Abstract #3087

Obtaining geometrical information from the time-dependent apparent diffusion coefficient

Simona Schiavi¹, Houssem Haddar¹, and Jing-Rebecca Li¹

¹CMAP, INRIA, Ecole Polytechnique, Palaiseau Cedex, France

Diffusion MRI (dMRI) has been established as a useful tool to obtain voxel-level information on the tissue micro-structure. An important quantity measured in dMRI is the apparent diffusion coefficient (ADC), and it has been well established by in-vivo brain imaging experiments that the ADC depends significantly on the diffusion time. We derive an explicit formula for the time-dependent ADC, and, using the ADCs at multiple diffusion times and gradient directions, we estimate the surface to volume ratio, the eigenvalues and the first moment of the dominant eigen-functions associated to the geometry of the biological cells.

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