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. 2013 Dec 31;8(12):e81936. doi: 10.1371/journal.pone.0081936

Figure 4. Mean squared displacement (MSD).

Figure 4

The curves of the normalized MSD versus dimensionless time Inline graphic correspond to E. coli's run-and-tumble with Inline graphic (red), run-reverse with Inline graphic (green), and run-reverse-flick with alternating Inline graphic and Inline graphic (blue). The analytical expressions are given in Eqs. (13) and (22), respectively. The crosses are obtained from numerical simulations and fully agree with the analytical results.