Comparing two classes of biological distribution systems using network analysis
Fig 5
Rentian scaling analysis of the distribution networks.
(A,B) Examples of log m vs. log n computed from a topological partitioning of a network from the mycelium P.V. 1 and from a topological partitioning of an arterial network from a rat brain, respectively. (C,D) Examples of log m vs. log n computed from a physical partitioning of a network from the mycelium P.V. 1 and from a physical partitioning of an arterial network from a rat brain, respectively. In panels (A–D) the black lines correspond to a simple linear regression, from which we estimate the displayed scaling exponents t or p, describing either the topological or physical Rentian scaling relationships, respectively. The r-value is the Pearson correlation coefficient and the r2-value is the coefficient of determination. Additional examples of these relationships for other networks are shown in Fig. F and Fig. H in the S1 Text.