Orientationally invariant metrics of apparent compartment eccentricity from double pulsed field gradient diffusion experiments

NMR in Biomedicine

Volumn 26, Issue 12, 2013, Pages 1647-1662

  Jespersen, Sune Nørhøj ^a   Lundell, Henrik ^b   Sønderby, Casper Kaae ^b   Dyrby, Tim B ^b  

^a AARHUS UNIVERSITY   (Denmark)

^b HVIDOVRE HOSPITAL   (Denmark)

Author keywords

Diffusion MRI; Eccentricity; Fractional anisotropy; Microscopic anisotropy; Microstructure; Multiple pulsed field gradient diffusion MRI; Rotational invariance

Indexed keywords

DIFFUSION MRIS; ECCENTRICITY; FRACTIONAL ANISOTROPY; MICROSCOPIC ANISOTROPIES; ROTATIONAL INVARIANCES;

ANISOTROPY; DESIGN; DIFFUSION TENSOR IMAGING; GROUP THEORY; MAGNETIC RESONANCE IMAGING; MICROSTRUCTURE; TENSORS;

DIFFUSION;

ANISOTROPY; ARTICLE; BRAIN CORTEX; CAUDATE NUCLEUS; CORPUS CALLOSUM; DIFFUSION; DIFFUSION TENSOR IMAGING; DISPERSION; FRACTIONAL ANISOTROPY; GRAY MATTER; MOTOR CORTEX; NEUROIMAGING; NONHUMAN; PRIORITY JOURNAL; PUTAMEN; PYRAMIDAL TRACT; SENSORY CORTEX; SIGNAL NOISE RATIO; SIMULATION; WHITE MATTER;

PRIMATES;

DIFFUSION MRI; ECCENTRICITY; FRACTIONAL ANISOTROPY; MICROSCOPIC ANISOTROPY; MICROSTRUCTURE; MULTIPLE PULSED FIELD GRADIENT DIFFUSION MRI; ROTATIONAL INVARIANCE;

ANIMALS; ANISOTROPY; CERCOPITHECUS AETHIOPS; COMPUTER SIMULATION; DIFFUSION; DIFFUSION MAGNETIC RESONANCE IMAGING; IMAGING, THREE-DIMENSIONAL; ROTATION;

EID: 84888018613     PISSN: 09523480     EISSN: 10991492     Source Type: Journal    
DOI: 10.1002/nbm.2999     Document Type: Article

References (57)

1. Cheng Y, Cory DG. Multiple scattering by NMR. J. Am. Chem. Soc. 1999; 121(34): 7935-7936.
2. Mitra PP. Multiple wave-vector extensions of the NMR pulsed-field-gradient spin-echo diffusion measurement. Phys. Rev. B 1995; 51(21): 15, 074-15, 078.
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. Finsterbusch J. Multiple-wave-vector diffusion-weighted NMR. In Graham AW (ed.). Annual Reports on NMR Spectroscopy, vol. 72. Academic Press, 2011; pp. 225-299.
5. Jespersen SN, Buhl N. The displacement correlation tensor: microstructure, ensemble anisotropy and curving fibers. J. Magn. Reson. 2011; 208(1): 34-43.
6. Callaghan PT, Komlosh ME. Locally anisotropic motion in a macroscopically isotropic system: displacement correlations measured using double pulsed gradient spin-echo NMR. Magn. Reson. Chem. 2002; 40: 15.
7. 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.
8. 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.
9. Koch MA, Finsterbusch J. Compartment size estimation with double wave vector diffusion-weighted imaging. Magn. Reson. Med. 2008; 60(1): 90-101.
10. Koch MA, Finsterbusch J. Towards compartment size estimation in vivo based on double wave vector diffusion weighting. NMR Biomed. 2011; 24: 1422-1432.
11. 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.
12. Lawrenz M, Finsterbusch J. Double-wave-vector diffusion-weighted imaging reveals microscopic diffusion anisotropy in the living human brain. Magn. Reson. Med. 2013; 69: 1072-1082.
13. 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(5): 1405-1415.
14. 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.
15. Shemesh N, Ozarslan 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. 2012; 25(2): 236-246.
16. Shemesh N, Barazany D, Sadan O, Bar L, Zur Y, Barhum Y, Sochen N, Offen D, Assaf Y, Cohen Y. Mapping apparent eccentricity and residual ensemble anisotropy in the gray matter using angular double-pulsed-field-gradient MRI. Magn. Reson. Med. 2012; 68(3): 794-806.
17. 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.
18. 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.
19. Shemesh N, Ozarslan E, Adiri T, Basser PJ, Cohen Y. Noninvasive bipolar double-pulsed-field-gradient NMR reveals signatures for pore size and shape in polydisperse, randomly oriented, inhomogeneous porous media. J. Chem. Phys. 2010; 133(4): 044, 705.
20. Özarslan E. Compartment shape anisotropy (CSA) revealed by double pulsed field gradient MR. J. Magn. Reson. 2009; 199(1): 56-67.
21. 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.
22. Jespersen SN. Equivalence of double and single wave vector diffusion contrast at low diffusion weighting. NMR Biomed. 2012; 25(6): 813-818.
23. Avram AV, Ozarslan 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.
24. Novikov DS, Kiselev VG. Effective medium theory of a diffusion-weighted signal. NMR Biomed. 2010; 23(7): 682-697.
25. Özarslan E, Shemesh N, Basser PJ. A general framework to quantify the effect of restricted diffusion on the NMR signal with applications to double pulsed field gradient NMR experiments. J. Chem. Phys. 2009; 130(10): 104, 702.
26. Koch MA, Finsterbusch J. Numerical simulation of double-wave vector experiments investigating diffusion in randomly oriented ellipsoidal pores. Magn. Reson. Med. 2009; 62(1): 247-254.
27. 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, 2011; pp. 152-168.
28. Finsterbusch J, Koch MA. A tensor approach to double wave vector diffusion-weighting experiments on restricted diffusion. J. Magn. Reson. 2008; 195(1): 23-32.
29. Basser PJ. New histological and physiological stains derived from diffusion-tensor MR images. Imaging Brain Struct. Funct. 1997; 820: 123-138.
30. 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.
31. Gräf M, Potts D. Sampling sets and quadrature formulae on the rotation group. Numer. Func. Anal. Opt. 2009; 30(7/8): 665-688.
32. Fisher NI, Lewis T, Embleton BJJ. Statistical Analysis of Spherical Data. Cambridge University Press: Cambridge; 1987.
33. Zhang H, Hubbard PL, Parker GJ, Alexander DC. Axon diameter mapping in the presence of orientation dispersion with diffusion MRI. Neuroimage 2011; 56(3): 1301-1315.
34. Dyrby TB, Baare WF, Alexander DC, Jelsing J, Garde E, Sogaard LV. An ex vivo imaging pipeline for producing high-quality and high-resolution diffusion-weighted imaging datasets. Hum. Brain Mapp. 2011; 32(4): 544-563.
35. Clark CA, Hedehus M, Moseley ME. Diffusion time dependence of the apparent diffusion tensor in healthy human brain and white matter disease. Magn. Reson. Med. 2001; 45(6): 1126-1129.
36. Portnoy S, Flint JJ, Blackband SJ, Stanisz GJ. Oscillating and pulsed gradient diffusion magnetic resonance microscopy over an extended b-value range: implications for the characterization of tissue microstructure. Magn. Reson. Med. 2013; 69(4): 1131-1145.
37. Finsterbusch J. Extension of the double-wave-vector diffusion-weighting experiment to multiple concatenations. J. Magn. Reson. 2009; 198(2): 174-182.
38. 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.
39. Shemesh N, Cohen Y. Overcoming apparent susceptibility-induced anisotropy (aSIA) by bipolar double-pulsed-field-gradient NMR. J. Magn. Reson. 2011; 212(2): 362-369.
40. 0 gradient-based) NMR diffusion experiments. Concepts Magn. Reson. A 2007; 30A(5): 261-277.
41. Dyrby TB, Sogaard LV, Hall MG, Ptito M, Alexander DC. Contrast and stability of the axon diameter index from microstructure imaging with diffusion MRI. Magn. Reson. Med. 2012.
42. Jespersen SN, Bjarkam CR, Nyengaard JR, Chakravarty MM, Hansen B, Vosegaard T, Ostergaard L, Yablonskiy D, Nielsen NC, Vestergaard-Poulsen P. Neurite density from magnetic resonance diffusion measurements at ultrahigh field: comparison with light microscopy and electron microscopy. Neuroimage 2010; 49(1): 205-216.
43. Kroenke CD, Bretthorst GL, Inder TE, Neil JJ. Modeling water diffusion anisotropy within fixed newborn primate brain using Bayesian probability theory. Magn. Reson. Med. 2006; 55(1): 187-197.
44. Neil JJ, Shiran SI, McKinstry RC, Schefft GL, Snyder AZ, Almli CR, Akbudak E, Aaronovitz JA, Miller JP, Lee BCP, Conturo TE. Normal brain in human newborns: apparent diffusion coefficient and diffusion anisotropy measured using diffusion tensor imaging. Radiology 1998; 209: 57-66.
45. Leuze CW, Anwander A, Bazin PL, Dhital B, Stuber C, Reimann K, Geyer S, Turner R. Layer-specific intracortical connectivity revealed with diffusion MRI. Cereb. Cortex 2012, DOI: 10.1093/cercor/bhs311.
46. Nilsson M, Lätt J, Ståhlberg F, van Westen D, Hagslätt H. The importance of axonal undulation in diffusion MR measurements: a Monte Carlo simulation study. NMR Biomed. 2012; 25(5): 795-805.
47. 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.
48. Fieremans E, Novikov DS, Jensen JH, Helpern JA. Monte Carlo study of a two-compartment exchange model of diffusion. NMR Biomed. 2010; 23(7): 711-724.
49. Yablonskiy DA, Bretthorst GL, Ackerman JJ. Statistical model for diffusion attenuated MR signal. Magn. Reson. Med. 2003; 50(4): 664-669.
50. He X, Raichle ME, Yablonskiy DA. Transmembrane dynamics of water exchange in human brain. Magn. Reson. Med. 2012; 67(2): 562-571.
51. Novikov DS, Fiermans E, Jensen JH, Helpern JA. Characterizing microstructure of living tissues with time-dependent diffusion. arXiv:1210.3014 [physics.bio-ph]. 2012.
52. Assaf Y, Freidlin RZ, Rohde GK, Basser PJ. New modeling and experimental framework to characterize hindered and restricted water diffusion in brain white matter. Magn. Reson. Med. 2004; 52(5): 965-978.
53. Jespersen SN, Bjarkam CR, Nielsen T, Hansen B, Vestergaard-Poulsen P. Dendrite density from magnetic resonance diffusion measurements: comparison with histology. Proceedings of the International Society for Magnetic Resonance in Medicine, Berlin, 2007, p. 821.
54. Shemesh N, Barzany D, Sadan O, Zur Y, Offen D, Assaf Y, Cohen Y. Double-PFG MR imaging of the CNS: probing underlying gray matter microstructure. Proceedings of the International Society for Magnetic Resonance in Medicine, Montreal, 2011, p. 82.
55. Moakher M. Fourth-order cartesian tensors: old and new facts, notions and applications. Q. J. Mech. Appl. Math. 2008; 61: 181-203.
56. Jeffreys H. Isotropic tensors. Proc. Camb. Philos. Soc. 1973; 73(Jan): 173-176.
57. Jespersen SN, Leigland LA, Cornea A, Kroenke CD. Determination of axonal and dendritic orientation distributions within the developing cerebral cortex by diffusion tensor imaging. IEEE Trans. Med. Imaging 2012; 31(1): 16-32.