双通道非对称耦合TASEP的集体动力学及相互作用的Langmuir动力学
Collective dynamics on a two-lane asymmetrically coupled TASEP with mutually interactive Langmuir Kinetics
摘要：
基于最近对微管丝上马达蛋白簇集的实验观察，我们研究了一个开放的系统，该系统由两个完全不对称的简单排斥过程组成，在不对称耦合条件下，通过朗缪尔动力学（LangmuirKinetics）在两个泳道中与周围环境相互作用.在修正的Langmuir动力学中，吸附和脱离速率取决于最近邻位点的构型。我们在连续平均场论的框架内分析了模型，并利用边界层分析得到了相图和密度分布。讨论了相互作用对两种不同情况下的附着和分离（LK）率的相图的影响。在对称LK动力学下，相图的拓扑结构与无相互作用时相似;而在反对称情形下，当吸引/排斥相互吸引达到某一临界值后，相图的性质发生了显著变化.此外，研究表明相互作用的类型会影响马达蛋白的动力学特性。通过广泛的蒙特卡罗模拟的理论研究结果进行检查。
英文摘要：
Motivated by the recent experimental observations on clustering of motor proteins on microtubule filament, we study an open system of two parallel totally asymmetric simple exclusion processes under asymmetric coupling conditions, which incorporates the mutual interaction with the surrounding environment through Langmuir Kinetics in both the lanes. In the modified Langmuir Kinetics, the attachment and detachment rates depends on the configuration of nearest neighboring sites. We analyse the model within the framework of continuum mean-field theory and the phase diagrams along with density profiles are obtained using boundary layer analysis. The effect of mutual interactions on the phase diagram for two different situations of attachment and detachment (LK) rates is discussed. Under the symmetric LK dynamics, the topological structure of the phase diagram remains similar to the one in without mutual interaction; while for the antisymmetric case, after a certain critical value of attractive/repulsive mutual attraction, significant changes are found in the qualitative nature of phase diagram. Moreover, it is shown that the type of mutual interaction affects the dynamic properties of motor proteins. The theoretical findings are examined by extensive Monte-Carlo simulations.
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