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. Author manuscript; available in PMC: 2017 Mar 6.
Published in final edited form as: Phys Rev Lett. 2017 Feb 16;118(7):078103. doi: 10.1103/PhysRevLett.118.078103

FIG. 1. Persistence-dependent motility.

FIG. 1

Simulated trajectories of 25 cells, departing from the origin at t = 0 with a linear velocity of 50 μm/hr. Total time is 12 hrs, cellular positions are recorded at 6-minute intervals. A black dot marks the end of each cell trajectory. (a) Cells on a soft substrate, with a low persistence time τp = 0.2 hrs. (b) stiff substrate; persistence time τp =2 hrs. (c) Gradient substrate, with persistence time increasing linearly from 0.2 to 2 over the x-range [−0.1, 0.1] mm (i.e., Δτp/Δx = 9 hrs/mm). (d) averaged x-displacement in in the gradient, for different gradient steepnesses (top to bottom: Δτp/Δx = 90 hrs/mm, 18 hrs/mm, 9 hrs/mm, 4.5 hrs/mm, 1.8 hrs/mm).