Mathematics (HMC), Mathematics (Pomona)
In this paper, we carry out an examination of four mechanisms that can potentially lead to changing morphologies in a growing tumor: variations in nutrient consumption rates, cellular adhesion, excessive consumption of nutrients by tumor cells and immune cell interactions with the tumor. We present numerical simulations using a hybrid PDE-cellular automata (CA) model demonstrating the effects of each mechanism before discussing hypotheses about the contribution of each mechanism to morphology change.
© 2006 Hindawi
L.G. de Pillis, D.G. Mallet and A.E. Radunskaya, "Spatial Tumor-Immune Modeling", special issue devoted to Cancer and Medical Treatment Modelling in the Journal Computational and Mathematical Methods in Medicine, Vol. 7, No. 2-3, June-September 2006, pp.159-176.