Characterizing Diffusion Anisotropy with a Confinement Tensor
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1
Bo?aziçi University, Department of Physics, Türkiye
We studied the influence of diffusion on NMR experiments when the diffusing molecules are subjected to a force field. We place special emphasis on parabolic (Hookean) potentials, which we tackled theoretically using path integral methods. We obtained explicit relationships for commonly employed gradient waveforms involving pulsed and oscillating gradients. Semi-analytical multiple correlation function (MCF) method as well as random walk simulations validated our theoretical results.
The three-dimensional formulation of the problem leads to a new characterization of diffusional anisotropy. Unlike for the case of traditional methods that employ a diffusion tensor, anisotropy in our model originates from the stiffness tensor of a virtual spring while bulk diffusivity is retained in the formulation. Our approach thus yields an expansive alternative to diffusion tensor imaging (DTI). Contrary to DTI, our technique accounts for the restricted character of the diffusion process as reflected in its diffusion-time dependence. The formalism is expected to be useful in addressing a variety of problems involving macroscopic (global) and microscopic (local) diffusion anisotropy.
Keywords:
Diffusion,
MRI,
dMRI,
multidimensional,
diffusion encoding
Conference:
New dimensions in diffusion encoding, Fjälkinge, Sweden, 11 Jan - 14 Jan, 2016.
Presentation Type:
Oral presentation
Topic:
New Dimensions in Diffusion Encoding
Citation:
Özarslan
E
(2016). Characterizing Diffusion Anisotropy with a Confinement Tensor.
Front. Phys.
Conference Abstract:
New dimensions in diffusion encoding.
doi: 10.3389/conf.FPHY.2016.01.00013
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Received:
07 Jul 2016;
Published Online:
07 Jul 2016.
*
Correspondence:
Prof. Evren Özarslan, Bo?aziçi University, Department of Physics, istanbul, 34342, Türkiye, evren.ozarslan@boun.edu.tr