Abstract
The increased power of nmr as an analytical and structure determining method arises from the development of two-dimensional methods in which spectral maps reflect through-bond and through-space connectivities between atoms. The interpretation of these maps is made complex by many factors, including the large number of such connectivities in many applications, the multiplicity of the spectral elements, and the limited signal-to-noise ratio. As one element of solving these problems, we have developed methods to simplify the cataloging of positions and intensities of peaks, and for examining and selecting among them. Linear Predictive Singular Value Decomposition is one numerical method used for the extraction of peak characteristics. Simple tools have been developed to select among spectral characteristics, to reduce multiplets to single peaks, and to incorporate pre-existing chemical information into the analysis. Characteristics of this approach of parametric estimation permit somewhat different approaches to experimental design. This may be particularly valuable in the determination of multiple vicinal coupling constants about single bonds.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
W. P. Aue, E. Bartholdi, and R. R. Ernst, J. Chem. Phys. 64, 2229–46 (1976).
R. R. Ernst, G. Bodenhausen, and A. Wokaun, in “Principles of Nuclear Magnetic Resonance in One and Two Dimensions”, Oxford University Press, Oxford (1987).
K. Wüthrich, “NMR of Proteins and Nucleic Acids”, Wiley-Interscience, New York (1986).
A. Bax, Ann. Rev. Biochem., 58, 223–256 (1989).
R. R. Ernst, Chimia 41, 323–340 (1987).
L. P. Mclntosh, F. W. Dahlquist, and A. G. Redfield, J. Biomolec. Struct Dyn. 5, 21–34 (1987).
H. Oschkinat, C. Griesinger, P. J. Kraulis, O. W. Sørensen, R. R. Ernst, A. M. Gronenborn, and G. M. Clore, Nature 332, 374–376 (1988).
P. A. Bottomley, H. C. Charles, P. B. Roemer, D. Flamig, H. Engeseth, W. A. Edelstein, and O. M. Mueller, Mag. Res. Med. 7, 319–336 (1988).
P. Pfändler, G. Bodenhausen, B. U. Meier, and R. R. Ernst, Anal. Chem., 57, 2510, (1985).
O. Lichtarge, C. W. Cornelius, B. G. Buchanan, and O. Jardetzky, Proteins 2, 340–358 (1987).
T. J. Harner, G. C. Levy, E. J. Dudewicz, F. Delaglio, and A. Kumar, Artificial Intelligence, Logic Programming, and Statistics in Magnetic Resonance Imaging and Spectrsocopic Analysis, in “Artificial Intelligence Applications in Chemistry,” T. H. Pierce and B. A. Holme, ed., pp. 337–349, American Chemical Society, Washington, D. C. (1986).
R. R. Ernst, Adv. Magn. Res., 2, (1968).
R. R. Ernst and W. A. Anderson, The Review of Scientific Instruments 37, 93–102, (1966).
W. Dietrich, B. Fröhlich, U. Günther, and M. Wiecken, Fresnius Z. Anal. Chem., 316, 227–230 (1983).
R. E. Hoffman and G. C. Levy, J. Mag. Res. 83, 411–417 (1989).
P. J. M. van Laarhoven and E. H. L. Aarts, “Simulated Annealing: The Theory and Applications,” D. Reidel, Dordrecht (1987).
F. DiGennaro and D. Cowburn, J. Magn. Res., in press (1991).
R. Kumaresan and D. W. Tufts, IEEE Trans. Acoust., Speech, Signal Processing, ASSP-30, 833–840 (1982).
H. Barkuijsen, R. de Beer, W. M. M. J. Bovee, and D. van Ormondt, J. Magn. Res. 61, 465–481 (1985).
J. Tang, C. W. Lin, M. K. Bowman, and J. R. Norris, J. Magn. Res. 62, 167–171 (1985).
J. Tang and J. R. Norris, J. Magn. Res. 78(1), 23–30 (1988).
A. E. Schussheim and D. Cowburn, J. Magn. Res. 71, 371–378 (1987).
H. Gesmar and J. J. Led, J. Mag. Res. 83, 53–64 (1989).
J. Gorcester and J. H. Freed, J. Magn. Res., 78(2), 292–301 (1988).
J. Glushka and D. Cowburn, J. Am. Chem. Soc. 109, 7879–7888 (1987).
D. Cowburn and J. Chaudhary, Quantum Chemistry Program Exchange Notes, 9, 97 (1989).
G. M. Clore, A. Bax, P. Wingfield, and A. M. Gronenborn, FEBS Letters 238, 17–21, (1988).
V. F. Bystrov, “Progress in NMR Spectroscopy” 10, 41-81, Pergamon Press (1976).
A. J. Fischman, D. H. Live, H. R. Wyssbrod, W. C. Agosta, and D. Cowburn, J. Am. Chem. Soc. 102, 2533–2599 (1980).
D. Cowburn, D. H. Live, A. J. Fischman, and W. C. Agosta, J. Am. Chem. Soc, 105, 7435–7442, (1983).
G. T. Montelione and G. Wagner, J.A.C.S. 111, 5474–5475, (1989).
D. Neri, G. Otting, and K. Wiithrich, J. Am. Chem. Soc. 112, 3663–3665 (1990).
G. W. Vuister and R. Boelens, J. Mag. Res., 73, 382 (1987).
D. H. Live, D. G. Davis, W. C. Agosta, and D. Cowburn, J. Am. Chem. Soc. 106, 6104–6105, (1984).
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1991 Springer Science+Business Media New York
About this chapter
Cite this chapter
Cowburn, D., Glushka, J., DiGennaro, F., Rios, C.B. (1991). Parametric Estimation in 1-D, 2-D, and 3-D NMR. In: Hoch, J.C., Poulsen, F.M., Redfield, C. (eds) Computational Aspects of the Study of Biological Macromolecules by Nuclear Magnetic Resonance Spectroscopy. NATO ASI Series, vol 225. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-9794-7_2
Download citation
DOI: https://doi.org/10.1007/978-1-4757-9794-7_2
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4757-9796-1
Online ISBN: 978-1-4757-9794-7
eBook Packages: Springer Book Archive