Biological molecular motors are special enzymes that support biological processes such as intracellular transport, vesicle locomotion, RNA translation and many more. Experimental works suggest that the motor proteins interact among each other and moreover they experience a push by other motors during the intracellular transport. To incorporate these dynamics, we consider a variant of open one-dimensional totally asymmetric simple exclusion process with site-dependent hopping rates and interactions. The qualitative properties of our system do not depend on the hopping rate function. We utilize the simple mean-field, the cluster mean-field, the correlated cluster mean-field to theoretically calculate the stationary phase diagrams, density and the maximal particle current. The limitations of all the three theories are extensively discussed. It has been found that although the interactions do not change the number of phases in a phase diagram, it significantly changes the density pr...

中文翻译：

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完全不对称排斥过程中具有位置依赖性跳变率的相互作用分析：理论和模拟

生物分子驱动器是支持生物过程的特殊酶，例如细胞内运输，囊泡运动，RNA翻译等等。实验工作表明，运动蛋白彼此相互作用，此外，它们在细胞内转运过程中还受到其他运动的推动。为了整合这些动态，我们考虑了开放一维完全不对称简单排除过程的变体，该过程具有依赖于站点的跳跃率和相互作用。我们系统的定性特性不取决于跳跃率函数。我们利用简单的均值场，聚类均值场，相关聚类均值场从理论上计算出固定相图，密度和最大粒子电流。全面讨论了这三种理论的局限性。