We present a novel framework to estimate on in-vivo data a) independent intra and extracellular axial-diffusivities, b) extracellular radial-diffusivity, c) non-parametric bundle dispersion, d) axonal diameter indexes, and e) intracellular volume fractions. Our methodology does not fix a priori the value of any of these parameters or uses tortuosity models on the extracellular radial diffusivity. The proposal is an extension of the ED^3 method, which provided the best solution on the signal prediction on the White Matter Modelling Challenge 2015. We perform a comprehensive set of synthetic experiments under realistic conditions to validate the capabilities of the proposal.
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