Binding kinetics of harmonically confined random walkers
Binding kinetics of harmonically confined random walkers
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谐波约束随机游走者的结合动力学
DOI：
10.1103/physreve.105.044136
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发表时间：
2022
影响因子：
2.4
通讯作者：
Arya, Gaurav
中科院分区：
文献类型：
--
作者：
Sensale, Sebastian;Sharma, Pranav;Arya, Gaurav
在离散空间约束势的影响下，分子的扩散介导结合是由束缚约束引起的显式场或隐式场作用下的系统中常见的情况。本文推导了一维和二维系统中由两个谐波势几何约束的两个随机漫步者的平均结合时间的解析表达式，与布朗动力学模拟结果非常吻合。为了证明其实用性，我们使用这一理论来最大化现有DNA行走器的通信速度，获得与先前报道的实验结果一致的定量结果。本文导出的解析表达式广泛适用于各种系统，为纳米尺度的传感和计算应用提供了表征通信过程和优化信号传播速率的方法。
Diffusion-mediated binding of molecules under the influence of discrete spatially confining potentials is a commonly encountered scenario in systems subjected to explicit fields or implicit fields arising from tethering restraints. Here, we derive analytical expressions for the mean binding time of two random walkers geometrically confined by means of two harmonic potentials in one- and two-dimensional systems, which show excellent agreement with Brownian dynamics simulations. As a demonstration of its utility, we use this theory to maximize the communication speed in existing DNA walkers, obtaining quantitative agreement with previously reported experimental findings. The analytical expressions derived in this paper are broadly applicable to diverse systems, providing ways to characterize communication processes and optimize the rate of signal propagation for sensing and computing applications at the nanoscale.