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Tytuł artykułu

Spatial evolutionary games and radiation induced bystander effect

Treść / Zawartość
Identyfikatory
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
We present an application of evolutionary game theory to modeling of some processes important from oncological point of view. A studied phenomenon is a radiation induced bystander effect, in which three different strategies (phenotypes) of cells take part. The proposed payoff table of fitness, related to environment adaptation and genetic cell behavior, contains costs/profits of bystander effect, choice of apoptotic pathway, producing growth factors and resistance against bystander effect. We consider a game theory model including spatial cells allocation (the game is played on lattice). We discuss also different polymorphic equilibrium points dependent on model parameters, types of spatial games and players distribution.
Rocznik
Strony
135--150
Opis fizyczny
Bibliogr. 21 poz., rys., tab.
Twórcy
autor
  • Department of Automatic Control, Silesian University of Technology, Gliwice, Poland
Bibliografia
  • [1] J. Maynard Smith and G. R. Price: The logie of animal conflict. Nature, 246 (1973), 15-18.
  • [2] J. Maynard Smith: Evplution and the theory of games. Cambridge UnWersity Press, 1982.
  • [3] M. Mesterton-GibbonS: An introduction to game theoretic modeling. AMS (second edition), 2001.
  • [4] J. Haigh: Game theory and evolution. Advances in appliedprobability, 7 (1975), 9-12.
  • [5] R. J. Aumann and M.B. Maschler: Repeated games with incomplete information. MIT Press, Cambridge, 1995.
  • [6] I. P. M. Tomlinson: Game-theory models of interactions between tumor cells. European J. ofCancer, 33 (1997), 1495-1500.
  • [7] I. P .M. Tomlinson and W.F. Bodmer: Modeling the consequences of interac-tions between tumor cells. British J. ofCancer, 75 (1997), 157-160.
  • [8] L. A. Bach, S. M. Bentzen. J. Alsdner and F.B. Christensen: An evolutionary-game model of tumor celi inieractions: possible relevance to gene therapy. European J. of Cancer, 37 (2001), 2116-2120.
  • [9] D. BASANTA, M. Simon, H. HATZIKIROU and A. Deutsch: Evolutionary game theory elucidates the role of glycolysis in glioma. Celi Proliferathn, 41 (2008), 980-987.
  • [10] Y. Mansury, M. DIGGORY and T. S. DEISBOECK: Evolutionary game theory in an agent-based brain tumor model: exploring the genotype-phenotype link. J. of Theoretical Biology, 238 (2006), 146-156.
  • [11] P. D. Taylor and L. B. Jonker: Evolutionarily stable strategies and game dynamics. Mathematical Biosciences, 40 (1978), 145-156.
  • [12] J. Hofbauer and K. Sigmund: Evolutionary game dynamics. Bulletin (New Series) of the American Mathematical Society, 40(4), (2003), 479-519.
  • [13| A. Świerniak and M. Krześlak: Game theoretic approach to mathematical modeling of radiation induced bystander effect. Proc. ofthe 16 Nat. Conf. on Applications of Mathematics in Biology and Medicine, (2010), 99-104.
  • [14] L. A. BACH, D. J. T. Sumpter, J. ALSNER and V. LOESCHCKE: Spatial evolutionary games of interaction among generic cancer cells. J. of Theoretical Medicine, (2003), 1-12.
  • [15] D. BASANTA, H. Hatzikirou and A. Deutsch: Studying the emergence of invasiveness in tumors using game theory. Physical J. B, 63 (2008), 393-397.
  • [16] M. A. Nowak and R. M. May: Evolutionary games and spatial chaos. Nature, 359 (1992), 826-829.
  • [17] J. Von Neumann: Theory of self reproducing automata. University of Illinois Press, 1966.
  • [18] J. Rzeszowska-Wolny, W. M. Przybyszewski and M. Widel: Ionizing radiation-induced bystander effects, potential targets for modulation of radiotherapy. European J. of Pharmacology, 625 (2009), 98-107.
  • [19] C. Mothersill and C. Seymour: Radiation-induced bystander effects: pasthistory and futurę directions. Radiation Research, 155 (2001), 759-767.
  • [20] R. IYER and B. E. Lehnert: Low dose, low-LET ionizing radiation-induced radioadaptation and associated early responses in unirradiated cells. Mutation Research, 503 (2002), 1-9.
  • [21] D. T. BISHOP and C. CANNINGS: Models of animal conflict. Advances in Applied Pwbability, 8 (1976), 616-621.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BSW3-0081-0008
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