Using mathematical models to simulate dynamic biological processes has a long history.
Over the past couple of decades or so, quantitative approaches have also made their way …

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 …

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 …

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 …

Relative to normal tissues, tumor microcirculation exhibits high structural and functional
heterogeneity leading to hypoxic regions and impairing treatment efficacy. Here …

A mathematical model for the scheduling of angiogenic inhibitors in combination with a
chemotherapeutic agent is formulated. Conditions are given that allow tumor eradication …

Abstract Background Cancer-associated fibroblasts (CAFs) are highly differentiated and
heterogeneous cancer-stromal cells that promote tumour growth, angiogenesis and matrix …

Cancer stem cells (CSCs) drive tumor progression, metastases, treatment resistance, and
recurrence. Understanding CSC kinetics and interaction with their nonstem counterparts …

Over the last 30 years, numerous research groups have attempted to provide mathematical
descriptions of the skin wound healing process. The development of theoretical models of …