Dipartimento Interateneo di Scienze, Progetto e Politiche del Territorio (DIST), Politecnico di Torino, Viale Pier Andrea Mattioli 39, Turin 10125, Italy.
Department of Mathematics, Swansea University, Computational Foundry, Bay Campus, Swansea SA1 8EN, UK.
J R Soc Interface. 2024 Oct;21(219):20240409. doi: 10.1098/rsif.2024.0409. Epub 2024 Oct 30.
In a chase-and-run dynamic, the interaction between two individuals is such that one moves towards the other (the chaser), while the other moves away (the runner). Examples can be found in both interacting cells and animals. Here, we investigate the behaviours that can emerge at a population level, for a heterogeneous group that contains subpopulations of chasers and runners. We show that a wide variety of patterns can form, from stationary patterns to oscillatory and population-level chase-and-run, where the latter describes a synchronized collective movement of the two populations. We investigate the conditions under which different behaviours arise, specifically focusing on the interaction ranges: the distances over which cells or organisms can sense one another's presence. We find that when the interaction range of the chaser is sufficiently larger than that of the runner-or when the interaction range of the chase is sufficiently larger than that of the run-population-level chase-and-run emerges in a robust manner. We discuss the results in the context of phenomena observed in cellular and ecological systems, with particular attention to the dynamics observed experimentally within populations of neural crest and placode cells.
在追逐-逃跑动态中，两个个体的相互作用是这样的：一个向另一个移动（追逐者），而另一个则远离（逃跑者）。这种现象在相互作用的细胞和动物中都可以找到。在这里，我们研究了包含追逐者和逃跑者亚群的异质群体在群体水平上可能出现的行为。我们表明，可以形成各种各样的模式，从静止模式到振荡和群体水平的追逐-逃跑，后者描述了两个群体的同步集体运动。我们研究了不同行为出现的条件，特别是关注相互作用范围：细胞或生物体可以感知彼此存在的距离。我们发现，当追逐者的相互作用范围足够大于逃跑者时-或者当追逐的相互作用范围足够大于逃跑时-群体水平的追逐-逃跑会以稳健的方式出现。我们在细胞和生态系统中观察到的现象的背景下讨论了这些结果，特别关注神经嵴和基板细胞群体中实验观察到的动力学。
