Shaw Leah B, Zia R K P, Lee Kelvin H
Department of Physics, Cornell University, Ithaca, New York 14853-2501, USA.
Phys Rev E Stat Nonlin Soft Matter Phys. 2003 Aug;68(2 Pt 1):021910. doi: 10.1103/PhysRevE.68.021910. Epub 2003 Aug 18.
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.
生物系统中的蛋白质合成过程类似于一维驱动晶格气体，其中粒子具有空间范围，占据多个晶格位置。我们将研究充分的完全不对称排斥过程（其中粒子通常占据单个晶格位置）进行扩展，以纳入扩展物体的情况。对于均匀封闭系统，可以确定精确解。我们通过两种方法分析均匀开放系统。首先，连续极限产生了一个用于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中的电流。最后，我们简要考虑了一种具有淬火无序粒子跳跃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。
