Spatial Tumor-Immune Modeling

Authors

Lisette G. de Pillis, Harvey Mudd CollegeFollow
D G. Mallet, Queensland University of Technology
Ami E. Radunskaya, Pomona CollegeFollow

Document Type

Article

Department

Mathematics (HMC), Mathematics (Pomona)

Publication Date

2006

Keywords

cellular adhesion, growing tumor, hybrid PDE-cellular automata, morphologies, morphology change, nutrient consumption rates, tumor, tumor cells, variations

Abstract

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.

Rights Information

© 2006 Hindawi Publishing Corporation

Terms of Use & License Information

This work is licensed under a Creative Commons Attribution 3.0 License.

DOI

10.1080/10273660600968978

Recommended Citation

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