Condition Number as a Measure of Noise Performance of Diffusion Tensor Data Acquisition Schemes with MRI

Journal of Magnetic Resonance

Volumn 147, Issue 2, 2000, Pages 340-352

  Skare, Stefan ^a   Hedehus, Maj ^b   Moseley, Michael E ^b   Li, Tie Qiang ^c  

^a KAROLINSKA UNIVERSITY HOSPITAL   (Sweden)

^b STANFORD UNIVERSITY   (United States)

^c PRINCETON UNIVERSITY   (United States)

Author keywords

Condition number; Diffusion tensor imaging; Noise; Optimization

Indexed keywords

ALGORITHM; ARTICLE; ARTIFACT; COMPUTER SIMULATION; CORPUS CALLOSUM; DIFFUSION; HISTOLOGY; HUMAN; IMAGE QUALITY; METHODOLOGY; MONTE CARLO METHOD; NUCLEAR MAGNETIC RESONANCE IMAGING;

ALGORITHMS; ARTIFACTS; COMPUTER SIMULATION; CORPUS CALLOSUM; DIFFUSION; HUMANS; MAGNETIC RESONANCE IMAGING; MONTE CARLO METHOD; PHANTOMS, IMAGING;

EID: 0034567198     PISSN: 10907807     EISSN: None     Source Type: Journal    
DOI: 10.1006/jmre.2000.2209     Document Type: Article

References (42)

1. P. J. Basser and C. Pierpaoli, Microstructural and physiological features of tissues elucidated by quantitative-diffusion tensor MRI. J. Magn. Reson. B 111, 209-219 (1996).
2. P. J. Basser, Inferring microstructural features and the physiological state of tissues from diffusion-weighted images, NMR Biomed. 8, 333-344 (1995).
3. P. J. Basser, J. Mattiello, and D. Le Bihan, Estimation of the effective self-diffusion tensor from the NMR spin echo, J. Magn. Reson. B 103, 247-254 (1994).
4. C. Pierpaoli, P. Jezzard, P. J. Basser, A. Barnett, and Di Chiro G, Diffusion tensor MR imaging of the human brain. Radiology 201, 637-648 (1996).
5. C. Pierpaoli and P. J. Basser, Toward a quantitative assessment of diffusion anisotropy, Magn. Reson. Med. 36, 893-906 (1996). [published erratum appears in Magn. Reson. Med. 37(6), 972 (1997)]
6. C. T. Moonen, J. Pekar, M. H. de Vleeschouwer, P. van Gelderen, P. C. van Zijl, and D. DesPres, Restricted and anisotropic displacement of water in healthy cat brain and in stroke studied by NMR diffusion imaging, Magn. Reson. Med. 19, 327-332 (1991).
7. M. S. Buchsbaum, C. Y. Tang, S. Peled, H. Gudbjartsson, D. Lu, E. A. Hazlett, J. Downhill, M. Haznedar, J. H. Fallon, and S. W. Atlas, MRI white matter diffusion anisotropy and PET metabolic rate in schizophrenia. Neuroreport 9, 425-430 (1998).
8. K. O. Lim, M. Hedehus, M. Moseley, A. de Crespigny, E. V. Sullivan, and A. Pfefferbaum, Compromised white matter tract integrity in schizophrenia inferred from diffusion tensor imaging, Arch. Gen. Psychiatry 56, 367-374 (1999).
9. M. Hedehus M, E. V. Sullivann, A. de Crespigny, M. E. Moseley, K. O. Lim, and A. Pfefferbaum, Low white matter anisotropy in chronic alcoholism revealed with diffusion tensor imaging, in Abstracts of the International Society of Magnetic Resonance in Medicine, 7th Annual Meeting, Philadelphia, p. 932 (1999).
10. T. Klingberg, M. Hedehus, E. Temple, T. Salz, J. D. E. Gabrieli, M. E. Moseley, and R. A. Poldrack, A neural basis for reading ability: Microstructure of temporo-parietal white matter, Neuron 225, 493-500 (2000).
11. M. A. Horsfield, H. B. Larsson, D. K. Jones, and A. Gass, Diffusion magnetic resonance imaging in multiple sclerosis, J. Neurol. Neurosurg. Psychiatry 64(Suppl. 1), S80-S804 (1998).
12. D. J. Werring, C. A. Clark, G. J. Barker, A. J. Thompso, and D. H. Miller, Diffusion tensor imaging of lesions and normal-appearing white matter in multiple sclerosis, Neurology 52, 1626-1632 (1999).
13. J. J. Neil, S. I. Shiran, R. C. McKinstry, G. L. Schefft, A. Z. Snyder, C. R. Almli, E. Akbudak, J. A. Aronovit, J. P. Miller, B. C. Lee, and T. E. Conturo, Normal brain in human newborns: Apparent diffusion coefficient and diffusion anisotropy measured by using diffusion tensor MR imaging, Radiology 209, 57-66 (1998).
14. T. Klingberg, M. Hedehus, E. Temple, T. Salz, J. D. Gabrieli, M. E. Moseley, and R. A. Poldrack, Myelination and organization of the frontal white matter in children: A diffusion tensor MRI study. Neuroreport 10, 2817-2821 (1999).
15. T. E. Conturo, N. F. Lori, T. S. Cull, E. Akbudak, A. Z. Snyder, J. S. Shimony, R. C. McKinstry, H. Burton, and M. E. Raichle, Tracking neuronal fiber pathways in the living human brain, Proc. Natl. Acad. Sci. USA 96, 10422-10427 (1999).
16. R. Xue, P. van Zijl, B. J. Crain, M. Solaiyappan, and S. Mori, In vivo three-dimensional reconstruction of rat brain axonal projections by diffusion tensor imaging, Magn. Reson. Med. 42, 1123-1127 (1999).
17. P. J. Basser, Fiber-tractography via diffusion tensor MRI (DT-MRI), in Abstracts of the International Society of Magnetic Resonance in Medicine, 6th Annual Meeting, Sydney, p. 1226 (1998).
18. S. Skare, T. Q. Li, B. Nordell, and M. Ingvar, Noise considerations in the determination of diffusion tensor anisotropy, Magn. Reson. Imaging 18, 659-669 (2000).
19. M. E. Bastin, P. A. Armitag, and I. Marshall, A theoretical study of the effect of experimental noise on the measurement of anisotropy in diffusion imaging. Magn. Reson. Imaging 16, 773-785 (1998).
20. T. E. Conturo, R. C. McKinstry, E. Akbudak, and B. H. Robinson, Encoding of anisotropic diffusion with tetrahedral gradients: A general mathematical diffusion formalism and experimental results, Magn. Reson. Med. 35, 399-412 (1996).
21. K. M. Martin, N. G. Papadakis, C. L. Huang, L. D. Hall, and T. A. Carpenter, Reduction of the sorting bias in the eigenvalues if the diffusion tensor in diffusion-weighted magnetic resonance imaging, in Abstracts of the International Society of Magnetic Resonance in Medicine, 7th Annual Meeting, Philadelphia, p. 1785 (1999).
22. P. J. Basser and S. Pajevic, Method to reduce eigenvalue sorting bias in DT-MRI, in Abstracts of the Society of Magnetic Resonance in Medicine, 7th Annual Meeting, Philadelphia, p. 1788 (1999).
23. D. K. Jones, M. A. Horsfield, and A. Simmons, An optimal strategy for precise determination of the diffusion tensor, in Abstracts of the International Society of Magnetic Resonance in Medicine, 7th Annual Meeting, Philadelphia, p. 1793 (1999).
24. D. K. Jones, M. A. Horsfield, and A. Simmons, Optimal strategies for measuring diffusion in anisotropic systems by magnetic resonance imaging, Magn. Reson. Med. 42, 515-525 (1999).
25. R. Muthupallai, C. A. Holder, A. W. Song, and W. T. Dixon, in Abstracts of the International Society of Magnetic Resonance in Medicine, 7th Annual Meeting, Philadelphia, p. 1825 (1999).
26. N. G. Papadakis, D. Xing, C. L. Huang, L. D. Hall, and T. A. Carpenter, A comparative study of acquisition schemes for diffusion tensor imaging using MRI, J. Magn. Reson. 137, 67-82 (1999).
27. S. Skare and B. Nordell, "Decahedral" gradient encoding for increased accuracy in the estimation of diffusion anisotropy, in Abstracts of the International Society of Magnetic Resonance in Medicine, 7th Annual Meeting, Philadelphia, p. 322 (1999).
28. D. K. Jones, D. Lythgoe, M. A. Horsfield, A. Simmons, S. C. Williams, and H. S. Markus, Characterization of white matter damage in ischemic leukoaraiosis with diffusion tensor MRI, Stroke 30, 393-397 (1999).
29. S. Skare, M. Hedehus, and T. Q. Li, Characteristics and stability of different diffusion gradient schemes, in Abstracts of the International Society of Magnetic Resonance in Medicine, 8th Annual Meeting, Denver, p. 806 (2000).
30. T. L. Davis, V. J. Wedeen, R. M. Weisskoff, and B. R. Rosen, White Matter Tract Visualization by Echo-Planar MRI, in Abstracts of the International Society of Magnetic Resonance in Medicine, 3rd Annual Meeting, New York, p. 289 (1993).
31. P. Pierpaoli, P. Jezzard, P. J. Basser, A. Barnett, and G. di Chiro, Diffusion tensor MR imaging of the human brain, Radiology 201(3), 637-648 (1996).
32. J. A. Neider and R. Mead, Downhill simplex method for multidimensional minimization, Comput. J. 7, 308-314 (1965).
33. E. O. Stejskal and J. E. Tanner, Spin diffusion measurements: spin echoes in the presence of time-dependent field gradient, J. Phys. Chem. 42, 288-292 (1965).
34. M. Eis and M. Hoehn-Berlage, Correction of gradient cross-talk and optimization of measurement parameters in diffusion MR imaging, J. Magn. Reson. B 107, 222-234 (1995).
35. D. Xing, N. G. Papadakis, C. L.-H. Huang, V. M. Lee, T. A. Carpenter, and L. D. Hall, Optimised diffusion-weighting for measurement of apparent diffusion coefficient (ADC) in human brain, Magn. Reson. Imaging 15, 771-784 (1997).
36. T. E. Tonturo, R. C. McKinstry, A. A. Aronovitz, and J. J. Neil, Diffusion MRI: Precision, accuracy and flow Effects. NMR Biomed. 8, 307-332 (1995).
37. R. M. Henelman, Measurements of signal intensities in the presences of noise in MR images. Med. Phys. 12, 232-241 (1985).
38. S. J. Leon, "Linear Algebra with Applications," 2nd ed. Macmillan, New York, 1986.
39. H. P. William, P. F. Brian, A. T. Saul, and T. V. William, "Numerical Recipes in C," 2nd ed., Cambridge Univ. Press, Cambridge, 1995.
40. A. M. Ulug, N. Beauchamp, R. N. Bryan, and P. C. M. van Zilj, Absolute quantitation of diffusion constants in human stroke, Stroke 28, 483-490 (1997).
41. T. Q. Li, A. Takahashi, T. Hindmarsh, and M. E. Moseley, ADC mapping by means of one-shot spiral MRI technique and preliminary experience in acute cerebral ischemia, Magn. Reson. Med. 41, 141-147 (1999).
42. A. J. de Crespigny and M. E. Moseley, Eddy current induced image warping in diffusion weighted EPI, in Abstracts of the International Society of Magnetic Resonance in Medicine, 6th Annual Meeting, Sydney p. 661 (1998).