Sunday, September 18, 2005

Multiple-quantum vector field imaging by magnetic resonance

Louis-S. Bouchard and Warren S. Warren

Published in J. Magn. Res. 177, 9-21 (2005)

We introduce a method for non-invasively mapping fiber orientation in materials and biological tissues using intermolecular multiple-quantum coherences. The nuclear magnetic dipole field of water molecules is configured by a CRAZED sequence to encode spatial distributions of material heterogeneities. At any given point r in space, we obtain the spherical coordinates of fiber orientation (θ,ϕ) with respect to the external field by comparing three signals short parallelGXshort parallel, short parallelGYshort parallel, and short parallelGZshort parallel (modulus), acquired with linear gradients applied along the X, Y, and Z axes, respectively. For homogeneous isotropic materials, a subtraction short parallelGZshort parallelshort parallelGXshort parallelshort parallelGYshort parallel gives zero. With anisotropic materials, we find an empirical relationship relating short parallelGZshort parallelshort parallelGXshort parallelshort parallelGYshort parallel/(short parallelGXshort parallel + short parallelGYshort parallel + short parallelGZshort parallel) to the polar angle θ, while short parallelGXshort parallelshort parallelGYshort parallel/(short parallelGXshort parallel + short parallelGYshort parallel + short parallelGZshort parallel) is related to the azimuthal angle ϕ. Experiments in structured media confirm the structural sensitivity. This technique can probe length scales not accessible by conventional MRI and diffusion tensor imaging.

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