Spatial Tumor-Immune Modeling
Mathematics (HMC), Mathematics (Pomona)
cellular adhesion, growing tumor, hybrid PDE-cellular automata, morphologies, morphology change, nutrient consumption rates, tumor, tumor cells, variations
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 Publishing Corporation
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L.G. de Pillis D.G. Mallet and A.E. Radunskaya, "Spatial Tumor-Immune Modeling" (reprint), 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. doi: 10.1080/10273660600968978