Abstract #3468

Regularization stabilizes the fit of the two-compartment free water diffusion MRI model

Jordan A. Chad^1,2, J. Jean Chen^1,2, and Ofer Pasternak³

¹Rotman Research Institute, Baycrest Health Sciences, Toronto, ON, Canada, ²Medical Biophysics, University of Toronto, Toronto, ON, Canada, ³Brigham and Women's Hospital, Harvard Medical School, Boston, MA, United States

Free water mapping using single-shell diffusion MRI has been proposed by regularizing the ill-posed problem, but the effect of this regularization has yet to be systematically investigated. Here we explore the solution space for the two-compartment free water model. Without regularization, the solution space is flat for one-shell data, and while it has a minimum for two-shell data, this minimum is not particularly steep. Regularizing the fit by exploiting smoothness of the tensor creates a steep minimum in both one- and two-shell data, demonstrating the advantage of regularization.

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