The processes underpinning solid tumour growth involve the interactions between various
healthy and tumour tissue components and the vasculature, and can be affected in different …

Cancer is a heterogeneous disease and tumours of the same type can differ greatly at the
genetic and phenotypic levels. Understanding how these differences impact sensitivity to …

The growth of solid tumours takes place in two phases—the initial avascular phase, in the
absence of blood supply, and then the subsequent vascular growth phase. During the …

We here propose a hybrid computational framework to reproduce and analyze aspects of
the avascular progression of a generic solid tumor. Our method first employs an individual …

During avascular tumor growth, the balance between cell proliferation and cell loss
determines whether the colony expands or regresses. Mathematical models describing …

In this study, we propose a set of nonlinear differential equations to model the dynamic
growth of avascular stage tumors, considering nutrient supply from underlying tissue, innate …

In this paper we make rigorous analysis to a mathematical model for the growth of
nonnecrotic tumors under the action of external inhibitors. By external inhibitor we mean an …

Tumors cannot grow beyond a certain size (about 1–2 mm in diameter) through simple
diffusion of oxygen and other essential nutrients into the tumor. Angiogenesis, the formation …

Recent experimental evidence suggests that vasculogenesis may play an important role in
tumour vascularisation. While angiogenesis involves the proliferation and migration of …

Background Cancer arises when within a single cell multiple malfunctions of control systems
occur, which are, broadly, the system that promote cell growth and the system that protect …