Public good diffusion limits microbial mutualism

Standard game theory cannot describe microbial interactions mediated by diffusible molecules. Nevertheless, we show that one can still model microbial dynamics using game theory with parameters renormalized by diffusion. Contrary to expectations, greater sharing of metabolites reduces the strength of cooperation and leads to species extinction via a nonequilibrium phase transition. We report analytic results for the critical diffusivity and the length scale of species intermixing. We also show that fitness nonlinearities suppress mutualism and favor the species producing slower nutrients. PACS numbers: 87.23.Cc, 87.23.Kg, 87.15.Zg, 64.60.ah

• Publication year

  2014

• Venue

  bioRxiv

• Publication date

  2014-12-22

• Fields of study

  Biology, Medicine, Physics, Environmental Science

• Identifiers
  DOI 10.1103/PhysRevLett.114.168102arXiv 1412.7187PMID 25955075
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar, PubMed

• No claims are published for this paper.

• No concepts are published for this paper.

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  2013influential reference
• Spatial dilemmas of diffusible public goods

  2013cited by this paper
• Nutrient shielding in clusters of cells.

  2013cited by this paper
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  1964cited by this paper
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  1960cited by this paper
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