Tumor progression and response to treatment is determined in large part by the generation
of mechanical stresses that stem from both the solid and the fluid phase of the tumor …

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 …

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

We reformulate a model of avascular tumour growth in which the tumour tissue is studied as
a biphasic medium featuring an interstitial fluid and a solid phase. The description of growth …

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

Pennes' bioheat equation is considered one of the most prevalent mathematical equations
used to estimate the temperature profile of a tumor in a human body when subjected to …

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 …

The study aims to investigate the role of viscoelastic interactions between cells and
extracellular matrix (ECM) in avascular tumor growth. Computer simulations of glioma …

Biomechanical abnormalities of solid tumours involve stiffening of the tissue and
accumulation of mechanical stresses. Both abnormalities affect cancer cell proliferation and …

Cancer cell migration, as the principal element of tumor invasion, involves different cellular
mechanisms. Various modes of cell migration including single and collective motions …