Figure 3

Visualization of the linear network K-function. This figure clarifies what is meant by the quantities d _ij , L _T , ℓ _T , $L_{p_i}(t)$, and ${\ell }_{p_i}(t)$ which were used to compute the linear network K-function. Here d _ij is the linear network distance shown by the gray line between points p _i and p _j . L _T (in black) is the entirety of the single dendritic network and ℓ _T is the length of L _T . Similarly, $L_{p_i}(t)$ (in blue dashed lines) is subset of the network where the distance between a point p _i and any other point is ≤ t and ${\ell }_{p_i}(t)$ is the length of $L_{p_i}(t)$. In this particular example there are 2 spines which fall within $L_{p_i}(t)$ and would be counted in determining the empirical function value $\hat{K}(t)$, however point p _j falls outside this radius and would therefore not be counted.