分子马达二聚体在烧桥模型中的输运
Transport of Molecular Motor Dimers in Burnt-Bridge Models
摘要：
通过分析离散状态随机连续时间烧桥模型，对分子马达二聚体动力学进行了理论研究.在这些模型中，分子马达的运动被看作是沿着具有周期性分布的弱连接（桥）的晶格的随机行走。当粒子穿过弱连接时，它可以以概率$p$被破坏，驱动分子马达向一个方向运动。精确计算了二聚体分子马达的动力学性质和有效生成力随桥浓度$c$和燃烧概率$p$的变化关系，并与单体马达的动力学性质进行了比较.结果表明，二聚体和单体的速度之比永远不会超过2，而二聚体和单体的分散度相差不大。对于大多数参数组，二聚体的相对有效生成力（与单体相比）也不能大于2。然而，在$c=1/2$的特殊情况下，对于晶格之间的非零位移，二聚体可以产生非常大的力。我们的计算并没有显示出以前的计算研究预测的胶原酶马达蛋白在真实的生物系统中产生的力的显着增加。通过详细考虑燃烧桥附近的粒子动力学，讨论了所观察到的二聚体分子马达的行为。
英文摘要：
Dynamics of molecular motor dimers, consisting of rigidly bound particles that move along two parallel lattices and interact with underlying molecular tracks, is investigated theoretically by analyzing discrete-state stochastic continuous-time burnt-bridge models. In these models the motion of molecular motors is viewed as a random walk along the lattices with periodically distributed weak links (bridges). When the particle crosses the weak link it can be destroyed with a probability $p$, driving the molecular motor motion in one direction. Dynamic properties and effective generated forces of dimer molecular motors are calculated exactly as a function of a concentration of bridges $c$ and burning probability $p$ and compared with properties of the monomer motors. It is found that the ratio of the velocities of the dimer and the monomer can never exceed 2, while the dispersions of the dimer and the monomer are not very different. The relative effective generated force of the dimer (as compared to the monomer) also cannot be larger than 2 for most sets of parameters. However, a very large force can be produced by the dimer in the special case of $c=1/2$ for non-zero shift between the lattices. Our calculations do not show the significant increase in the force generated by collagenase motor proteins in real biological systems as predicted by previous computational studies. The observed behavior of dimer molecular motors is discussed by considering in detail the particle dynamics near burnt bridges.
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