Fig. 4.

Stimulation patterns for optimal control of collective electrotaxis. In all plots, red corresponds to maximum tissue displacement (optimal solution given by Eq. (27)), and yellow corresponds to maximum terminal velocity (optimal solution given by Eq. (32)). Blue curves represent 3V/cm electric field pulse stimulation pattern used experimentally. Left: the different stimulation patterns in normalized units. Middle: corresponding velocity curves using the different stimulation patterns. Right: data from 3V/cm pulse experiment, compared to posterior distribution for optimal solution for distrance travelled and terminal velocity. Parameter values correspond to the posterior means for $\alpha$, ${\tau }_a$, ${\tau }_e$, and the pre-computed value for $\gamma$ (color figure online)