Abstract
Molecular dynamics simulations based on adaptive QM/MM methods feature on-the-fly reclassifications of atoms and molecular groups as either QM or MM without causing abrupt changes in the trajectory propagations, thus allowing QM subsystems to automatically change over time. Such treatments are not possible in the framework of conventional QM/MM, where the QM and MM partitions are predetermined and immutable throughout the simulation. The present contribution reviews the recent progress in the adaptive QM/MM algorithms developed by ourselves and our collaborators, namely the family of adaptive-partitioning (AP) schemes. Initially developed for the studies of solvated ions and molecules, AP methods have been extended to model large molecules, such as biopolymers, to monitor the exchange of solvent molecules between a protein active site and the bulk solvent, and to describe proton hopping in water via the Grotthuss mechanism.
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Abbreviations
- AP:
-
Adaptive-partitioning
- BEST:
-
Boundary-based-on-exchange-symmetry-theory
- BZ:
-
Buffer zone
- CG:
-
Coarse-grained
- DAS:
-
Difference-based adaptive solvation
- EEMB:
-
Electrostatically embedded many-body expansion
- FIRES:
-
Flexible inner region ensemble separator
- MD:
-
Molecular dynamics
- MM:
-
Molecular-mechanics
- mPAP:
-
Modified permuted adaptive-partitioning
- NVE :
-
Microcanonical ensemble
- NVT :
-
Canonical ensemble
- ONIOM-XS:
-
Our own n-layered integrated molecular orbital and molecular mechanics-exchange of solvent
- QM:
-
Quantum-mechanics
- QM/MM:
-
Combined quantum-mechanics/molecular mechanics
- QM/MM-LPS:
-
Combined quantum-mechanics/molecular mechanics with large primary-subsystem
- PAP:
-
Permuted adaptive-partitioning
- PS:
-
Primary subsystem
- RC:
-
Redistributed charge
- RCD:
-
Redistributed charge and dipole
- SAP:
-
Sorted adaptive-partitioning
- SCMP:
-
Size-consistent multi-partitioning
- SS:
-
Secondary subsystem
References
Warshel A, Levitt M (1976) Theoretical studies of enzymic reactions: Dielectric, electrostatic and steric stabilization of the carbonium ion in the reaction of lysozyme. J Mol Biol 103:227–249
Singh UC, Kollmann PA (1986) A combined ab initio quantum mechanical and molecular mechanical method for carrying out simulations on complex molecular systems: Applications to the CH3Cl + Cl– exchange reaction and gas phase protonation of polyethers. J Comput Chem 7:718–730
Field MJ, Bash PA, Karplus M (1990) A combined quantum mechanical and molecular mechanical potential for molecular dynamics simulations. J Comput Chem 11:700–733
Gao J (1996) Methods and applications of combined quantum mechanical and molecular mechanical potentials. Rev Comput Chem 7:119–185
Mordasini T, Thiel W (1998) Computational chemistry column. Combined quantum mechanical and molecular approaches. Chimia 52:288–291
Hillier IH (1999) Chemical reactivity studied by hybrid QM/MM methods. Theochem 463:45–52
Monard G, Merz KM Jr (1999) Combined quantum mechanical/molecular mechanical methodologies applied to biomolecular systems. Acc Chem Res 32:904–911
Hammes-Schiffer S (2000) Theoretical perspectives on proton-coupled electron transfer reactions. Acc Chem Res 34:273–281
Sherwood P (2000): Hybrid quantum mechanics/molecular mechanics approaches. In: Grotendorst J (ed) Modern methods and algorithms of quantum chemistry, vol 3. John von Neumann-Institute, Ho Chi Minh, pp 285–305
Gao J, Truhlar DG (2002) Quantum mechanical methods for enzyme kinetics. Annu Rev Phys Chem 53:467–505
Morokuma K (2002) New challenges in quantum chemistry: quests for accurate calculations for large molecular systems. Philos Trans R Soc Lond, Ser A 360:1149–1164
Riccardi D, Schaefer P, Yang Y, Yu H, Ghosh N, Prat-Resina X, König P, Li G, Xu D, Guo H et al (2006) Development of effective quantum mechanical/molecular mechanical (QM/MM) methods for complex biological process. J Phys Chem B 110:6458–6469
Lin H, Truhlar DG (2007) QM/MM: What have we learned, where are we, and where do we go from here? Theor Chem Acc 117:185–199
Senn HM, Thiel W (2007) QM/MM methods for biological systems. Top Curr Chem 268:173–290
Hu H, Yang W (2008) Free energies of chemical reactions in solution and in enzymes with ab initio quantum mechanics/molecular mechanics methods. Annu Rev Phys Chem 59:573–601
Sherwood P, Brooks BR, Sansom MSP (2008) Multiscale methods for macromolecular simulations. Curr Opin Struct Biol 18:630–640
Bernstein N, Kermode JR, Csányi G (2009) Hybrid atomistic simulation methods for materials systems. Rep Progr Phys 72:026501/1–25
Senn HM, Thiel W (2009) QM/MM methods for biomolecular systems. Angew Chem Int Ed 48:1198–1229
Acevedo O, Jorgensen WL (2010) Advances in quantum and molecular mechanical (QM/MM) simulations for organic and enzymatic reactions. Acc Chem Res 43:142–151
Sabin JR, Brändas E (eds) (2010) Combining quantum mechanics and molecular mechanics. Some recent progresses in QM/MM methods. Academic Press, New York
Yohsuke H, Masaru T (2010) Recent advances in jointed quantum mechanics and molecular mechanics calculations of biological macromolecules: schemes and applications coupled to ab initio calculations. J Phys: Condens Matter 22:413101/1–7
Ferrer S, Ruiz-Pernia J, Marti S, Moliner V, Tunon I, Bertran J, Andres J (2011) Hybrid schemes based on quantum mechanics/molecular mechanics simulations: Goals to success, problems, and perspectives. In Christov C (ed) Advances in protein chemistry and structural biology, vol 85: computational chemistry methods in structural biology. Advances in protein chemistry and structural biology, vol 85. Elsevier Academic Press Inc, New York, pp 81–142
Menikarachchi LC, Gascon JA (2010) QM/MM approaches in medicinal chemistry research. Curr Top Med Chem 10:46–54
Wallrapp FH, Guallar V (2011) Mixed quantum mechanics and molecular mechanics methods: looking inside proteins. Wiley Interdiscip Rev: Comput Mol Sci 1:315–322
Woodcock HL, Miller BT, Hodoscek M, Okur A, Larkin JD, Ponder JW, Brooks BR (2011) MSCALE: a general utility for multiscale modeling. J Chem Theory Comput 7:1208–1219
Chung LW, Hirao H, Li X, Morokuma K (2012) The ONIOM method: its foundation and applications to metalloenzymes and photobiology. Wiley Interdiscip Rev: Comput Mol Sci 2:327–350
Keil FJ (2012) Multiscale modelling in computational heterogeneous catalysis. In Kirchner B, Vrabec J (eds) Multiscale molecular methods in applied chemistry. Topics in current chemistry, vol 307. Springer, Berlin, pp 69–107
Lonsdale R, Harvey JN, Mulholland AJ (2012) A practical guide to modelling enzyme-catalysed reactions. Chem Soc Rev 41:3025–3038
Monari A, Rivail J-L, Assfeld X (2012) Theoretical modeling of large molecular systems. Advances in the local self consistent field method for mixed quantum mechanics/molecular mechanics calculations. Acc Chem Res 46:596–603
Site L, Holm C, Vegt NA (2012) Multiscale approaches and perspectives to modeling aqueous electrolytes and polyelectrolytes. In: Kirchner B, Vrabec J (eds) Multiscale molecular methods in applied chemistry. Topics in current chemistry, vol 307. Springer, Berlin, pp 251–294
Wu R, Cao Z, Zhang Y (2012) Computational simulations of zinc enzyme: challenges and recent advances. Progr Chem 24:1175–1184
Mennucci B (2013) Modeling environment effects on spectroscopies through QM/classical models. Phys Chem Chem Phys 15:6583–6594
Kussmann J, Beer M, Ochsenfeld C (2013) Linear-scaling self-consistent field methods for large molecules. Wiley Interdiscip Rev: Comput Mol Sci 3:614–636
Meier K, Choutko A, Dolenc J, Eichenberger AP, Riniker S, van Gunsteren WF (2013) Multi-resolution simulation of biomolecular systems: a review of methodological issues. Angew Chem Int Ed 52:2820–2834
van der Kamp MW, Mulholland AJ (2013) Combined quantum mechanics/molecular mechanics (QM/MM) methods in computational enzymology. Biochemistry 52:2708–2728
Pezeshki S, Lin H (2014) Recent developments in QM/MM methods towards open-boundary multi-scale simulations. Mol Simul 41:168–189
Rode BM, Schwenk CF, Hofer TS, Randolf BR (2005) Coordination and ligand exchange dynamics of solvated metal ions. Coord Chem Rev 249:2993–3006
Yockel S, Schatz G (2012) Dynamic QM/MM: a hybrid approach to simulating gas-liquid interactions. In: Kirchner B, Vrabec J (eds) Multiscale molecular methods in applied chemistry. Topics in current chemistry, vol 307. Springer, Berlin, pp 43–67
Allen C, McCann BW, Acevedo O (2014) Ionic liquid effects on nucleophilic aromatic substitution reactions from QM/MM simulations. J Phys Chem B
Car R, Parrinello M (1985) Unified approach for molecular dynamics and density-functional theory. Phys Rev Lett 55:2471–2474
Woo TK, Cavallo L, Ziegler T (1998) Implementation of the IMOMM methodology for performing combined QM/MM molecular dynamics simulations and frequency calculations. Theor Chem Acc 100:307–313
Eichinger M, Tavan P, Hutter J, Parrinello M (1999) A hybrid method for solutes in complex solvents: density functional theory combined with empirical force fields. J Chem Phys 110:10452–10467
Woo TK, Margl PM, Deng L, Cavallo L, Ziegler T (1999) Combined QM/MM and ab initio molecular dynamics modeling of homogeneous catalysis. ACS Symp Ser 721:173–186
Röthlisberger U, Carloni P, Doclo K, Parrinello M (2000) A comparative study of galactose oxidase and active site analogs based on QM/MM Car-Parrinello simulations. J Biol Inorg Chem 5:236–250
Woo TK, Blöchl PE, Ziegler T (2000) Towards solvation simulations with a combined ab initio molecular dynamics and molecular mechanics approach. Theochem 506:313–334
Colombo MC, Guidoni L, Laio A, Magistrato A, Maurer P, Piana S, Rohrig U, Spiegel K, Sulpizi M, VandeVondele J et al (2002) Hybrid QM/MM Car-Parrinello simulations of catalytic and enzymatic reactions. Chimia 56:13–19
Laio A, VandeVondele J, Röthlisberger U (2002) A Hamiltonian electrostatic coupling scheme for hybrid Car-Parrinello molecular dynamics simulations. J Chem Phys 116:6941–6947
Woo TK, Margl P, Blochl PE, Ziegler T (2002) Sampling phase space by a combined QM/MM ab initio Car-Parrinello molecular dynamics method with different (multiple) time steps in the quantum mechanical (QM) and molecular mechanical (MM) domains. J Phys Chem A 106:1173–1182
Sulpizi M, Laio A, VandeVondele J, Cattaneo A, Röthlisberger U, Carloni P (2003) Reaction mechanism of caspases: insights from QM/MM Ca-Parrinello simulations. Proteins: Struct, Function, Genet 52:212–224
Raugei S, Cascella M, Carloni P (2004) A proficient enzyme: insights on the mechanism of orotidine monophosphate decarboxylase from computer simulations. J Am Chem Soc 126:15730–15737
Laino T, Mohamed F, Laio A, Parrinello M (2006) An efficient linear-scaling electrostatic coupling for treating periodic boundary conditions in QM/MM simulations. J Chem Theory Comput 2:1370–1378
Kerdcharoen T, Liedl KR, Rode BM (1996) A QM/MM simulation method applied to the solution of Li+ in liquid ammonia. Chem Phys 211:313–323
Kerdcharoen T, Morokuma K (2002) ONIOM-XS: an extension of the ONIOM method for molecular simulation in condensed phase. Chem Phys Lett 355:257–262
Kerdcharoen T, Morokuma K (2003) Combined quantum mechanics and molecular mechanics simulation of Ca2+/ammonia solution based on the ONIOM-XS method: Octahedral coordination and implication to biology. J Chem Phys 118:8856–8862
Heyden A, Lin H, Truhlar DG (2007) Adaptive partitioning in combined quantum mechanical and molecular mechanical calculations of potential energy functions for multiscale simulations. J Phys Chem B 111:2231–2241
Bulo RE, Ensing B, Sikkema J, Visscher L (2009) Toward a practical method for adaptive QM/MM simulations. J Chem Theory Comput 5:2212–2221
Guthrie MG, Daigle AD, Salazar MR (2009) Properties of a method for performing adaptive, multilevel QM simulations of complex chemical reactions in the gas-phase. J Chem Theory Comput 6:18–25
Nielsen SO, Bulo RE, Moore PB, Ensing B (2010) Recent progress in adaptive multiscale molecular dynamics simulations of soft matter. Phys Chem Chem Phys 12:12401–12414
Poma AB, Delle Site L (2010) Classical to path-integral adaptive resolution in molecular simulation: towards a smooth quantum-classical coupling. Phys Rev Lett 104:250201/1–4
Pezeshki S, Lin H (2011) Adaptive-partitioning redistributed charge and dipole schemes for QM/MM dynamics simulations: on-the-fly relocation of boundaries that pass through covalent bonds. J Chem Theory Comput 7:3625–3634
Bernstein N, Varnai C, Solt I, Winfield SA, Payne MC, Simon I, Fuxreiter M, Csanyi G (2012) QM/MM simulation of liquid water with an adaptive quantum region. Phys Chem Chem Phys 14:646–656
Park K, Gotz AW, Walker RC, Paesani F (2012) Application of adaptive QM/MM methods to molecular dynamics simulations of aqueous systems. J Chem Theory Comput 8:2868–2877
Takenaka N, Kitamura Y, Koyano Y, Nagaoka M (2012) The number-adaptive multiscale QM/MM molecular dynamics simulation: application to liquid water. Chem Phys Lett 524:56–61
Várnai C, Bernstein N, Mones L, Csányi G (2013) Tests of an adaptive QM/MM calculation on free energy profiles of chemical reactions in solution. J Phys Chem B 117:12202–12211
Watanabe HC, Kubař T, Elstner M (2014) Size-consistent multipartitioning QM/MM: a stable and efficient adaptive QM/MM method. J Chem Theory Comput 10:4242–4252
Pezeshki S, Davis C, Heyden A, Lin H (2014) Adaptive-partitioning QM/MM dynamics simulations: 3. Solvent molecules entering and leaving protein binding sites. J Chem Theory Comput 10:4765–4776
Pezeshki S, Lin H (2015) Adaptive-partitioning QM/MM for molecular dynamics simulations: 4. Proton hopping in bulk water. J Chem Theory Comput 11:2398–2411
Rowley CN, Roux B (2012) The solvation structure of Na+ and K+ in liquid water determined from high level ab Initio molecular dynamics simulations. J Chem Theory Comput 8:3526–3535
Shiga M, Masia M (2013) Boundary based on exchange symmetry theory for multilevel simulations. I. Basic theory. J Chem Phys 139:044120/1–8
Heyden A, Truhlar DG (2008) Conservative algorithm for an adaptive change of resolution in mixed atomistic/coarse-grained multiscale simulations. J Chem Theory Comput 4:217–221
Praprotnik M, Poblete S, Delle Site L, Kremer K (2011) Comment on “Adaptive multiscale molecular dynamics of macromolecular fluids”. Phys Rev Lett 107:099801/1–2
Kästner J, Thiel W (2005) Bridging the gap between thermodynamic integration and umbrella sampling provides a novel analysis method: “umbrella integration”. J Chem Phys 123:144104/1–5
Carter EA, Ciccotti G, Hynes JT, Kapral R (1989) Constrained reaction coordinate dynamics for the simulation of rare events. Chem Phys Lett 156:472–477
Laio A, Parrinello M (2002) Escaping free-energy minima. Proc Natl Acad Sci USA 99:12562–12566
Darve E, Pohorille A (2001) Calculating free energies using average force. J Chem Phys 115:9169–9183
Dahlke EE, Truhlar DG (2007) Electrostatically embedded many-body expansion for large systems, with applications to water clusters. J Chem Theory Comput 3:46–53
Dahlke EE, Truhlar DG (2007) Electrostatically Embedded many-body correlation energy, with applications to the calculation of accurate second-order Moller-Plesset Perturbation Theory energies for large water clusters. J Chem Theory Comput 3:1342–1348
Speetzen ED, Leverentz HR, Lin H, Donald GT (2011) Electrostatically embedded many-body expansion for large systems. In: Manby FR (ed) Accurate condensed-phase quantum chemistry. Computation in chemistry. CRC Press, Taylor & Francis, New York, pp 105–127
Lin H, Truhlar DG (2005) Redistributed charge and dipole schemes for combined quantum mechanical and molecular mechanical calculations. J Phys Chem A 109:3991–4004
Dutzler R, Campbell EB, MacKinnon R (2003) Gating the selectivity filter in ClC chloride channels. Science 300:108–112
Agmon N (1995) The Grotthuss mechanism. Chem Phys Lett 244:456–462
Wu X, Thiel W, Pezeshki S, Lin H (2013) Specific reaction path Hamiltonian for proton transfer in water: reparameterized semiempirical models. J Chem Theory Comput 9:2672–2686
Jorgensen WL, Chandrasekhar J, Madura JD, Impey RW, Klein ML (1983) Comparison of simple potential functions for simulating liquid water. J Chem Phys 79:926–935
Marx D, Tuckerman ME, Hutter J, Parrinello M (1999) The nature of the hydrated excess proton in water. Nature 397:601–604
Marx D, Tuckerman ME, Parrinello M (2000) Solvated excess protons in water: quantum effects on the hydration structure. J Phys: Condens Matter 12:A153–A159
Bulo RE, Michel C, Fleurat-Lessard P, Sautet P (2013) Multiscale modeling of chemistry in water: are we there yet? J Chem Theory Comput 9:5567–5577
Zhang Y, Lin H (2008) Flexible-boundary quantum-mechanical/molecular-mechanical calculations: partial charge transfer between the quantum-mechanical and molecular-mechanical subsystems. J Chem Theory Comput 4:414–425
Zhang Y, Lin H (2010) Flexible-boundary QM/MM calculations: II. Partial charge transfer across the QM/MM boundary that passes through a covalent bond. Theoret Chem Acc 126:315–322
Pezeshki S, Lin H (2014) Molecular dynamics simulations of ion solvation by flexible-boundary QM/MM: on-the-fly partial charge transfer between QM and MM subsystems. J Comput Chem 35:1778–1788
Abrams CF (2005) Concurrent dual-resolution Monte Carlo simulation of liquid methane. J Chem Phys 123:234101/234101–234113
Praprotnik M, Delle Site L, Kremer K (2005) Adaptive resolution molecular-dynamics simulation: changing the degrees of freedom on the fly. J Chem Phys 123:224106/1–14
Ensing B, Nielsen SO, Moore PB, Klein ML, Parrinello M (2007) Energy conservation in adaptive hybrid atomistic/coarse-grain molecular dynamics. J Chem Theory Comput 3:1100–1105
Praprotnik M, Matysiak S, Site LD, Kremer K, Clementi C (2007) Adaptive resolution simulation of liquid water. J Phys: Condens Matter 19:292201/1–10
Wang H, Schütte C, Delle Site L (2012) Adaptive resolution simulation (AdResS): a smooth thermodynamic and structural transition from atomistic to coarse grained resolution and vice versa in a grand canonical fashion. J Chem Theory Comput 8:2878–2887
Wang H, Hartmann C, Schütte C, Delle Site L (2013) Grand-canonical-like molecular-dynamics simulations by using an adaptive-resolution technique. Phys Rev X 3:011018/1–16
Acknowledgments
This work is supported by National Science Foundation (CHE-0952337). This work used the Extreme Science and Engineering Discovery Environment (XSEDE) under grant CHE-140070, which is supported by National Science Foundation grant number ACI-1053575. HL thanks the Camille & Henry Dreyfus Foundation for support (TH-14-028). We are grateful to Adam Duster for critically reading our manuscript.
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The authors declare no competing financial interest.
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Pezeshki, S., Lin, H. (2015). Recent Progress in Adaptive-Partitioning QM/MM Methods for Born-Oppenheimer Molecular Dynamics. In: Rivail, JL., Ruiz-Lopez, M., Assfeld, X. (eds) Quantum Modeling of Complex Molecular Systems. Challenges and Advances in Computational Chemistry and Physics, vol 21. Springer, Cham. https://doi.org/10.1007/978-3-319-21626-3_3
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