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Title of Journal: Bull Math Biol

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Abbravation: Bulletin of Mathematical Biology

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Springer-Verlag

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DOI

10.1007/bf00975472

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1522-9602

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Game Dynamic Model for Yeast Development

Authors: Yuanyuan Huang Zhijun Wu
Publish Date: 2012/03/21
Volume: 74, Issue: 7, Pages: 1469-1484
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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 456253–256 2009 in their recent study on the codevelopment 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 stableWe would like to thank Prof Jeff Gore for kindly giving us the Matlab code for generating some of the graphical results in their paper and for providing helpful suggestions and advices for how to proceed in our computation This work is partially supported by the NIH/ /NIGMS grants R01GM072014 and R01GM081680 and by the NSF/ /DMS grant DMS0914354


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  1. Parametric Resonance in DNA
  2. Effects of Intrinsic and Extrinsic Noise Can Accelerate Juxtacrine Pattern Formation
  3. A Mathematical Model of the Human Metabolic System and Metabolic Flexibility
  4. A New Method for Calculating Net Reproductive Rate from Graph Reduction with Applications to the Control of Invasive Species
  5. The Common Ancestor Process Revisited
  6. Identifying Environmental Determinants of Diurnal Distribution in Marine Birds and Mammals
  7. Diffusion of Finite-Size Particles in Confined Geometries
  8. A Geometric Comparison of Single Chain Multi-State Models of Ion Channel Gating
  9. Model of Prey–Predator Dynamics with Reflexive Spatial Behaviour of Species Based on Optimal Migration
  10. On the Probability of Random Genetic Mutations for Various Types of Tumor Growth
  11. Game Dynamics with Learning and Evolution of Universal Grammar
  12. An Evolutionary Reduction Principle for Mutation Rates at Multiple Loci
  13. Piecewise Linear and Boolean Models of Chemical Reaction Networks
  14. Phenologically-Structured Predator-Prey Dynamics with Temperature Dependence
  15. The Impact of Hepatitis A Virus Infection on Hepatitis C Virus Infection: A Competitive Exclusion Hypothesis
  16. Dynamics Analysis of a Multi-strain Cholera Model with an Imperfect Vaccine
  17. Neural Population Modes Capture Biologically Realistic Large Scale Network Dynamics
  18. The Tumor Growth Paradox and Immune System-Mediated Selection for Cancer Stem Cells
  19. Selecting Radiotherapy Dose Distributions by Means of Constrained Optimization Problems
  20. The Dynamics of Growing Islets and Transmission of Schistosomiasis Japonica in the Yangtze River
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  22. Modeling Effect of a γ -Secretase Inhibitor on Amyloid- β Dynamics Reveals Significant Role of an Amyloid Clearance Mechanism
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  25. Global Properties of SIR and SEIR Epidemic Models with Multiple Parallel Infectious Stages

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