可逆烧桥模型中分子马达的动力学
Dynamics of Molecular Motors in Reversible Burnt-Bridge Models
摘要：
利用离散态随机“烧桥”模型，对以特定晶格键相互作用为动力的分子马达的动力学性质进行了理论研究。分子马达被描述为随机游走器，当穿过它们时，它们可以破坏或重建周期性分布的弱连接（“桥”），概率相应地为$p_1$和$p_2$。对于任意的参数值$p_1$和$p_2$，得到了精确和明确的动力学性质，如速度和色散。对于无偏随机步行者，可逆燃烧的桥梁的结果在一个有偏见的定向运动与动态过渡观察在非常小的浓度的桥梁。在向后偏置的分子马达的情况下，其向后的速度降低，并且在一定的参数范围内观察到运动方向的反转。研究还发现，色散表现出一个复杂的，非单调的行为与一些参数的大波动。通过分析烧毁桥附近分子马达的行为，讨论了系统的复杂动力学。
英文摘要：
Dynamic properties of molecular motors whose motion is powered by interactions with specific lattice bonds are studied theoretically with the help of discrete-state stochastic "burnt-bridge" models. Molecular motors are depicted as random walkers that can destroy or rebuild periodically distributed weak connections ("bridges") when crossing them, with probabilities $p_1$ and $p_2$ correspondingly. Dynamic properties, such as velocities and dispersions, are obtained in exact and explicit form for arbitrary values of parameters $p_1$ and $p_2$. For the unbiased random walker, reversible burning of the bridges results in a biased directed motion with a dynamic transition observed at very small concentrations of bridges. In the case of backward biased molecular motor its backward velocity is reduced and a reversal of the direction of motion is observed for some range of parameters. It is also found that the dispersion demonstrates a complex, non-monotonic behavior with large fluctuations for some set of parameters. Complex dynamics of the system is discussed by analyzing the behavior of the molecular motors near burned bridges.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
