Cellular Automaton Modeling of Tumor Invasion
Definition of the Subject
Cancer cells acquire characteristic traits in a stepwise manner during carcinogenesis. Some of these traits are autonomous growth, induction of angiogenesis, invasion, and metastasis. In this chapter, the focus is on one of the late stages of tumor progression: tumor invasion. Tumor invasion has been recognized as a complex system, since its behavior emerges from the combined effect of tumor cell-cell and cell-microenvironment interactions. Cellular automata (CA) provide simple models of self-organizing complex systems in which collective behavior can emerge out of an ensemble of many interacting “simple” components. Recently, cellular automata have been used to gain a deeper insight in tumor invasion dynamics. In this entry, we briefly introduce cellular automata as models of tumor invasion and we critically review the most prominent CA models of tumor invasion.
KeywordsTumor Invasion Cellular Automaton Cellular Automaton Tumor Cell Migration Cellular Automaton Model
We are grateful to D. Basanta, L. Brusch, A. Chauviere, E. Flach, and F. Peruani for the comments and the fruitful discussions. We acknowledge support from the systems biology network HepatoSys of the German Ministry of Education and Research through grant 0313082 J. Andreas Deutsch is a member of the DFG Research Center for Regenerative Therapies Dresden – Cluster of Excellence – and gratefully acknowledges support from the center. The research was supported in part by funds from the EU Marie Curie Network “Modeling, Mathematical Methods and Computer Simulation of Tumor Growth and Therapy” (EU-RTD IST-2001-38923). Finally, the authors would like to thank for the financial support of the Gottfried Daimler and Karl Benz Foundation through the project “Biologistics: From bio-inspired engineering of complex logistical systems until nanologistics” (25-02/07).
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