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Theory of cooperation in a micro-organismal snow-drift game

We present a mean field model for the phase diagram of a community of micro-organisms, interacting through their metabolism so that they are, in effect, engaging in a cooperative social game. We show that as a function of the concentration of the nutrients glucose and histidine, the community undergoes a phase transition separating a state in which one strain is dominant to a state which is characterized by coexisting populations. Our results are in good agreement with recent experimental results, correctly predicting quantitative trends and the phase diagram.

preprint2011arXivOpen access
Zhenyu WangNigel Goldenfeld
Cell BehaviorBiological PhysicsPopulations and Evolution
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Zhenyu WangNigel Goldenfeld

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