Skip to main content
Log in

Anisotropic rotation in nucleic acid fragments: significance for determination of structures from NMR data

  • Published:
European Biophysics Journal Aims and scope Submit manuscript

Abstract

Proton-proton relaxation rate constants depend on the angle between the internuclear vector and the principal axis of rotation in symmetric top molecules. It is possible to determine to rotational correlation times of the equivalent ellipsoid for DNA fragments from a knowledge of the axial ratio and the cross-relaxation rate constant for the cytosine H6-H5 vectors. The cross-relaxation rate constants for the cytosine H6-H5 vectors have been measured in the 14-base-pair sequence dGCTGTTGACAATTA.dTAATTGTCAACAGC at four temperatures. The results, along with literature data for DNA fragments ranging from 6 to 20 base pairs can be accounted for by a simple hydrodynamic equation based on the formalism of Woessner (1962). The measured cross-relaxation rate constant is independent of position in the sequence and is consistent with the absence of large amplitude internal motions on the Larmor time scale. All the data can be described by a simple hydrodynamic model, which accounts for the rotational anisotropy of the DNA fragments and allows the correlation time for end-over-end tumbling to be determined if the approximate rise per base pair is known. This is the correlation time that dominates the spectral density functions for internucleotide vectors and is significantly different from that calculated for a sphere of the same hydrodynamic volume for fragments containing more than about 14 base pairs. This method therefore allows NOE intensities used for structure calculation of nucleic acids to be treated more rigorously.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  • Borgias BA, James TL (1988) COMATOSE, a method for constained refinement of macromoleculer structure based on twodimensional nuclear Overhauser enhancement spectra. J Magn Reson 79:493–512

    Google Scholar 

  • Cantor CR, Schimmel PR (1980) Biophysical chemistry, part III, chap 10. Freeman, San Francisoc

    Google Scholar 

  • Eimer W, Williamson JR, Boxer SG, Pecora R (1990) Characterisation of the overall and internal dynamics of short oligonucleotides by depolarised dynamic light scattering and NMR relaxation measurements. Biochemistry 29:799–811

    Google Scholar 

  • Forster MJ, Lane AN (1990) 31P NMR relaxation measurements of the phosphate backbone of a double-stranded hexanucleotide in solution: determination of the chemical shift anisotropy. Eur J Biophys 18:347–355

    Google Scholar 

  • Hogan ME, Jardetzky O (1979) Internal motions in DNA. Proc Natl Acad Sci 76:6341–6345

    Google Scholar 

  • Hogan ME, Jardetzky O (1980) Internal motions in deoxyribonucleic acid II. Biochemistry 19:3460–3468

    Google Scholar 

  • Lane AN (1989) NMR assignments and temperature-dependent conformational transitions of a mutant trp operator-promoter in solution. Biochem J 259:715–724

    Google Scholar 

  • Lane AN (1990) The determination of the conformational properties of nucleic acids in solution from NMR data. Biochim Biophys Acta 1049:189–204

    Google Scholar 

  • Lane AN, Forster MJ (1989) Determination of internal dynamics of deoxyriboses in the DNA hexamer d(CGTACG)2 by 1H NMR. Eur Biophys J 17:221–232

    Google Scholar 

  • Lane AN, Lefèvre J-F, Jardetzky O (1986) A method for evaluating correlation times for tumbling and internal motions in macromolecules using cross relaxation rate constants from proton NMR spectra. J Magn Reson 66:201–218

    Google Scholar 

  • Lefèvre J-F, Lane AN, Jardetzky O (1987) Solution structure of the Trp operator of Escherichia coli determined by NMR. Biochemistry 26:5076–5090

    Google Scholar 

  • Lipari G, Szabo A (1981) Nuclear magnetic resonance relaxation in nucleic acid fragments: models for internal motion. Biochemistry 20:6250–6256

    Google Scholar 

  • Lipari G, Szabo A (1982) Model-free approach to the interpretation of nuclear magnetic resonance relaxation in macromolecules. J Am Chem Soc 104:4546–4558

    Google Scholar 

  • McCammon JA, Harvey SC (1987) Dynamics of proteins and nucleic acids. Cambridge University Press, Cambridge

    Google Scholar 

  • Nerdal W, Hare DR, Reid BR (1989) Solution structure of the EcoR1 DNA sequence: refinement of NMR-derived distance geometry structures by NOESY spectrum back-calculations. Biochemistry 28:10008–10021

    Google Scholar 

  • Nilges M, Clore GM, Gronenborn AM, Brünger AT, Karplus M, Nilsson L (1987a) Refinement of the solution structure of the DNA hexamer 5′d(GCATGC)2: combined use of NMR and restrained molecular dynamics. Biochemistry 26:3718–3733

    Google Scholar 

  • Nilges M, Clore GM, Gronenborn AM, Piel N, McLaughlin LW (1987b) Refinement of the solution structure of the DNA decamer 5′d(CTGGATCCAG)2: combined use of NMR and restrained molecular dynamics. Biochemistry 26:3735–3744

    Google Scholar 

  • Patel DJ, Shapiro L, Hare D (1987) Nuclear magnetic resonance studies and distance geometry studies of DNA structures in solution. Q Rev Biophys 20:35–112

    Google Scholar 

  • Tirado MM, Garcia de la Torre J (1979) Translational friction coefficients of rigid, symmetric top macromolecules. Application to circular cylinders. J Chem Phys 71:2581–2587

    Google Scholar 

  • Tirade, MM, Garcia de la Torre J (1980) Rotational dynamics of rigid, symmetric top macromolecules. Application to circular cylinders. J Chem Phys 73:1986–1993

    Google Scholar 

  • Wilbur DW, DeFries T, Jonas J (1976) Diffusion in compressed liquid heavy water. J Chem Phys 65:1783–1788

    Google Scholar 

  • Woessner DE (1962) Nuclear spin relaxation in ellipsoids undergoing rotational Brownian motion. J Chem Phys 37:647–654

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Offprint requests to: A.N. Lane

Rights and permissions

Reprints and permissions

About this article

Cite this article

Birchall, A.J., Lane, A.N. Anisotropic rotation in nucleic acid fragments: significance for determination of structures from NMR data. Eur Biophys J 19, 73–78 (1990). https://doi.org/10.1007/BF00185089

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00185089

Key words

Navigation