Andrzej Swierniak, Michal Krzeslak Silesian
Bystander effect, biomathematical modelling,evolutionary games, spatial evolutionary games, cellularautomata, replicator dynamics, irradiation.
We present an application of evolutionary game theory to modelling carcinogenesis processes. A studied phenomenon is a radiation induced bystander effect, which models three different strategies (phenotypes) of cells. The proposed payoff table of fitness, related to environment adaptation and genetical cell behaviour, contains costs/profits of bystander effect, choice of apoptotic pathway, producing growth factors and resistance against bystander effect. We consider also a game theory model including spatial cells allocation (the game is played on lattice). We discuss different polymorphic equilibrium points dependent on model parameters, types of spatial games and players distribution.
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