Abstract
Molecular dynamics is a powerful simulation method to provide detailed atomic-scale insight into a range of biological processes including protein folding, biochemical reactions, ligand binding, and many others. Over the last several decades, enhanced sampling methods have been developed to address the large separation in time scales between a molecular dynamics simulation (usually microseconds or shorter) and the time scales of biological processes (often orders of magnitude longer). This chapter specifically focuses on the metadynamics family of methods, which achieves enhanced sampling through the introduction of a history-dependent bias potential that is based on one or more slow degrees of freedom, called collective variables. We introduce the method and its recent variants related to biomolecular studies and then discuss frontier areas of the method. A large part of this chapter is devoted to helping new users of the method understand how to choose metadynamics parameters properly and apply the method to their system of interest.
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References
Laio A, Parrinello M (2002) Escaping free-energy minima. Proc Natl Acad Sci U S A 99(20):12562–12566
Laio A, Parrinello M (2006) Computing free energies and accelerating rare events with metadynamics. Lect Notes Phys 703:303–335
Laio A, Gervasio FL (2008) Metadynamics: a method to simulate rare events and reconstruct the free energy in biophysics, chemistry and material science. Rep Prog Phys 71(12):126601
Barducci A, Bonomi M, Parrinello M (2011) Metadynamics. WIREs Comput Mol Sci 1(5):826–843. https://doi.org/10.1002/wcms.31
Valsson O, Tiwary P, Parrinello M (2016) Enhancing important fluctuations: rare events and metadynamics from a conceptual viewpoint. Annu Rev Phys Chem 67(1):159–184. https://doi.org/10.1146/annurev-physchem-040215-112229
Sutto L, Marsili S, Gervasio FL (2012) New advances in metadynamics. WIREs Comput Mol Sci 2(5):771–779. https://doi.org/10.1002/wcms.1103
Abrams C, Bussi G (2014) Enhanced sampling in molecular dynamics using metadynamics, replica-exchange, and temperature-acceleration. Entropy 16(1):163
Leone V, Marinelli F, Carloni P, Parrinello M (2010) Targeting biomolecular flexibility with metadynamics. Curr Opin Struct Biol 20(2):148–154
Barducci A, Pfaendtner J, Bonomi M (2015) Tackling sampling challenges in biomolecular simulations. In: Kukol A (ed) Molecular modeling of proteins. Springer, New York, NY, pp 151–171. https://doi.org/10.1007/978-1-4939-1465-4_8
Furini S, Domene C (2016) Computational studies of transport in ion channels using metadynamics. BBA-Biomembranes 1858(7):1733–1740. https://doi.org/10.1016/j.bbamem.2016.02.015
Ensing B, De Vivo M, Liu Z, Moore P, Klein ML (2005) Metadynamics as a tool for exploring free energy landscapes of chemical reactions. Acc Chem Res 39(2):73–81. https://doi.org/10.1021/ar040198i
Zheng S, Pfaendtner J (2015) Enhanced sampling of chemical and biochemical reactions with metadynamics. Mol Simulat 41(1–3):55–72
Peters B (2017) Reaction rate theory and rare events. Elsevier, Ann Arbor
Peters B (2016) Reaction coordinates and mechanistic hypothesis tests. Annu Rev Phys Chem 67(1):669–690. https://doi.org/10.1146/annurev-physchem-040215-112215
Trzesniak D, Kunz APE, van Gunsteren WF (2007) A comparison of methods to compute the potential of mean force. ChemPhysChem 8:162–169. https://doi.org/10.1002/cphc.200600527
Torrie GM, Valleau JP (1977) Non-physical sampling distributions in Monte-Carlo free-energy estimation - umbrella sampling. J Comput Phys 23(2):187–199
Kumar S, Rosenberg JM, Bouzida D, Swendsen RH, Kollman PA (1995) Multidimensional free-energy calculations using the weighted histogram analysis method. J Comput Chem 16(11):1339–1350
Barducci A, Bussi G, Parrinello M (2008) Well-tempered metadynamics: a smoothly converging and tunable free-energy method. Phys Rev Lett 100:020603
Tiwary P, Parrinello M (2015) A time-independent free energy estimator for metadynamics. J Phys Chem B 119(3):736–742. https://doi.org/10.1021/jp504920s
Bonomi M, Barducci A, Parrinello M (2009) Reconstructing the equilibrium Boltzmann distribution from well-tempered metadynamics. J Comput Chem 30(11):1615–1621. https://doi.org/10.1002/jcc.21305
Branduardi D, Bussi G, Parrinello M (2012) Metadynamics with adaptive Gaussians. J Chem Theory Comput 8(7):2247–2254. https://doi.org/10.1021/ct3002464
Peters B (2010) Recent advances in transition path sampling: accurate reaction coordinates, likelihood maximization, and diffusive barrier crossing dynamics. Mol Simulat 36:1265–1281
Raiteri P, Laio A, Gervasio FL, Micheletti C, Parrinello M (2006) Efficient reconstruction of complex free energy landscapes by multiple walkers metadynamics. J Phys Chem B 110(8):3533–3539. https://doi.org/10.1021/jp054359r
Bussi G, Gervasio FL, Laio A, Parrinello M (2006) Free-energy landscape for beta hairpin folding from combined parallel tempering and metadynamics. J Am Chem Soc 128:13435–13441. https://doi.org/10.1021/ja062463w
Sugita Y, Okamoto Y (1999) Replica-exchange molecular dynamics method for protein folding. Chem Phys Lett 314:141–151
Piana S, Laio A (2007) A bias-exchange approach to protein folding. J Phys Chem B 111(17):4553–4559. https://doi.org/10.1021/jp0678731
Deighan M, Bonomi M, Pfaendtner J (2012) Efficient simulation of explicitly solvated proteins in the well-tempered ensemble. J Chem Theory Comput 8(7):2189–21982
Bonomi M, Parrinello M (2010) Enhanced sampling in the well-tempered ensemble. Phys Rev Lett 104(19):190601
Tribello GA, Bonomi M, Branduardi D, Camilloni C, Bussi G (2014) PLUMED 2: new feathers for an old bird. Comput Phys Commun 185(2):604–613
Bonomi M, Branduardi D, Bussi G, Camilloni C, Provasi D, Raiteri P, Donadio D, Marinelli F, Pietrucci F, Broglia RA, Parrinello M (2009) PLUMED: a portable plugin for free-energy calculations with molecular dynamics. Comput Phys Commun 180(10):1961–1972. https://doi.org/10.1016/j.cpc.2009.05.011
Pfaendtner J, Bonomi M (2015) Efficient sampling of high-dimensional free-energy landscapes with parallel bias metadynamics. J Chem Theory Comput 11(11):5062–5067. https://doi.org/10.1021/acs.jctc.5b00846
Gil-Ley A, Bussi G (2015) Enhanced conformational sampling using replica exchange with collective-variable tempering. J Chem Theory Comput 11(3):1077–1085. https://doi.org/10.1021/ct5009087
Sivia J (2006) Data analysis: a Bayesian tutorial. Oxford University Press, Oxford, UK
Spiwok V, Lipovová P, Králová B (2007) Metadynamics in essential coordinates: free energy simulation of conformational changes. J Phys Chem B 111(12):3073–3076. https://doi.org/10.1021/jp068587c
Tribello GA, Ceriotti M, Parrinello M (2010) A self-learning algorithm for biased molecular dynamics. Proc Natl Acad Sci U S A 107(41):17509–17514. https://doi.org/10.1073/pnas.1011511107
Tribello GA, Ceriotti M, Parrinello M (2012) Using sketch-map coordinates to analyze and bias molecular dynamics simulations. Proc Natl Acad Sci U S A 109(14):5196
Tiwary P, Berne BJ (2016) Spectral gap optimization of order parameters for sampling complex molecular systems. Proc Natl Acad Sci U S A 113(11):2839–2844. https://doi.org/10.1073/pnas.1600917113
Sultan M, Pande VS (2017) tICA-metadynamics: accelerating metadynamics by using kinetically selected collective variables. J Chem Theory Comput 13(6):2440–2447. https://doi.org/10.1021/acs.jctc.7b00182
Marinelli F, Pietrucci F, Laio A, Piana S (2009) A kinetic model of Trp-cage folding from multiple biased molecular dynamics simulations. PLoS Comput Biol 5(8):e1000452. https://doi.org/10.1371/journal.pcbi.1000452
Tiwary P, Parrinello M (2013) From metadynamics to dynamics. Phys Rev Lett 111(23):230602
Voter AF (1997) Hyperdynamics: accelerated molecular dynamics of infrequent events. Phys Rev Lett 78(20):3908–3911
Salvalaglio M, Tiwary P, Parrinello M (2014) Assessing the reliability of the dynamics reconstructed from metadynamics. J Chem Theory Comput 10(4):1420–1425. https://doi.org/10.1021/ct500040r
Tung H-J, Pfaendtner J (2016) Kinetics and mechanism of ionic-liquid induced protein unfolding: application to the model protein HP35. Mol Syst Des Eng 1:382–390. https://doi.org/10.1039/C6ME00047A
Tiwary P, Limongelli V, Salvalaglio M, Parrinello M (2015) Kinetics of protein–ligand unbinding: predicting pathways, rates, and rate-limiting steps. Proc Natl Acad Sci U S A 112(5):E386–E391. https://doi.org/10.1073/pnas.1424461112
Tiwary P, Mondal J, Morrone JA, Berne BJ (2015) Role of water and steric constraints in the kinetics of cavity–ligand unbinding. Proc Natl Acad Sci U S A 112(39):12015–12019. https://doi.org/10.1073/pnas.1516652112
Wang Y, Martins JM, Lindorff-Larsen K (2017) Biomolecular conformational changes and ligand binding: from kinetics to thermodynamics. Chem Sci 8(9):6466–6473. https://doi.org/10.1039/C7SC01627A
Sprenger KG, Pfaendtner J (2016) Chapter Sixteen - Using molecular simulation to study biocatalysis in ionic liquids. In: Gregory AV (ed) Methods in enzymology, vol 577. Academic, London, pp 419–441
Wang Y, Valsson O, Tiwary P, Parrinello M, Lindorff-Larsen K (2018) Frequency adaptive metadynamics for the calculation of rare-event kinetics. J Chem Phys 149(7):072309. https://doi.org/10.1063/1.5024679
Camilloni C, Cavalli A, Vendruscolo M (2013) Replica-averaged metadynamics. J Chem Theory Comput 9(12):5610–5617. https://doi.org/10.1021/ct4006272
White AD, Voth GA (2014) Efficient and minimal method to bias molecular simulations with experimental data. J Chem Theory Comput 10(8):3023–3030. https://doi.org/10.1021/ct500320c
White AD, Dama JF, Voth GA (2015) Designing free energy surfaces that match experimental data with metadynamics. J Chem Theory Comput 11(6):2451–2460. https://doi.org/10.1021/acs.jctc.5b00178
Marinelli F, Faraldo-Gómez José D (2015) Ensemble-biased metadynamics: a molecular simulation method to sample experimental distributions. Biophys J 108(12):2779–2782. https://doi.org/10.1016/j.bpj.2015.05.024
Gil-Ley A, Bottaro S, Bussi G (2016) Empirical corrections to the amber RNA force field with target metadynamics. J Chem Theory Comput 12(6):2790–2798. https://doi.org/10.1021/acs.jctc.6b00299
Bonomi M, Camilloni C, Vendruscolo M (2016) Metadynamic metainference: enhanced sampling of the metainference ensemble using metadynamics. Sci Rep 6:31232. https://doi.org/10.1038/srep31232
Albesa-Jove D, Romero-Garcia J, Sancho-Vaello E, Contreras FX, Rodrigo-Unzueta A, Comino N, Carreras-Gonzalez A, Arrasate P, Urresti S, Biarnes X, Planas A, Guerin ME (2017) Structural snapshots and loop dynamics along the catalytic cycle of glycosyltransferase GpgS. Structure 25(7):1034. https://doi.org/10.1016/j.str.2017.05.009
Ardevol A, Iglesias-Fernandez J, Rojas-Cervellera V, Rovira C (2016) The reaction mechanism of retaining glycosyltransferases. Biochem Soc Trans 44:51–60. https://doi.org/10.1042/bst20150177
Binette V, Cote S, Mousseau N (2016) Free-energy landscape of the amino-terminal fragment of Huntingtin in aqueous solution. Biophys J 110(5):1075–1088. https://doi.org/10.1016/j.bpj.2016.01.015
Bonetti D, Camilloni C, Visconti L, Longhi S, Brunori M, Vendruscolo M, Gianni S (2016) Identification and structural characterization of an intermediate in the folding of the measles virus X domain. J Biol Chem 291(20):10886. https://doi.org/10.1074/jbc.M116.721126
Brandt AML, Batista PR, Souza-Silva F, Alves CR, Caffarena ER (2016) Exploring the unbinding of Leishmania (L.) amazonensis CPB derived-epitopes from H2 MHC class I proteins. Proteins 84(4):473–487. https://doi.org/10.1002/prot.24994
Camilloni C, Vendruscolo M (2015) Using pseudocontact shifts and residual dipolar couplings as exact NMR restraints for the determination of protein structural ensembles. Biochemistry 54(51):7470–7476. https://doi.org/10.1021/acs.biochem.5b01138
Casillas-Ituarte NN, Cruz CHB, Lins RD, DiBartola AC, Howard J, Liang XW, Hook M, Viana IFT, Sierra-Hernandez MR, Lower SK (2017) Amino acid polymorphisms in the fibronectin-binding repeats of fibronectin-binding protein A affect bond strength and fibronectin conformation. J Biol Chem 292(21):8797–8810. https://doi.org/10.1074/jbc.M117.786012
Chow ML, Troussicot L, Martin M, Doumeche B, Guilliere F, Lancelin JM (2016) Predicting and understanding the enzymatic inhibition of human peroxiredoxin 5 by 4-substituted pyrocatechols by combining funnel metadynamics, solution NMR, and steady-state kinetics. Biochemistry 55(24):3469–3480. https://doi.org/10.1021/acs.biochem.6b00367
Comitani F, Melis C, Molteni C (2015) Elucidating ligand binding and channel gating mechanisms in pentameric ligand-gated ion channels by atomistic simulations. Biochem Soc Trans 43:151–156. https://doi.org/10.1042/bst20140259
Cunha RA, Bussi G (2017) Unraveling Mg2+-RNA binding with atomistic molecular dynamics. RNA 23(5):628–638. https://doi.org/10.1261/rna.060079.116
D’Agostino T, Salis S, Ceccarelli M (2016) A kinetic model for molecular diffusion through pores. BBA-Biomembranes 1858(7):1772–1777. https://doi.org/10.1016/j.bbamem.2016.01.004
Darre L, Domene C (2015) Binding of capsaicin to the TRPV1 ion channel. Mol Pharm 12(12):4454–4465. https://doi.org/10.1021/acs.molpharmaceut.5b00641
della Longa S, Arcovito A (2016) A dynamic picture of the early events in nociceptin binding to the NOP receptor by metadynamics. Biophys J 111(6):1203–1213. https://doi.org/10.1016/j.bpj.2016.07.004
Della-Longa S, Arcovito A (2015) Intermediate states in the binding process of folic acid to folate receptor alpha: insights by molecular dynamics and metadynamics. J Comput Aided Mol Des 29(1):23–35. https://doi.org/10.1007/s10822-014-9801-8
Deriu MA, Grasso G, Tuszynski JA, Gallo D, Morbiducci U, Danani A (2016) Josephin domain structural conformations explored by metadynamics in essential coordinates. PLoS Comput Biol 12(1):e1004699. https://doi.org/10.1371/journal.pcbi.1004699
Dore AS, Bortolato A, Hollenstein K, Cheng RKY, Read RJ, Marshall FH (2017) Decoding corticotropin-releasing factor receptor type 1 crystal structures. Curr Mol Pharmacol 10(4):334–344. https://doi.org/10.2174/1874467210666170110114727
Formoso E, Mujika JI, Grabowski SJ, Lopez X (2015) Aluminum and its effect in the equilibrium between folded/unfolded conformation of NADH. J Inorg Biochem 152:139–146. https://doi.org/10.1016/j.jinorgbio.2015.08.017
Han MZ, Xu J, Ren Y, Li JH (2016) Simulation of coupled folding and binding of an intrinsically disordered protein in explicit solvent with metadynamics. J Mol Graph Model 68:114–127. https://doi.org/10.1016/j.jmgm.2016.06.015
Han MZ, Xu J, Ren Y, Li JH (2016) Simulations of flow induced structural transition of the beta-switch region of glycoprotein Ib alpha. Biophys Chem 209:9–20. https://doi.org/10.1016/j.bpc.2015.11.002
Heller GT, Aprilel FA, Bonomi M, Camilloni C, De Simone A, Vendruscolo M (2017) Sequence specificity in the entropy-driven binding of a small molecule and a disordered peptide. J Mol Biol 429(18):2772–2779. https://doi.org/10.1016/j.jmb.2017.07.016
Hultqvist G, Aberg E, Camilloni C, Sundell GN, Andersson E, Dogan J, Chi CN, Vendruscolo M, Jemth P (2017) Emergence and evolution of an interaction between intrinsically disordered proteins. elife 6:e16059. https://doi.org/10.7554/eLife.16059
Iglesias-Fernandez J, Hancock SM, Lee SS, Khan M, Kirkpatrick J, Oldham NJ, McAuley K, Fordham-Skelton A, Rovira C, Davis BG (2017) A front-face ‘S(N)i synthase’ engineered from a retaining ‘double-S(N)2’ hydrolase. Nat Chem Biol 13(8):874. https://doi.org/10.1038/nchembio.2394
Isabella VM, Campbell AJ, Manchester J, Sylvester M, Nayar AS, Ferguson KE, Tommasi R, Miller AA (2015) Toward the rational design of carbapenem uptake in Pseudomonas aeruginosa. Chem Biol 22(4):535–547. https://doi.org/10.1016/j.chembiol.2015.03.018
Jana K, Bandyopadhyay T, Ganguly B (2017) Designed inhibitors with hetero linkers for gastric proton pump H+,K+-ATPase: steered molecular dynamics and metadynamics studies. J Mol Graph Model 78:129–138. https://doi.org/10.1016/j.jmgm.2017.10.006
Jorgensen C, Furini S, Domene C (2016) Energetics of ion permeation in an open-activated TRPV1 channel. Biophys J 111(6):1214–1222. https://doi.org/10.1016/j.bpj.2016.08.009
Kukic P, Leung HTA, Bemporad F, Aprile FA, Kumita JR, De Simone A, Camilloni C, Vendruscolo M (2015) Structure and dynamics of the integrin LFA-1 I-domain in the inactive state underlie its inside-out/outside-in signaling and allosteric mechanisms. Structure 23(4):745–753. https://doi.org/10.1016/j.str.2014.12.020
Kukic P, Lundstrom P, Camilloni C, Evenas J, Akke M, Vendruscolo M (2016) Structural insights into the calcium-mediated allosteric transition in the C-terminal domain of calmodulin from nuclear magnetic resonance measurements. Biochemistry 55(1):19–28. https://doi.org/10.1021/acs.biochem.5b00961
Li DC, Liu MS, Ji BH (2015) Mapping the dynamics landscape of conformational transitions in enzyme: the adenylate kinase case. Biophys J 109(3):647–660. https://doi.org/10.1016/j.bpj.2015.06.059
Luciani P, de Mendoza AEH, Casalini T, Lang S, Atrott K, Spalinger MR, Pratsinis A, Sobek J, Frey-Wagner I, Schumacher J, Leroux JC, Rogler G (2017) Gastroresistant oral peptide for fluorescence imaging of colonic inflammation. J Control Release 262:118–126. https://doi.org/10.1016/j.jconrel.2017.07.024
Meloni R, Tiana G (2017) Thermodynamic and structural effect of urea and guanidine chloride on the helical and on a hairpin fragment of GB1 from molecular simulations. Proteins 85(4):753–763. https://doi.org/10.1002/prot.25255
Mlynsky V, Bussi G (2017) Understanding in-line probing experiments by modeling cleavage of nonreactive RNA nucleotides. RNA 23(5):712–720. https://doi.org/10.1261/rna.060442.116
Oparin RD, Moreau M, De Walle I, Paolantoni M, Idrissi A, Kiselev MG (2015) The interplay between the paracetamol polymorphism and its molecular structures dissolved in supercritical CO2 in contact with the solid phase: in situ vibration spectroscopy and molecular dynamics simulation analysis. Eur J Pharm Sci 77:48–59. https://doi.org/10.1016/j.ejps.2015.05.016
Panczyk K, Plazinski W (2018) Pyranose ring puckering in aldopentoses, ketohexoses and deoxyaldohexoses. A molecular dynamics study. Carbohydr Res 455:62–70. https://doi.org/10.1016/j.carres.2017.11.011
Pietropaolo A, Pierri CL, Palmieri F, Klingenberg M (2016) The switching mechanism of the mitochondrial ADP/ATP carrier explored by free-energy landscapes. BBA-Bioenergetics 1857(6):772–781. https://doi.org/10.1016/j.bbabio.2016.02.006
Pietropaolo A, Satriano C, Strano G, La Mendola D, Rizzarelli E (2015) Different zinc(II) complex species and binding modes at A beta N-terminus drive distinct long range cross-talks in the A beta monomers. J Inorg Biochem 153:367–376. https://doi.org/10.1016/j.jinorgbio.2015.08.013
Plazinski W, Drach M (2015) The influence of the hexopyranose ring geometry on the conformation of glycosidic linkages investigated using molecular dynamics simulations. Carbohydr Res 415:17–27. https://doi.org/10.1016/j.carres.2015.07.018
Rather MA, Basha SH, Bhat IA, Sharma N, Nandanpawar P, Badhe M, Gireesh-Babu P, Chaudhari A, Sundaray JK, Sharma R (2017) Characterization, molecular docking, dynamics simulation and metadynamics of kisspeptin receptor with kisspeptin. Int J Biol Macromol 101:241–253. https://doi.org/10.1016/j.ijbiomac.2017.03.102
Roy S, Karmakar T, Rao VSP, Nagappa LK, Balasubramanian S, Balaram H (2015) Slow ligand-induced conformational switch increases the catalytic rate in Plasmodium falciparum hypoxanthine guanine xanthine phosphoribosyltransferase. Mol BioSyst 11(5):1410–1424. https://doi.org/10.1039/c5mb00136f
Saeedi M, Lyubartsev AP, Jalili S (2017) Anesthetics mechanism on a DMPC lipid membrane model: insights from molecular dynamics simulations. Biophys Chem 226:1–13. https://doi.org/10.1016/j.bpc.2017.03.006
Shang Y, Yeatman HR, Provasi D, Alt A, Christopoulos A, Canals M, Filizola M (2016) Proposed mode of binding and action of positive allosteric modulators at opioid receptors. ACS Chem Biol 11(5):1220–1229. https://doi.org/10.1021/acschembio.5b00712
Sharma N, Sonavane U, Joshi R (2017) Differentiating the pre-hydrolysis states of wild-type and A59G mutant HRas: an insight through MD simulations. Comput Biol Chem 69:96–109. https://doi.org/10.1016/j.compbiolchem.2017.05.008
Shrestha P, Wereszczynski J (2016) Discerning the catalytic mechanism of Staphylococcus aureus sortase A with QM/MM free energy calculations. J Mol Graph Model 67:33–43. https://doi.org/10.1016/j.jmgm.2016.04.006
Singh R, Bansal R, Rathore AS, Goel G (2017) Equilibrium ensembles for insulin folding from bias-exchange metadynamics. Biophys J 112(8):1571–1585. https://doi.org/10.1016/j.bpj.2017.03.015
Timmers L, Neto AMS, Montalvao RW, Basso LA, Santos DS, de Souza ON (2017) EPSP synthase flexibility is determinant to its function: computational molecular dynamics and metadynamics studies. J Mol Model 23(7):197. https://doi.org/10.1007/s00894-017-3372-2
Wang J, Sun LF, Cui WW, Zhao WS, Ma XF, Li B, Liu Y, Yang Y, Hu YM, Huang LD, Cheng XY, Li LY, Lu XY, Tian Y, Yu Y (2017) Intersubunit physical couplings fostered by the left flipper domain facilitate channel opening of P2X4 receptors. J Biol Chem 292(18):7619–7635. https://doi.org/10.1074/jbc.M116.771121
Wang Y, Papaleo E, Lindorff-Larsen K (2016) Mapping transiently formed and sparsely populated conformations on a complex energy landscape. elife 5:e17505. https://doi.org/10.7554/elife.17505
Yang C, Kulkarni M, Lim M, Pak Y (2017) In silico direct folding of thrombin-binding aptamer G-quadruplex at all-atom level. Nucleic Acids Res 45(22):12648–12656. https://doi.org/10.1093/nar/gkx1079
Zhang RT, Erler J, Langowski J (2017) Histone acetylation regulates chromatin accessibility: role of H4K16 in inter-nucleosome Interaction. Biophys J 112(3):450–459. https://doi.org/10.1016/j.bpj.2016.11.015
Zhao HC, Palencia A, Seiradake E, Ghaemi Z, Cusack S, Luthey-Schulten Z, Martinis S (2015) Analysis of the resistance mechanism of a benzoxaborole inhibitor reveals insight into the leucyl-tRNA synthetase editing mechanism. ACS Chem Biol 10(10):2277–2285. https://doi.org/10.1021/acschembio.5b00291
Laio A, Rodriguez-Fortea A, Gervasio FL, Ceccarelli M, Parrinello M (2005) Assessing the accuracy of metadynamics. J Phys Chem B 109(14):6714–6721. https://doi.org/10.1021/jp045424k
Baker M, Penny D (2016) Is there a reproducibility crisis? Nature 533:452
Prakash A, Baer MD, Mundy CJ, Pfaendtner J (2018) Peptoid backbone flexibility dictates its interaction with water and surfaces: a molecular dynamics investigation. Biomacromolecules. https://doi.org/10.1021/acs.biomac.7b01813
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The author gratefully acknowledges the help of Kayla Sprenger and Sarah Alamdari in providing detailed feedback on a draft of this chapter.
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Pfaendtner, J. (2019). Metadynamics to Enhance Sampling in Biomolecular Simulations. In: Bonomi, M., Camilloni, C. (eds) Biomolecular Simulations. Methods in Molecular Biology, vol 2022. Humana, New York, NY. https://doi.org/10.1007/978-1-4939-9608-7_8
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