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Towards a framework for collective behavior in growth-driven systems, based on plant-inspired allotropic pairwise interactions

机译:基于植物启发的同种异体成对相互作用,迈向生长驱动系统中集体行为的框架

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A variety of biological systems are not motile, but sessile in nature, relying on growth as the main driver of their movement. Groups of such growing organisms can form complex structures, such as the functional architecture of growing axons, or the adaptive structure of plant root systems. These processes are not yet understood, however the decentralized growth dynamics bear similarities to the collective behavior observed in groups of motile organisms, such as flocks of birds or schools of fish. Equivalent growth mechanisms make these systems amenable to a theoretical framework inspired by tropic responses of plants, where growth is considered implicitly as the driver of the observed bending towards a stimulus. We introduce two new concepts related to plant tropisms: point tropism, the response of a plant to a nearby point signal source, and allotropism, the growth-driven response of plant organs to neighboring plants. We first analytically and numerically investigate the 2D dynamics of single organs responding to point signals fixed in space. Building on this we study pairs of organs interacting via allotropism, i.e. each organ senses signals emitted at the tip of their neighbor and responds accordingly. In the case of local sensing we find a rich state-space. We describe the different states, as well as the sharp transitions between them. We also find that the form of the state-space depends on initial conditions. This work sets the stage towards a theoretical framework for the investigation and understanding of systems of interacting growth-driven individuals.
机译:各种各样的生物系统不是运动,而是无论自然界,依靠增长作为运动的主要司机。这种越来越多的生物组可以形成复杂的结构,例如生长轴突的功能架构,或植物根系系统的自适应结构。尚未理解这些过程,然而分散的生长动态承担与运动生物组中观察到的集体行为的相似性,例如鱼群或鱼类学校。等效增长机制使这些系统能够适用于受植物的热带反应的理论框架,其中生长被视为观察到弯曲刺激的驾驶员。我们介绍了两个与植物矫正性相关的新概念:点覆革主义,植物对附近点信号源的反应,以及同质性,植物器官的生长驱动响应到邻近植物。我们首先在分​​析上进行了数值和数值研究了单个器官的2D动态,响应于空间中固定的点信号。在此基础上,我们研究通过同质性交互的器官,即,每个器官感应在邻居尖端发出的信号并相应地响应。在本地感知的情况下,我们找到了丰富的状态空间。我们描述了不同的州,以及它们之间的急剧转换。我们发现状态空间的形式取决于初始条件。这项工作使舞台朝着对互动增长的个体系统进行调查和理解的理论框架。

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