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 …

Starting from a reformulation of the mass balance law based on the Bilby–Kröner–Lee (BKL)
decomposition of the deformation gradient tensor, we study some peculiar mechanical …

Brain tumours are among the deadliest types of cancer, since they display a strong ability to
invade the surrounding tissues and an extensive resistance to common therapeutic …

We highlight some mechanical aspects of the coupling among deformation, fluid flow,
structural evolution, and reorientation of fibres in fibre-reinforced, hydrated, soft biological …

Motivated by the convenience, in some biomechanical problems, of interpreting the mass
balance law of a growing medium as a nonholonomic constraint on the time rate of a …

This work focuses on the study of volumetric growth, ie, the branch of biomechanics that
investigates the variation of mass of biological systems, modeled as continuous media. Our …

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 …

Growth in nature is associated with the development of residual stresses and is in general
heterogeneous and anisotropic at all scales. Residual stress in an unloaded configuration of …

In this work, we contribute to the study of the structural reorganisation of biological tissues in
response to mechanical stimuli. We specialise our investigation to a class of hydrated soft …