Fig. 2. Trajectory lengths and travel times are broadly distributed at network scale.

a 3D view of typical particle trajectories (see also Supplementary Movie S4) with growing numbers of visited vessels (Red: L = 20; Yellow: L = 30; Orange: L = 40; Green: L = 50; Cyan: L = 60; Blue: L = 70; Violet: L = 80). b Probability Density Function (PDF) of trajectory lengths. Inset: Local vessel transit times ${\overline{t}}^L$ averaged over all trajectories of same length L as a function of the number n of vessels visited since the inlet arteriole, normalized by L. Results for different trajectory lengths are shown with the same color conventions as in a). c PDF of travel times through the network for purely advective (black dots), oxygen (green dots), and amyloid-β (red dots) transport. Inset: Average travel time ${\overline{\mathcal{T}}}^L$ as a function of trajectory length L (see also Supplementary Note 4 and Supplementary Figure S4a, b). The linear and power-law tendencies (Eq. (5)) are shown respectively as dashed and dotted blue lines. Note that the linear tendency does not appear as a straight line in logarithmic coordinates because of the constant ${\mathcal{T}}_0$ in Eq. (5) (See Supplementary Note 4).