Local inhomogeneity in two-lane asymmetric simple exclusion processes coupled with Langmuir kinetics

Local inhomogeneity in two-lane asymmetric simple exclusion processes coupled with Langmuir kinetics
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与 Langmuir 动力学相结合的双车道不对称简单排除过程中的局部不均匀性

DOI:
10.1016/j.physa.2007.09.042
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发表时间:
2008-01
影响因子:
3.3
通讯作者:
Liu, Ming-Zhe
Liu, Ming-Zhe
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
Wang, Rui-Li;Jiang, Rui;Liu, Ming-Zhe

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研究了耦合Langmuir动力学的双通道非对称简单排斥过程中的局部不均匀性效应。该模型与一些生物过程有关,例如分子马达在平行均匀和不均匀细丝上的运动,而不限制它们在这些原丝之间跳跃以及随机马达(例如, 驱动蛋白)附着于细丝并从细丝上分离。假设局部不均匀性位于两个通道中的一个。本文重点研究了这种不均匀性对相邻车道的影响。密度和车道间电流进行了研究。研究发现,当跳跃率(p)值较小时,由于粒子改变通道,可以在两个通道上观察到局部不均匀性效应。当p和/或换道率(Ω)增大时,这种影响减弱。计算了两条通道的平均密度和平均电流,发现当p、ΩA(附着率)和ΩD(脱离率)较小时,平均密度分布随Ω的增大呈现复杂的变化规律.提出了平均场近似,它与我们的Monte Carlo模拟吻合得很好。
The effects of local inhomogeneity in a two-lane asymmetric simple exclusion process coupled with Langmuir kinetics are studied. The model is related to some biological processes such as the movement of molecular motors on parallel homogeneous and inhomogeneous filaments without restrictions for them to jump between these protofilaments as well as random motors (e.g., kinesin) attachments to and detachments from filaments. The local inhomogeneity is assumed to be located at one of the two lanes. The effects of such inhomogeneity on its neighboring lane are focused in this paper. Density and inter-lane current are investigated. It is found that when the value of the hopping rate (p) is small, the local inhomogeneity effect can be observed on both lanes due to particles changing lanes. The effect is weakened when either p and/or lane-changing rate (Ω) increases. Average density and average current of the two lanes are also calculated, and it is found that the average density profile exhibits a complex variation behavior with the increase of Ω when p, ΩA(attachment rate) and ΩD(detachment rate) are small. Mean-field approximation is presented and it agrees well with our Monte Carlo simulations.
DOI: 10.1088/0305-4470/36/8/302
发表时间: 2003-02-28
期刊: JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
影响因子: --
作者:
Lakatos, G;Chou, T
通讯作者: Chou, T
DOI: 10.1007/978-1-4939-8556-2
发表时间: 2018
影响因子: 4
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Rob Phillips
通讯作者: Rob Phillips
DOI: 10.1016/j.physa.2006.05.006
发表时间: 2006-02
影响因子: 3.3
作者:
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通讯作者: E. Pronina;A. Kolomeisky
DOI: 10.1142/s0129183107011479
发表时间: 2007-03
影响因子: 1.9
作者:
Ruili Wang;R. Jiang;Mingzhe Liu;Jiming Liu;Qing-Song Wu
通讯作者: Ruili Wang;R. Jiang;Mingzhe Liu;Jiming Liu;Qing-Song Wu