生物系统集体运动中层级线的涌现
The Emergence of Lines of Hierarchy in Collective Motion of Biological Systems
AI总结：
本文受趋化性与趋光性现象启发，提出一类新的对齐模型，通过新颖的成对相互作用机制解释生物系统中层级线与领导者-追随者结构的自发涌现，并数值复现了现有模型难以捕捉的指进现象。
摘要：
生物系统中大尺度结构的涌现，特别是层级线的形成，在从细胞集合到昆虫群体再到动物群落的多个尺度上均可观察到。受趋化性和趋光性现象的启发，我们提出了一类新的对齐模型，该模型展现出沿直线对齐的行为。这种“指状”结构的自发形成可被解释为在具有相同相互作用的智能体系统中领导者与追随者的涌现。我们提供了多个数值示例，展示了与某些趋光性和趋化性实验中观察到的“指进”现象相似的涌现行为；该现象通常被认为是现有模型难以捕捉的模式。这种新颖的成对相互作用提供了一种基本机制，通过该机制，智能体可在广泛的生物系统中形成社会层级。
英文摘要：
The emergence of large scale structures in biological systems, and in particular the formation of lines of hierarchy, is observed in many scales, from collections of cells to groups of insects to herds of animals. Motivated by phenomena in chemotaxis and phototaxis, we present a new class of alignment models which exhibit alignment into lines. The spontaneous formation of such ``fingers" can be interpreted as the emergence of leaders and followers in a system of identically interacting agents. Various numerical examples are provided, which demonstrate emergent behaviors similar to the ``fingering'' phenomenon observed in some phototaxis and chemotaxis experiments; this phenomenon is generally known as a challenging pattern to capture for existing models. The novel pairwise interactions provides a fundamental mechanism by which agents may form social hierarchy across a wide range of biological systems.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
