Quantification of non‐Gaussianity for water diffusion in brain by means of diffusional kurtosis
imaging (DKI) is reviewed. Diffusional non‐Gaussianity is a consequence of tissue structure …

The diffusion of water molecules inside organic tissues is often anisotropic (1). Namely, if
there are aligned structures in the tissue, the apparent diffusion coefficient (ADC) of water …

Voxel-based analysis of diffusion MRI data is increasingly popular. However, most white
matter voxels contain contributions from multiple fibre populations (often referred to as …

Matrix theory is one of the most fundamental tools of mathematics and science, and a
number of classical books on matrix analysis have been written to explore this theory. As a …

This work introduces a compartment-based model for apparent cell body (namely soma) and
neurite density imaging (SANDI) using non-invasive diffusion-weighted MRI (DW-MRI). The …

Diffusion-weighted MRI (DW-MRI) has been increasingly used in imaging neuroscience
over the last decade. An early form of this technique, diffusion tensor imaging (DTI) was …

Tensors, as geometric objects that describe linear or multi-linear relations between
geometric vectors, scalars, and other tensors, have provided a concise mathematical …

Numerous scientific fields rely on elaborate but partly suboptimal data processing pipelines.
An example is diffusion magnetic resonance imaging (diffusion MRI), a non-invasive …

Purpose Linear least squares estimators are widely used in diffusion MRI for the estimation
of diffusion parameters. Although adding proper weights is necessary to increase the …

Technologic advances enable performance of diffusion‐weighted imaging (DWI) at ultrahigh
b‐values, where standard monoexponential model analysis may not apply. Rather, non …