Totally asymmetric exclusion process with extended objects: A model for protein synthesis
Totally asymmetric exclusion process with extended objects: A model for protein synthesis
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DOI：
10.1103/physreve.68.021910
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发表时间：
2003-08-01
影响因子：
2.4
通讯作者：
Lee, KH
中科院分区：
文献类型：
--
作者：
Shaw, LB;Zia, RKP;Lee, KH
生物系统中的蛋白质合成过程类似于一维驱动的晶格气体，其中粒子具有空间范围，覆盖多个晶格位点。我们扩展了研究得很好的完全不对称排斥过程，其中粒子通常覆盖单个晶格点，以包括具有扩展对象的情况。均匀封闭系统的精确解可以确定。我们通过两种方法来分析统一开放系统。首先，连续体极限产生了粒子密度分布的修正扩散方程。其次，基于畴壁理论的极值原理准确地预测了相图和各相电流。最后，我们简要地考虑了具有猝灭无序粒子跳变速率的非均匀开放系统的近似方法，并将这些方法与蒙特卡罗模拟进行了比较。
The process of protein synthesis in biological systems resembles a one dimensional driven lattice gas in which the particles have spatial extent, covering more than one lattice site. We expand the well studied totally asymmetric exclusion process, in which particles typically cover a single lattice site, to include cases with extended objects. Exact solutions can be determined for a uniform closed system. We analyze the uniform open system through two approaches. First, a continuum limit produces a modified diffusion equation for particle density profiles. Second, an extremal principle based on domain wall theory accurately predicts the phase diagram and currents in each phase. Finally, we briefly consider approximate approaches to a nonuniform open system with quenched disorder in the particle hopping rates and compare these approaches with Monte Carlo simulations.