Figure 1.

Illustration of one single brain-wide neuron digital reconstruction. (a) shows an example of neuronal digital reconstruction; data is from²⁵. (b) shows the corresponding Dendrogram of the neuron shown in (a) based on its the topological branching structure. The axon part is colored in gray while dendrite part colored in black in both panels (a) and (b). (c) shows the dendrogram based on one dendrite. The number of nodes j_k and branching frequency p_k at each order k is illustrated in this example. k_max and j_max are the maximum values of k’s and j’s and are referred as tree length and width respectively. In this example, the maximal order equals to 10 (i.e, k_max = 10) and maximal number of nodes at different orders is 7 which appears at order k = 5 (i.e., $j_{\max }:={\max }_k\{j_k\}=7$). Note that the total number of nodes at order k equals to $2j_{k-1}$.