From diffusion MRI data acquired with isotropic diffusion encoding over a wide range of b-values, we estimate intravoxel distributions of mean diffusivities using a regularized Inverse Laplace Transform analysis. In vivo spectra of intra-voxel mean diffusivities measured in healthy subjects show consistent single-peak distributions in most brain regions, with subtle differences between white matter, cortical gray matter, subcortical gray matter, corpus callosum, and cerebrospinal fluid. This non-invasive, model-free, whole-brain approach to quantifying spectra of intrinsic tissue water mobilities could improve the clinical diagnosis and characterization of stroke, cancer, and other diseases.
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