A multiphase model describing vascular tumour growth.

“Cell Adhesion and Re-organisation in a Multiphase Model Describing Tumour and Tissue Growth”

Multiphase modelling of tumour growth and extracellular matrix interaction: mathematical tools and applications.

Resorting to a multiphase modelling framework, tumours are described here as a mixture of tumour and host cells within a porous structure constituted by a remodelling extracellular matrix (ECM), which is wet by a physiological extracellular fluid. The model presented in this article focuses mainly on the description of mechanical interactions of the growing tumour with the host tissue, their in...

P112: Tumour Associated Macrophages and Vasculogenic Mimicry: A New Insight in Glioblastoma Treatment

Glioblastoma is one of the most common brain tumors in adults with poor prognosis, aggressiveness, and treatment resistance. Vasculogenic mimicry (VM) consists of generating vascular-like channels by tumor cells, independent of endothelial angiogenesis. Studies showed in glioblastoma, the proportion of VM to all vascular channels is associated with poor prognosis and higher invasiveness levels....

A multiphase Cahn-Hilliard-Darcy model for tumour growth with necrosis

We derive a Cahn–Hilliard–Darcy model to describe multiphase tumour growth taking interactions with multiple chemical species into account as well as the simultaneous occurrence of proliferating, quiescent and necrotic regions. Via a coupling of the Cahn–Hilliard–Darcy equations to a system of reaction-diffusion equations a multitude of phenomena such as nutrient diffusion and consumption, angi...

A two-fluid model for tissue growth within a dynamic flow environment

We study the growth of a tissue construct in a perfusion bioreactor, focussing on its response to the mechanical environment. The bioreactor system is modelled as a two-dimensional channel containing a tissue construct through which a flow of culture medium is driven. We employ a multiphase formulation of the type presented by G. Lemon, J. King, H. Byrne, O. Jensen and K. Shakesheff in their st...