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Bull Math Biol. 2012 Jul;74(7):1469-84. doi: 10.1007/s11538-012-9721-5. Epub 2012 Mar 21.

Game dynamic model for yeast development.

Author information

1
Department of Mathematics, Program on Bioinformatics and Computational Biology, Iowa State University, Ames, IA 50011, USA. sunnyuan@iastate.edu

Abstract

Game theoretic models, along with replicator equations, have been applied successfully to the study of evolution of populations of competing species, including the growth of a population, the reaching of the population to an equilibrium state, and the evolutionary stability of the state. In this paper, we analyze a game model proposed by Gore et al. (Nature 456:253-256, 2009) in their recent study on the co-development of two mixed yeast strains. We examine the mathematical properties of this model with varying experimental parameters. We simulate the growths of the yeast strains and compare them with the experimental results. We also compute and analyze the equilibrium state of the system and prove that it is asymptotically and evolutionarily stable.

PMID:
22434448
PMCID:
PMC3690556
DOI:
10.1007/s11538-012-9721-5
[Indexed for MEDLINE]
Free PMC Article

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