Causality principle in reconstruction of sparse NMR spectra

Non-uniform sampling offers a dramatic increase in the power and efficiency of magnetic resonance techniques in chemistry, molecular structural biology, and other fields. Here we show that use of the causality property of an NMR signal is a general approach for major reduction of measuring time and quality improvement of the sparsely detected spectra.

[1]  J. Herzfeld,et al.  Spectroscopy by integration of frequency and time domain information for fast acquisition of high-resolution dark spectra. , 2009, Journal of the American Chemical Society.

[2]  L. Gladden,et al.  Fast multidimensional NMR spectroscopy using compressed sensing. , 2011, Angewandte Chemie.

[3]  Stephen P. Boyd,et al.  Enhancing Sparsity by Reweighted ℓ1 Minimization , 2007, 0711.1612.

[4]  Steven P Gygi,et al.  In situ observation of protein phosphorylation by high-resolution NMR spectroscopy , 2008, Nature Structural &Molecular Biology.

[5]  V. Orekhov,et al.  Accelerated NMR spectroscopy by using compressed sensing. , 2011, Angewandte Chemie.

[6]  R. Brüschweiler,et al.  Covariance nuclear magnetic resonance spectroscopy. , 2004, The Journal of chemical physics.

[7]  Di Guo,et al.  Reconstruction of Self-Sparse 2D NMR Spectra from Undersampled Data in the Indirect Dimension† , 2011, Sensors.

[8]  Vladislav Yu Orekhov,et al.  Optimizing resolution in multidimensional NMR by three-way decomposition , 2003, Journal of biomolecular NMR.

[9]  A. Papoulis A new algorithm in spectral analysis and band-limited extrapolation. , 1975 .

[10]  E.J. Candes,et al.  An Introduction To Compressive Sampling , 2008, IEEE Signal Processing Magazine.

[11]  David L Donoho,et al.  NMR data processing using iterative thresholding and minimum l(1)-norm reconstruction. , 2007, Journal of magnetic resonance.

[12]  D. Donoho,et al.  Sparse MRI: The application of compressed sensing for rapid MR imaging , 2007, Magnetic resonance in medicine.

[13]  Sebastian Hiller,et al.  References and Notes Supporting Online Material Materials and Methods Figures S1 to S5 Table S1 References Solution Structure of the Integral Human Membrane Protein Vdac-1 in Detergent Micelles , 2022 .

[14]  J. Hoch,et al.  Enhanced sensitivity by nonuniform sampling enables multidimensional MAS NMR spectroscopy of protein assemblies. , 2012, The journal of physical chemistry. B.

[15]  Krzysztof Kazimierczuk,et al.  A comparison of convex and non-convex compressed sensing applied to multidimensional NMR. , 2012, Journal of magnetic resonance.

[16]  Brian E Coggins,et al.  Generalized reconstruction of n-D NMR spectra from multiple projections: application to the 5-D HACACONH spectrum of protein G B1 domain. , 2004, Journal of the American Chemical Society.

[17]  J. Skilling,et al.  Reconstruction of phase-sensitive two-dimensional nuclear-magnetic-resonance spectra using maximum entropy , 1986 .

[18]  Vladislav Yu Orekhov,et al.  High-resolution four-dimensional 1H-13C NOE spectroscopy using methyl-TROSY, sparse data acquisition, and multidimensional decomposition. , 2005, Journal of the American Chemical Society.

[19]  D. Marion Processing of ND NMR spectra sampled in polar coordinates: a simple Fourier transform instead of a reconstruction , 2006, Journal of biomolecular NMR.

[20]  G. G. Stokes "J." , 1890, The New Yale Book of Quotations.

[21]  Gerhard Wagner,et al.  Application of iterative soft thresholding for fast reconstruction of NMR data non-uniformly sampled with multidimensional Poisson Gap scheduling , 2012, Journal of Biomolecular NMR.

[22]  S. Hyberts,et al.  Poisson-gap sampling and forward maximum entropy reconstruction for enhancing the resolution and sensitivity of protein NMR data. , 2010, Journal of the American Chemical Society.

[23]  Iddo Drori,et al.  Fast Minimization by Iterative Thresholding for Multidimensional NMR Spectroscopy , 2007, EURASIP J. Adv. Signal Process..

[24]  Masaki Mishima,et al.  Protein structure determination in living cells by in-cell NMR spectroscopy , 2009, Nature.

[25]  M. Mayzel,et al.  Time-resolved multidimensional NMR with non-uniform sampling , 2014, Journal of biomolecular NMR.

[26]  Toshimichi Fujiwara,et al.  Boosting protein dynamics studies using quantitative nonuniform sampling NMR spectroscopy. , 2011, The journal of physical chemistry. B.

[27]  Gareth A. Morris,et al.  Reference deconvolution. Elimination of distortions arising from reference line truncation , 1991 .

[28]  S. Hyberts,et al.  FM reconstruction of non-uniformly sampled protein NMR data at higher dimensions and optimization by distillation , 2009, Journal of biomolecular NMR.

[29]  Martin Billeter,et al.  MUNIN: Application of three-way decomposition to the analysis of heteronuclear NMR relaxation data** , 2001, Journal of biomolecular NMR.

[30]  M. Shirakawa,et al.  High-resolution heteronuclear multidimensional NMR of proteins in living insect cells using a baculovirus protein expression system. , 2013, Journal of the American Chemical Society.

[31]  Martin Billeter,et al.  Novel Sampling Approaches in Higher Dimensional NMR , 2012 .

[32]  R. Stephenson A and V , 1962, The British journal of ophthalmology.

[33]  Richard R. Ernst,et al.  Fourier Spectroscopy and the Causality Principle , 1973 .

[34]  Vladislav Yu Orekhov,et al.  Removal of a time barrier for high-resolution multidimensional NMR spectroscopy , 2006, Nature Methods.

[35]  Wan-Wan Lin,et al.  Carcinoma-produced factors activate myeloid cells through TLR2 to stimulate metastasis , 2009, Nature.

[36]  W. Marsden I and J , 2012 .