In this paper, we analyze the mean first passage time (MFPT) for a single Brownian particle to find a stochastically-gated target under the additional condition that the position of the particle is reset to its initial position x 0 at a rate r . The gate switches between an open (absorbing) and closed (reflecting) state according to a two-state Markov chain and can only be detected by the searcher in the open state. One possible example of such a target is a protein switching between different conformational states. As expected, the MFPT with or without resetting is an increasing function of the fraction of time ρ 0 that the gate is closed or reflecting. However, the interplay between stochastic resetting and stochastic gating has non-trivial effects with regards the optimization of the search process under resetting. First, by considering the diffusive search for a gated target at one end of an interval, we show that the ratio ...

中文翻译：

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扩散搜索随机选通目标

在本文中，我们分析了单个布朗粒子的平均首次通过时间（MFPT），以在粒子的位置以速率r重置为初始位置x 0的附加条件下找到了随机门控目标。门根据二态马尔可夫链在打开（吸收）状态和关闭（反射）状态之间切换，并且只能由处于打开状态的搜索者检测到。这种靶标的一个可能的例子是蛋白质在不同构象状态之间切换。不出所料，带或不带复位的MFPT是门关闭或反射的时间ρ0的增量函数。然而，就重置下的搜索过程的优化而言，随机重置与随机门控之间的相互作用具有不小的影响。第一，