Evolutionary and Spatial Evolutionary Games and Radiation Induced Bystander Effect

Andrzej Swierniak and Michal Krzeslak


bystander effect, biomathematical modeling, evolutionary games, spatial evolutionary games, cancer


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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