Anisotropy induced by macroscopic boundaries: Surface-normal mapping using diffusion-weighted imaging

Biophysical Journal

Volumn 94, Issue 7, 2008, Pages 2809-2818

  Özarslan, Evren ^a   Nevo, Uri ^a   Basser, Peter J ^a  

^a EUNICE KENNEDY SHRIVER NATIONAL INSTITUTE OF CHILD HEALTH AND HUMAN DEVELOPMENT   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHM; ANISOTROPY; ARTICLE; ARTIFICIAL INTELLIGENCE; AUTOMATED PATTERN RECOGNITION; BIOLOGICAL MODEL; COMPUTER ASSISTED DIAGNOSIS; COMPUTER SIMULATION; DIFFUSION WEIGHTED IMAGING; IMAGE ENHANCEMENT; METHODOLOGY;

ALGORITHMS; ANISOTROPY; ARTIFICIAL INTELLIGENCE; COMPUTER SIMULATION; DIFFUSION MAGNETIC RESONANCE IMAGING; IMAGE ENHANCEMENT; IMAGE INTERPRETATION, COMPUTER-ASSISTED; MODELS, BIOLOGICAL; PATTERN RECOGNITION, AUTOMATED;

EID: 41649098014     PISSN: 00063495     EISSN: 15420086     Source Type: Journal    
DOI: 10.1529/biophysj.107.124081     Document Type: Article

References (44)

1. Beaulieu, C., and P. S. Allen. 1994. Determinants of anisotropic water diffusion in nerves. Magn. Reson. Med. 31:394-400.
2. Beaulieu, C. 2002. The basis of anisotropic water diffusion in the nervous system - a technical review. NMR Biomed. 15:435-455.
3. Basser, P. J., J. Mattiello, and D. LeBihan. 1994. MR diffusion tensor spectroscopy and imaging. Biophys. J. 66:259-267.
4. Özarslan, E., T. M. Shepherd, B. C. Vemuri, S. J. Blackband, and T. H. Mareci. 2006. Resolution of complex tissue microarchitecture using the diffusion orientation transform (DOT). Neuroimage. 31:1086-1103.
5. Hyslop, W. B., and P. C. Lauterbur. 1991. Effects of restricted diffusion on microscopic NMR imaging. J. Magn. Reson. 94:501-510.
6. Pütz, B., D. Barsky, and K. Schulten. 1991. Edge enhancement by diffusion - microscopic magnetic-resonance-imaging of an ultrathin glass-capillary. Chem. Phys. Lett. 183:391-396.
7. Barsky, D., B. Pütz, and K. Schulten. 1992. Diffusional edge enhancement observed by NMR in thin glass capillaries. Chem. Phys. Lett. 200:88-96.
8. Pütz, B., D. Barsky, and K. Schulten. 1992. Edge enhancement by diffusion in microscopic magnetic resonance imaging. J. Magn. Reson. 97:27-53.
9. Callaghan, P. T., A. Coy, L. C. Forde, and C. J. Rofe. 1993. Diffusive relaxation and edge enhancement in NMR microscopy. J Magn Reson. A. 101:347-350.
10. Hahn, E. L. 1950. Spin echoes. Phys. Rev. 80:580-594.
11. de Swiet, T. M., and P. N. Sen. 1994. Decay of nuclear magnetization by bounded diffusion in a constant field gradient. J. Chem. Phys. 100: 5597-5604.
12. Torrey, H. C. 1956. Bloch equations with diffusion terms. Phys. Rev. 104:563-565.
13. de Swiet, T. M. 1995. Diffusive edge enhancement in imaging. J. Magn. Reson. B. 109:12-18.
14. Callaghan, P. T., and S. L. Codd. 1998. Generalized calculation of NMR imaging edge effects arising from restricted diffusion in porous media. Magn. Reson. Imaging. 16:471-478.
15. Callaghan, P. T. 1997. A simple matrix formalism for spin echo analysis of restricted difffusion under generalized gradient waveforms. J. Magn. Reson. 129:74-84.
16. Sukstanskii, A. L., and D. A. Yablonskiy. 2002. Effects of restricted diffusion on MR signal formation. J. Magn. Reson. 157:92-105.
17. Stepišnik, J., A. Duh, A. Mohorič, and I. Serša. 1999. MRI edge enhancement as a diffusive discord of spin phase structure. J. Magn. Reson. 137:154-160.
18. Stejskal, E. O., and J. E. Tanner. 1965. Spin diffusion measurements: spin echoes in the presence of a time-dependent field gradient. J. Chem. Phys. 42:288-292.
19. Sukstanskii, A. L., J. J. H. Ackerman, and D. A. Yablonskiy. 2003. Effects of barrier-induced nuclear spin magnetization inhomogeneities on diffusion-attenuated MR signal. Magn. Reson. Med. 50: 735-742.
20. Sukstanskii, A. L., D. A. Yablonskiy, and J. J. H. Ackerman. 2004. Effects of permeable boundaries on the diffusion-attenuated MR signal: insights from a one-dimensional model. J. Magn. Reson. 170:56-66.
21. Frøhlich, A. F., L. Østergaard, and V. G. Kiselev. 2006. Effect of impermeable boundaries on diffusion-attenuated MR signal. J. Magn. Reson. 179:223-233.
22. Beck, J. V., K. D. Cole, A. Haji-Sheikh, and B. Litkouhi. 1992. Heat Conduction using Green's Functions. Hemisphere, Washington, DC.
23. Pajevic, S., and C. Pierpaoli. 1999. Color schemes to represent the orientation of anisotropic tissues from diffusion tensor data: application to white matter fiber tract mapping in the human brain. Magn. Reson. Med. 42:526-540.
24. Basser, P. J., and C. Pierpaoli. 1996. Microstructural and physiological features of tissues elucidated by quantitative diffusion tensor MRI. J. Magn. Reson. B. 111:209-219.
25. Sizonenko, S. V., E. J. Camm, J. R. Garbow, S. E. Maier, T. E. Inder, C. E. Williams, J. J. Neil, and P. S. Huppi. 2007. Developmental changes and injury induced disruption of the radial organization of the cortex in the immature rat brain revealed by in vivo diffusion tensor MRI. Cereb. Cortex. 17:2609-2617.
26. Baratti, C., A. S. Barnett, and C. Pierpaoli. 1999. Comparative MR imaging study of brain maturation in kittens with T1, T2, and the trace of the diffusion tensor. Radiology. 210:133-142.
27. McKinstry, R. C., A. Mathur, J. H. Miller, A. Özcan, A. Z. Snyder, G. L. Schefft, C. R. Almli, S. I. Shiran, T. E. Conturo, and J. J. Neil. 2002. Radial organization of developing preterm human cerebral cortex revealed by non-invasive water diffusion anisotropy MRI. Cereb. Cortex. 12:1237-1243.
28. Dennery, P., and A. Krzywicki. 1996. Mathematics for Physicists. Dover Publications, New York.
29. Tanner, J. E., and E. O. Stejskal. 1968. Restricted self-diffusion of protons in colloidal systems by the pulsed-gradient, spin-echo method. J. Chem. Phys. 49:1768-1777.
30. Callaghan, P. T., A. Coy, D. MacGowan, K. J. Packer, and F. O. Zelaya. 1991. Diffraction-like effects in NMR diffusion studies of fluids in porous solids. Nature. 351:467-469.
31. Özarslan, E., and P. J. Basser. 2007. MR diffusion- "diffraction" phenomenon in multi-pulse-field-gradient experiments. J. Magn. Reson. 188:285-294.
32. Callaghan, P. T. 1991. Principles of Nuclear Magnetic Resonance Microscopy. Clarendon Press, Oxford.
33. Özarslan, E., B. C. Vemuri, and T. H. Mareci. 2005. Generalized scalar measures for diffusion MRI using trace, variance and entropy. Magn. Reson. Med. 53:866-876.
34. Sander, P. T., and S. W. Zucker. 1990. Inferring surface trace and differential structure from 3-D images. IEEE T Patt. Anal. 12:833-854.
35. Dale, A. M., B. Fischl, and M. I. Sereno. 1999. Cortical surface-based analysis. I. Segmentation and surface reconstruction. Neuroimage. 9: 179-194.
36. MacDonald, D., N. Kabani, D. Avis, and A. C. Evans. 2000. Automated 3-D extraction of inner and outer surfaces of cerebral cortex from MRI. Neuroimage. 12:340-356.
37. Fischl, B., A. Liu, and A. M. Dale. 2001. Automated manifold surgery: constructing geometrically accurate and topologically correct models of the human cerebral cortex. IEEE Trans. Med. Imaging. 20:70-80.
38. Tosun, D., M. E. Rettmann, X. Han, X. Tao, C. Xu, S. M. Resnick, D. L. Pham, and J. L. Prince. 2004. Cortical surface segmentation and mapping. Neuroimage. 23:S108-S118.
39. Friboulet, D., I. E. Magnin, C. Mathieu, A. Pommert, and K. H. Hoehne. 1993. Assessment and visualization of the curvature of the left ventricle from 3D medical images. Comput. Med. Imaging Graph. 17:257-262.
40. As, H. V. 2007. Intact plant MRI for the study of cell water relations, membrane permeability, cell-to-cell and long distance water transport. J. Exp. Bot. 58:743-756.
41. Maril, N., Y. Rosen, G. H. Reynolds, A. Ivanishev, L. Ngo, and R. E. Lenkinski. 2006. Sodium MRI of the human kidney at 3 Tesla. Magn. Reson. Med. 56:1229-1234.
42. van Beek, E. J., J. M. Wild, H. U. Kauczor, W. Schreiber, J. P. Mugler, and E. E. de Lange. 2004. Functional MRI of the lung using hyperpolarized 3-helium gas. J. Magn. Reson. Imaging. 20:540-554.
43. Aguayo, J. B., S. J. Blackband, J. Schoeniger, M. A. Mattingly, and M. Hintermann. 1986. Nuclear magnetic resonance imaging of a single cell. Nature. 322:190-191.
44. Grant, S. C., D. L. Buckley, S. Gibbs, A. G. Webb, and S. J. Blackband. 2001. MR microscopy of multicomponent diffusion in single neurons. Magn. Reson. Med. 46:1107-1112.