We review, systematize and discuss models of diffusion in neuronal tissue, by putting them
into an overarching physical context of coarse‐graining over an increasing diffusion length …

Since the realization that diffusion MRI can probe the microstructural organization and
orientation of biological tissue in vivo and non‐invasively, a multitude of diffusion imaging …

This article proposes a new measure called Apparent Fibre Density (AFD) for the analysis of
high angular resolution diffusion-weighted images using higher-order information provided …

Diffusion-weighted (DW) MR images contain information about the orientation of brain white
matter fibres that potentially can be used to study human brain connectivity in vivo using …

Diffusion-weighted magnetic resonance imaging can provide information related to the
arrangement of white matter fibers. The diffusion tensor is the model most commonly used to …

We develop a general analytical and numerical framework for estimating intra-and extra-
neurite water fractions and diffusion coefficients, as well as neurite orientational dispersion …

Mainstream statistical methodology is generally applicable to data observed in Euclidean
space. There are, however, numerous contexts of considerable scientific interest in which …

Diffusion tensor imaging (DTI) accurately delineates white matter pathways when the
Gaussian model of diffusion is valid. However, DTI yields erroneous results when diffusion …

Previously, the convergence analysis for linear statistical inverse problems has mainly
focused on spectral cut-off and Tikhonov-type estimators. Spectral cut-off estimators achieve …

Estimating intra-and extra-axonal microstructure parameters, such as volume fractions and
diffusivities, has been one of the major efforts in brain microstructure imaging with MRI. The …