Phys. Rev. Lett. 67, 1803–1806 (1991)Entropic predictions for cellular networksReceived 28 March 1991; published in the issue dated 23 September 1991 Diverse cellular systems evolve to remarkably similar stationary states. We therefore have studied and simulated a purely topological model. We use a maximum-entropy argument to predict that the average number of l-sided cells adjacent to an n-sided cell, Ml(n), will be linear in n. One consequence is the empirically observed linearity of the total number of edges of cells adjacent to an n-sided cell, known as the Aboav-Weaire law. The prevailing justification of that law is shown to be incorrect, and thus the apparently universal experimental slope of ∼5 remains unexplained. © 1991 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.67.1803
DOI:
10.1103/PhysRevLett.67.1803
PACS:
87.10.+e
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