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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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