Figure 6. Dynamics of the cooperative transport by N (N > 1) identical kinesin motors under no external force. The motor has velocity v1 and rebinding rate $\mu .$ Lines are simulated results. Symbols are experimental data from Derr et al [20]. (a) Velocity ratio v2/v1 versus N. The errors of the experimental data are calculated with ${\rm{\Delta }}\left({v}_{2}/{v}_{1}\right)=\left|\partial \left({v}_{2}/{v}_{1}\right)/\partial {v}_{1}\right|{\rm{\Delta }}{v}_{1}+\left|\partial \left({v}_{2}/{v}_{1}\right)/\partial {v}_{2}\right|{\rm{\Delta }}{v}_{2}.$ (b) Run-length ratio L2/L1 versus N. The errors of the experimental data are calculated with ${\rm{\Delta }}\left({L}_{2}/{L}_{1}\right)=\left|\partial \left({L}_{2}/{L}_{1}\right)/\partial {L}_{1}\right|{\rm{\Delta }}{L}_{1}+\left|\partial \left({L}_{2}/{L}_{1}\right)/\partial {L}_{2}\right|{\rm{\Delta }}{L}_{2}.$ (c) Simulated results of velocity distribution for asymmetric unbinding rate. Lines are Gaussian fits. Left and middle panels correspond to N = 4 and 7, respectively, and right panel shows the half width of the Gaussian velocity distribution versus N. (d) Simulated results of run-length distribution for asymmetric unbinding rate. Lines are single-exponential fits. Left, middle and right panels correspond to N = 4, 5 and 7, respectively.
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