Limitations of apparent diffusion coefficient-based models in characterizing non-Gaussian diffusion

Magnetic Resonance in Medicine

Volumn 54, Issue 2, 2005, Pages 419-428

  Liu, Chunlei ^a,b   Bammer, Roland ^a   Moseley, Michael E ^a  

^a STANFORD UNIVERSITY   (United States)

^b Stanford University   (United States)

Author keywords

ADC; Diffusion; Diffusion tensor imaging; GDTI; High angular resolution; HOT; Magnetic resonance imaging; Probability density function

Indexed keywords

CLUSTERING ALGORITHMS; DIFFUSION; GAUSSIAN DISTRIBUTION; GAUSSIAN NOISE (ELECTRONIC); MAGNETIC RESONANCE IMAGING; MONTE CARLO METHODS; PROBABILITY DENSITY FUNCTION; SPINNING (FIBERS); SURFACE DIFFUSION; TENSORS;

APPARENT DIFFUSION COEFFICIENT; ASYMMETRIC STRUCTURES; GDTI; GENERALIZED DIFFUSION; HETEROGENEOUS STRUCTURES; HIGH ANGULAR RESOLUTIONS; MULTIPLE ORIENTATIONS; NON-GAUSSIAN DIFFUSIONS;

DIFFUSION TENSOR IMAGING;

ARTICLE; COMPUTER SIMULATION; DIFFUSION COEFFICIENT; DIFFUSION TENSOR IMAGING; MATHEMATICAL ANALYSIS; MODEL; NUCLEAR MAGNETIC RESONANCE IMAGING; PHANTOM; PROBABILITY;

EID: 22744450648     PISSN: 07403194     EISSN: None     Source Type: Journal    
DOI: 10.1002/mrm.20579     Document Type: Article

References (34)

1. Basser PJ, Mattiello J, Turner R, Le Bihan D. Diffusion tensor echoplanar imaging of human brain. In: Proceedings of the SMRM, 1993. p 584.
2. Moseley ME, Cohen Y, Kucharczyk J. Early detection of regional cerebral ischemic injury in cats: evaluation of diffusion and T2-weighted MRI and spectroscopy. Magn Reson Med 1990;14:330-346.
3. Basser PJ, Pjevic S, Pierpaoli C, Duda J, Aldroubi A. In vivo fiber tractography using DT-MRI data. Magn Reson Med 2000;44:625-632.
4. Wiegell MR, Larson HB, Wedeen VJ. Fiber crossing in human brain depicted with diffusion tensor MR imaging. Radiology 2000;217:897-903.
5. Poupon C, Clark CA, Frouin V, Regis J, Bloch I, Le Bihan D, Mangin J. Regularization of diffusion-based direction maps for the tracking of brain white matter fascicles. Neuroimage 2000;12:184-195.
6. Pierpaoli C, Barnett A, Pajevic S, Chen R, Penix LR, Virta A, Basser PJ. Water diffusion changes in Wallerian degeneration and their dependence on white matter architecture. Neuroimage 2001;13:1174-1185.
7. Tuch DS, Weisskoff RM, Belliveau JW, Wedeen VJ. High angular resolution diffusion imaging of the human brain. In: Proceedings of the 7th Annual Meeting of ISMRM, Philadelphia, 1999. p321.
8. Frank LR. Anisotropy in high angular resolution diffusion-weighted MRI. Magn Reson Med 2001;45:935-939.
9. Frank LR. Characterization of anisotropy in high angular resolution diffusion-weighted MRI. Magn Reson Med 2002;47:1083-1099.
10. Tuch DS, Reese TG, Wiegell MR, Makris N, Belliveau JW, Wedeen VJ. High angular resolution diffusion imaging reveals intravoxel white matter fiber heterogeneity. Magn Reson Med 2002;48:577-582.
11. Alexander DC, Barker GJ, Arridge SR. Detection and modeling of non-gaussian apparent diffusion coefficient profiles in human brain data. Magn Reson Med 2002;48:331-40.
12. Wedeen VJ, Reese TG, Tuch DS, Wiegell MR, Dou JG, Weisskoff RM, Chessler D. In: Proceedings of the 8th Annual Meeting of ISMRM, Denver, 2000. p 82.
13. Lin CP, Wedeen VJ, Chen JH, Yao C, Tseng WY. Validation of diffusion spectrum magnetic resonance imaging with manganese-enhanced rat optic tracts and ex vivo phantoms. Neuroimage 2003;19:482-495.
14. Liu C, Bammer R, Acar B, Moseley ME, Generalized diffusion tensor imaging (GDTI) using higher order tensor (HOT) statistics. In: Proceedings of the 11th Annual Meeting of ISMRM, Toronto, Canada, 2003. p 242.
15. Liu C, Bammer R, Acar B, Moseley ME, Characterizing non-gaussian diffusion by using generalized diffusion tensors. Magn Reson Med 2004;51:924-937.
16. Liu C, Bammer R, Moseley ME, Generalized diffusion tensor imaging (GDTI): a method for characterizing and imaging diffusion anisotropy caused by non-gaussian diffusion. Israel J Chem 2003;43:145-154.
17. Özarslan E, Mareci TH. Generalized diffusion tensor imaging and analytical relationships between diffusion tensor imaging and high angular resolution diffusion imaging. Magn Reson Med 2003;50:955-965.
18. Tuch DS, Reese TG, Wiegell MR, Wedeen VJ. Diffusion MRI of complex neural architecture Neuron 2003;40:885-895.
19. Tuch DS. Q-ball imaging. Magn Reson Med 2004;52:1358-1372.
20. Callaghan P. T., Principles of nuclear magnetic resonance microscopy. Oxford, UK: Oxford Scientific Publications; 1991. Ch 7.
21. 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.
22. Mitra PP, Sen PN. Effects of microgeometry and surface relaxation on NMR pulsed-field-gradient experiments: simple pore geometries. Phys Rev B 1992:45:143-156.
23. Kramers HA. Physica 1940;7:284.
24. Moyal JE. J Roy Stat Soc (London) 1949;B11:150.
25. Le Bihan D, Breton E, Lallemand D, Grenier P, Cabanis E, Laval-Jeantet M. MR imaging of intravoxel incoherent motions: application to diffusion and perfusion in neurologic disorders. Radiology 1986;161:401-407.
26. Kendall MB, Stuart A. The advanced theory of statistics. New York: Halsted Press; 1994. Vol. 1
27. McCullagh P. Tensor methods in statistics. New York: Chapman & Hall,: 1987.
28. Carr HY, Purcell EM. Effects of diffusion on free precession in nuclear magnetic resonance experiments. Phys Rev 1954;94:630-638.
29. Johnson C. K., Addition of higher cumulants to the crystallographic structure-factor equation: a generalized treatment for thermal-motion effects. Acta Crystallogr 1969;A25:187-194.
30. Liu C, Bammer R, Kim DH, Moseley ME. Self-navigated interleaved spiral (SNAILS): application to high-resolution diffusion tensor imaging. Magn Reson Med 2004;52:1388-1396.
31. Elisabeth AH, von dem Hagen R. Mark Henkelman. Orientational diffusion reflects fiber structure within a voxel. Magn Reson Med 2002;48:454-459.
32. Assaf Y, Mayk A, Cohen Y. Displacement imaging of spinal cord using q-space diffusion-weighted MRI. Magn Reson Med 2000;44:713-722.
33. Ordidge RJ, Helpern JA, Qing Z, Knight RA, Nagesh V. Correction of motional artifacts in diffusion-weighted MR images using navigator echoes. Magn Reson Imaging 1994;12:455-460.
34. Anderson AW, Gore JC. Analysis and correction of motion artifacts in diffusion weighted imaging. Magn Reson Med 1994;32:379-387.