Histograms showing the distribution frequency of positions within the simulation arena for time-series data of figure 2. Each bin represents a 20 μm slice through the arena. Bacterial genotypes and gradient conditions for each simulation are given in table 1. (a) X33-1, (b) X31-5, (c) X36-1, (d) X30-5, (e) X36-2, (f) X33-7, (g) X33-5, (h) X33-3, (i) X32-1, (j) X32-3 and (k) X36-3.