Relaxation times of spin states of all ranks and orders of quadrupolar nuclei estimated from NMR z-spectra: Markov chain Monte Carlo analysis applied to 7Li+ and 23Na+ in stretched hydrogels

Journal of Magnetic Resonance

Volumn 212, Issue 1, 2011, Pages 40-46

  Kuchel, Philip W ^a,b   Naumann, Christoph ^b   Puckeridge, Max ^b   Chapman, Bogdan E ^b   Szekely, David ^c  

^a AGENCY FOR SCIENCE   (Singapore)

^b UNIVERSITY OF SYDNEY   (Australia)

^c VICTOR CHANG CARDIAC RESEARCH INSTITUTE   (Australia)

Author keywords

Aligned media in NMR; Markov chain Monte Carlo method; Parameter estimation; Residual quadrupolar coupling; Stretched gel; z spectrum

Indexed keywords

CHAINS; ESTIMATION; HYDROGELS; MARKOV PROCESSES; NUCLEAR MAGNETIC RESONANCE; PARAMETER ESTIMATION; RATE CONSTANTS; SPIN DYNAMICS;

COEFFICIENTS OF VARIATIONS; MARKOV CHAIN MONTE CARLO METHOD; MARKOV CHAIN MONTE-CARLO; MATHEMATICAL REPRESENTATIONS; QUADRUPOLAR COUPLING; QUADRUPOLAR NUCLEUS; RELAXATION RATE CONSTANT; Z-SPECTRUM;

MONTE CARLO METHODS;

CARRAGEENAN; DEUTERIUM OXIDE; ISOTOPE; LITHIUM; SODIUM; WATER;

ALGORITHM; ARTICLE; CHEMISTRY; HYDROGEL; MONTE CARLO METHOD; NUCLEAR MAGNETIC RESONANCE SPECTROSCOPY; PROBABILITY; RADIOFREQUENCY RADIATION; STATISTICAL ANALYSIS;

ALGORITHMS; CARRAGEENAN; DATA INTERPRETATION, STATISTICAL; DEUTERIUM OXIDE; HYDROGELS; ISOTOPES; LITHIUM; MAGNETIC RESONANCE SPECTROSCOPY; MARKOV CHAINS; MONTE CARLO METHOD; RADIO WAVES; SODIUM; SODIUM ISOTOPES; WATER;

EID: 84855375434     PISSN: 10907807     EISSN: 10960856     Source Type: Journal    
DOI: 10.1016/j.jmr.2011.06.006     Document Type: Article

References (23)

1. J. Grad, R.G. Bryant, J. Magn. Reson. 90 (1990) 1-8.
2. U. Eliav, C. Naumann, G. Navon, P.W. Kuchel, J. Magn. Reson. 198 (2009) 197-203.
3. B.E. Chapman, C. Naumann, D. Philp, U. Eliav, G. Navon, P.W. Kuchel, J. Magn. Reson. 205 (2010) 260-268.
4. P.W. Kuchel, B.E. Chapman, N. Müeller, W.A. Bubb, D.J. Philp, A.M. Torres, J. Magn. Reson. 180 (2006) 256-265.
5. G. Kummerlöwe, F. Halbach, B. Laufer, B. Luy, Open Spectrosc. J. 2 (2008) 29-33.
6. P.J. Hore, J.A. Jones, S. Wimperis, NMR: The Toolkit, Oxford University Press, Oxford, 2000.
7. M.H. Levitt, Spin Dynamics, second ed., John Wiley & Sons, Chichester, UK, 2008.
8. N. Müller, G. Bodenhausen, R.R. Ernst, J. Magn. Reson. 75 (1987) 297-334.
9. C.W. Chung, S. Wimperis, Mol. Phys. 76 (1992) 47-81.
10. S. Wolfram, The Mathematica Book, Version 8.0.1.0. Wolfram Media Inc., Champaign, IL, 2011.
11. D. Szekely, J.I. Vandenberg, S. Dokos, A.P. Hill, Med. Biol. Eng. Comput. 49 (2011) 289-296.
12. E.T. Jaynes, Probability Theory: The Logic of Science, Cambridge University Press, Cambridge, UK, 2003 (5th printing, 2009).
13. G.L. Bretthorst, W.C. Hutton, J. R Barbow, J.J.H. Ackermann, Concepts Magn. Reson. A 27A (2005) 55-63.
14. G.L. Bretthorst, W.C. Hutton, J. R Barbow, J.J.H. Ackermann, Concepts Magn. Reson. A 27A (2005) 64-72.
15. G.L. Bretthorst, Concepts Magn. Reson. A 27A (2005) 63-73.
16. S. Cavadini, P.R. Vasos, Concepts Magn. Reson. A 32A (2008) 68-78.
17. N.N. Yadav, A.M. Torres, W.S. Price, J. Magn. Reson. 204 (2010) 346-348.
18. R.J. Kemp-Harper, Development of Multi-Pulse NMR Methods for Investigation of Sodium Ions In Vivo. DPhil Thesis, Exeter College, Oxford University, UK, 1997 (Supervisors: S. Wimperis, P. Styles).
19. B. Halle, I. Furo, J. Magn. Reson. 98 (1992) 388-407.
20. U. Eliav, G. Navon, J. Magn. Reson. A 115 (1995) 241-253.
21. C. Naumann, P.W. Kuchel, Polym. Chem. 1 (2010) 1109-1116.
22. P.J. Mulquiney, P.W. Kuchel, Modelling Metabolism with Mathematica, CRC Press, Boca Raton, FL, 2003.
23. J. Kowalewski, L. Mäler, Nuclear Spin Relaxation in Liquids: Theory Experiments and Applications, Taylor and Francis, NY, 2006.