含附着和脱附的双组分TASEP分子的平均场分析
Mean-field analysis of two-species TASEP with attachment and detachment
摘要：
在细胞中，大部分的物质都是通过运动蛋白沿微管转运的。在生物病理学上，大量马达蛋白沿单一轨道的单向运动可以用完全不对称简单排除过程（TASEP）来描述。由此可以得到许多有意义的性质，如域壁（定义为运动蛋白沿运动轨迹的高密度和低密度的边界）和边界层的出现。然而，从生物学上看，很明显，一个单一的轨迹可能被不同的运动物种占据。因此，以往基于单一粒子种类的TASEP的研究不足以发现电机沿单一轨迹运动的更详细的特性。为了解决这个问题，TASEP与两个粒子物种在这项研究中进行了讨论。给出了计算各种粒子密度的理论方法。利用这些方法，得到了与相变有关的粒子密度的性质。我们的分析表明，单粒子密度的畴壁和边界层总是与总粒子密度的畴壁和边界层同时出现。总粒子密度的畴壁高度等于单个粒子密度的总和。给出了典型模型参数的相图。本研究所提出的方法可推广应用于分析具有更多粒子种类的TASEP。
英文摘要：
In cells, most of cargos are transported by motor proteins along microtubule. Biophysically, unidirectional motion of large number of motor proteins along a single track can be described by totally asymmetric simple exclusion process (TASEP). From which many meaningful properties, such as the appearance of domain wall (defined as the borderline of high density and low density of motor protein along motion track) and boundary layers, can be obtained. However, it is biologically obvious that a single track may be occupied by different motor species. So previous studies based on TASEP of one particle species are not reasonable enough to find more detailed properties of the motion of motors along a single track. To address this problem, TASEP with two particle species is discussed in this study. Theoretical methods to get densities of each particle species are provided. Using these methods, phase transition related properties of particle densities are obtained. Our analysis show that domain wall and boundary layer of single species densities always appear simultaneously with those of the total particle density. The height of domain wall of total particle density is equal to the summation of those of single species. Phase diagrams for typical model parameters are also presented. The methods presented in this study can be generalized to analyze TASEP with more particle species.
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