Fig. 6

Transport of APs with different velocities by periodic trains of traveling pulses. a Numerical trajectories for APs with different propulsion velocities interacting with a train of pulses for u = 1 μm/s, w = 4σ, and T = 50 s (\(v_{\mathrm{p}}^{{\mathrm{max}}}\) = 0.5 μm/s (black), \(v_{\mathrm{p}}^{{\mathrm{max}}}\) = 1.0 μm/s (blue), \(v_{\mathrm{p}}^{{\mathrm{max}}}\) = 2 μm/s (purple), \(v_{\mathrm{p}}^{{\mathrm{max}}}\) = 3 μm/s (pink), \(v_{\mathrm{p}}^{{\mathrm{max}}}\) = 5 μm/s (orange), \(v_{\mathrm{p}}^{{\mathrm{max}}}\) = 10 μm/s (yellow)). (Inset) Long-time particle trajectory (\(v_{\mathrm{p}}^{{\mathrm{max}}}\) = 3 μm/s) with the solid line corresponding to a linear fit with slope 〈V〉. b Corresponding 〈V〉 vs. \(v_{\mathrm{p}}^{{\mathrm{max}}}\)