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Fig. 7 | Applied Network Science

Fig. 7

From: Critical behavior of spatial networks as a model of paracrine signaling in tumorigenesis

Fig. 7

A series of plots for increasing size networks, demonstrating the Critical Behavior of Networks as rc varies. On the left hand side we present the degree of the highest connectivity node as a fraction of all links in the network on a logarithmic scale. As the distance factor increases after a period of stability this collapses from 0.8 indicating that on average nodes are interconnected between node populations. On the right hand side we plot absolute chemical potential μ, again on a logarithmic scale. As rc approaches the separation between the population loci δs=70 there is a clear discontinuity in the chemical potential, an essential characteristic of a phase transition. a kmax as a fraction of all edges, arrested at t=200. b Chemical Potential μ, arrested at t=200. c kmax as a fraction of all edges, arrested at t=500. d Chemical Potential μ, arrested at t=500. e kmax as a fraction of all edges, arrested at t=1000. f Chemical Potential μ, arrested at t=1000

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