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原文連結
論文資訊
- 類型：已發表論文
- 日期：2015-05-15
摘要
We investigate a 隨機 search process in one dimension under the competing roles of mortality, redundancy, and 多樣性 of the searchers. This picture represents a toy model for the fertilization of an oocyte by sperm. A 族群 of N independent and mortal diffusing searchers all start at x = L and attempt to reach the target at x = 0. When mortality is irrelevant, the search time scales as tau(D) / ln N for ln N >> 1, where tau(D) similar to L-2 / D is the diffusive time scale. Conversely, when the mortality rate mu of the searchers is sufficiently large, the search time scales as root tau(D)/mu, independent of N. When searchers have distinct and high mortalities, a sub族群 with a nontrivial optimal diffusivity is most likely to reach the target. We also discuss the effect of chemotaxis on the search ti
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