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A linear relationship exists among brain diffusion eigenvalues measured by diffusion tensor magnetic resonance

M M Bahn1

  • 1Neuroradiology Section, Mallinckrodt Institute of Radiology, St. Louis, Missouri, 63110, USA. bahn@mirlink.wustl.edu

Journal of Magnetic Resonance (San Diego, Calif. : 1997)
|March 4, 1999
PubMed
Summary

Magnetic resonance diffusion tensor imaging reveals that brain diffusion eigenvalues follow a linear trend in ordered eigenvalue space. This finding applies to both human and monkey brains, suggesting a universal property of brain diffusion.

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Area of Science:

  • Neuroimaging
  • Biophysics
  • Medical Physics

Background:

  • Magnetic resonance diffusion tensor imaging (DTI) quantifies water diffusion in biological tissues.
  • Brain diffusion is anisotropic, meaning it varies with direction, and is described by a diffusion tensor.
  • Diffusion tensor eigenvalues represent the magnitude of diffusion along the principal axes of a diffusion ellipsoid.

Purpose of the Study:

  • To investigate the relationship between diffusion tensor eigenvalues from different brain regions.
  • To determine if a consistent mathematical model describes these eigenvalues across species.
  • To explore the underlying biophysical principles governing brain diffusion patterns.

Main Methods:

  • Collected diffusion tensor eigenvalues from various regions of both human and monkey brains.

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  • Represented sets of eigenvalues as points in an ordered eigenvalue space.
  • Determined the best-fit line in this space using least-squares minimization.
  • Constructed a new coordinate system to analyze the linear trends.

    • Main Results:

    • Sets of ordered diffusion eigenvalues from different brain regions consistently formed linear trends in the eigenvalue space.
    • Significant linear trends were observed in both monkey and human brain data.
    • The same linear relationship appeared to describe the eigenvalues from both species.

    Conclusions:

    • Brain diffusion eigenvalues exhibit a universal linear relationship in ordered eigenvalue space.
    • This linear trend likely reflects the conservation of total isotropic diffusion and the degree of microfiber orientation dispersion within brain voxels.
    • The findings provide a novel insight into the biophysical properties of brain tissue microstructure.