Application of evolutionary games to modeling carcinogenesis

  • Received: 01 June 2012 Accepted: 29 June 2018 Published: 01 April 2013
  • MSC : Primary: 91A22, 92B05; Secondary: 91A80.

  • 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.

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

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  • 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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    © 2013 the Author(s), licensee AIMS Press. This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)
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