一个具有相互转化、切屑和注入的多种群模型
A multi-species model with interconversion, chipping and injection
摘要：
出于通过高尔基体的细胞的现象学的运输，我们研究了一个多物种模型与边界注入的一个物种的粒子，不同物种的粒子之间的相互转换，并驱动扩散运动的粒子通过系统的一个单一的粒子从一个网站的芯片。该模型进行了分析，在一维粒子电流方程。据发现，取决于各种过程的速率和跳跃中的不对称性，系统可能存在于稳定阶段，其中每个站点的平均质量达到与时间无关的值，或在“增长”阶段，其中总质量在时间上无限增长，即使在有限的系统中。生长阶段具有有趣的空间结构。特别是，我们发现的阶段中，系统的一些空间区域有一个恒定的平均质量，而其他地区显示出无限的增长。
英文摘要：
Motivated by the phenomenology of transport through the Golgi apparatus of cells, we study a multi-species model with boundary injection of one species of particle, interconversion between the different species of particle, and driven diffusive movement of particles through the system by chipping of a single particle from a site. The model is analysed in one dimension using equations for particle currents. It is found that, depending on the rates of various processes and the asymmetry in the hopping, the system may exist either in a steady phase, in which the average mass at each site attains a time-independent value, or in a "growing" phase, in which the total mass grows indefinitely in time, even in a finite system. The growing phases have interesting spatial structure. In particular, we find phases in which some spatial regions of the system have a constant average mass, while other regions show unbounded growth.
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