Mathematical Biosciences and Engineering, 2013, 10(3): 873-911. doi: 10.3934/mbe.2013.10.873.

Primary: 91A22, 92B05; Secondary: 91A80.

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Application of evolutionary games to modeling carcinogenesis

1. Department of Automatic Control, Silesian University of Technology, 44-101 Gliwice

We review a quite large volume of literature concerning mathematical modelling of processes related to carcinogenesis and the growth of cancer cell populations based on the theory of evolutionary games. This review, although partly idiosyncratic, covers such major areas of cancer-related phenomena as production of cytotoxins, avoidance of apoptosis, production of growth factors, motility and invasion, and intra- and extracellular signaling. We discuss the results of other authors and append to them some additional results of our own simulations dealing with the possible dynamics and/or spatial distribution of the processes discussed.
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Keywords biomathematical modeling; tumorigenesis; cellular automata; Evolutionary games; polymorphism.

Citation: Andrzej Swierniak, Michal Krzeslak. Application of evolutionary games to modeling carcinogenesis. Mathematical Biosciences and Engineering, 2013, 10(3): 873-911. doi: 10.3934/mbe.2013.10.873

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