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
GX
,
GY
, and
GZ
(modulus), acquired with linear gradients applied along the X, Y, and Z axes, respectively. For homogeneous isotropic materials, a subtraction
GZ
−
GX
−
GY
gives zero. With anisotropic materials, we find an empirical relationship relating
GZ
−
GX
−
GY
/(
GX
+
GY
+
GZ
) to the polar angle θ, while
GX
−
GY
/(
GX
+
GY
+
GZ
) 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.
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
GX
,
GY
, and
GZ
(modulus), acquired with linear gradients applied along the X, Y, and Z axes, respectively. For homogeneous isotropic materials, a subtraction
GZ
−
GX
−
GY
gives zero. With anisotropic materials, we find an empirical relationship relating
GZ
−
GX
−
GY
/(
GX
+
GY
+
GZ
) to the polar angle θ, while
GX
−
GY
/(
GX
+
GY
+
GZ
) 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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