TY - JOUR

T1 - Entropic predictions for cellular networks

AU - Peshkin, Michael A.

AU - Strandburg, Katherine J.

AU - Rivier, Nicolas

PY - 1991/1/1

Y1 - 1991/1/1

N2 - 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.

AB - 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.

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U2 - 10.1103/PhysRevLett.67.1803

DO - 10.1103/PhysRevLett.67.1803

M3 - Article

C2 - 10044251

AN - SCOPUS:12044256818

VL - 67

SP - 1803

EP - 1806

JO - Physical Review Letters

JF - Physical Review Letters

SN - 0031-9007

IS - 13

ER -