Compressed sensing and the reconstruction of ultrafast 2D NMR data: Principles and biomolecular applications

Journal of Magnetic Resonance

Volumn 209, Issue 2, 2011, Pages 352-358

  Shrot, Yoav ^a   Frydman, Lucio ^a  

^a WEIZMANN INSTITUTE OF SCIENCE   (Israel)

Author keywords

Biomolecular spectroscopy; Compressed sensing; Non linear reconstruction; Ultrafast 2D NMR

Indexed keywords

BIO-MOLECULAR; BIOMOLECULAR SPECTROSCOPY; COMPRESSED SENSING; GRADIENT STRENGTH; ITERATIVE RECONSTRUCTION; ITERATIVE RECONSTRUCTION ALGORITHMS; NON-LINEAR RECONSTRUCTION; NONUNIFORM SAMPLING; OSCILLATING FIELDS; SIMULTANEOUS RECORDING; SPATIAL ENCODING; SPECTRAL CONSTRAINTS; SPECTRAL DIMENSIONS; ULTRA-FAST; ULTRAFAST 2D NMR; ULTRAFAST NMR;

ENCODING (SYMBOLS); OPTIMIZATION; SIGNAL RECONSTRUCTION;

EXPERIMENTS;

NITROGEN; UBIQUITIN;

ALGORITHM; ARTICLE; CHEMISTRY; IMAGE PROCESSING; INFORMATION PROCESSING; METHODOLOGY; NUCLEAR MAGNETIC RESONANCE; NUCLEAR MAGNETIC RESONANCE IMAGING; STATISTICS;

ALGORITHMS; DATA COMPRESSION; IMAGE PROCESSING, COMPUTER-ASSISTED; MAGNETIC RESONANCE IMAGING; NITROGEN RADIOISOTOPES; NUCLEAR MAGNETIC RESONANCE, BIOMOLECULAR; UBIQUITIN;

EID: 79953175549     PISSN: 10907807     EISSN: 10960856     Source Type: Journal    
DOI: 10.1016/j.jmr.2011.01.017     Document Type: Article

References (28)

1. J. Jeener, Lecture Presented at Ampere International Summer School II, Basko Polje, Yugoslavia, 1971.
2. R.R. Ernst, G. Bodenhausen, A. Wokaun, Principles of Nuclear Magnetic Resonance in One and Two Dimensions, Oxford, 1987.
3. E. Kupce, and R. Freeman Two-dimensional hadamard spectroscopy J. Magn. Reson. 162 2003 300 310
4. E. Kupce, T. Nishida, and R. Freeman Hadamard NMR spectroscopy Prog. Nucl. Magn. Reson. Spectrosc. 42 2003 95
5. D. Jeannerat High resolution in the indirectly detected dimension exploiting the processing of folded spectra Magn. Reson. Chem. 38 2000 415
6. S. Kim, and T. Szyperski GFT NMR, a new approach to rapidly obtain precise high-dimensional NMR spectral information J. Am. Chem. Soc. 125 2003 1385
7. E. Kupce, and R. Freeman Projection-reconstruction technique for speeding up multidimensional NMR spectroscopy J. Am. Chem. Soc. 126 2004 6429
8. S. Hiller, F. Fiorito, K. Wüthrich, and G. Wider Automated projection spectroscopy (APSY) Proc. Natl. Acad. Sci. USA 102 2005 10876
9. V.A. Mandelshtam The multidimensional filter diagonalization method. I. Theory and numerical implementation J. Magn. Reson. 144 2000 343
10. J.C. Hoch, and A.S. Stern Maximum entropy reconstruction, spectrum analysis and deconvolution in multidimensional nuclear magnetic resonance Methods Enzymol. 338 2001 159
11. D. Marion Fast acquisition of NMR spectra using Fourier transform of non-equispaced data J. Biomol. NMR 32 2005 141 150 (Pubitemid 41102317)
12. K. Kazimierczuk, W. Kozminski, and I. Zhukov Two-dimensional Fourier transform of arbitrarily sampled NMR data sets J. Magn. Reson. 179 2006 323 328
13. I. Drori, Fast l1 minimization by iterative thresholding for multidimensional NMR spectroscopy. EURASIP. J. Adv. Signal. PR. (2007) 1.
14. L. Frydman, T. Scherf, and A. Lupulescu The acquisition of multi-dimensional NMR spectra within a single scan Proc. Natl. Acad. Sci. USA 99 2002 15859 15862
15. Y. Shrot, and L. Frydman Spatial encoding strategies for ultrafast multidimensional nuclear magnetic resonance J. Chem. Phys. 128 2008 052209
16. M. Gal, and L. Frydman Ultrafast Multidimensional NMR: Principles and Practice of Single-scan Methods G.A. Morris, J.W. Emsley, Multidimensional NMR Methods for the Solution State 2010 John Wiley & Sons Ltd Chichester, UK 43 60
17. M. Mishkovsky, and L. Frydman Interlaced Fourier transformation of ultrafast 2D NMR data J. Magn. Reson. 173 2005 344 350 (Pubitemid 40352459)
18. P. Pelupessy, L. Duma, and G. Bodenhausen Improving resolution in single-scan 2D spectroscopy J. Magn. Reson. 194 2008 169 174
19. A. Tal, B. Shapira, and L. Frydman Single-scan 2D hadamard NMR spectroscopy Angew. Chem. 121 2009 2770
20. Y. Shrot, and L. Frydman Spatial/spectral encoding of the spin interactions in ultrafast multidimensional NMR J. Chem. Phys. 131 2009 #224512
21. D. Donoho Compressed sensing IEEE Trans. Inform. Theory 52 2006 1289
22. E.J. Candes, J. Romberg, and T. Tao Robust uncertainty principles: exact signal reconstruction from highly incomplete frequency information IEEE Trans. Inform. Theory 52 2006 489
23. A.S. Stern, D. Donoho, and J.C. Hoch NMR data processing using iterative thresholding and minimum l1-norm reconstruction J. Magn. Reson. 188 2007 295 300 (Pubitemid 47562806)
24. M. Lustig, D. Donoho, and J.M. Pauly Sparse MRI: the application of compressed sensing for rapid MR imaging Magn. Reson. Med. 58 2007 1182 1195 (Pubitemid 350234205)
25. M. Lustig, D. Donoho, J.M. Santos, and J.M. Pauly Compressed sensing MRI IEEE Signal Process. 25 2008 72 82
26. G.L. Bretthorst Nonuniform sampling: bandwidth and aliasing Concepts Magn. Reson. A 32 2008 417 435
27. K. Kazimierczuk, J. Stanek, A. Zawadzka, and W. Kozminski Random sampling in multidimensional NMR spectroscopy Prog. NMR Spect. 57 2010 420 434
28. P. Pelupessy Adiabatic single scan two-dimensional NMR spectrocopy J. Am. Chem. Soc. 125 2003 12345 12350 (Pubitemid 37238865)