We develop an approach where colony geometry and public good diffusion are described by graphs.
The crucial difference lies in the effect on public goods diffusion.
Additionally, some systems may follow a public goods diffusion process other than that modeled by Equation 1.
Regardless, the result does seem like a rather modest advance in our understanding of the evolutionary interplay between public goods, diffusion, cooperation, etc.
In the lab, increasing the viscosity of experimental growth medium and so retarding both cell migration and public goods diffusion prevents cheating mutants from overwhelming siderophore-producing populations of P. aeruginosa 30.
Regardless, the result does seem like a rather modest advance in our understanding of the evolutionary interplay between public goods, diffusion, cooperation, etc. 3) The authors might also want to delve more deeply into the literature on public goods to better position their results within the existing literature.
A classic public health theory, the "diffusion" theory (Roger 1995) provides a detailed illustration on how people respond to changes.
The graph structure thereby captures all features of cell arrangement that are relevant to the diffusion of public goods.
Previous theory suggests that spatial structure can promote evolution of cooperation, but the diffusion of public goods introduces new phenomena that must be modeled explicitly.
Similar trends are observed in recent works which mathematically examined diffusion of public good in homotypic cooperation (Allen et al., 2013; Borenstein et al., 2013).
