Abstract
Many of the functions of biomacromolecules can be rationalized by the characterization of their conformational energy landscapes: the structures of the dominant states, transitions between states and motions within states. Nuclear magnetic resonance (NMR) spectroscopy is the technique of choice to study internal motions in proteins. The determination of motions on picosecond to nanosecond timescales requires the measurement of nuclear spin relaxation rates at multiple magnetic fields. High sensitivity and resolution are obtained only at high magnetic fields, so that, until recently, site-specific relaxation rates in biomolecules were only measured over a narrow range of high magnetic fields. This limitation was particularly striking for the quantification of motions on nanosecond timescales, close to the correlation time for overall rotational diffusion. High-resolution relaxometry is an emerging technique to investigate picosecond—nanosecond motions of proteins. This approach uses a high-field NMR spectrometer equipped with a sample shuttle device, which allows for the measurement of the relaxation rate constants at low magnetic fields, while preserving the sensitivity and resolution of a high-field NMR spectrometer. The combined analysis of high-resolution relaxometry and standard high-field relaxation data provides a more accurate description of the dynamics of proteins, in particular in the nanosecond range. The purpose of this chapter is to describe how to perform high-resolution relaxometry experiments and how to analyze the rates measured with this technique.
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References
Charlier C, Cousin SF, Ferrage F (2016) Protein dynamics from nuclear magnetic relaxation. Chem Soc Rev 45:2410–2422. doi:10.1039/c5cs00832h
Kay LE, Torchia DA, Bax A (1989) Backbone dynamics of proteins as studied by 15N-inverse detected heteronuclear NMR-spectroscopy - application to staphylococcal nuclease. Biochemistry 28:8972–8979
Palmer AG (2004) NMR characterization of the dynamics of biomacromolecules. Chem Rev 104(8):3623–3640
Peng JW, Wagner G (1992) Mapping of spectral density-functions using heteronuclear NMR relaxation measurements. J Magn Reson 98(2):308–332
Tjandra N, Feller SE, Pastor RW, Bax A (1995) Rotational diffusion anisotropy of human ubiquitin from 15N NMR relaxation. J Am Chem Soc 117:12562–12566
Agarwal V, Xue Y, Reif B, Skrynnikov NR (2008) Protein side-chain dynamics as observed by solution- and solid-state NMR spectroscopy: a similarity revealed. J Am Chem Soc 130(49):16611–16621. doi:10.1021/ja804275p
Duchardt E, Schwalbe H (2005) Residue specific ribose and nucleobase dynamics of the cUUCGg RNA tetraloop motif by NMR 13C relaxation. J Biomol NMR 32(4):295–308. doi:10.1007/s10858-005-0659-x
Ferrage F, Pelupessy P, Cowburn D, Bodenhausen G (2006) Protein backbone dynamics through 13C'-13Cα cross-relaxation in NMR spectroscopy. J Am Chem Soc 128(34):11072–11078. doi:10.1021/ja0600577
Rinnenthal J, Richter C, Nozinovic S, Furtig B, Lopez JJ, Glaubitz C, Schwalbe H (2009) RNA phosphodiester backbone dynamics of a perdeuterated cUUCGg tetraloop RNA from phosphorus-31 NMR relaxation analysis. J Biomol NMR 45(1-2):143–155. doi:10.1007/s10858-009-9343-x
Muhandiram DR, Yamazaki T, Sykes BD, Kay LE (1995) Measurement of 2H T1ρ relaxation times in uniformly 13C-labeled and fractionally 2H-labeled proteins in solution. J Am Chem Soc 117:11536–11544
Lee AL, Flynn PF, Wand AJ (1999) Comparison of 2H and 13C NMR relaxation techniques for the study of protein methyl group dynamics in solution. J Am Chem Soc 121(12):2891–2902. doi:10.1021/ja983758f
Millet O, Muhandiram DR, Skrynnikov NR, Kay LE (2002) Deuterium spin probes of side-chain dynamics in proteins. 1. Measurement of five relaxation rates per deuteron in 13C-labeled and fractionally 2H-enriched proteins in solution. J Am Chem Soc 124:6439–6448
Skrynnikov NR, Millet O, Kay LE (2002) Deuterium spin probes of side-chain dynamics in proteins. 2. Spectral density mapping and identification of nanosecond time-scale side-chain motions. J Am Chem Soc 124(22):6449–6460. doi:10.1021/ja012498q
Sheppard D, Li D-W, Brueschweiler R, Tugarinov V (2009) Deuterium spin probes of backbone order in proteins: 2H NMR relaxation study of deuterated carbon alpha sites. J Am Chem Soc 131(43):15853–15865. doi:10.1021/ja9063958
Liao X, Long D, Li D-W, Brueschweiler R, Tugarinov V (2012) Probing side-chain dynamics in proteins by the measurement of nine deuterium relaxation rates per methyl group. J Phys Chem B 116(1):606–620. doi:10.1021/jp209304c
Ernst RR, Bodenhausen G, Wokaun A (1987) Principles of magnetic resonance in one and two dimensions. Clarendon Press, Oxford
Kumar A, Grace RCR, Madhu PK (2000) Cross-correlations in NMR. Prog NMR Spectrosc 37(3):191–319
Goldman M (2001) Formal theory of spin-lattice relaxation. J Magn Reson 149:160–187
Nicholas MP, Eryilmaz E, Ferrage F, Cowburn D, Ghose R (2010) Nuclear spin relaxation in isotropic and anisotropic media. Prog Nucl Magn Reson Spectrosc 57:111
Redfield AG (2003) Shuttling device for high-resolution measurements of relaxation and related phenomena in solution at low field, using a shared commercial 500 MHz NMR instrument. Magn Reson Chem 41(10):753–768. doi:10.1002/mrc.1264
Redfield AG (2012) High-resolution NMR field-cycling device for full-range relaxation and structural studies of biopolymers on a shared commercial instrument. J Biomol NMR 52(2):159–177. doi:10.1007/s10858-011-9594-1
Chou CY, Chu ML, Chang CF, Huang TH (2012) A compact high-speed mechanical sample shuttle for field-dependent high-resolution solution NMR. J Magn Reson 214:302–308. doi:10.1016/j.jmr.2011.12.001
Charlier C, Khan SN, Marquardsen T, Pelupessy P, Reiss V, Sakellariou D, Bodenhausen G, Engelke F, Ferrage F (2013) Nanosecond time scale motions in proteins revealed by high-resolution NMR relaxometry. J Am Chem Soc 135(49):18665–18672. doi:10.1021/ja409820g
Goldman M (1988) Quantum description of high resolution NMR in liquids. Clarendon Press, Oxford
Abragam A (1961) Principles of nuclear magnetism. Oxford University Press, Oxford
Redfield AG (1965) Theory of relaxation processes. Adv Magn Reson 1:1–32
Cavanagh J, Fairbrother WJ, Palmer AG III, Rance M, Skelton NJ (2006) Protein NMR spectroscopy: principles and practice. Academic Press, San Diego, CA
Khan SN, Charlier C, Augustyniak R, Salvi N, Déjean V, Bodenhausen G, Lequin O, Pelupessy P, Ferrage F (2015) Distribution of pico- and nanosecond motions in disordered proteins from nuclear spin relaxation: a simple array of correlation times. Biophys J 109:988
Brüschweiler R, Wright PE (1994) NMR order parameters of biomolecules - a new analytical representation and application to the gaussian axial fluctuation model. J Am Chem Soc 116:8426–8427
Lipari G, Szabo A (1982) Model-free approach to the interpretation of nuclear magnetic resonance relaxation in macromolecules 1. Theory and range of validity. J Am Chem Soc 104:4546–4559
Polimeno A, Freed JH (1995) Slow motional ESR in complex fluids - the slowly relaxing local-structure model of solvent cage effects. J Phys Chem 99(27):10995–11006. doi:10.1021/j100027a047
Meirovitch E, Shapiro YE, Polimeno A, Freed JH (2006) Protein dynamics from NMR: the slowly relaxing local structure analysis compared with model-free analysis. J Phys Chem A 110(27):8366–8396
Buevich AV, Baum J (1999) Dynamics of unfolded proteins: incorporation of distributions of correlation times in the model free analysis of NMR relaxation data. J Am Chem Soc 121(37):8671–8672
Buevich AV, Shinde UP, Inouye M, Baum J (2001) Backbone dynamics of the natively unfolded pro-peptide of subtilisin by heteronuclear NMR relaxation studies. J Biomol NMR 20(3):233–249. doi:10.1023/a:1011243116136
Ochsenbein F, Neumann JM, Guittet E, Van Heijenoort C (2002) Dynamical characterization of residual and non-native structures in a partially folded protein by 15N NMR relaxation using a model based on a distribution of correlation times. Protein Sci 11(4):957–964. doi:10.1110/ps.4000102
Abyzov A, Salvi N, Schneider R, Maurin D, Ruigrok RWH, Jensen MR, Blackledge M (2016) Identification of dynamic modes in an intrinsically disordered protein using temperature-dependent NMR relaxation. J Am Chem Soc 138(19):6240–6251. doi:10.1021/jacs.6b02424
Clore GM, Szabo A, Bax A, Kay LE, Driscoll PC, Gronenborn AM (1990) Deviations from the simple 2-parameter model-free approach to the interpretation of Nitrogen-15 nuclear magnetic relaxation of proteins. J Am Chem Soc 112(12):4989–4991
Mandel AM, Akke M, Palmer AG III (1995) Backbone dynamics of Escherichia coli ribonuclease HI: correlations with structure and function in an active enzyme. J Mol Biol 246:144–163
Dosset P, Hus JC, Blackledge M, Marion D (2000) Efficient analysis of macromolecular rotational diffusion from heteronuclear relaxation data. J Biomol NMR 16(1):23–28
Berlin K, Castaneda CA, Schneidman-Duhovny D, Sali A, Nava-Tudela A, Fushman D (2013) Recovering a representative conformational ensemble from underdetermined macromolecular structural data. J Am Chem Soc 135(44):16595–16609. doi:10.1021/ja4083717
d’Auvergne EJ, Gooley PR (2008) Optimisation of NMR dynamic models I. Minimisation algorithms and their performance within the model-free and Brownian rotational diffusion spaces. J Biomol NMR 40(2):107–119. doi:10.1007/s10858-007-9214-2
d’Auvergne EJ, Gooley PR (2008) Optimisation of NMR dynamic models II. A new methodology for the dual optimisation of the model-free parameters and the Brownian rotational diffusion tensor. J Biomol NMR 40(2):121–133. doi:10.1007/s10858-007-9213-3
Pervushin K, Riek R, Wider G, Wüthrich K (1997) Attenuated T2 relaxation by mutual cancellation of dipole-dipole coupling and chemical shift anisotropy indicates an avenue to NMR structures of very large biological macromolecules in solution. Proc Natl Acad Sci USA 94:12366–12371
Ferrage F, Piserchio A, Cowburn D, Ghose R (2008) On the measurement of 15N-{1H} nuclear overhauser effects. J Magn Reson 192(2):302–313. doi:10.1016/j.jmr.2008.03.011
Ammann C, Meier P, Merbach AE (1982) A simple multi-nuclear NMR thermometer. J Magn Reson 46(2):319–321. doi:10.1016/0022-2364(82)90147-0
Lacey ME, Webb AG, Sweedler JV (2002) On-line temperature-monitoring in a capillary electrochromatograph frit using microcoil NMR. Anal Chem 74(17):4583–4587. doi:10.1021/ac025741s
Berger S, Braun S (2004) 200 and more NMR experiments: a practical course. Wiley-VCH, Weinheim
Findeisen M, Brand T, Berger S (2007) A 1H-NMR thermometer suitable for cryoprobes. Magn Reson Chem 45(2):175–178. doi:10.1002/mrc.1941
Delaglio F, Grzesiek S, Vuister GW, Zhu G, Pfeifer J, Bax A (1995) NMRPipe: a multidimensional spectral processing system based on UNIX pipes. J Biomol NMR 6:277–293
Fushman D, Varadan R, Assfalg M, Walker O (2004) Determining domain orientation in macromolecules by using spin-relaxation and residual dipolar coupling measurements. Prog Nucl Magn Reson Spectrosc 44(3-4):189–214. doi:10.1016/j.pnmrs.2004.02.001
Ferrage F (2012) Protein dynamics by 15N nuclear magnetic relaxation. Meth Mol Biol 831:141–163
Lakomek NA, Carlomagno T, Becker S, Griesinger C, Meiler J (2006) A thorough dynamic interpretation of residual dipolar couplings in ubiquitin. J Biomol NMR 34(2):101–115
Lakomek NA, Walter KFA, Fares C, Lange OF, de Groot BL, Grubmuller H, Bruschweiler R, Munk A, Becker S, Meiler J, Griesinger C (2008) Self-consistent residual dipolar coupling based model-free analysis for the robust determination of nanosecond to microsecond protein dynamics. J Biomol NMR 41(3):139–155. doi:10.1007/s10858-008-9244-4
Salmon L, Bouvignies G, Markwick P, Lakomek N, Showalter S, Li DW, Walter K, Griesinger C, Bruschweiler R, Blackledge M (2009) Protein conformational flexibility from structure-free analysis of NMR dipolar couplings: quantitative and absolute determination of backbone motion in ubiquitin. Angew Chem Int Ed Engl 48(23):4154–4157. doi:10.1002/anie.200900476
Salmon L, Bouvignies G, Markwick P, Blackledge M (2011) Nuclear magnetic resonance provides a quantitative description of protein conformational flexibility on physiologically important time scales. Biochemistry 50(14):2735–2747. doi:10.1021/bi200177v
Loth K, Pelupessy P, Bodenhausen G (2005) Chemical shift anisotropy tensors of carbonyl, nitrogen, and amide proton nuclei in proteins through cross-correlated relaxation in NMR spectroscopy. J Am Chem Soc 127(16):6062–6068
Acknowledgments
This work was funded by the European Research Council (ERC) under the European Community Seventh Framework Program (FP7/2007–2013), ERC Grant Agreement 279519 (2F4BIODYN).
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Cousin, S.F., Kadeřávek, P., Bolik-Coulon, N., Ferrage, F. (2018). Determination of Protein ps-ns Motions by High-Resolution Relaxometry. In: Ghose, R. (eds) Protein NMR. Methods in Molecular Biology, vol 1688. Humana Press, New York, NY. https://doi.org/10.1007/978-1-4939-7386-6_9
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