Mathematical modelling of the movement of animals, micro-organisms and cells is of great
relevance in the fields of biology, ecology and medicine. Movement models can take many …

This paper presents a critical review of selected topics related to the modelling of cancer
onset, evolution and growth, with the aim of illustrating, to a wide applied mathematical …

Despite major scientific, medical and technological advances over the last few decades, a
cure for cancer remains elusive. The disease initiation is complex, and including initiation …

Angiogenesis, the growth of a network of blood vessels, is a crucial component of solid
tumour growth, linking the relatively harmless avascular growth phase and the potentially …

In this article, we present a new multiscale mathematical model for solid tumour growth
which couples an improved model of tumour invasion with a model of tumour-induced …

We present a 3D multi-cell simulation of a generic simplification of vascular tumor growth
which can be easily extended and adapted to describe more specific vascular tumor types …

We extend the diffuse interface model developed in Wise et al.(2008) to study nonlinear
tumor growth in 3-D. Extensions include the tracking of multiple viable cell species …

Angiogenesis, the growth of a network of blood vessels, is a crucial component of solid
tumor growth, linking the relatively harmless avascular and the potentially fatal vascular …

Introduction to Mathematical Oncology presents biologically well-motivated and
mathematically tractable models that facilitate both a deep understanding of cancer biology …

Two major mechanisms are involved in the formation of blood vasculature: vasculogenesis
and angiogenesis. The former term describes the formation of a capillary-like network from …