Understanding NMR T2 spectral uncertainty

Journal of Magnetic Resonance

Volumn 204, Issue 1, 2010, Pages 118-123

  Prange, Michael ^a   Song, Yi Qiao ^a  

^a SCHLUMBERGER DOLL RESEARCH   (United States)

Author keywords

Diffusion; Laplace inversion; Monte Carlo; Relaxation; Uncertainty

Indexed keywords

DIFFUSION DATA; EXPONENTIAL FITTING; ILL-CONDITIONED; INVERSION METHODS; INVERSION SCHEME; LAPLACE INVERSIONS; MONTE CARLO; NMR RELAXATION; SIMPLE METHOD; SPECTRAL REPRESENTATIONS; SPECTRAL SOLUTIONS; SPECTRAL UNCERTAINTY;

DIFFUSION; LAPLACE TRANSFORMS; MONTE CARLO METHODS; NUCLEAR MAGNETIC RESONANCE;

UNCERTAINTY ANALYSIS;

ALGORITHM; ARTICLE; METHODOLOGY; NUCLEAR MAGNETIC RESONANCE SPECTROSCOPY; REPRODUCIBILITY; SENSITIVITY AND SPECIFICITY; STATISTICAL ANALYSIS;

ALGORITHMS; DATA INTERPRETATION, STATISTICAL; MAGNETIC RESONANCE SPECTROSCOPY; REPRODUCIBILITY OF RESULTS; SENSITIVITY AND SPECIFICITY;

EID: 77950188186     PISSN: 10907807     EISSN: 10960856     Source Type: Journal    
DOI: 10.1016/j.jmr.2010.02.010     Document Type: Article

References (15)

1. Wiscombe W.J., and Evans J.W. Exponential-sum fitting of radiative transmission functions. Journal of Computational Physics 24 4 (1977) 416-444
2. Evans J.W., Gragg W.B., and LeVeque R.J. On least squares exponential sum approximatin with positive coefficients. Mathematics of Computation 34 149 (1980) 203-211
3. Tittelbach-Helmrich K. An integration method for the analysis of multiexponential transient signals. Measurement Science and Technology 4 (1993) 1323-1329
4. Å. Ukkelberg, G.H. Sørlandb, E.W. Hansen, H.C. Widerøe, ANAHESS, a new second order inverse Laplace transform algorithm, in: Presentation at the Ninth International Bologna Conference on Magnetic Resonance in Porous Media (MRPM9), Cambridge MA, USA, 2008.
5. 2 correlation spectra obtained using a fast two-dimensional laplace inversion. Journal of Magnetic Resonance 154 (2002) 261-268
6. Epstein C.L., and Schotland J. The bad truth about Laplace's transform. SIAM Review 50 3 (2008) 504-520
7. Prange M., and Song Y.-Q. Quantifying uncertainty in NMR T2 spectra using Monte Carlo inversion. Journal of Magnetic Resonance 196 (2009) 54-60
8. Akaike H. A new look at the statistical model identification. IEEE Transactions on Automatic Control 19 6 (1974) 716-723
9. Parker R.L., and Song Y.-Q. Assigning uncertainties in the inversion of NMR relaxation data. Journal of Magnetic Resonance 174 (2005) 314-324
10. Sivia D.S. Data Analysis: A Bayesian Tutorial. second ed. (2007), Oxford University Press, Oxford, UK
11. Robert C.P., and Casella G. Monte Carlo Statistical Methods (2004), Springer, New York
12. Lawson C.L., and Hanson R.J. Solving Least Squares Problems (1974), Prentice-Hall, Englewood Cliffs, NJ
13. Burnham K.P., and Anderson D.R. Model Selection and Multimodel Inference. second ed. (2002), Springer, New York
14. Liddle A.R. Information criteria for astrophysical model selection. Monthly Notices of the Royal Astronomical Society: Letters 377 1 (2007) L74-L78
15. Kleinberg R.L. Well logging. Encyclopedia of Nuclear Magnetic Resonance vol. 8 (1996), Wiley, New York 4960-4969