We present a review of porosity and diffusion in biological tissues from different
perspectives. We first introduce the topic by illustrating experimental evidence related to …

In the present work a novel multiple scales asymptotic homogenization approach is
proposed to study the effective properties of hierarchical composites with periodic structure …

The asymptotic homogenization theory is usually employed for analysis of composites with
hierarchical microstructures, and the interface effect has to be considered for …

In the present work, we apply the asymptotic homogenization technique to the equations
describing the dynamics of a heterogeneous material with evolving micro-structure, thereby …

The role of the microvascular network geometry in transport phenomena in solid tumors and
its interplay with the leakage and pressure drop across the vessels is qualitatively and …

We present the macroscale three-dimensional numerical solution of anisotropic Biot's
poroelasticity, with coefficients derived from a micromechanical analysis as prescribed by …

A new mathematical model for the macroscopic behavior of a material composed of a
poroelastic solid embedding a Newtonian fluid network phase (also referred to as …

The application of hyperthermia to cancer treatment is studied using a novel model arising
from the fundamental principles of flow, mass and heat transport in biological tissues. The …

We focus on modelling of cancer hyperthermia driven by the application of the magnetic field
to iron oxide nanoparticles. We assume that the particles are interacting with the tumour …

In the present work we embrace a three scales asymptotic homogenization approach to
investigate the effective behavior of hierarchical linear elastic composites reinforced by …