论文标题
动态不稳定聚合物的通用灾难时间分布
Universal catastrophe time distributions of dynamically unstable polymers
论文作者
论文摘要
在多个生物聚合物中观察到了动态不稳定性 - 准二维丝的生长，灾难和收缩。长期以来，科学家已经理解了生长的灾难性停止以及随后的解聚，这是由于聚合物尖端的水解和聚合的相互作用引起的。在这里，我们表明，对于一系列广泛的灾难模型，预期的灾难时间分布是指数的。我们表明，分布形状对噪声不敏感，但是从有限池的单体耗尽可以通过降低聚合速率来大大改变分布形状。我们得出了这种有限池灾难的时间分布的一种形式，并表明即使单体的耗尽并不能极大地改变聚合速率，有限池效应也可能很重要。
Dynamic instability -- the growth, catastrophe, and shrinkage of quasi-one-dimensional filaments -- has been observed in multiple biopolymers. Scientists have long understood the catastrophic cessation of growth and subsequent depolymerization as arising from the interplay of hydrolysis and polymerization at the tip of the polymer. Here, we show that for a broad class of catastrophe models, the expected catastrophe time distribution is exponential. We show that the distribution shape is insensitive to noise, but that depletion of monomers from a finite pool can dramatically change the distribution shape by reducing the polymerization rate. We derive a form for this finite-pool catastrophe time distribution and show that finite-pool effects can be important even when the depletion of monomers does not greatly alter the polymerization rate.
