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Measurement of 15N relaxation rates in perdeuterated proteins by TROSY-based methods

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Abstract

While extracting dynamics parameters from backbone 15N relaxation measurements in proteins has become routine over the past two decades, it is increasingly recognized that accurate quantitative analysis can remain limited by the potential presence of systematic errors associated with the measurement of 15N R1 and R2 or R relaxation rates as well as heteronuclear 15N-{1H} NOE values. We show that systematic errors in such measurements can be far larger than the statistical error derived from either the observed signal-to-noise ratio, or from the reproducibility of the measurement. Unless special precautions are taken, the problem of systematic errors is shown to be particularly acute in perdeuterated systems, and even more so when TROSY instead of HSQC elements are used to read out the 15N magnetization through the NMR-sensitive 1H nucleus. A discussion of the most common sources of systematic errors is presented, as well as TROSY-based pulse schemes that appear free of systematic errors to the level of <1 %. Application to the small perdeuterated protein GB3, which yields exceptionally high S/N and therefore is an ideal test molecule for detection of systematic errors, yields relaxation rates that show considerably less residue by residue variation than previous measurements. Measured R2′/R1′ ratios fit an axially symmetric diffusion tensor with a Pearson’s correlation coefficient of 0.97, comparable to fits obtained for backbone amide RDCs to the Saupe matrix.

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References

  • Bothnerby AA, Shukla R (1988) Spin-locked states of homonuclear 2-spin systems. J Magn Reson 77:524–535

    Google Scholar 

  • Boyd J, Hommel U, Campbell ID (1990) Influence of cross-correlation between dipolar and anisotropic chemical shift relaxation mechanisms upon longitudinal relaxation rates of 15 N in macromolecules. Chem Phys Lett 175:477–482

    Article  ADS  Google Scholar 

  • Burum DP, Ernst RR (1980) Net polarization transfer via a J-ordered state for signal enhancement of low-sensitivity nuclei. J Magn Reson 39:163–168

    Google Scholar 

  • Cavanagh J, Fairbrother WJ, Palmer AG, Rance M, Skelton N (2007) Protein NMR spectroscopy: principles and practice. Elsevier Academic Press, Burlington

    Google Scholar 

  • Chen K, Tjandra N (2011) Water proton spin saturation affects measured protein backbone (15)N spin relaxation rates. J Magn Reson 213:151–157

    Article  ADS  Google Scholar 

  • Chiarparin E, Pelupessy P, Ghose R, Bodenhausen G (1999) Relaxation of two-spin coherence due to cross-correlated fluctuations of dipole–dipole couplings and anisotropic shifts in NMR of N-15,C-13-labeled biomolecules. J Am Chem Soc 121:6876–6883

    Article  Google Scholar 

  • Chill JH, Louis JM, Baber JL, Bax A (2006) Measurement of N-15 relaxation in the detergent-solubilized tetrameric KcsA potassium channel. J Biomol NMR 36:123–136

    Article  Google Scholar 

  • 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

    Article  Google Scholar 

  • Farrow NA, Muhandiram R, Singer AU, Pascal SM, Kay CM, Gish G, Shoelson SE, Pawson T, Forman-Kay JD, Kay LE (1994) Backbone dynamics of a free and a phosphopeptide-complexed Src homology 2 domain studied by 15N NMR relaxation. Biochemistry 33:5984–6003

    Article  Google Scholar 

  • Favier A, Brutscher B (2011) Recovering lost magnetization: polarization enhancement in biomolecular NMR. J Biomol NMR 49:9–15

    Article  Google Scholar 

  • Felli IC, Desvaux H, Bodenhausen G (1998) Local mobility of N-15 labeled biomolecules characterized through cross-correlation rates: applications to paramagnetic proteins. J Biomol NMR 12:509–521

    Article  Google Scholar 

  • Ferrage F, Piserchio A, Cowburn D, Ghose R (2008) On the measurement of N-15-{H-1} nuclear Overhauser effects. J Magn Reson 192:302–313

    Article  ADS  Google Scholar 

  • Ferrage F, Cowburn D, Ghose R (2009) Accurate sampling of high-frequency motions in proteins by steady-state (15)N-{(1)H} nuclear Overhauser effect measurements in the presence of cross-correlated relaxation. J Am Chem Soc 131: 6048–+

    Google Scholar 

  • Ferrage F, Reichel A, Battacharya S, Cowburn D, Ghose R (2010) On the measurement of (15)N-{(1)H} nuclear Overhauser effects. 2. Effects of the saturation scheme and water signal suppression. J Magn Reson 207:294–303

    Article  ADS  Google Scholar 

  • Freeman R, Kempsell SP, Levitt MH (1980) Radiofrequency pulse sequences which compensate their own imperfections. J Magn Reson 38:453–479

    Google Scholar 

  • Fushman D, Cowburn D (1998) Model-independent analysis of N-15 chemical shift anisotropy from NMR relaxation data. Ubiquitin as a test example. J Am Chem Soc 120:7109–7110

    Article  Google Scholar 

  • Fushman D, Cowburn D (1999) The effect of noncollinearity of N-15-H-1 dipolar and N-15 CSA tensors and rotational anisotropy on N-15 relaxation, CSA/dipolar cross correlation, and TROSY. J Biomol NMR 13:139–147

    Article  Google Scholar 

  • Fushman D, Tjandra N, Cowburn D (1998) Direct measurement of N-15 chemical shift anisotropy in solution. J Am Chem Soc 120:10947–10952

    Article  Google Scholar 

  • Fushman D, Xu R, Cowburn D (1999) Direct determination of changes of interdomain orientation on ligation: use of the orientational dependence of N-15 NMR relaxation in Abl SH(32). Biochemistry 38:10225–10230

    Article  Google Scholar 

  • Garwood M, Ke Y (1991) Symmetrical pulses to induce arbitrary flip angles with compensation for RF inhomogeneity and resonance offsets. J Magn Reson 94:511–525

    Google Scholar 

  • Geen H, Freeman R (1991) Band-selective radiofrequency pulses. J Magn Reson 93:93–141

    Google Scholar 

  • Grzesiek S, Bax A (1993) The importance of not saturating H2O in protein NMR. Application to sensitivity enhancement and NOE measurement. J Am Chem Soc 115:12593

    Article  Google Scholar 

  • Hall JB, Fushman D (2003) Characterization of the overall and local dynamics of a protein with intermediate rotational anisotropy: differentiating between conformational exchange and anisotropic diffusion in the B3 domain of protein G. J Biomol NMR 27:261–275

    Article  Google Scholar 

  • Hall JB, Fushman D (2006) Variability of the N-15 chemical shielding tensors in the B3 domain of protein G from N-15 relaxation measurements at several fields. Implications for backbone order parameters. J Am Chem Soc 128:7855–7870

    Article  Google Scholar 

  • Hansen DF, Kay LE (2007) Improved magnetization alignment schemes for spin-lock relaxation experiments. J Biomol NMR 37:245–255

    Article  Google Scholar 

  • Hare BJ, Wyss DF, Osburne MS, Kern PS, Reinherz EL, Wagner G (1999) Structure, specificity and CDR mobility of a class II restricted single-chain T-cell receptor. Nat Struct Biol 6:574–581

    Article  Google Scholar 

  • Hornak V, Abel R, Okur A, Strockbine B, Roitberg A, Simmerling C (2006) Comparison of multiple amber force fields and development of improved protein backbone parameters. Prot Struct Funct Bioinform 65:712–725

    Article  Google Scholar 

  • Ishima R, Torchia DA (2000) Protein dynamics from NMR. Nat Struct Biol 7:740–743

    Article  Google Scholar 

  • Kay LE (1998) Protein dynamics from NMR. Nat Struct Biol 513–517

  • Kay LE, Torchia DA, Bax A (1989) Backbone dynamics of proteins as studied by 15 N inverse detected heteronuclear NMR spectroscopy: application to staphylococcal nuclease. Biochemistry 28:8972–8979

    Article  Google Scholar 

  • Kay LE, Keifer P, Saarinen T (1992) Pure absorption gradient enhanced heteronuclear single quantum correlation spectroscopy with improved sensitivity. J Am Chem Soc 114:10663–10665

    Article  Google Scholar 

  • Kern D, Zuiderweg ERP (2003) The role of dynamics in allosteric regulation. Curr Opin Struct Biol 13:748–757

    Article  Google Scholar 

  • Kobzar K, Skinner TE, Khaneja N, Glaser SJ, Luy B (2008) Exploring the limits of broadband excitation and inversion: II. Rf-power optimized pulses. J Magn Reson 194:58–66

    Article  ADS  Google Scholar 

  • Korzhnev DM, Skrynnikov NR, Millet O, Torchia DA, Kay LE (2002) An NMR experiment for the accurate measurement of heteronuclear spin-lock relaxation rates. J Am Chem Soc 124:10743–10753

    Article  Google Scholar 

  • Lee AL, Wand AJ (2001) Microscopic origins of entropy, heat capacity and the glass transition in proteins. Nature 411:501–504

    Article  ADS  Google Scholar 

  • Lee AL, Kinnear SA, Wand AJ (2000) Redistribution and loss of side chain entropy upon formation of a calmodulin-peptide complex. Nat Struct Biol 7:72–77

    Article  Google Scholar 

  • Li D-W, Brueschweiler R (2009) A dictionary for protein side-chain entropies from NMR order parameters. J Am Chem Soc 131:7226–7227

    Article  Google Scholar 

  • Markley JL, Horsley WJ, Klein MP (1971) Spin-lattice relaxation measurements in slowly relaxing complex spectra. J Chem Phys 55:3604–3605

    Google Scholar 

  • Massi F, Johnson E, Wang CY, Rance M, Palmer AG (2004) NMR R-1 rho rotating-frame relaxation with weak radio frequency fields. J Am Chem Soc 126:2247–2256

    Article  Google Scholar 

  • 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 C-13-labeled and fractionally H-2-enriched proteins in solution. J Am Chem Soc 124:6439–6448

    Article  Google Scholar 

  • Mitschang L, Keeler J, Davis AL, Oschkinat H (1992) Removal of zero-quantum interference in NOESY spectra of proteins by utilizing the natural inhomogeneity of the radiofrequency field. J Biomol NMR 2:545–556

    Article  Google Scholar 

  • Mittag T, Kay LE, Forman-Kay JD (2010) Protein dynamics and conformational disorder in molecular recognition. J Mol Recognit 23:105–116

    Google Scholar 

  • Mittermaier A, Kay LE (2006) Review—new tools provide new insights in NMR studies of protein dynamics. Science 312:224–228

    Article  ADS  Google Scholar 

  • Muhandiram DR, Yamaaki T, Sykes BD, Kay LE (1995) Measurement of 2H T1 and T1p relaxation times in uniformly 13C-labeled and fractionally 2H-labeled proteins in solution. J Am Chem Soc 117:11536–11544

    Article  Google Scholar 

  • Mulder FAA, de Graaf RA, Kaptein R, Boelens R (1998) An off-resonance rotating frame relaxation experiment for the investigation of macromolecular dynamics using adiabatic rotations. J Magn Reson 131:351–357

    Article  ADS  Google Scholar 

  • Nadaud PS, Helmus JJ, Jaroniec CP (2007) 13C and 15 N chemical shift assignments and secondary structure of the B3 immunoglobulin-binding domain of streptococcal protein G by magic-angle spinning solid-state NMR spectroscopy. Biomol NMR Assign 1:117–120

    Article  Google Scholar 

  • Namanja AT, Wang XJ, Xu B, Mercedes-Camacho AY, Wilson KA, Etzkorn FA, Peng JW (2011) Stereospecific gating of functional motions in Pin1. Proc Natl Acad Sci USA 108:12289–12294

    Article  Google Scholar 

  • Nietlispach D (2005) Suppression of anti-TROSY lines in a sensitivity enhanced gradient selection TROSY scheme. J Biomol NMR 31:161–166

    Article  Google Scholar 

  • Nirmala NR, Wagner G (1988) Measurement Of C-13 relaxation-times in proteins by two-dimensional heteronuclear H1-C-13 correlation spectroscopy. J Am Chem Soc 110:7557–7558

    Article  Google Scholar 

  • Palmer AG (2004) NMR characterization of the dynamics of biomacromolecules. Chem Rev (Washington, DC, US) 104:3623–3640

    Google Scholar 

  • Pelupessy P, Chiarparin E, Ghose R, Bodenhausen G (1999) Simultaneous determination of Psi and Phi angles in proteins from measurements of cross-correlated relaxation effects. J Biomol NMR 14:277–280

    Article  Google Scholar 

  • Peng JW, Wagner G (1992) Mapping of spectral density functions using heteronuclear NMR relaxation measurements. J Magn Reson 98:308–332

    Google Scholar 

  • Peng JW, Thanabal V, Wagner G (1991) 2d heteronuclear NMR measurements of spin-lattice relaxation-times in the rotating frame of X nuclei in heteronuclear HX spin systems. J Magn Reson 94:82–100

    Google Scholar 

  • Pervushin K, Riek R, Wider G, Wuthrich K (1997) Attenuated T-2 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

    Article  ADS  Google Scholar 

  • Pervushin KV, Wider G, Wuthrich K (1998) Single transition-to-single transition polarization transfer (ST2-PT) in [N15, H1]-TROSY. J Biomol NMR 12:345–348

    Article  Google Scholar 

  • Piotto M, Saudek V, Sklenár V (1992) Gradient-tailored excitation for single-quantum NMR spectroscopy of aqueous solutions. J Biomol NMR 2:661–665

    Article  Google Scholar 

  • Popovych N, Sun S, Ebright RH, Kalodimos CG (2006) Dynamically driven protein allostery. Nat Struct Mol Biol 13:831–838

    Article  Google Scholar 

  • Price DJ, Brooks CL (2002) Modern protein force fields behave comparably in molecular dynamics simulations. J Comput Chem 23:1045–1057

    Article  Google Scholar 

  • Reif B, Hennig M, Griesinger C (1997) Direct measurement of angles between bond vectors in high-resolution NMR. Science 276:1230–1233

    Article  Google Scholar 

  • Rinnenthal J, Buck J, Ferner J, Wacker A, Fuertig B, Schwalbe H (2011) Mapping the landscape of RNA dynamics with NMR spectroscopy. Acc Chem Res 44:1292–1301

    Article  Google Scholar 

  • Showalter SA, Bruschweiler R (2007) Validation of molecular dynamics simulations of biomolecules using NMR spin relaxation as benchmarks: application to the AMBER99SB force field. J Chem Theory Comput 3:961–975

    Article  Google Scholar 

  • Sklenar V, Torchia D, Bax A (1987) Measurement of C-13 longitudinal relaxation using H-1 detection. J Magn Reson 73:375–379

    Google Scholar 

  • Smith MA, Hu H, Shaka AJ (2001) Improved broadband inversion performance for NMR in liquids. J Magn Reson 151:269–283

    Article  ADS  Google Scholar 

  • Stocker U, van Gunsteren WF (2000) Molecular dynamics simulation of hen egg white lysozyme: a test of the GROMOS96 force field against nuclear magnetic resonance data. Prot Struct Funct Genet 40:145–153

    Article  Google Scholar 

  • Stone MJ (2001) NMR relaxation studies of the role of conformational entropy in protein stability and ligand binding. Acc Chem Res 34:379–388

    Article  Google Scholar 

  • Tjandra N, Feller SE, Pastor RW, Bax A (1995) Rotational diffusion anisotropy of human ubiquitin from N-15 NMR relaxation. J Am Chem Soc 117:12562–12566

    Article  Google Scholar 

  • Tjandra N, Szabo A, Bax A (1996) Protein backbone dynamics and N-15 chemical shift anisotropy from quantitative measurement of relaxation interference effects. J Am Chem Soc 118:6986–6991

    Article  Google Scholar 

  • Ulmer TS, Campbell ID, Boyd J (2004) Amide proton relaxation measurements employing a highly deuterated protein. J Magn Reson 166:190–201

    Article  ADS  Google Scholar 

  • Varadan R, Assfalg M, Haririnia A, Raasi S, Pickart C, Fushman D (2004) Solution conformation of Lys(63)-linked di-ubiquitin chain provides clues to functional diversity of polyubiquitin signaling. J Biol Chem 279:7055–7063

    Article  Google Scholar 

  • Walker O, Varadan R, Fushman D (2004) Efficient and accurate determination of the overall rotational diffusion tensor of a molecule from N-15 relaxation data using computer program ROTDIF. J Magn Reson 168:336–345

    Article  ADS  Google Scholar 

  • Wang AC, Bax A (1993) Minimizing the effects of radiofrequency heating in multidimensional NMR experiments. J Biomol NMR 3:715–720

    Article  Google Scholar 

  • Yang DW, Mok YK, FormanKay JD, Farrow NA, Kay LE (1997) Contributions to protein entropy and heat capacity from bond vector motions measured by NMR spin relaxation. J Mol Biol 272:790–804

    Article  Google Scholar 

  • Yang DW, Mittermaier A, Mok YK, Kay LE (1998) A study of protein side-chain dynamics from new H-2 auto- correlation and C-13 cross-correlation NMR experiments: application to the N-terminal SH3 domain from drk. J Mol Biol 276:939–954

    Article  Google Scholar 

  • Zhu G, Xia YL, Nicholson LK, Sze KH (2000) Protein dynamics measurements by TROSY-based NMR experiments. J Magn Reson 143:423–426

    Article  ADS  Google Scholar 

  • Zidek L, Novotny MV, Stone MJ (1999) Increased protein backbone conformational entropy upon hydrophobic ligand binding. Nat Struct Biol 6:1118–1121

    Article  Google Scholar 

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Acknowledgments

We thank Dennis A Torchia and Alex Grishaev for helpful discussions and computer simulations, Frank Delaglio for assistance with the evaluation of relaxation data and Alex Maltsev for help with the expression and purification of GB3. This work was funded by the Intramural Research Program of the National Institute of Diabetes and Digestive and Kidney Diseases, National Institutes of Health (NIH) and the Intramural AIDS-Targeted Antiviral Program of the Office of the Director, NIH.

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Correspondence to Ad Bax.

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Lakomek, NA., Ying, J. & Bax, A. Measurement of 15N relaxation rates in perdeuterated proteins by TROSY-based methods. J Biomol NMR 53, 209–221 (2012). https://doi.org/10.1007/s10858-012-9626-5

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