Effects of Langmuir Kinetics of Two-Lane Totally Asymmetric Exclusion Processes in Protein Traffic
Effects of Langmuir Kinetics of Two-Lane Totally Asymmetric Exclusion Processes in Protein Traffic
复制标题
DOI：
10.1142/s0129183107011479
复制
发表时间：
2007-03
影响因子：
1.9
通讯作者：
Ruili Wang;R. Jiang;Mingzhe Liu;Jiming Liu;Qing-Song Wu
中科院分区：
文献类型：
--
作者：
Ruili Wang;R. Jiang;Mingzhe Liu;Jiming Liu;Qing-Song Wu
本文研究了开放边界条件下双通道完全非对称简单排斥过程(TASEP)中粒子的随机附着和脱离(Langmuir动力学)。我们的模型可以描述分子马达的定向运动，马达的附着和脱离，以及马达在细丝之间的自由车道间过渡。在这篇文章中，我们关注系统的一些有限尺寸效应，因为大多数实际系统的尺寸通常是有限的和小的(例如，尺寸≤10000)。观察到了双车道系统的一种特殊的有限尺寸效应，即密度墙随着换道速度的增加先左移后右移。我们称之为跳跃效应。我们发现，随着附着和脱离速率的增加，跳跃效应会减弱。我们还证实，当双车道系统的尺寸足够大时，跳跃效应消失，并且双车道系统具有与单车道TASEP耦合的朗缪尔动力学相似的密度分布。在密度达到最大值后，增加换道速度对密度分布影响不大。此外，在较大的附着/脱离速率和/或较大的系统尺寸下，换道速度对双车道TASEP与朗缪尔动力学耦合的密度分布没有影响。给出了平均场近似，它与我们的蒙特卡罗模拟是一致的。
In this paper, we study a two-lane totally asymmetric simple exclusion process (TASEP) coupled with random attachment and detachment of particles (Langmuir kinetics) in both lanes under open boundary conditions. Our model can describe the directed motion of molecular motors, attachment and detachment of motors, and free inter-lane transition of motors between filaments. In this paper, we focus on some finite-size effects of the system because normally the sizes of most real systems are finite and small (e.g., size ≤ 10 000). A special finite-size effect of the two-lane system has been observed, which is that the density wall moves left first and then move towards the right with the increase of the lane-changing rate. We called it the jumping effect. We find that increasing attachment and detachment rates will weaken the jumping effect. We also confirmed that when the size of the two-lane system is large enough, the jumping effect disappears, and the two-lane system has a similar density profile to a single-lane TASEP coupled with Langmuir kinetics. Increasing lane-changing rates has little effect on density profiles after the density reaches maximum. Also, lane-changing rate has no effect on density profiles of a two-lane TASEP coupled with Langmuir kinetics at a large attachment/detachment rate and/or a large system size. Mean-field approximation is presented and it agrees with our Monte Carlo simulations.