In this paper, we present and investigate a model for solid tumor growth that incorporates
features of the tumor microenvironment. Using analysis and nonlinear numerical …

We build on our earlier mathematical model (Ward & King, 1997, IMA J. Appl. Math Appl.
Med. Biol., 14, 39–69) by incorporating two necrotic depletion mechanisms, which results in …

Purpose In many previous experimental studies on multicellular tumor spheroids, the
spheroid diameter at which central necrosis develops has been determined to be twice the …

It is thought that glycolysis is the predominant energy pathway in cancer, particularly in solid
and poorly vascularized tumors where hypoxic regions develop. To evaluate whether …

The preovulatory follicle provides a unique physiological example of rapid growth
accompanied by neovascularization, two processes that are generally characteristic of …

Solid tumors, whether in vitro or in vivo, are not an undifferentiated mass of cells. They
include necrotic regions, regions of cells that are in a quiescent state (either slowly growing …

Regions of hypoxia in tumours can be modelled in vitro in 2D cell cultures with a hypoxic
chamber or incubator in which oxygen levels can be regulated. Although this system is …

We simulate the growth of a benign avascular tumour embedded in normal tissue, including
cell sorting that occurs between tumour and normal cells, due to the variation of adhesion …

In vivo volume growth of two murine tumor cell lines was compared by mathematical
modeling to their volume growth as multicellular spheroids. Fourteen deterministic …

Exosomes are physiologically secreted nanoparticles recently established as natural
delivery systems involved in cell-to-cell communication and content exchange. Due to their …