New vessel formation (angiogenesis) is an essential physiological process for embryologic
development, normal growth, and tissue repair. Angiogenesis is tightly regulated at the …

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 …

In this paper we present an overview of agent-based models that are used to simulate
mechanical and physiological phenomena in cells and tissues, and we discuss underlying …

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 …

This is the first paper in a two-part series in which we develop, analyze, and simulate a
diffuse interface continuum model of multispecies tumor growth and tumor-induced …

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 develop a thermodynamically consistent mixture model for avascular solid tumor growth
which takes into account the effects of cell-to-cell adhesion, and taxis inducing chemical and …

The flow of interstitial fluid and the associated interstitial fluid pressure (IFP) in solid tumors
and surrounding host tissues have been identified as critical elements in cancer growth and …

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 …

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