具有点汇杀伤场的极端扩散
Extreme diffusion with point-sink killing field
摘要：
我们在这里研究的逃逸时间的最快扩散粒子从边界的间隔点汇杀伤源。杀死表示导致移动布朗粒子的概率性移除的退化。我们渐近地计算了最快的粒子存活逃逸所需的平均时间，并得到了极端的统计分布。这些计算依赖于一个明确的表达的时间依赖于流量的福克-普朗克方程使用时间依赖的格林函数和Duhamel的公式。我们得到了几个点汇杀伤的一般公式，显示它们如何直接相互作用。最快的平均极端时间本公式的有效性范围进行评估与布朗模拟。最后，我们讨论了神经元突触早期钙信号的一些应用。
英文摘要：
We study here the escape time for the fastest diffusing particle from the boundary of an interval with point-sink killing sources. Killing represents a degradation that leads to the probabilistic removal of the moving Brownian particles. We compute asymptotically the mean time it takes for the fastest particle escaping alive and obtain the extreme statistic distribution. These computations relies on an explicit expression for the time dependent flux of the Fokker-Planck equation using the time dependent Green's function and Duhamel's formula. We obtain a general formula for several point-sink killing, showing how they directly interact. The range of validity of the present formula for the mean extreme times of the fastest is evaluated with Brownian simulations. Finally, we discuss some applications to the early calcium signaling at neuronal synapses.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
