Figure 3.

Scaling of the optimal inflow rate for uniform supply of a two-dimensional rectangular tissue section with system parameters. The optimal inflow rate defined as lowest overall variance in absorption scales linearly with the absorption parameter γ (a), the total network length L (b) and the tube radius R (c). While one parameter was varied, the other parameters were kept constant. Error bars represent the standard deviation over 15 independent runs. Data are in agreement with the scaling law (red line) of the optimal inflow rate derived for a one-dimensional toy model and adapted to two-dimensions by a geometrical factor.