摘要翻译：
通过分析离散状态随机连续时间燃烧桥模型，从理论上研究了由沿两个平行晶格运动的刚性束缚粒子组成的分子马达二聚体与底层分子轨道相互作用的动力学。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薄弱环节（桥）的晶格的随机游动。当粒子穿过薄弱环节时，它可以以$P$的概率被摧毁，驱动分子马达向一个方向运动。计算了二聚体分子马达的动态特性和有效作用力与桥的浓度C$和燃烧概率P$的关系，并与单体马达的特性进行了比较。发现二聚体和单体的速度之比永远不能超过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，对于晶格间的非零位移，在$C=1/2$的特殊情况下，二聚体可以产生很大的作用力。我们的计算并没有像以前的计算研究预测的那样，在真实的生物系统中胶原酶运动蛋白产生的力的显著增加。通过详细考虑燃烧桥附近的粒子动力学，讨论了观察到的二聚体分子马达的行为。
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英文标题：
《Transport of Molecular Motor Dimers in Burnt-Bridge Models》
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作者：
Alexander Yu. Morozov and Anatoly B. Kolomeisky
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最新提交年份：
2007
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分类信息：

一级分类：Physics        物理学
二级分类：Statistical Mechanics        统计力学
分类描述：Phase transitions, thermodynamics, field theory, non-equilibrium phenomena, renormalization group and scaling, integrable models, turbulence
相变，热力学，场论，非平衡现象，重整化群和标度，可积模型，湍流
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一级分类：Physics        物理学
二级分类：Soft Condensed Matter        软凝聚态物质
分类描述：Membranes, polymers, liquid crystals, glasses, colloids, granular matter
膜，聚合物，液晶，玻璃，胶体，颗粒物质
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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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PDF链接：
https://arxiv.org/pdf/709.3529