Skip to main content

Advertisement

Log in

Deviations from the diffusion tensor model as revealed by contour plot visualization using high angular resolution diffusion-weighted imaging (HARDI)

  • Research Article
  • Published:
Magnetic Resonance Materials in Physics, Biology and Medicine Aims and scope Submit manuscript

Abstract

The standard diffusion tensor model is limited in its ability to provide detailed information about multidirectional fiber architecture in human white matter. Additional directional acquisition of diffusivity properties with high angular resolution diffusion-weighted imaging (HARDI) acquisition schemes may deliver more information on areas with fiber crossings than standard DTI. However, representation of the additional information and the rating and visualization of fiber complexity is challenging. We used projection 2D-plots in combination with a HARDI acquisition scheme of 129 diffusion directions and compared the spherical diffusion variance index (SDI) with the relative anisotropy index (RAI). In normal controls, white matter areas with unidirectional fiber arrangement and areas with more complex fiber composition were identified with this approach. HARDI confirms and can visualize deviations from the tensor-like representation, thereby providing information on fiber structure complexity, which may be of considerable interest for clinical studies.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1.
Fig. 2. a
Fig. 3.
Fig. 4.
Fig. 5.
Fig. 6.

Similar content being viewed by others

References

  1. Frank LR (2001) Anisotropy in high angular resolution diffusion-weighted MRI. Magn Reson Med 45:935–9

    Article  PubMed  CAS  Google Scholar 

  2. Frank LR (2002) Characterization of anisotropy in high angular resolution diffusion-weighted MRI. Magn Reson Med 47:1083–99

    Article  PubMed  Google Scholar 

  3. Basser PJ, Mattiello J, Le Bihan D (1994) Estimation of the effective self-diffusion tensor from the NMR spin echo. J Magn Reson B 103:247–54

    Article  PubMed  CAS  Google Scholar 

  4. Basser PJ, Mattiello J, LeBihan D (1994) MR diffusion tensor spectroscopy and imaging. Biophys J 66: 259–67

    Article  PubMed  CAS  Google Scholar 

  5. Pierpaoli C, Basser PJ (1996) Toward a quantitative assessment of diffusion anisotropy. Magn Reson Med 36:893–906

    PubMed  CAS  Google Scholar 

  6. Chenevert TL, Brunberg JA, Pipe JG (1990) Anisotropic diffusion in human white matter: demonstration with MR techniques in vivo. Radiology 177:401–5

    PubMed  CAS  Google Scholar 

  7. Doran M, Hajnal JV, van Bruggen N, King MD, Young IR, Bydder GM (1990) Normal and abnormal white matter tracts shown by MR imaging using directional diffusion weighted sequences. J Comput Assist Tomogr 14:865–73

    PubMed  CAS  Google Scholar 

  8. Mori S, Crain BJ, Chacko VP, van ZP (1999) Three-dimensional tracking of axonal projections in the brain by magnetic resonance imaging. Ann Neurol 45:265–9

    Article  PubMed  CAS  Google Scholar 

  9. Basser PJ, Pajevic S, Pierpaoli C, Duda J, Aldroubi A (2000) In vivo fiber tractography using DT-MRI data. Magn Reson Med 44:625–32

    Article  PubMed  CAS  Google Scholar 

  10. Conturo TE, Lori NF, Cull TS, et al. (1999) Tracking neuronal fiber pathways in the living human brain. Proc Natl Acad Sci USA 96:10422–7

    Article  PubMed  CAS  Google Scholar 

  11. Buchsbaum MS, Tang CY, Peled S, et al (1998) MRI white matter diffusion anisotropy and PET metabolic rate in schizophrenia. Neuroreport 9:425–30

    PubMed  CAS  Google Scholar 

  12. Ellis CM, Simmons A, Jones DK, et al (1999) Diffusion tensor MRI assesses corticospinal tract damage in ALS. Neurology 53:1051–8

    PubMed  CAS  Google Scholar 

  13. Jones DK, Lythgoe D, Horsfield MA, Simmons A, Williams SC, Markus HS (1999) Characterization of white matter damage in ischemic leukoaraiosis with diffusion tensor MRI. Stroke 30:393–7

    PubMed  CAS  Google Scholar 

  14. Rose SE, Chen F, Chalk JB, et al (2000) Loss of connectivity in Alzheimer's disease: an evaluation of white matter tract integrity with colour coded MR diffusion tensor imaging. J Neurol Neurosurg Psychiatry 69:528–30

    Article  PubMed  CAS  Google Scholar 

  15. Pfefferbaum A, Sullivan EV, Hedehus M, Lim KO, Adalsteinsson E, Moseley M (2000) Age-related decline in brain white matter anisotropy measured with spatially corrected echo-planar diffusion tensor imaging. Magn Reson Med 44:259–68

    Article  PubMed  CAS  Google Scholar 

  16. Agartz I, Andersson JL, Skare S (2001) Abnormal brain white matter in schizophrenia: a diffusion tensor imaging study. Neuroreport 12:2251–4

    Article  PubMed  CAS  Google Scholar 

  17. Eriksson SH, Rugg-Gunn FJ, Symms MR, Barker GJ, Duncan JS (2001) Diffusion tensor imaging in patients with epilepsy and malformations of cortical development. Brain 124:617–26

    Article  PubMed  CAS  Google Scholar 

  18. Mukherjee P, McKinstry RC (2001) Reversible Posterior leukoencephalopathy syndrome: evaluation with diffusion-tensor MR imaging. Radiology 219:756–65

    PubMed  CAS  Google Scholar 

  19. Pierpaoli C, Barnett A, Pajevic S, et al (2001) Water diffusion changes in Wallerian degeneration and their dependence on white matter architecture. Neuroimage 13: 1174–85

    Article  PubMed  CAS  Google Scholar 

  20. Chepuri NB, Yen YF, Burdette JH, Li H, Moody DM, Maldjian JA (2002) Diffusion anisotropy in the corpus callosum. Am J Neuroradiol 23:803–8

    PubMed  Google Scholar 

  21. Mori S, Frederiksen K, van ZP, et al (2002) Brain white matter anatomy of tumor patients evaluated with diffusion tensor imaging. Ann Neurol 51:377–80

    Article  PubMed  Google Scholar 

  22. Basser PJ, Pierpaoli C(1998) A simplified method to measure the diffusion tensor from seven MR images. Magn Reson Med 39:928–34

    PubMed  CAS  Google Scholar 

  23. Pierpaoli C (1997) Oh no! one more method for color mapping of fiber tract direction using diffusion MR imaging data. 5th Proc Intl Soc Magn Reson Med, p. 1741

  24. Jones DK, Williams S, Horsfield MA (1997) Full representation of white-matter fiber direction on one map via diffusion tensor analysis. 5th Proc Intl Soc Magn Reson Med, p. 1743

  25. Pajevic S, Pierpaoli C (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 42:526–40

    Article  PubMed  CAS  Google Scholar 

  26. Tuch DS, Weisskoff RM, Belliveau JW, Wedeen VJ (1999) High angular resolution diffusion imaging of the human brain. 7th Proc Intl Soc Magn Reson Med 321

  27. Frank LR (2001) Characterization of anisotrophy in high angular resolution diffusion weighted MRI. 9th Proc Intl Soc Magn Reson Med, p. 1531

  28. Hagen EAH, Henkelman RM (2001) Orientational diffusion reflects fiber structure within a voxel. 9th Proc Intl Soc Magn Reson Med 1528

  29. Wedeen VJ, Reese TG, Tuch DS, et al (2000 ) Mapping fiber orientation spectra in cerebral white matter with Fourier-transform diffusion MRI. 8th Proc Intl Soc Magn Reson Med, p. 82

  30. Tuch DS, Wiegell MR, Reese TG, Belliveau JW, Wedeen VJ (2001) measuring cortico-cortical connectivity matrices with diffusion spectrum imaging. 9th Proc Intl Soc Magn Reson Med, p. 502

  31. Wiegell MR, Reese TG, Tuch DS, Sorensen GA, Wedeen VJ (2001) Diffusion spectrum imaging of fiber white matter degeneration. 9th Proc Intl Soc Magn Reson Med 504

  32. Hirsch JG, Schwenk SM, Roßmanith C, Hennerici MG, Gass A (2002) High angular resolution diffusion imaging (HARDI)—an alternative approach to DSI? 10th Proc Intl Soc Magn Reson Med, p. 1161

  33. Anderson AW, Ding Z (2002) Sub-voxel measurement of fiber orientation using high angular resolution diffusion tensor imaging. 10th Proc Intl Soc Magn Reson Med, p. 440

  34. Alexander DC, Barker GJ, Arridge SR (2002) Tissue structure complexity maps from high angular resolution diffusion weighted magnetic resonance measurements. 10th Proc Intl Soc Magn Reson Med, p. 1158

  35. Miller AJ, Joseph PM (1993 ) The use of power images to perform quantitative analysis on low SNR MR images. Magn Reson Imaging 11:1051–6

    Article  PubMed  CAS  Google Scholar 

  36. Cox RW (1996) AFNI: software for analysis and visualization of functional magnetic resonance neuroimages. Comput Biomed Res 29:162–73

    Article  PubMed  CAS  Google Scholar 

  37. Cox RW, Hyde JS (1997) Software tools for analysis and visualization of FMRI data. NMR Biomed 10:171–8

    Article  PubMed  CAS  Google Scholar 

  38. Haselgrove JC, Moore JR (1996) Correction for distortion of echo-planar images used to calculate the apparent diffusion coefficient. Magn Reson Med 36:960–4

    PubMed  CAS  Google Scholar 

  39. Unser M, Aldroubi A, Eden M (1991 )Fast B-Spline transforms for continuous image representation and interpolation. IEEE Transactions on Pattern Analysis and Machine Intelligence 13:277-85

    Article  Google Scholar 

  40. Unser M, Aldroubi A, Eden M. B-Spline (1993 )Signal processing. Part I. Theory. IEEE Transactions on Signal Processing 41:821–32

    Article  Google Scholar 

  41. Unser M, Aldroubi A, Eden M (1993) B-Spline Signal processing. Part II. Efficient design and applications. IEEE Transactions on Signal Processing 41:834–48

    Article  Google Scholar 

  42. Basser PJ, Pierpaoli C (1996) Microstructural and physiological features of tissues elucidated by quantitative-diffusion-tensor MRI. J Magn Reson B 111:209–19

    Article  PubMed  CAS  Google Scholar 

  43. Pierpaoli C, Jezzard P, Basser PJ, Barnett A, Di Chiro G (1996) Diffusion tensor MR imaging of the human brain. Radiology 201:637–48

    PubMed  CAS  Google Scholar 

  44. Westin CF, Peled S, Gudbjartsson H, Kikinis R, Jolesz FA (1997) Geometrical diffusion measures for MRI from tensor basis analysis. 5th Proc Intl Soc Magn Reson Med, p. 1742

  45. Alexander AL, Hasan K, Kindlmann G, Parker DL, Tsuruda JS (2000 ) A geometric analysis of diffusion tensor measurements of the human brain. Magn Reson Med 44:283–91

    Article  PubMed  CAS  Google Scholar 

  46. Hsu EW, Mori S (1995) Analytical expressions for the NMR apparent diffusion coefficients in an anisotropic system and a simplified method for determining fiber orientation. Magn Reson Med 34:194–200

    PubMed  CAS  Google Scholar 

  47. Mulkern RV, Gudbjartsson H, Westin CF, et al (1999) Multi-Component apparent diffusion coefficients in human brain. NMR Biomed 12:51–62

    Article  PubMed  CAS  Google Scholar 

  48. Norris DG (2001) The effects of microscopic tissue parameters on the diffusion weighted magnetic resonance imaging experiment. NMR Biomed 14:77–93

    Article  PubMed  CAS  Google Scholar 

  49. Gass A, Niendorf T, Hirsch JG (2001) Acute and chronic changes of the apparent diffusion coefficient in neurological disorders—biophysical mechanisms and possible underlying histopathology. J Neurol Sci 186:15–23

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Jochen G. Hirsch.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Hirsch, J.G., Schwenk, S.M., Rossmanith, C. et al. Deviations from the diffusion tensor model as revealed by contour plot visualization using high angular resolution diffusion-weighted imaging (HARDI). Magn Reson Mater Phy 16, 93–102 (2003). https://doi.org/10.1007/s10334-003-0011-y

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10334-003-0011-y

Keywords

Navigation