Figure 1. Dynamics of the cooperative transport by two different kinesin motors under no external force. One corresponds to WT kinesin-1 motor having velocity v1 and rebinding rate $\mu ,$ and the other corresponds to mutant kinesin-1 motor having velocity ${v}_{1}/\alpha $ and rebinding rate $\mu .$ Lines are simulated results. Symbols are experimental data, with red circles from Rogers et al [21] and black squares from Xu et al [23]. (a) Velocity ratio v2/v1 versus $\alpha .$ The errors of the experimental data are calculated with Δ($v$2/$v$1) = $\left|\partial \left({v}_{2}/{v}_{1}\right)/\partial {v}_{1}\right|{\rm{\Delta }}{v}_{1}+\left|\partial \left({v}_{2}/{v}_{1}\right)/\partial {v}_{2}\right|{\rm{\Delta }}{v}_{2}.$ (b) Run-length ratio L2/L1 versus $\alpha .$ 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) Velocity distribution for asymmetric unbinding rate. Lines are Gaussian fits. Left, middle and right panels are the distribution for the cooperative transport by a WT kinesin motor and a mutant kinesin motor with its velocity slowed by 15-fold, the distribution for the single WT motor and the distribution for the single mutant motor, respectively. (d) Run-length distribution for asymmetric unbinding rate. Lines are single-exponential fits. Left, middle and right panels are the distribution for the cooperative transport by a WT kinesin motor and a mutant kinesin motor with its velocity slowed by 15-fold, the distribution for the single WT motor and the distribution for the single mutant motor, respectively.
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