Abstract #2795
Characterizing diffusion anisotropy for molecules under the influence of a parabolic potential: A plausible alternative to DTI
Maryam Afzali 1 , Cem Yolcu 2,3 , and Evren Ozarslan 3
1
Department of Electrical Engineering, Sharif
University of Technology, Tehran, Iran,
2
Department
of Physics and Astronomy, Universit di Padova, Padova,
Italy,
3
Department
of Physics, Bogazici University, Istanbul, Turkey
We employ a model of diffusion-attenuated MR signal for
molecules under the influence of a Hookean force. The
model can be envisioned as an approximation to the
mathematically more difficult restricted diffusion
problems. The observed diffusion anisotropy is
attributed to the anisotropy of a springs stiffness
tensor rather than the diffusion coefficient, which is
taken to be a scalar. We demonstrate the estimation of
the stiffness tensor with a positive definiteness
constraint on in vivo data.
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