Equivalence of double and single wave vector diffusion contrast at low diffusion weighting

NMR in Biomedicine

Volumn 25, Issue 6, 2012, Pages 813-818

  Jespersen, Sune Nørhøj ^a  

^a AARHUS UNIVERSITY   (Denmark)

Author keywords

Cell size; Compartment shape anisotropy; Cumulant expansion; Diffusion; Double pulsed field gradient; Gaussian phase approximation; Higher order tensors

Indexed keywords

CELL SIZE; CUMULANT EXPANSION; HIGHER-ORDER TENSOR; PHASE APPROXIMATIONS; PULSED FIELD GRADIENTS; SHAPE ANISOTROPY;

ANISOTROPY; TENSORS;

DIFFUSION;

ANISOTROPY; ARTICLE; DIFFUSION TENSOR IMAGING; DIFFUSION WEIGHTED IMAGING; HUMAN; INFORMATION; NUCLEAR MAGNETIC RESONANCE IMAGING; PRIORITY JOURNAL; PULSED FIELD GEL ELECTROPHORESIS; SENSITIVITY ANALYSIS; SIGNAL NOISE RATIO; STANDARD;

ALGORITHMS; DIFFUSION MAGNETIC RESONANCE IMAGING; IMAGE ENHANCEMENT; IMAGE INTERPRETATION, COMPUTER-ASSISTED; REPRODUCIBILITY OF RESULTS; SENSITIVITY AND SPECIFICITY;

EID: 84860649760     PISSN: 09523480     EISSN: 10991492     Source Type: Journal    
DOI: 10.1002/nbm.1808     Document Type: Article

References (31)

1. Cory DG, Garroway AN, Miller JB. Applications of spin transport as a probe of local geometry. Polym. Prep. Am. Chem. Soc. Div. Polym. Chem. 1990; 31: 149.
2. Finsterbusch J. multiple-wave-vector diffusion-weighted NMR. In: Graham AW (ed.). Annual Reports on NMR Spectroscopy, Vol. 72. Academic Press: Burlington; 2011, pp. 225-299.
3. 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(7): 757-780.
4. Mitra PP. Multiple wave-vector extensions of the NMR pulsed-field-gradient spin-echo diffusion measurement. Phys. Rev. B, 1995; 51(21): 15074-15078.
5. Weber T, Ziener CH, Kampf T, Herold V, Bauer WR, Jakob PM. Measurement of apparent cell radii using a multiple wave vector diffusion experiment. Magn. Reson. Med. 2009; 61(4): 1001-1006.
6. Shemesh N, Özarslan E, Basser PJ, Cohen Y. Measuring small compartmental dimensions with low-q angular double-PGSE NMR: the effect of experimental parameters on signal decay. J. Magn. Reson. 2009; 198(1): 15-23.
7. Shemesh N, Özarslan E, Bar-Shir A, Basser PJ, Cohen Y. Observation of restricted diffusion in the presence of a free diffusion compartment: single- and double-PFG experiments. J. Magn. Reson. 2009; 200(2): 214-225.
8. Shemesh N, Cohen Y. Microscopic and compartment shape anisotropies in gray and white matter revealed by angular bipolar double-PFG MR. Magn. Reson. Med. 2011; 65(5): 1216-1227.
9. Shemesh N, Adiri T, Cohen Y. Probing microscopic architecture of opaque heterogeneous systems using double-pulsed-field-gradient NMR. J. Am. Chem. Soc. 2011; 133(15): 6028-6035.
10. Komlosh ME, Özarslan E, Lizak MJ, Horkay F, Schram V, Shemesh N, Cohen Y, Basser PJ. Pore diameter mapping using double pulsed-field gradient MRI and its validation using a novel glass capillary array phantom. J. Magn. Reson. 2011; 208(1): 128-135.
11. Komlosh ME, Lizak MJ, Horkay F, Freidlin RZ, Basser PJ. Observation of microscopic diffusion anisotropy in the spinal cord using double-pulsed gradient spin echo MRI. Magn. Reson. Med. 2008; 59(4): 803-809.
12. Komlosh ME, Horkay F, Freidlin RZ, Nevo U, Assaf Y, Basser PJ. Detection of microscopic anisotropy in gray matter and in a novel tissue phantom using double pulsed gradient spin echo MR. J. Magn. Reson. 2007; 189(1): 38-45.
13. Koch MA, Finsterbusch J. Compartment size estimation with double wave vector diffusion-weighted imaging. Magn. Reson. Med. 2008; 60(1): 90-101.
14. Shemesh N, Özarslan E, Basser PJ, Cohen Y. Accurate noninvasive measurement of cell size and compartment shape anisotropy in yeast cells using double-pulsed field gradient MR. NMR Biomed. 2011. DOI: 10.1002/nbm.1737.
15. Koch MA, Finsterbusch J. Towards compartment size estimation invivo based on double wave vector diffusion weighting. NMR Biomed. 2011. DOI: 10.1002/nbm.1711.
16. Jespersen SN, Buhl N. The displacement correlation tensor: microstructure, ensemble anisotropy and curving fibers. J. Magn. Reson. 2011; 208(1): 34-43.
17. Novikov DS, Kiselev VG. Effective medium theory of a diffusion-weighted signal. NMR Biomed. 2010; 23(7): 682-697.
18. Novikov DS, Kiselev VG. Surface-to-volume ratio with oscillating gradients. J. Magn. Reson. 2011; 210(1): 141-145.
19. Jespersen SN, Buhl N. The displacement correlation tensor from double wave vector diffusion experiments encodes information about pore microstructure and ensemble properties. Proceedings of the 19th Annual Meeting ISMRM, Montreal, QC, Canada, 2011; 1995.
20. Mitra PP, Halperin BI. Effects of finite gradient-pulse widths in pulsed-field-gradient diffusion measurements. J. Magn. Reson. Ser. A, 1995; 113(1): 94-101.
21. 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(6): 1432-1440.
22. Özarslan E. Compartment shape anisotropy (CSA) revealed by double pulsed field gradient MR. J. Magn. Reson. 2009; 199(1): 56-67.
23. Lawrenz M, Koch MA, Finsterbusch J. A tensor model and measures of microscopic anisotropy for double-wave-vector diffusion-weighting experiments with long mixing times. J. Magn. Reson. 2010; 202(1): 43-56.
24. Jeffreys H. Isotropic tensors. P. Camb. Philos. Soc. 1973; 73(Jan): 173-176.
25. Batchelor PG, Moakher M, Atkinson D, Calamante F, Connelly A. A rigorous framework for diffusion tensor calculus. Magn. Reson. Med. 2005; 53(1): 221-225.
26. Basser PJ, Pierpaoli C. Microstructural and physiological features of tissues elucidated by quantitative-diffusion-tensor MRI. J. Magn. Reson. B, 1996; 111(3): 209-219.
27. Assaf Y, Blumenfeld-Katzir T, Yovel Y, Basser PJ. AxCaliber: a method for measuring axon diameter distribution from diffusion MRI. Magn. Reson. Med. 2008; 59(6): 1347-1354.
28. Lawrenz M, Finsterbusch J. Detection of microscopic diffusion anisotropy on a whole-body MR system with double wave vector imaging. Magn. Reson. Med. 2011; 66: 1405-1415.
29. Özarslan E, Basser PJ. MR diffusion-'diffraction' phenomenon in multi-pulse-field-gradient experiments. J. Magn. Reson. 2007; 188(2): 285-294.
30. Shemesh N, Özarslan E, Basser PJ, Cohen Y. Detecting diffusion-diffraction patterns in size distribution phantoms using double-pulsed field gradient NMR: theory and experiments. J. Chem. Phys. 2010; 132(3): 034703-1-034703-12.
31. Shemesh N, Cohen Y. The effect of experimental parameters on the signal decay in double-PGSE experiments: negative diffractions and enhancement of structural information. J. Magn. Reson. 2008; 195(2): 153-161.