Theory of cooperation in a micro-organismal snow-drift game
Biological Physics
2015-05-20 v3 Cell Behavior
Populations and Evolution
Abstract
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.
Cite
@article{arxiv.1011.0510,
title = {Theory of cooperation in a micro-organismal snow-drift game},
author = {Zhenyu Wang and Nigel Goldenfeld},
journal= {arXiv preprint arXiv:1011.0510},
year = {2015}
}
Comments
4 pages, 2 figures