Sufficiency of diffusion tensor in characterizing the diffusion MRI signal to leading order in diffusion weighting

NMR in Biomedicine

Volumn 27, Issue 8, 2014, Pages 1005-1007

  Jensen, Jens H ^a  

^a MEDICAL UNIVERSITY OF SOUTH CAROLINA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; DIFFUSION; DIFFUSION TENSOR IMAGING; DIFFUSION WEIGHTED IMAGING; PRIORITY JOURNAL; NUCLEAR MAGNETIC RESONANCE IMAGING; PROCEDURES; SIGNAL PROCESSING; THEORETICAL MODEL; TIME;

DIFFUSION TENSOR IMAGING; MAGNETIC RESONANCE IMAGING; MODELS, THEORETICAL; SIGNAL PROCESSING, COMPUTER-ASSISTED; TIME FACTORS;

EID: 84904797038     PISSN: 09523480     EISSN: 10991492     Source Type: Journal    
DOI: 10.1002/nbm.3145     Document Type: Article

References (18)

1. Basser PJ, Mattiello J, LeBihan D. MR diffusion tensor spectroscopy and imaging. Biophys. J. 1994; 66: 259-267.
2. Shemesh N, Özarslan E, Komlosh ME, Basser PJ, Cohen Y. From single-pulsed field gradient to double-pulsed field gradient MR: gleaning new microstructural information and developing new forms of contrast in MRI. NMR Biomed. 2010; 23: 757-780.
3. Avram AV, Özarslan E, Sarlls JE, Basser PJ. In vivo detection of microscopic anisotropy using quadruple pulsed-field gradient (qPFG) diffusion MRI on a clinical scanner. Neuroimage 2013; 64: 229-239.
4. Gore JC, Xu J, Colvin DC, Yankeelov TE, Parsons EC, Does MD. Characterization of tissue structure at varying length scales using temporal diffusion spectroscopy. NMR Biomed. 2010; 23: 745-756.
5. Jespersen SN. Equivalence of double and single wave vector diffusion contrast at low diffusion weighting. NMR Biomed. 2012; 25: 813-818.
6. Novikov DS, Kiselev VG. Surface-to-volume ratio with oscillating gradients. J. Magn. Reson. 2011; 210: 141-145.
7. Novikov DS, Kiselev VG. Effective medium theory of a diffusion-weighted signal. NMR Biomed. 2010; 23: 682-697.
8. Stejskal EO, Tanner JE. Spin diffusion measurements: spin echoes in the presence of a time-dependent field gradient. J. Chem. Phys. 1965; 42: 288-292.
9. Jensen JH, Helpern JA, Ramani A, Lu H, Kaczynski K. Diffusional kurtosis imaging: the quantification of non-Gaussian water diffusion by means of magnetic resonance imaging. Magn. Reson. Med. 2005; 53: 1432-1440.
10. Stepišnik J. Validity limits of Gaussian approximation in cumulant expansion for diffusion attenuation of spin echo. Physica B, 1999; 270: 110-117.
11. Kiselev VG. The cumulant expansion: an overarching mathematical framework for understanding diffusion NMR. In: Jones DK (ed.). Diffusion MRI: Theory, Methods and Applications. Oxford University Press: Oxford; 2010, Chapter 10.
12. Reif F. Fundamentals of Statistical and Thermal Physics. McGraw-Hill: New York; 1965, pp. 594-600.
13. Onsager L. Reciprocal relations in irreversible processes. I. Phys. Rev. 1931; 37: 405-426.
14. Onsager L. Reciprocal relations in irreversible processes. II. Phys. Rev. 1931; 38: 2265-2279.
15. Basser PJ. Relationships between diffusion tensor and q-space MRI. Magn. Reson. Med. 2002; 47: 392-397.
16. Mattiello J, Basser PJ, LeBihan D. Analytical expressions for the b matrix in NMR diffusion imaging and spectroscopy. J. Magn. Reson. A, 1994; 108: 131-141.
17. Jensen JH, Helpern JA. MRI quantification of non-Gaussian water diffusion by kurtosis analysis. NMR Biomed. 2010; 23: 698-710.
18. Jensen JH, Hui ES, Helpern JA. Double-pulsed diffusional kurtosis imaging. NMR Biomed. 2014; 27: 363-370.