Miles Christopher E, Keener James P
University of Utah, Department of Mathematics, 155 S 1400 E, room 233, Salt Lake City, UT 84112-0090, United States.
University of Utah, Department of Mathematics, 155 S 1400 E, room 233, Salt Lake City, UT 84112-0090, United States.
J Theor Biol. 2017 Jul 7;424:37-48. doi: 10.1016/j.jtbi.2017.04.032. Epub 2017 May 1.
Molecular motor proteins serve as an essential component of intracellular transport by generating forces to haul cargoes along cytoskeletal filaments. Two species of motors that are directed oppositely (e.g. kinesin, dynein) can be attached to the same cargo, which is known to produce bidirectional net motion. Although previous work focuses on the motor number as the driving noise source for switching, we propose an alternative mechanism: cargo diffusion. A mean-field mathematical model of mechanical interactions of two populations of molecular motors with cargo thermal fluctuations (diffusion) is presented to study this phenomenon. The delayed response of a motor to fluctuations in the cargo velocity is quantified, allowing for the reduction of the full model a single "characteristic distance", a proxy for the net force on the cargo. The system is then found to be metastable, with switching exclusively due to cargo diffusion between distinct directional transport states. The time to switch between these states is then investigated using a mean first passage time analysis. The switching time is found to be non-monotonic in the drag of the cargo, providing an experimental test of the theory.
分子运动蛋白通过产生力沿细胞骨架细丝拖运货物,是细胞内运输的重要组成部分。两种方向相反的运动蛋白(如驱动蛋白、动力蛋白)可附着于同一货物上,已知这会产生双向净运动。尽管先前的研究将运动蛋白数量视为切换的驱动噪声源,但我们提出了一种替代机制:货物扩散。提出了一个分子运动蛋白群体与货物热涨落(扩散)的机械相互作用的平均场数学模型来研究这一现象。量化了运动蛋白对货物速度涨落的延迟响应,从而可将完整模型简化为一个单一的“特征距离”,作为作用于货物上净力的代理。然后发现该系统是亚稳的,切换完全是由于货物在不同方向运输状态之间的扩散。接着使用平均首次通过时间分析来研究这些状态之间的切换时间。发现切换时间在货物阻力方面是非单调的,为该理论提供了实验检验。