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. 2010 Nov 16;5(11):e13914. doi: 10.1371/journal.pone.0013914

Figure 2. Trajectory correlations.

Figure 2

(a) Mean–square displacement as a function of time along the trajectory [Eq (1)]. At short times we see ballistic (Inline graphic) behavior, crossing over to diffusion [Inline graphic] at long times. (b) The orientation angle correlation function [Eq (2)] for worm motion (red), contrasted with a simple “run and tumble” model (blue) in which reorientation events occur randomly with rate Inline graphic, corresponding to the rate of reorientation events [14], [21].