Friedrich Benjamin M
Max Planck Institute for the Physics of Complex Systems, 01187 Dresden, Germany.
Phys Biol. 2008 Jun 24;5(2):026007. doi: 10.1088/1478-3975/5/2/026007.
Optimal search strategies and their implementations in biological systems are a subject of active research. Here we study a search problem which is motivated by the hunt of sperm cells for the egg. We ask for the probability for an active swimmer to find a target under the condition that the swimmer starts at a certain distance from the target. We find that success probability is maximal for a certain level of fluctuations characterized by the persistence length of the swimming path of the swimmer. We derive a scaling law for the optimal persistence length as a function of the initial target distance and search time by mapping the search on a polymer physics problem.
最优搜索策略及其在生物系统中的实现是当前活跃的研究课题。在此，我们研究一个受精子寻找卵子过程启发的搜索问题。我们探讨在游动者从距目标一定距离处开始游动的条件下，一个活跃游动者找到目标的概率。我们发现，对于由游动者游动路径的持久长度所表征的特定波动水平，成功概率最大。通过将搜索问题映射到一个聚合物物理问题上，我们推导出了最优持久长度作为初始目标距离和搜索时间函数的标度律。
