Klumpp Stefan, Lipowsky Reinhard
Max Planck Institute of Colloids and Interfaces, Science Park Golm, 14424 Potsdam, Germany.
Proc Natl Acad Sci U S A. 2005 Nov 29;102(48):17284-9. doi: 10.1073/pnas.0507363102. Epub 2005 Nov 15.
The transport of cargo particles that are pulled by several molecular motors in a cooperative manner is studied theoretically in this article. The transport properties depend primarily on the maximal number N of motor molecules that may pull simultaneously on the cargo particle. Because each motor must unbind from the filament after a finite number of steps but can also rebind to it again, the actual number of pulling motors is not constant but varies with time between zero and N. An increase in the maximal number N leads to a strong increase of the average walking distance (or run length) of the cargo particle. If the cargo is pulled by up to N kinesin motors, for example, the walking distance is estimated to be 5(N-1)/N micrometers, which implies that seven or eight kinesin molecules are sufficient to attain an average walking distance in the centimeter range. If the cargo particle is pulled against an external load force, this force is shared between the motors, which provides a nontrivial motor-motor coupling and a generic mechanism for nonlinear force-velocity relationships. With increasing load force, the probability distribution of the instantaneous velocity is shifted toward smaller values, becomes broader, and develops several peaks. Our theory is consistent with available experimental data and makes quantitative predictions that are accessible to systematic in vitro experiments.
本文从理论上研究了由多个分子马达协同拉动的货物颗粒的运输。运输特性主要取决于可能同时拉动货物颗粒的马达分子的最大数量N。由于每个马达在有限步数后必须从细丝上脱离,但也可以再次重新结合,因此实际拉动马达的数量不是恒定的,而是在零到N之间随时间变化。最大数量N的增加会导致货物颗粒的平均行走距离(或运行长度)大幅增加。例如,如果货物由多达N个驱动蛋白马达拉动,行走距离估计为5(N - 1)/N微米,这意味着七个或八个驱动蛋白分子足以达到厘米范围内的平均行走距离。如果货物颗粒被拉向外部负载力,则该力在马达之间分配,这提供了一种重要的马达 - 马达耦合以及非线性力 - 速度关系的通用机制。随着负载力的增加,瞬时速度的概率分布向较小值移动,变得更宽,并出现几个峰值。我们的理论与现有实验数据一致,并做出了可供系统体外实验验证的定量预测。