TY - JOUR
T1 - Entropic predictions for cellular networks
AU - Peshkin, Michael A.
AU - Strandburg, Katherine J.
AU - Rivier, Nicolas
PY - 1991
Y1 - 1991
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
SN - 0031-9007
VL - 67
SP - 1803
EP - 1806
JO - Physical review letters
JF - Physical review letters
IS - 13
ER -