Phantoms, both numerical (software) and physical (hardware), can serve as a gold standard
for the validation of MRI methods probing the brain microstructure. This review aims to …

Impulse propagation in biological tissues is known to be modulated by structural
heterogeneity. In cardiac muscle, improved understanding on how this heterogeneity …

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 …

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 …

Diffusion in biological tissues is known to be hindered by the structural complexity of the
underlying medium. In the heart, improved characterisation on how this complexity …

We study how and to what extent the existence of non-local diffusion affects the transport of
chemical species in a composite medium. For our purposes, we prescribe the mass flux to …

The availability and evolution of chemical agents play an important role in the growth of a
tumour and, therefore, the mathematical description of their consumption is of special …

In this paper, we provide a context for the modeling approaches that have been developed
to describe non-Gaussian diffusion behavior, which is ubiquitous in diffusion weighted …

Purpose During the time window of diffusion weighted magnetic resonance imaging
experiments (DW-MRI), water diffusion in tissue appears to be anomalous as a transient …