病毒在生物细胞内的有效运动
Effective Motion of a Virus Trafficking Inside a Biological Cell
摘要：
病毒运输是感染成功的基础，质粒胞质运输是基因递送的关键步骤。基于微管、马达蛋白等细胞运输机制的主要物理性质，本文的目标是建立一个研究细胞质运输的数学模型。由于实验结果表明，主动和被动运动都是必要的病毒到达细胞核，通过考虑到病毒与微管的复杂相互作用，我们在这里推导出病毒到达细胞核的平均时间的估计。特别是，我们提出了一个数学程序，其中复杂的病毒运动，纯扩散和确定性运动之间的振荡沿微管，可以近似为一个稳定状态的随机方程与恒定的有效漂移。给出了漂移幅度的显式表达式，它是真实漂移、微管密度和其他物理参数的函数。本方法可用于模拟细胞质内的病毒运输，这是病毒感染的基本步骤，导致病毒复制，并在某些情况下导致细胞损伤。
英文摘要：
Virus trafficking is fundamental for infection success and plasmid cytosolic trafficking is a key step of gene delivery. Based on the main physical properties of the cellular transport machinery such as microtubules, motor proteins, our goal here is to derive a mathematical model to study cytoplasmic trafficking. Because experimental results reveal that both active and passive movement are necessary for a virus to reach the cell nucleus, by taking into account the complex interactions of the virus with the microtubules, we derive here an estimate of the mean time a virus reaches the nucleus. In particular, we present a mathematical procedure in which the complex viral movement, oscillating between pure diffusion and a deterministic movement along microtubules, can be approximated by a steady state stochastic equation with a constant effective drift. An explicit expression for the drift amplitude is given as a function of the real drift, the density of microtubules and other physical parameters. The present approach can be used to model viral trafficking inside the cytoplasm, which is a fundamental step of viral infection, leading to viral replication and in some cases to cell damage.
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