Public good diffusion limits microbial mutualism
arXiv:1412.7187 · doi:10.1103/PhysRevLett.114.168102
Abstract
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.
12 pages, 4 figures
References in corpus (7)
- Nonequilibrium Critical Phenomena and Phase Transitions into Absorbing States
- Genetic Demixing and Evolutionary Forces in the One-Dimensional Stepping Stone Model
- Genetic drift opposes mutualism during spatial population expansion
- Fisher waves in the strong noise limit
- A Quantitative Test of Population Genetics Using Spatio-Genetic Patterns in Bacterial Colonies
- Competition and cooperation in one-dimensional stepping stone models
- Nutrient Shielding in Clusters of Cells
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