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 …

Blood travels throughout the body in an extensive network of vessels–arteries, veins and
capillaries. This vascular network is not static, but instead dynamically remodels in response …

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 …

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 recruitment of new blood vessels, is a critical process for the growth,
expansion, and metastatic dissemination of develo** tumors. Three types of cells make up …

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 …

Despite major advances in the study of glioma, the quantitative links between intra-tumor
molecular/cellular properties, clinically observable properties such as morphology, and …

Vascular development and homeostasis are underpinned by two fundamental features: the
generation of new vessels to meet the metabolic demands of under-perfused regions and …

We investigate a three-dimensional multiscale model of vascular tumour growth, which
couples blood flow, angiogenesis, vascular remodelling, nutrient/growth factor transport …

Simple Summary The recruitment of new vasculature via angiogenesis is a critical
component of tumor development, which fundamentally influences tumor growth and …