Random Search in Fluid Flow Aided by Chemotaxis
Random Search in Fluid Flow Aided by Chemotaxis
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DOI：
10.1007/s11538-022-01024-4
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发表时间：
2021-07
影响因子：
3.5
通讯作者：
Yishu Gong;Si-ming He;A. Kiselev
中科院分区：
文献类型：
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作者：
Yishu Gong;Si-ming He;A. Kiselev
在本文中，我们考虑的动力学的二维目标搜索代理执行布朗运动的流体剪切流和化学吸引力的影响下。分析的动机是生物学中存在这些影响的许多情况，例如海洋动物的广播产卵和其他生殖过程或免疫系统的工作。我们严格的特点，在大流量振幅限制的预期命中时间的限制对应于有效的一维问题。我们还进行数值计算，以表征预期的搜索持续时间的更精细的属性。数值实验显示了许多有趣的功能的过程中，特别是存在的剪切流的最佳值，最大限度地减少预期的目标命中时间，并优于大流量限制。
In this paper, we consider the dynamics of a 2D target-searching agent performing Brownian motion under the influence of fluid shear flow and chemical attraction. The analysis is motivated by numerous situations in biology where these effects are present, such as broadcast spawning of marine animals and other reproduction processes or workings of the immune systems. We rigorously characterize the limit of the expected hit time in the large flow amplitude limit as corresponding to the effective one-dimensional problem. We also perform numerical computations to characterize the finer properties of the expected duration of the search. The numerical experiments show many interesting features of the process and in particular existence of the optimal value of the shear flow that minimizes the expected target hit time and outperforms the large flow limit.