Diffusion MRI is arguably the method of choice for characterizing white matter microstructure
in vivo. Over the typical duration of diffusion encoding, the displacement of water molecules …

In this high-resolution magnetic resonance imaging (MRI) study at 17.6 Tesla of a fixed rat
brain, we used the continuous time random walk theory (CTRW) for Brownian motion to …

Purpose In diffusion‐weighted MRI studies of neural tissue, the classical model assumes the
statistical mechanics of Brownian motion and predicts a monoexponential signal decay …

Hydrogels based on hyaluronic acid (HA) and agarose-carbomer (AC) raised an increasing
interest as drug delivery systems. The complex architecture of the polymer network, such as …

Applications of fractional calculus in magnetic resonance imaging (MRI) have increased
over the last twenty years. From the mathematical, computational, and biophysical …

This paper derives physically meaningful boundary conditions for fractional diffusion
equations, using a mass balance approach. Numerical solutions are presented, and …

Recent diffusion MRI studies of stroke in humans and animals have shown that the
quantitative parameters characterising the degree of non-Gaussianity of the diffusion …

Abstract Nowadays Nuclear Magnetic Resonance diffusion (dNMR) measurements of water
molecules in heterogeneous systems have broad applications in material science …

The diffusion-weighted NMR signal acquired using Pulse Field Gradient (PFG) techniques,
allows for extrapolating microstructural information from porous materials and biological …

Measuring molecular diffusion has been used to characterize the properties of living
organisms and porous materials. NMR is able to detect the diffusion process in vivo and …