Abstract
The 13Cα chemical shifts for 16,299 residues from 213 conformations of four proteins (experimentally determined by X-ray crystallography and Nuclear Magnetic Resonance methods) were computed by using a combination of approaches that includes, but is not limited to, the use of density functional theory. Initially, a validation test of this methodology was carried out by a detailed examination of the correlation between computed and observed 13Cα chemical shifts of 10,564 (of the 16,299) residues from 139 conformations of the human protein ubiquitin. The results of this validation test on ubiquitin show agreement with conclusions derived from computation of the chemical shifts at the ab initio Hartree–Fock level. Further, application of this methodology to 5,735 residues from 74 conformations of the three remaining proteins that differ in their number of amino acid residues, sequence and three-dimensional structure, together with a new scoring function, namely the conformationally averaged root-mean-square-deviation, enables us to: (a) offer a criterion for an accurate assessment of the quality of NMR-derived protein conformations; (b) examine whether X-ray or NMR-solved structures are better representations of the observed 13Cα chemical shifts in solution; (c) provide evidence indicating that the proposed methodology is more accurate than automated predictors for validation of protein structures; (d) shed light as to whether the agreement between computed and observed 13Cα chemical shifts is influenced by the identity of an amino acid residue or its location in the sequence; and (e) provide evidence confirming the presence of dynamics for proteins in solution, and hence showing that an ensemble of conformations is a better representation of the structure in solution than any single conformation.
Similar content being viewed by others
References
Allerhand A, Childers RF, Oldfield E (1973) Natural-abundance carbon-13 nuclear magnetic resonance studies in 20-mm sample tubes. Observation of numerous single-carbon resonances of Hen Egg-White Lysozyme. Biochem 12:1335–1241
Amann BT, Worthington MT, Berg JMA (2003) A Cys3His zinc-binding domain from Nup475/Tristetraprolin: a novel fold with a disklike structure. Biochem 42:217–221
Babini E, Bertini I, Capozzi F, Del Bianco C, Hollender D, Kiss T, Luchinat C, Quattrone A (2004) Solution structure of human β-parvalbumin and structural comparison with its paralog α-parvalbumin and with their rat orthologs. Biochem 43:16076–16085
Ban Y-E, Rudolph J, Zhou P, Edelsbrunner H (2006) Evaluating the quality of NMR structures by local density of protons. Proteins 62:852–864
Berman HM, Westbrook J, Feng Z, Gilliland G, Bhat TN, Weissig H, Shindyalov IN, Bourne PE (2000) The Protein Data Bank. Nucleic Acids Res 28:235–242
Biological Magnetic Resonance Data Bank (http://www.bmrb.wisc.edu)
Case DA (2000) Interpretation of chemical shifts and coupling constants in macromolecules. Curr Opin Struct Biol 10:197–203
Case DA, Dyson HJ, Wright PE (1994) Use of chemical shifts and coupling constant in nuclear magnetic resonance structural studies on peptides and proteins. Methods Enzymol 239:392–416
Celda B, Biamonti C, Arnau MJ, Tejero R, Montelione GT (1995) Combined use of 13C chemical shift and 1Hα–13Cα heteronuclear NOE data in monitoring a protein NMR structure refinement. J Biomol NMR 5:161–172
Chakrabarti P, Pal D (1998) Main-chain conformational features at different conformations of the side-chains in proteins. Protein Eng 11:631–647
Chesnut DB, Moore KD (1989) Locally dense basis sets for chemical shift calculations. J Comp Chem 10:648–659
Cornilescu G, Marquardt JL, Ottiger M, Bax A (1998) Validation of protein structure from anisotropic carbonyl chemical shifts in a diluite liquid crystalline phase. J Am Chem Soc 120:6836–6837
Cornilescu G, Delaglio F, Bax A (1999) Protein backbone angle restraints from searching a database for chemical shift and sequence homology. J Biomol NMR 13:289–302
de Dios AC, Pearson JG, Oldfield E (1993a) Chemical shifts in proteins: ab initio study of carbon-13 nuclear magnetic resonance chemical shielding in glycine, alanine and valine residues. J Am Chem Soc 115:9768–9773
de Dios AC, Pearson JG, Oldfield E (1993b) Secondary and tertiary structural effects on protein NMR chemical shifts: an ab initio approach. Science 260:1491–1496
Doreleijers JF, Rullmann JAC, Kaptein R (1998) Quality assessment of NMR structures: a statistical survey. J Mol Biol 281:149–164
Dunbrack RL Jr, Karplus M (1994) Conformational analysis of the backbone-dependent rotamer preferences of protein sidechains. Nat Struct Biol 1:334–340
Dyson HJ, Wright PE (2005) Elucidation of the protein folding landscape by NMR. Methods Enzymol 394:299–321
Frisch MJ, Trucks GW, Schlegel HB, Scuseria GE, Robb MA, Cheeseman JR, Zakrzewski VG, Montgomery JA, Stratmann RE Jr, Burant JC, Dapprich S, Millam JM, Daniels AD, Kudin KN, Strain MC, Farkas O, Tomasi J, Barone V, Cossi M, Cammi R, Mennucci B, Pomelli C, Adamo C, Clifford S, Ochterski J, Petersson GA, Ayala PY, Cui Q, Morokuma K, Malick DK, Rabuck AD, Raghavachari K, Foresman JB, Cioslowski J, Ortiz JV, Baboul AG, Stefanov BB, Liu G, Liashenko A, Piskorz P, Komaromi I, Gomperts R, Martin RL, Fox DJ, Keith T, Al-Laham MA, Peng CY, Nanayakkara A, Gonzalez C, Challacombe M, Gill PMW, Johnson B, Chen W, Wong MW, Andres JL, Gonzalez C, Head-Gordon M, Replogle ES, Pople JA (1998) Gaussian 98. Revision A.7, Inc., Pittsburgh, PA
Havlin RH, Le H, Laws DD, de Dios AC, Oldfield E (1997) An ab initio quantum chemical investigation of carbon-13 NMR shielding tensors in glycine, alanine, valine, isoleucine, serine, and threonine: comparisons between helical and sheet tensors, and effects of χ1 on shielding. J Am Chem Soc 119:11951–11958
Hehre WJ, Radom L, Schleyer P, Pople JA (1986) Ab initio molecular orbital theory. Wiley, New York
Howard OW, Lilley DMJ (1978) Carbon-13-NMR of peptides and proteins. Prog Nucl Magn Reson Spectrosc 12:1–40
Hunter C, Packer MJ, Zonta C (2005) From structure to chemical shift and vice-versa. Prog Nucl Magn Reson Spectrosc 47:27–39
Iwadate M, Asakura T, Williamson MP (1999) 13Cα and 13Cβ carbon-13 chemical shifs in protein from an empirical database. J Biomol NMR 13:199–211
Jameson CJ (1996) Understanding NMR chemical shifts. Annu Rev Phys Chem 47:135–169
Kuszewski J, Qin JA, Gronenborn AM, Clore GM (1995) The impact on direct refinement against 13Cα and 13Cβ chemical shifts on protein structure determination by NMR. J Magn Reson Ser B 106:92–96
Laskowski RA, MacArthur MW, Moss DS, Thornton JM (1993) PROCHECK: a program to check the stereochemical quality of protein structures. J Appl Cryst 26:283–291
Laskowski RA, Rullmann JAC, MacArthur MW, Kaptein R, Thornton J (1996) AQUA and PROCHECK-NMR: programs for checking the quality of protein structures solved by NMR. J Biomol NMR 8:477–486
Laws DD, Le H, de Dios AC, Havlin RH, Oldfield E (1995) A basis size dependence study of Carbon-13 nuclear magnetic resonance spectroscopic shielding in Alanyl and Valyl fragments: toward protein shielding hypersurfaces. J Am Chem Soc 117:9542–9546
Lindorff-Larsen K, Best RB, Depristo MA, Dobson CM, Vendruscolo M (2005) Simultaneous determination of protein structure and dynamics. Nature 433:128–132
Luginbühl P, Szyperski T, Wüthrich KJ (1995) Statistical basis for the use of 13Cα chemical shifts in protein structure determination. Magn Resn B 109:220–233
Malthouse JPG (1985) 13C NMR of enzymes. Prog Nucl Magn Reson Spectrosc 18:1–59
Meiler JJ (2003) PROSHIFT: protein chemical shift prediction using artificial neural networks. J Biomol NMR 26:25–37
Melnik BS, Garbuzynskiy SO, Lobanov MYu, Galzitskaya OV (2005) The difference between protein structures obtained by X-ray analysis and nuclear magnetic resonance. J Mol Biol 39:113–122
Moon S, Case DA (2006) A comparison of quantum chemical models for calculating NMR shielding parameters in peptides: mixed basis set and ONION methods combined with a complete basis set extrapolation. J Comp Chem 27:825–836
Morris AL, MacArthur MW, Hutchinson EG, Thornton JM (1992) Stereochemical quality of protein structure coordinates. Proteins 12:345–364
Nabuurs SB, Nederveen AJ, Vranken W, Doreleijers JF, Bonvin AMJJ, Vuister GW, Vriend G, Spronk CAEM (2004) DRESS: a database of Refined solution NMR structures. Proteins 55:483–486
Napper S, Delbaere LTJ, Waygood BEJ (1999) Histidine-containing protein, HPr, of the Escherichia coli phosphoenolpyruvate:sugar phosphotransferase system can accept and donate a phosphoryl group. J Biol Chem 274:21776–21782
Neal S, Nip AM, Zhang H, Wishart DS (2003) Rapid and accurate calculation of protein 1H, 13C and 15N chemical shifts. J Biomol NMR 26:215–240
Némethy G, Gibson KD, Palmer KA, Yoon CN, Paterlini G, Zagari A, Rumsey S, Scheraga HA (1992) Energy parameters in polypeptides. 10. Improved geometrical parameters and nonbonded interactions for use in the ECEPP/3 algorithm, with application to proline-containing peptides. J Phys Chem 96:6472–6484
Oldfield E (2002) Chemical shifts in amino acids, peptides and proteins: from quantum chemistry to drug design. Annu Rev Phys Chem 53:349–378
Oldfield E, Allerhand A (1975) Identification of tryptophan resonances in natural abundance C-13 nuclear magnetic-resonance spectra of protein. Application of partially relaxed fourier-transform spectroscopy. J Am Chem Soc 97:221–224
Pearson JG, Le H, Sanders LK, Godbout N, Havlin RH, Oldfield EJ (1997) Predicting chemical shifts in proteins: structure refinement of valine residues by using ab initio and empirical geometry optimizations. J Am Chem Soc 119:11941–11950
Pearson JG, Wang J-F, Markley JL, Le H, Oldfield E (1995) Protein structure refinement using carbon-13 nuclear magnetic resonance spectroscopic chemical shifts and quantum chemistry. J Am Chem Soc 117:8823–8829
Pontius J, Richelle J, Wodak SJ (1996) Deviations from standard atomic volumes as a quality measure for protein crystal structures. J Mol Biol 264:121–136
Press HW, Teukolsky SA, Vetterling WT, Flannery BP (1992) In: Numerical recipes in Fortran 77. The art of scientific computing, 2nd edn. Cambridge University Press, Ch. 14, pp 630–633
Ripoll DR, Vorobjev YN, Liwo A, Vila JA, Scheraga HA (1996) Coupling between folding and ionization equilibria: effects of pH on the conformational preferences of polypeptides. J Mol Biol 264:770–783
Ripoll DR, Vila JA, Scheraga HA (2005) On the Orientation of the Backbone Dipoles in Native Folds. Proc Natl Acad Sci USA 102:7559–7564
Ripoll DR, Vila JA, Scheraga HA (2004) Folding of the Villin headpiece subdomain from random structures. Análisis of the charge distribution as function of pH. J Mol Biol 339:915–925
Simon K, Xu J, Kim C, Skrynnikov NR (2005) Estimating the accuracy of protein structures using residual dipolar couplings. J Biomol NMR 33:83–93
Spera S, Bax A (1991) Empirical correlation between protein backbone conformation and Cα and Cβ 13C nuclear magnetic resonance chemical shifts. J Am Chem Soc 113:5490–5492
Schubert M, Laudde D, Oschkinat H, Schmieder P (2002) A software tool for the prediction of Xaa-Pro peptide bond conformations in proteins based on 13C chemical shift statistic. J Biomol NMR 24:149–154
Sun H, Sanders LK, Oldfield E (2002) Carbon-13 NMR shielding in the twenty common amino acids: comparisons with experimental results in proteins. J Am Chem Soc 124:5486–5495
van Nuland NAJ, Hangyi IW, van Schaik RC, Berendsen HJC, van Gunsteren WF, Scheek RM, Robillard GT (1994) The high-resolution structure of the histidine-containing phosphocarrier protein HPr from Escherichia coli determined by restrained molecular dynamics from nuclear magnetic resonance nuclear Overhauser effect data. J Mol Biol 237:544–559
Vijay-Kumar S, Bugg CE, Cook WJ (1987) Structure of ubiquitin refined at 1.8 Å resolution. J Mol Biol 194:531–544
Vila JA, Baldoni HA, Ripoll DR, Scheraga HA (2003) Unblocked statistical-coil tetrapeptides in aqueous solution: quantum-chemical computation of the carbon-13 NMR chemical shifts. J Biomol NMR 26:113–130
Vila JA, Baldoni HA, Ripoll DR, Ghosh A, Scheraga HA (2004a) Polyproline II helix conformation in a proline-rich enviroment: a theoretical study. Biophys J 86:731–742
Vila JA, Baldoni HA, Ripoll DR, Scheraga HA (2004b) Fast and accurate computation of the 13C chemical shifts for an alanine-rich peptide. Proteins 57:87–98
Vila JA, Ripoll DR, Baldoni HA, Scheraga HA (2002) Unblocked statistical-coil tetrapeptides and pentapeptides in aqueous solution: a theoretical study. J Biomol NMR 24:245–262
Vila JA, Ripoll DR, Scheraga HA (2007) Use of 13Cα chemical shifts in protein structure determination. J Phys Chem B (in press)
Villegas ME, Vila JA, Scheraga HA (2007) Effects of side-chain orientation on the 13C chemical shifts of antiparallel β-sheet model peptides. J Biomol NMR 37:137–146
Vriend GJ (1990) A molecular modeling and drug design. Mol Graph 8:52–56
Vriend G, Sander C (1993) Quality control of protein models: directional atomic contact analysis. J Appl Crystallogr 26:47–60
Wang Y, Jardetzky O (2002) Probability-based protein secondary structure identification using combined NMR chemical-shift data. Protein Sci 11:852–861
Wilson KS, Dauter Z, Lamzin VS, Walsh M, Wodak S, Richelle J, Pontius J, Vaguine A, Laskowski JM, MacArthur MW, Dodson E, Murshudov G, Oldfield TJ, Kaptein R, Rullmann JAC (1998) Who checks the checkers? Four validation tools applied to eight atomic resolution structures. J Mol Biol 276:417–436
Wishart DS, Case DA (2001) Use of chemical shifts in macromolecular structure determination. Methods Enzymol 338:3–34
Wishart DS, Bigam CG, Yao J, Abildgaard F, Dyson HJ, Oldfield E, Markley JL, Sykes BD (1995) 1H, 13C and 15N chemical shift referencing in biomolecular NMR. J Biomol NMR 6:135–140
Wishart DS, Nip AM (1998) Protein chemical shift analysis: a practical guide. Biochem Cell Biol 76:153–163
Xu X-P, Case DAJ (2001) Automatic prediction of 15N, 13Cα, 13Cβ and 13C′ chemical shifts in proteins using a density functional database. J Biomol NMR 21:321–333
Xu X-P, Case DA (2002) Probing multiple effects on 15N, 13Cα, 13Cβ and 13C′ chemical shifts in peptides using density functional theory. Biopolymers 65:408–423
Zhao D, Jardetzky O (1994) An assessment of the precision and accuracy of protein structures determined by NMR. Dependence on distance erros. J Mol Biol 239:601–607
Acknowledgments
We thank B.T. Amann for providing us with the reference used for the 13C chemical shifts of protein 1M9O, and Yelena Arnautova for helpful suggestions. This research was supported by grants from the National Institutes of Health (GM-14312, TW-6335, and GM-24893), and the National Science Foundation (MCB05-41633). Support was also received from the National Research Council of Argentina (CONICET), FONCyT-ANPCyT (PAE 22642 / 22672), and from the Universidad Nacional de San Luis [UNSL] (P-328501), Argentina. This research was conducted using the resources of: (1) two Beowulf-type clusters located at (a) the Instituto de Matemática Aplicada San Luis (CONICET-UNSL); and (b) the Baker Laboratory of Chemistry and Chemical Biology, Cornell University; and (2) the National Science Foundation Terascale Computing System at the Pittsburgh Supercomputer Center.
Author information
Authors and Affiliations
Corresponding author
Electronic supplementary material
Below is the link to the electronic supplementary material.
Rights and permissions
About this article
Cite this article
Vila, J.A., Villegas, M.E., Baldoni, H.A. et al. Predicting 13Cα chemical shifts for validation of protein structures. J Biomol NMR 38, 221–235 (2007). https://doi.org/10.1007/s10858-007-9162-x
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10858-007-9162-x