Mechanotherapy is a groundbreaking approach to impact carcinogenesis. Cells sense and
respond to mechanical stimuli, translating them into biochemical signals in a process known …

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 …

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 …

Mathematical modeling has significant potential for understanding of biological models of
cancer and to accelerate the progress in cross-disciplinary approaches of cancer treatment …

The aim of this article is to propose a simple way of describing a tumour as a linear elastic
material from a reference configuration that is continuously evolving in time due to growth …

Among different hallmarks of cancer, understanding biomechanics of tumor growth and
remodeling benefits the most from the theoretical framework of continuum mechanics. Tumor …

In this research, a framework for modelling and simulation of hyper-elastic materials is
proposed. The framework explains how to employ strain energy functions as a constitutive …

Solid stresses can affect tumor patho-physiology in at least two ways: directly, by
compressing cancer and stromal cells, and indirectly, by deforming blood and lymphatic …

We derive a new homogenized model for heterogeneous porous media driven by
inhomogeneous body forces. We assume that the fine scale, characterizing the …

Cancer represents one the most challenging problems in medicine and biology nowadays,
and is being actively addressed by many researchers from different areas of knowledge. The …