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Peculiarities of random walks with resetting in a one-dimensional chain
Journal of Physics A: Mathematical and Theoretical ( IF 2.0 ) Pub Date : 2020-12-09 , DOI: 10.1088/1751-8121/abc765
L N Christophorov

The main characteristics (stationary probability distribution and mean first passage time, MFPT) of random walks on the nodes of a (semi)infinite chain with resetting are obtained. It is shown that their dependences on the resetting rate frequency r essentially differ from those within the classical continuous diffusion model. The same is true for a finite chain in which the existence of an optimal value r * that minimizes the MFPT becomes critically dependent on the resetting node position. As one of non-standard application of the results, the counter-intuitive effect of enzymatic reaction acceleration by increasing the rate of unproductive dissociation of the enzyme-substrate complex is explained.



中文翻译:

一维链重置中随机游走的特殊性

获得具有重置的(半)无限链节点上随机游动的主要特征(平稳概率分布和平均首次通过时间,MFPT)。结果表明,它们对复位速率频率r的依赖性与经典连续扩散模型中的依赖性基本不同。对于有限链来说也是如此,其中最小化MFPT的最优值r *的存在严重取决于复位节点的位置。作为结果的非标准应用之一,解释了通过增加酶-底物复合物的非生产解离速率来促进酶促反应的反直觉效果。

更新日期:2020-12-09
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