Quantitative mapping of the per-axon diffusion coefficients in brain white matter

  • Kaden E
  • Kruggel F
  • Alexander D
  • 24

    Readers

    Mendeley users who have this article in their library.
  • N/A

    Citations

    Citations of this article.

Abstract

PURPOSE: This article presents a simple method for estimating the effective diffusion coefficients parallel and perpendicular to the axons unconfounded by the intravoxel fiber orientation distribution. We also call these parameters the per-axon or microscopic diffusion coefficients.

THEORY AND METHODS: Diffusion MR imaging is used to probe the underlying tissue material. The key observation is that for a fixed b-value the spherical mean of the diffusion signal over the gradient directions does not depend on the axon orientation distribution. By exploiting this invariance property, we propose a simple, fast, and robust estimator of the per-axon diffusion coefficients, which we refer to as the spherical mean technique.

RESULTS: We demonstrate quantitative maps of the axon-scale diffusion process, which has factored out the effects due to fiber dispersion and crossing, in human brain white matter. These microscopic diffusion coefficients are estimated in vivo using a widely available off-the-shelf pulse sequence featuring multiple b-shells and high-angular gradient resolution.

CONCLUSION: The estimation of the per-axon diffusion coefficients is essential for the accurate recovery of the fiber orientation distribution. In addition, the spherical mean technique enables us to discriminate microscopic tissue features from fiber dispersion, which potentially improves the sensitivity and/or specificity to various neurological conditions. Magn Reson Med, 2015.

Author-supplied keywords

  • Diffusion MR imaging
  • Fiber orientation distribution
  • Microscopic diffusion anisotropy
  • Per-axon diffusion coefficients
  • Powder average
  • Spherical mean technique

Get free article suggestions today

Mendeley saves you time finding and organizing research

Sign up here
Already have an account ?Sign in

Find this document

Authors

  • Enrico Kaden

  • Frithjof Kruggel

  • Daniel C. Alexander

Cite this document

Choose a citation style from the tabs below

Save time finding and organizing research with Mendeley

Sign up for free