Theory of cooperation in a micro-organismal snowdrift game

Zhenyu Wang, Nigel Goldenfeld

Research output: Contribution to journalArticle

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 reproducing quantitative trends and predicting the phase diagram.

Original languageEnglish (US)
Article number020902
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume84
Issue number2
DOIs
StatePublished - Aug 26 2011

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games
Phase Diagram
phase diagrams
Game
Mean-field Model
histidine
Microorganisms
nutrients
metabolism
Glucose
Nutrients
organisms
glucose
Metabolism
Phase Transition
trends
Experimental Results
Community
Trends

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics

Cite this

Theory of cooperation in a micro-organismal snowdrift game. / Wang, Zhenyu; Goldenfeld, Nigel.

In: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, Vol. 84, No. 2, 020902, 26.08.2011.

Research output: Contribution to journalArticle

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