02978b · Cited by 54
Electrostatic Embedding of Machine Learning Potentials
Zinovjev, K. (2023) · Journal of Chemical Theory and Computation · doi:10.1021/acs.jctc.2c00914 · Cited by 54
Quantitative Analysis of QM/MM Boundary Artifacts and Correction in Adaptive QM/MM Simulations.
Watanabe, H. C., & Cui, Q. (2019) · Journal of Chemical Theory and Computation · doi:10.1021/acs.jctc.9b00180 · Cited by 53
Inizan, T. J., Plé, T., Adjoua, O., Ren, P. Y., Gökcan, H., Isayev, O., Lagardère, L., & Piquemal, J. (2023) · Chemical Science · doi:10.1039/d2sc04815a · Cited by 52
Ramos‐Guzmán, C. A., Ruiz‐Pernía, J. J., & Tuñón, I. (2021) · Angewandte Chemie International Edition · doi:10.1002/anie.202110027 · Cited by 51
Lier, B., Poliak, P., Marquetand, P., Westermayr, J., & Oostenbrink, C. (2022) · The Journal of Physical Chemistry Letters · doi:10.1021/acs.jpclett.2c00654 · Cited by 51
Highly parallel optimisation of chemical reactions through automation and machine intelligence
Sin, J. W., Chau, S. L., Burwood, R. P., Püntener, K., Bigler, R., & Schwaller, P. (2025) · Nature Communications · doi:10.1038/s41467-025-61803-0 · Cited by 50
Lahey, S.-L. J., Từ, N. T. P., & Rowley, C. N. (2020) · Journal of Chemical Information and Modeling · doi:10.1021/acs.jcim.0c00904 · Cited by 49
de Hijes, P. M., Dellago, C., Jinnouchi, R., Schmiedmayer, B., & Kresse, G. (2024) · The Journal of Chemical Physics · doi:10.1063/5.0197105 · Cited by 49
Palos, E., Bull-Vulpe, E. F., Zhu, X., Agnew, H., Gupta, S., Saha, S., & Paesani, F. (2024) · Journal of Chemical Theory and Computation · doi:10.1021/acs.jctc.4c01005 · Cited by 48
del Cueto, M., Zhou, X., Zhou, L., Zhang, Y., Jiang, B., & Guo, H. (2020) · The Journal of Physical Chemistry C · doi:10.1021/acs.jpcc.9b10883 · Cited by 46
Molecular Dynamics Simulation of Zinc Ion in Water with an ab Initio Based Neural Network Potential
Xu, M., Zhu, T., & Zhang, J. Z. H. (2019) · The Journal of Physical Chemistry A · doi:10.1021/acs.jpca.9b04087 · Cited by 45
David, R., de la Puente, M., Gomez, A., Anton, O., Stirnemann, G., & Laage, D. (2024) · Digital Discovery · doi:10.1039/d4dd00209a · Cited by 42
Graph-convolutional neural networks for (QM)ML/MM molecular dynamics simulations
Hofstetter, A., Böselt, L., & Riniker, S. (2022) · Physical Chemistry Chemical Physics · doi:10.1039/d2cp02931f · Cited by 40
Ganscha, S., Unke, O. T., Ahlin, D., Maennel, H., Kashubin, S., & Müller, K. (2025) · Scientific Data · doi:10.1038/s41597-025-04720-7 · Cited by 40
Vant, J., Lahey, S.-L. J., Jana, K., Shekhar, M., Sarkar, D., Munk, B. H., Kleinekathöfer, U., Mittal, S., Rowley, C. N., & Singharoy, A. (2020) · Journal of Chemical Information and Modeling · doi:10.1021/acs.jcim.9b01167 · Cited by 38
Zinovjev, K., Hedges, L. O., Andreu, R. M., Woods, C. J., Tuñón, I., & van der Kamp, M. W. (2024) · Journal of Chemical Theory and Computation · doi:10.1021/acs.jctc.4c00248 · Cited by 37
Tamura, S., Miyao, T., & Bajorath, J. (2023) · Journal of Cheminformatics · doi:10.1186/s13321-022-00676-7 · Cited by 35
How Accurate Are QM/MM Models?
Ho, J., Yu, H. B., Shao, Y., Taylor, M., & Chen, J. (2024) · The Journal of Physical Chemistry A · doi:10.1021/acs.jpca.4c06521 · Cited by 35
An efficient water force field calibrated against intermolecular THz and Raman spectra
Sidler, D., Meuwly, M., & Hamm, P. M. (2018) · The Journal of Chemical Physics · doi:10.1063/1.5037062 · Cited by 33
A machine learning based intramolecular potential for a flexible organic molecule
Cole, D. J., Mones, L., & Cśanyi, G. (2020) · Faraday Discussions · doi:10.1039/d0fd00028k · Cited by 33
PhysNet meets CHARMM: A framework for routine machine learning/molecular mechanics simulations
Song, K., Käser, S., Töpfer, K., Vazquez-Salazar, L. I., & Meuwly, M. (2023) · The Journal of Chemical Physics · doi:10.1063/5.0155992 · Cited by 33
Assessment of Embedding Schemes in a Hybrid Machine Learning/Classical Potentials (ML/MM) Approach
Grassano, J. S., Pickering, I., Roitberg, A. E., Lebrero, M. C. G., Estrin, D. A., & Semelak, J. A. (2024) · Journal of Chemical Information and Modeling · doi:10.1021/acs.jcim.4c00478 · Cited by 33
Self-citationMolecular quantum chemical data sets and databases for machine learning potentials
Ullah, A., Chen, Y., & Dral, P. O. (2024) · Machine Learning Science and Technology · doi:10.1088/2632-2153/ad8f13 · Cited by 32
Marcolongo, J. P., Zeida, A., Semelak, J. A., Foglia, N. O., Morzan, U. N., Estrin, D. A., Lebrero, M. C. G., & Scherlis, D. A. (2018) · Frontiers in Chemistry · doi:10.3389/fchem.2018.00070 · Cited by 31
Self-citationApplication of machine learning interatomic potentials in heterogeneous catalysis
Olajide, G., Baral, K., Ezendu, S., Soyemi, A., & Szilvási, T. (2025) · Journal of Catalysis · doi:10.1016/j.jcat.2025.116202 · Cited by 29
Learning QM/MM potential using equivariant multiscale model
Lei, Y.-K., Yagi, K., & Sugita, Y. (2024) · The Journal of Chemical Physics · doi:10.1063/5.0205123 · Cited by 27
Karwounopoulos, J., Bieniek, M., Wu, Z., Baskerville, A. L., König, G., Cossins, B. P., & Wood, G. P. F. (2025) · Journal of Chemical Theory and Computation · doi:10.1021/acs.jctc.4c01427 · Cited by 27
Advancing Multiscale Molecular Modeling with Machine Learning-Derived Electrostatics
Semelak, J. A., Pickering, I., Huddleston, K. K., Olmos, J., Grassano, J. S., Clemente, C. M., Drusin, S. I., Marti, M. A., Lebrero, M. C. G., Roitberg, A. E., et al. (2025) · Journal of Chemical Theory and Computation · doi:10.1021/acs.jctc.4c01792 · Cited by 27
Self-citationTöpfer, K., Käser, S., & Meuwly, M. (2022) · Physical Chemistry Chemical Physics · doi:10.1039/d2cp01583h · Cited by 25
Mazzeo, P., Cignoni, E., Arcidiacono, A., Cupellini, L., & Mennucci, B. (2024) · Digital Discovery · doi:10.1039/d4dd00295d · Cited by 25
Pultar, F., Thürlemann, M., Gordiy, I., Doloszeski, E., & Riniker, S. (2025) · Journal of the American Chemical Society · doi:10.1021/jacs.4c17015 · Cited by 25
Song, G., & Yang, W. (2025) · Journal of Chemical Theory and Computation · doi:10.1021/acs.jctc.5c00372 · Cited by 24
Zhou, B., Zhou, Y., & Xie, D. (2023) · Journal of Chemical Theory and Computation · doi:10.1021/acs.jctc.2c01131 · Cited by 23
Simulating enzyme catalysis with electrostatically embedded machine learning potentials
Gradisteanu, V., Chan, E. W., Hedges, L. O., Malagarriga, M., David, R., de la Puente, M., Laage, D., Tuñón, I., van der Kamp, M. W., & Zinovjev, K. (2026) · Chemical Science · doi:10.1039/d6sc01156j · Cited by 21
Thodika, A. R. A., Pan, X., Shao, Y., & Nam, K. (2025) · Journal of Chemical Theory and Computation · doi:10.1021/acs.jctc.4c01487 · Cited by 20
Xu, M., Zhu, T., & Zhang, J. Z. H. (2021) · Frontiers in Chemistry · doi:10.3389/fchem.2021.692200 · Cited by 19
QuantumBind-RBFE: Accurate Relative Binding Free Energy Calculations Using Neural Network Potentials
Zariquiey, F. S., Farr, S. E., Doerr, S. H., & Fabritiis, G. D. (2025) · Journal of Chemical Information and Modeling · doi:10.1021/acs.jcim.5c00033 · Cited by 19
Novel Lennard-Jones Parameters for Cysteine and Selenocysteine in the AMBER Force Field
Pedron, F. N., Messias, A., Zeida, A., Roitberg, A. E., & Estrin, D. A. (2023) · Journal of Chemical Information and Modeling · doi:10.1021/acs.jcim.2c01104 · Cited by 18
Self-citationDP/MM: A Hybrid Model for Zinc–Protein Interactions in Molecular Dynamics
Ding, Y., & Huang, J. (2024) · The Journal of Physical Chemistry Letters · doi:10.1021/acs.jpclett.3c03158 · Cited by 18
Tayfuroğlu, Ö., Kocak, A., & Zorlu, Y. (2025) · Langmuir · doi:10.1021/acs.langmuir.4c04578 · Cited by 17
Wang, X., Wu, X., Brooks, B. R., & Wang, J. (2025) · Journal of Chemical Theory and Computation · doi:10.1021/acs.jctc.5c00598 · Cited by 17
Snyder, R., Kim, B., Pan, X., Shao, Y., & Pu, J. (2022) · Physical Chemistry Chemical Physics · doi:10.1039/d2cp02820d · Cited by 16
Morado, J., Mortenson, P. N., Nissink, J. W. M., Essex, J. W., & Skylaris, C. (2023) · Journal of Chemical Information and Modeling · doi:10.1021/acs.jcim.2c01510 · Cited by 15
Neeser, R. M., Isert, C., Stuyver, T., Schneider, G., & Coley, C. W. (2023) · Chemical Data Collections · doi:10.1016/j.cdc.2023.101040 · Cited by 15
Modeling Enzyme Reaction and Mutation by Direct Machine Learning/Molecular Mechanics Simulations
Sha, X., Chen, Z., Xie, D., & Zhou, Y. (2025) · Journal of Chemical Theory and Computation · doi:10.1021/acs.jctc.5c00149 · Cited by 15
Huang, Y., Hou, Y.-F., & Dral, P. O. (2025) · Machine Learning Science and Technology · doi:10.1088/2632-2153/adeb46 · Cited by 15
Töpfer, K., Vazquez-Salazar, L. I., & Meuwly, M. (2024) · Computer Physics Communications · doi:10.1016/j.cpc.2024.109446 · Cited by 14
Alchemical Free-Energy Calculations at Quantum-Chemical Precision
Crha, R., Poliak, P., Gillhofer, M., & Oostenbrink, C. (2025) · The Journal of Physical Chemistry Letters · doi:10.1021/acs.jpclett.4c03213 · Cited by 14
Multiscale Force Field Model Based on a Graph Neural Network for Complex Chemical Systems
Xie, Z., Li, Y., Xia, Y., Zhang, J., Yuan, S., Fan, C., Yang, Y., & Gao, Y. Q. (2025) · Journal of Chemical Theory and Computation · doi:10.1021/acs.jctc.4c01449 · Cited by 14
Lei, Y.-K., Yagi, K., & Sugita, Y. (2025) · Journal of Chemical Theory and Computation · doi:10.1021/acs.jctc.4c01393 · Cited by 13
Ding, Y., & Huang, J. (2024) · International Journal of Molecular Sciences · doi:10.3390/ijms25031448 · Cited by 12
ANI/EFP: Modeling Long-Range Interactions in ANI Neural Network with Effective Fragment Potentials
Haghiri, S., Rojas, C. V., Bhat, S., Isayev, O., & Slipchenko, L. V. (2024) · Journal of Chemical Theory and Computation · doi:10.1021/acs.jctc.4c01052 · Cited by 12
Enhancing Machine Learning Potentials through Transfer Learning across Chemical Elements
Röcken, S., & Zavadlav, J. (2025) · Journal of Chemical Information and Modeling · doi:10.1021/acs.jcim.5c00293 · Cited by 12
Doubly Polarized QM/MM with Machine Learning Chaperone Polarizability
Kim, B., Shao, Y., & Pu, J. (2021) · Journal of Chemical Theory and Computation · doi:10.1021/acs.jctc.1c00567 · Cited by 11
The OpenMMPol library for polarizable QM/MM calculations of properties and dynamics
Bondanza, M., Nottoli, T., Nottoli, M., Cupellini, L., Lipparini, F., & Mennucci, B. (2024) · The Journal of Chemical Physics · doi:10.1063/5.0198251 · Cited by 11
Enhancing Electrostatic Embedding for ML/MM Free Energy Calculations
Morado, J., Zinovjev, K., Hedges, L. O., Cole, D. J., & Michel, J. (2025) · Journal of Chemical Theory and Computation · doi:10.1021/acs.jctc.5c01464 · Cited by 10
Zinovjev, K., & Curutchet, C. (2025) · The Journal of Physical Chemistry Letters · doi:10.1021/acs.jpclett.4c02949 · Cited by 9
Performance Comparisons of NequIP and DPMD Machine Learning Interatomic Potentials for Tobermorites
Zhu, K. (2024) · Computational Materials Science · doi:10.1016/j.commatsci.2024.113212 · Cited by 8
TorchANI-Amber: Bridging Neural Network Potentials and Classical Biomolecular Simulations
Pickering, I., Semelak, J. A., Xue, J., & Roitberg, A. E. (2025) · The Journal of Physical Chemistry B · doi:10.1021/acs.jpcb.5c05725 · Cited by 8
Self-citationHydration dynamics and IR spectroscopy of 4-fluorophenol
Salehi, S. M., Käser, S., Töpfer, K., Diamantis, P., Pfister, R., Hamm, P. M., Röthlisberger, U., & Meuwly, M. (2022) · Physical Chemistry Chemical Physics · doi:10.1039/d2cp02857c · Cited by 7
Transferring chemical and energetic knowledge between molecular systems with machine learning
Heydari, S., Raniolo, S., Livi, L., & Limongelli, V. (2023) · Communications Chemistry · doi:10.1038/s42004-022-00790-5 · Cited by 6
Novel machine learning insights into the QM7b and QM9 quantum mechanics datasets
Valdés, J. J., & Tchagang, A. (2024) · Journal of Computational Chemistry · doi:10.1002/jcc.27295 · Cited by 6
Computational chemistry review article
Zhuo, Y. (2024) · Applied and Computational Engineering · doi:10.54254/2755-2721/61/20240980 · Cited by 3
The Concept of the Potential Energy Surface
LEWARS, E. G. (2024) · Springer eBooks · doi:10.1007/978-3-031-51443-2_2 · Cited by 1
Research works printed but not linked: 8
- 2008, Quantum Chemistry
- F. S. Zariquiey , S. E.Farr, S.Doerr, and G.De Fabritiis, arXiv:2501.01811 (2025). · arXiv
- D. S. Levine , M.Shuaibi, E. W. C.Spotte-Smith, M. G.Taylor, M. R.Hasyim, K.Michel, I.Batatia, G.Csányi, M.Dzamba, P.Eastman, arXiv:2505.08762 (2025). · arXiv
- 2025, ChemRxiv, 10.26434/chemrxiv-2025-j0b7s-v2 · DOI
- 2005, Valency and Bonding: A Natural Bond Orbital Donor-Acceptor Perspective
- 2018, Adv. Neural Inf. Process Syst., 31, 4436
- 2025, ChemRxiv, 10.26434/chemrxiv-2025-ktjh4-v3 · DOI
- 2025, ChemRxiv, 10.26434/chemrxiv-2025-nw9lt · DOI
Metadata
- Authors
- Grassano, J. S., Pickering, I., Roitberg, A. E., Estrin, D. A., & Semelak, J. A.
- Affiliations
- Consejo Nacional de Investigaciones Científicas y Técnicas (AR)
- University of Florida (US)
- CONICET—Universidad de Buenos Aires, Instituto de Química-Física de los Materiales, Medio Ambiente y Energía (INQUIMAE), Ciudad Universitaria 2 , Pabellón 2, C1428EHA Buenos Aires,
- Corresponding author
- Semelak, Jonathan A.
- ORCID
- Venue
- Chemical Physics Reviews
- Publisher
- AIP Publishing
- Published
- 2025-11-10
- Volume
- 6
- Issue
- 4
- ISSN
- 2688-4070 (ISSN-L)
- OpenAlex
- W4416088803
- Cited by
- 20
- References
- 146
- Citations by year
- 2026: 19 · 2025: 1
- FWCI
- 4.22
- Type
- journal article
- Language
- en
- Open access
- diamond
- doi.org
- Locations
- Chemical Physics Reviews (publishedVersion)
- ChemRxiv (acceptedVersion, cc-by)
- Funders
- Agencia Nacional de Promoción de la Investigación, el Desarrollo Tecnológico y la Innovación (PICT 2020-01828)
- Secretaría de Ciencia y Técnica, Universidad de Buenos Aires (UBACYT 20020220200002BA)
- Consejo Nacional de Investigaciones Científicas y Técnicas (11220200102757CO)
- National Science Foundation (Award OAC-2311632)
- Topics
- Physical Sciences › Materials Science › Materials Chemistry › Machine Learning in Materials Science
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Advanced Chemical Physics Studies
- Life Sciences › Pharmacology, Toxicology and Pharmaceutics › Drug Discovery › Computational Drug Discovery Methods
- Keywords
- QM/MM, neural network interatomic potentials, multiscale modeling, electrostatic embedding, reaction mechanism, binding free energy, vibrational spectra
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
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Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.