论文标题
通过微管交叉的集体运动蛋白传输的随机建模
Stochastic modelling of collective motor protein transport through a crossing of microtubules
论文作者
论文摘要
真核细胞中的细胞骨架起着几个关键作用。在细胞内转运方面,运动蛋白使用细胞骨骼丝作为骨架,它们可以积极地运输携带生化反应物的囊泡等生物肉类。这种细丝之间的横梁构成了关键要素,因为它们可能有助于更改此类有效载荷的目的地。尽管已知运动蛋白在这种交叉处表现出丰富的行为,但后者到目前为止仅被建模为简单的分支点。在这里,我们探索了两个微管之间交叉的模型,该模型保留了由原丝组成的单个轨道,并构建了传输路径的示意图。我们研究了完全不对称的简单排除过程(TASEP)来体现的集体运输,并通过一般的平均均值方法对传输特征和相关的相图进行了完整的分析,我们通过基于粒子的随机模拟来确认。特别是我们表明,通过具有简单的分支点的粗粒结构,通过这种化合物交叉的传输无法近似。取而代之的是,它产生了全新的和违反直觉的特征:交通流量的基本电流密度关系不再是单值函数,并且根据交叉点的上游还是下游观察到它的不同之处。我们认为这些新型特征可能与解释实验测量直接相关。
The cytoskeleton in eukaryotic cells plays several crucial roles. In terms of intracellular transport, motor proteins use the cytoskeletal filaments as a backbone along which they can actively transport biological cargos such as vesicles carrying biochemical reactants. Crossings between such filaments constitute a key element, as they may serve to alter the destination of such payload. Although motor proteins are known to display a rich behaviour at such crossings, the latter have so far only been modelled as simple branching points. Here we explore a model for a crossing between two microtubules which retains the individual tracks consisting of protofilaments, and we construct a schematic representation of the transport paths. We study collective transport exemplified by the Totally Asymmetric Simple Exclusion Process (TASEP), and provide a full analysis of the transport features and the associated phase diagram, by a generic mean-field approach which we confirm through particle-based stochastic simulations. In particular we show that transport through such a compound crossing cannot be approximated from a coarse-grained structure with a simple branching point. Instead, it gives rise to entirely new and counterintuitive features: the fundamental current-density relation for traffic flow is no longer a single-valued function, and it furthermore differs according to whether it is observed upstream or downstream from the crossing. We argue that these novel features may be directly relevant for interpreting experimental measurements.