Evolutionary Games with Affine Fitness Functions: Applications to Cancer

@article{Gerstung2011EvolutionaryGW,
  title={Evolutionary Games with Affine Fitness Functions: Applications to Cancer},
  author={Moritz Gerstung and Hani Nakhoul and Niko Beerenwinkel},
  journal={Dynamic Games and Applications},
  year={2011},
  volume={1},
  pages={370-385}
}
We analyze the dynamics of evolutionary games in which fitness is defined as an affine function of the expected payoff and a constant contribution. The resulting inhomogeneous replicator equation has an homogeneous equivalent with modified payoffs. The affine terms also influence the stochastic dynamics of a two-strategy Moran model of a finite population. We then apply the affine fitness function in a model for tumor–normal cell interactions to determine which are the most successful tumor… Expand

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