Measuring small compartment dimensions by probing diffusion dynamics via Non-uniform Oscillating-Gradient Spin-Echo (NOGSE) NMR

Journal of Magnetic Resonance

Volumn 237, Issue , 2013, Pages 49-62

  Shemesh, Noam ^a   Álvarez, Gonzalo A ^a   Frydman, Lucio ^a  

^a WEIZMANN INSTITUTE OF SCIENCE   (Israel)

Author keywords

CNS; Gradient echoes; Magnetic resonance imaging; Microstructure; OGSE; Oscillating gradients; Restricted diffusion; Selective dynamical recoupling

Indexed keywords

CNS; OGSE; OSCILLATING GRADIENTS; RECOUPLING; RESTRICTED DIFFUSION;

DIFFRACTION; EXPERIMENTS; MAGNETIC RESONANCE IMAGING; MICROSTRUCTURE; PROBES; SPECTRAL DENSITY; SPIN DYNAMICS;

DIFFUSION;

SUIDAE;

ADC; ALGORITHM; ANIMAL; APPARENT DIFFUSION COEFFICIENT; ARTICLE; BRAIN; CAPILLARY; CARR-PURCELL-MEIBOOM-GILL; CENTRAL NERVOUS SYSTEM; COMPUTER SIMULATION; CPMG; DIFFUSION; DIFFUSION TENSOR IMAGING; DIFFUSION WEIGHTED IMAGING; DTI; ECHO PLANAR IMAGING; ELECTROMAGNETIC FIELD; FOURIER TRANSFORMATION; FT; GM; GRADIENT ECHOES; GRAY MATTER; HISTOLOGY; IMAGE PROCESSING; IMAGE QUALITY; METHODOLOGY; MICROSTRUCTURE; MOUSE; NOGSE; NON-UNIFORM OSCILLATING-GRADIENT SPIN-ECHO; NUCLEAR MAGNETIC RESONANCE IMAGING; OGSE; OSCILLATING GRADIENTS; OSCILLATING-GRADIENT SPIN-ECHO; PGSE; PULSED-GRADIENT SPIN-ECHO; RESTRICTED DIFFUSION; SDR; SELECTIVE DYNAMICAL RECOUPLING; SPINAL CORD; SWINE; TISSUE FIXATION; WHITE MATTER; WM;

ADC; APPARENT DIFFUSION COEFFICIENT; CARR-PURCELL-MEIBOOM-GILL; CNS; CPMG; DIFFUSION TENSOR IMAGING; DTI; FOURIER TRANSFORM; FT; GM; GRADIENT ECHOES; GRAY MATTER; MAGNETIC RESONANCE IMAGING; MICROSTRUCTURE; NOGSE; NON-UNIFORM OSCILLATING-GRADIENT SPIN-ECHO; OGSE; OSCILLATING GRADIENTS; OSCILLATING-GRADIENT SPIN-ECHO; PGSE; PULSED-GRADIENT SPIN-ECHO; RESTRICTED DIFFUSION; SDR; SELECTIVE DYNAMICAL RECOUPLING; WHITE MATTER; WM;

ALGORITHMS; ANIMALS; BRAIN; CAPILLARIES; COMPUTER SIMULATION; DIFFUSION; DIFFUSION MAGNETIC RESONANCE IMAGING; ECHO-PLANAR IMAGING; ELECTROMAGNETIC FIELDS; IMAGE PROCESSING, COMPUTER-ASSISTED; MICE; PHANTOMS, IMAGING; SPINAL CORD; SWINE; TISSUE FIXATION;

EID: 84885445859     PISSN: 10907807     EISSN: 10960856     Source Type: Journal    
DOI: 10.1016/j.jmr.2013.09.009     Document Type: Article

References (67)

1. Y.Q. Song Magnetic resonance of porous media (MRPM): a perspective J. Magn. Reson. 229 2013 12 24
2. P.T. Callaghan Translational Dynamics and Magnetic Resonance 2011 Oxford University Press
3. D.S. Grebenkov NMR survey of reflected Brownian motion Rev. Mod. Phys. 79 2007 1077 1137 (Pubitemid 47357951)
4. E.O. Stejskal, and J.E. Tanner Spin diffusion measurements - spin echoes in presence of a time-dependent field gradient J. Chem. Phys. 42 1965 288 292
5. P.T. Callaghan, A. Coy, T.P.J. Halpin, D. Macgowan, K.J. Packer, and F.O. Zelaya Diffusion in porous systems and the influence of pore morphology in pulsed gradient spin-echo nuclear-magnetic-resonance studies J. Chem. Phys. 97 1992 651 662
6. H. Johansen-Berg, and T.E.J. Behrens Diffusion MRI: From Quantitative Measurement to In-vivo Anatomy 2009 Academic Press
7. S. Mori, R. Itoh, J.Y. Zhang, W.E. Kaufmann, P.C.M. van Zijl, M. Solaiyappan, and P. Yarowsky Diffusion tensor imaging of the developing mouse brain Magn. Reson. Med. 46 2001 18 23 (Pubitemid 32592134)
8. H.H. Ong, A.C. Wright, S.L. Wehrli, A. Souza, E.D. Schwartz, S.N. Hwang, and F.W. Wehrli Indirect measurement of regional axon diameter in excised mouse spinal cord with q-space imaging: simulation and experimental studies Neuroimage 40 2008 1619 1632
9. E.L. Hahn Spin echoes Phys. Rev. 80 1950 580 594
10. P.T. Callaghan, S.L. Codd, and J.D. Seymour Spatial coherence phenomena arising from translational spin motion in gradient spin echo experiments Concepts Magn. Reson. 11 1999 181 202
11. N. Shemesh, E. Ozarslan, P.J. Basser, and Y. Cohen Detecting diffusion-diffraction patterns in size distribution phantoms using double-pulsed field gradient NMR: theory and experiments J. Chem. Phys. 132 2010 034703
12. P.P. Mitra, P.N. Sen, and L.M. Schwartz Short-time behavior of the diffusion-coefficient as a geometrical probe of porous-media Phys. Rev. B 47 1993 8565 8574
13. P.N. Sen Time-dependent diffusion coefficient as a probe of geometry Concepts Magn. Reson. Part A 23A 2004 1 21 (Pubitemid 40646215)
14. Y. Assaf, T. Blumenfeld-Katzir, Y. Yovel, and P.J. Basser AxCaliber: a method for measuring axon diameter distribution from diffusion MRI Magn. Reson. Med. 59 2008 1347 1354 (Pubitemid 351813264)
15. Y.Q. Song, S.G. Ryu, and P.N. Sen Determining multiple length scales in rocks Nature 406 2000 178 181 (Pubitemid 30468997)
16. J.C. Gore, J.Z. Xu, D.C. Colvin, T.E. Yankeelov, E.C. Parsons, and M.D. Does Characterization of tissue structure at varying length scales using temporal diffusion spectroscopy NMR Biomed. 23 2010 745 756
17. A. Bar-Shir, L. Avram, E. Ozarslan, P.J. Basser, and Y. Cohen The effect of the diffusion time and pulse gradient duration ratio on the diffraction pattern and the structural information estimated from q-space diffusion MR: experiments and simulations J. Magn. Reson. 194 2008 230 236
18. J. Stepisnik Analysis of NMR self-diffusion measurements by a density-matrix calculation Physica B & C 104 1981 350 364 (Pubitemid 12462259)
19. P.T. Callaghan, and J. Stepisnik Frequency-domain analysis of spin motion using modulated-gradient NMR J. Magn. Reson. A 117 1995 118 122
20. M. Schachter, M.D. Does, A.W. Anderson, and J.C. Gore Measurements of restricted diffusion using an oscillating gradient spin-echo sequence J. Magn. Reson. 147 2000 232 237
21. D. Topgaard, C. Malmborg, and O. Soderman Restricted self-diffusion of water in a highly concentrated W/O emulsion studied using modulated gradient spin-echo NMR J. Magn. Reson. 156 2002 195 201
22. E.C. Parsons, M.D. Does, and J.C. Gore Temporal diffusion spectroscopy: theory and implementation in restricted systems using oscillating gradients Magn. Reson. Med. 55 2006 75 84 (Pubitemid 43062930)
23. A. Ianus, B. Siow, I. Drobnjak, H. Zhang, and D.C. Alexander Gaussian phase distribution approximations for oscillating gradient spin echo diffusion MRI J. Magn. Reson. 227 2013 25 34
24. E.C. Parsons, M.D. Does, and J.C. Gore Modified oscillating gradient pulses for direct sampling of the diffusion spectrum suitable for imaging sequences Magn. Reson. Imaging 21 2003 279 285 (Pubitemid 36874856)
25. D.C. Colvin, T.E. Yankeelov, M.D. Does, Z. Yue, C. Quarles, and J.C. Gore New insights into tumor microstructure using temporal diffusion spectroscopy Cancer Res. 68 2008 5941 5947
26. J.Z. Xu, M.D. Does, and J.C. Gore Dependence of temporal diffusion spectra on microstructural properties of biological tissues Magn. Reson. Imaging 29 2011 380 390
27. M.D. Does, E.C. Parsons, and J.C. Gore Oscillating gradient measurements of water diffusion in normal and globally ischemic rat brain Magn. Reson. Med. 49 2003 206 215 (Pubitemid 36159856)
28. J.Z. Xu, K. Li, R.A. Smith, J.C. Waterton, P. Zhao, H.D. Chen, M.D. Does, H.C. Manning, and J.C. Gore Characterizing tumor response to chemotherapy at various length scales using temporal diffusion spectroscopy PloS One 7 2012 e41714
29. M. Aggarwal, M.V. Jones, P.A. Calabresi, S. Mori, and J.Y. Zhang Probing mouse brain microstructure using oscillating gradient diffusion MRI Magn. Reson. Med. 67 2012 98 109
30. S. Lasic, J. Stepisnik, and A. Mohoric Displacement power spectrum measurement by CPMG in constant gradient J. Magn. Reson. 182 2006 208 214 (Pubitemid 44466444)
31. J. Stepisnik, S. Lasic, A. Mohoric, I. Sersa, and A. Sepe Spectral characterization of diffusion in porous media by the modulated gradient spin echo with CPMG sequence J. Magn. Reson. 182 2006 195 199 (Pubitemid 44466437)
32. I. Drobnjak, B. Siow, and D.C. Alexander Optimizing gradient waveforms for microstructure sensitivity in diffusion-weighted MR J. Magn. Reson. 206 2010 41 51
33. I. Drobnjak, H. Zhang, M.G. Hall, and D.C. Alexander The matrix formalism for generalised gradients with time-varying orientation in diffusion NMR J. Magn. Reson. 210 2011 151 157
34. B. Siow, I. Drobnjak, A. Chatterjee, M.F. Lythgoe, and D.C. Alexander Estimation of pore size in a microstructure phantom using the optimised gradient waveform diffusion weighted NMR sequence J. Magn. Reson. 214 2012 51 60
35. F.B. Laun, T.A. Kuder, W. Semmler, and B. Stieltjes Determination of the defining boundary in nuclear magnetic resonance diffusion experiments Phys. Rev. Lett. 107 2011 048102
36. F.B. Laun, T.A. Kuder, A. Wetscherek, B. Stieltjes, and W. Semmler NMR-based diffusion pore imaging Phys. Rev. E 86 2012
37. N. Shemesh, C.F. Westin, and Y. Cohen Magnetic resonance imaging by synergistic diffusion-diffraction patterns Phys. Rev. Lett. 108 2012 058103
38. G.S. Uhrig Keeping a quantum bit alive by optimized pi-pulse sequences Phys. Rev. Lett. 98 2007 100504
39. E.R. Jenista, A.M. Stokes, R.T. Branca, and W.S. Warren Optimized, unequal pulse spacing in multiple echo sequences improves refocusing in magnetic resonance J. Chem. Phys. 131 2009 204510
40. P.E.S. Smith, G. Bensky, G.A. Alvarez, G. Kurizki, and L. Frydman Shift-driven modulations of spin-echo signals Proc. Natl. Acad. Sci. U. S. A. 109 2012 5958 5961
41. G.A. Alvarez, N. Shemesh, and L. Frydman Coherent dynamical recoupling of diffusion-driven decoherence in magnetic resonance Phys. Rev. Lett. 111 2013 080404 (1-6)
42. J. Stepisnik Validity limits of Gaussian approximation in cumulant expansion for diffusion attenuation of spin echo Physica B 270 1999 110 117
43. J. Stepisnik Time-dependent self-diffusion by NMR spin-echo Physica B 183 1993 343 350
44. A. Ajoy, G.A. Alvarez, and D. Suter Optimal pulse spacing for dynamical decoupling in the presence of a purely dephasing spin bath Phys. Rev. A 83 2011 032303
45. G.A. Alvarez, and D. Suter Measuring the spectrum of colored noise by dynamical decoupling Phys. Rev. Lett. 107 2011 230501
46. J. Xu, M.D. Does, and J.C. Gore Sensitivity of MR diffusion measurements to variations in intracellular structure: effects of nuclear size Magn. Reson. Med. 61 2009 828 833
47. S. Hertel, M. Hunter, and P. Galvosas Magnetic resonance pore imaging, a tool for porous media research Phys. Rev. E 87 2013 030802
48. H.H. Ong, and F.W. Wehrli Quantifying axon diameter and intra-cellular volume fraction in excised mouse spinal cord with q-space imaging Neuroimage 51 2010 1360 1366
49. J.A. Perge, J.E. Niven, E. Mugnaini, V. Balasubramanian, and P. Sterling Why do axons differ in caliber? J. Neurosci. 32 2012 626 638
50. R. Nashmi, and M.G. Fehlings Changes in axonal physiology and morphology after chronic compressive injury of the rat thoracic spinal cord Neuroscience 104 2001 235 251 (Pubitemid 32322628)
51. D.C. Alexander, P.L. Hubbard, M.G. Hall, E.A. Moore, M. Ptito, G.J.M. Parker, and T.B. Dyrby Orientationally invariant indices of axon diameter and density from diffusion MRI Neuroimage 52 2010 1374 1389
52. D. Barazany, P.J. Basser, and Y. Assaf In vivo measurement of axon diameter distribution in the corpus callosum of rat brain Brain 132 2009 1210 1220
53. M.D. Budde, and J.A. Frank Neurite beading is sufficient to decrease the apparent diffusion coefficient after ischemic stroke Proc. Natl. Acad. Sci. U. S. A. 107 2010 14472 14477
54. S. Cullheim Relations between cell body size, axon diameter and axon conduction-velocity of cat sciatic alpha-motoneurons stained with horseradish-peroxidase Neurosci. Lett. 8 1978 17 20 (Pubitemid 8354842)
55. P.W. Kuchel, A. Coy, and P. Stilbs NMR "diffusion-diffraction" of water revealing alignment of erythrocytes in a magnetic field and their dimensions and membrane transport characteristics Magn. Reson. Med. 37 1997 637 643 (Pubitemid 27187801)
56. Y. Assaf, D. Ben-Bashat, J. Chapman, S. Peled, I.E. Biton, M. Kafri, Y. Segev, T. Hendler, A.D. Korczyn, M. Graif, and Y. Cohen High b-value q-space analyzed diffusion-weighted MRI: application to multiple sclerosis Magn. Reson. Med. 47 2002 115 126 (Pubitemid 34019700)
57. J. Latt, M. Nilsson, C. Malmborg, H. Rosquist, R. Wirestam, F. Stahlberg, D. Topgaard, and S. Brockstedt Accuracy of q-space related parameters in MRI: simulations and phantom measurements IEEE Trans. Med. Imaging 26 2007 1437 1447 (Pubitemid 350025481)
58. J.A. Farrell, S.A. Smith, E.M. Gordon-Lipkin, D.S. Reich, P.A. Calabresi, and P.C. van Zijl High b-value q-space diffusion-weighted MRI of the human cervical spinal cord in vivo: feasibility and application to multiple sclerosis Magn. Reson. Med. 59 2008 1079 1089 (Pubitemid 351590522)
59. N. Shemesh, and Y. Cohen Microscopic and compartment shape anisotropies in gray and white matter revealed by angular bipolar double-PFG MR Magn. Reson. Med. 65 2011 1216 1227
60. N. Shemesh, D. Barazany, O. Sadan, L. Bar, Y. Zur, Y. Barhum, N. Sochen, D. Offen, Y. Assaf, and Y. Cohen Mapping apparent eccentricity and residual ensemble anisotropy in the gray matter using angular double-pulsed-field- gradient MRI Magn. Reson. Med. 68 2012 794 806
61. T.E.J. Behrens, M.W. Woolrich, M. Jenkinson, H. Johansen-Berg, R.G. Nunes, S. Clare, P.M. Matthews, J.M. Brady, and S.M. Smith Characterization and propagation of uncertainty in diffusion-weighted MR imaging Magn. Reson. Med. 50 2003 1077 1088 (Pubitemid 37356588)
62. Y. Assaf, and P.J. Basser Composite hindered and restricted model of diffusion (CHARMED) MR imaging of the human brain Neuroimage 27 2005 48 58 (Pubitemid 40966881)
63. P.P. Mitra Multiple wave-vector extensions of the NMR Pulsed-Field-Gradient spin-echo diffusion measurement Phys. Rev. B 51 1995 15074 15078
64. M.A. Koch, and J. Finsterbusch Compartment size estimation with double wave vector diffusion-weighted Imaging Magn. Reson. Med. 60 2008 90 101 (Pubitemid 351956613)
65. D. Le Bihan Looking into the functional architecture of the brain with diffusion MRI Nat. Rev. Neurosci. 4 2003 469 480 (Pubitemid 37280168)
66. C.F. Hazelwood, D.C. Chang, B.L. Nichols, and D.E. Woessner Nuclear magnetic-resonance transverse relaxation-times of water protons in skeletal-muscle Biophys. J. 14 1974 583 606
67. R.P. Kennan, J.H. Zhong, and J.C. Gore Intravascular susceptibility contrast mechanisms in tissues Magn. Reson. Med. 31 1994 9 21 (Pubitemid 24016936)