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@article{bomze1983lotka,
title={Lotka-Volterra equation and replicator dynamics: a two-dimensional classification},
author={Bomze, Immanuel M},
journal={Biological cybernetics},
volume={48},
number={3},
pages={201--211},
year={1983},
publisher={Springer}
}
@article{basanta2012investigating,
title={Investigating prostate cancer tumour--stroma interactions: clinical and biological insights from an evolutionary game},
author={Basanta, David and Scott, Jacob G and Fishman, Mayer N and Ayala, Gustavo and Hayward, Simon W and Anderson, Alexander RA},
journal={British journal of cancer},
volume={106},
number={1},
pages={174--181},
year={2012},
publisher={Nature Publishing Group}
}
@article{smith1973logic,
title={The logic of animal conflict},
author={Smith, J Maynard and Price, George R},
journal={Nature},
volume={246},
number={5427},
pages={15},
year={1973},
publisher={Nature Publishing Group}
}
@article{javarone2016modeling,
title={Modeling Poker Challenges by Evolutionary Game Theory},
author={Javarone, Marco Alberto},
journal={Games},
volume={7},
number={4},
pages={39},
year={2016},
publisher={Multidisciplinary Digital Publishing Institute}
}
@article{schenk2017chaotic,
title={Chaotic provinces in the kingdom of the Red Queen},
author={Schenk, Hanna and Traulsen, Arne and Gokhale, Chaitanya S},
journal={Journal of theoretical biology},
volume={431},
pages={1--10},
year={2017},
publisher={Elsevier}
}
@article{taylor1978evolutionary,
title={Evolutionary stable strategies and game dynamics},
author={Taylor, Peter D and Jonker, Leo B},
journal={Mathematical biosciences},
volume={40},
number={1-2},
pages={145--156},
year={1978},
publisher={Elsevier}
}
@article{hindmarsh2002serial,
title={Serial Fortran solvers for ODE initial value problems},
author={Hindmarsh, Alan C},
journal={URL: http://www. llnl. gov/CASC/odepack [cited October 18, 2005]},
year={2002}
}
@article{kaznatcheev2017cancer,
title={Cancer treatment scheduling and dynamic heterogeneity in social dilemmas of tumour acidity and vasculature},
author={Kaznatcheev, Artem and Vander Velde, Robert and Scott, Jacob G and Basanta, David},
journal={British journal of cancer},
volume={116},
number={6},
pages={785},
year={2017},
publisher={Nature Publishing Group}
}
@article{kaznatcheev2015edge,
title={Edge effects in game-theoretic dynamics of spatially structured tumours},
author={Kaznatcheev, Artem and Scott, Jacob G and Basanta, David},
journal={Journal of The Royal Society Interface},
volume={12},
number={108},
pages={20150154},
year={2015},
publisher={The Royal Society}
}
@article {Kaznatcheev179259,
author = {Kaznatcheev, Artem and Peacock, Jeffrey and Basanta, David and Marusyk, Andriy and Scott, Jacob G.},
title = {Fibroblasts and alectinib switch the evolutionary games that non-small cell lung cancer plays},
year = {2017},
doi = {10.1101/179259},
publisher = {Cold Spring Harbor Laboratory},
abstract = {Heterogeneity in strategies for survival and propagation among the cells that constitute a tumour is a driving force behind the evolution of resistance to cancer treatment. The rules mapping the tumour{\textquoteright}s strategy distribution to the fitness of individual strategies can be represented as an evolutionary game. We develop a game assay to measure this property in co-culures of alectinib-sensitive and alectinib-resistant non-small cell lung cancer. The games are not only quantitatively different between different environments, but targeted therapy and cancer associated fibroblasts qualitatively switch the type of game being played from Leader to Deadlock. This provides the first empirical confirmation of a central theoretical postulate of evolutionary game theory in oncology: we can treat not just the player, but also the game. Although we concentrate on measuring games played by cancer cells, the measurement methodology we develop can be used to advance the study of games in other microscopic systems.},
URL = {https://www.biorxiv.org/content/early/2017/09/20/179259},
eprint = {https://www.biorxiv.org/content/early/2017/09/20/179259.full.pdf},
journal = {bioRxiv}
}