Emergence of Turing Patterns in a Simple Cellular Automata-Like Model via Exchange of Integer Values between Adjacent Cells
Emergence of Turing Patterns in a Simple Cellular Automata-Like Model via Exchange of Integer Values between Adjacent Cells
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DOI：
10.1155/2020/2308074
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发表时间：
2020-01-28
影响因子：
1.4
通讯作者：
Ishida, Takeshi
中科院分区：
文献类型：
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作者：
Ishida, Takeshi
图灵模式模型是用来描述生物体形成模式的理论之一。使用这个模型，自组织模式出现由于激活剂和抑制剂的浓度的差异。在这里，一个细胞自动机（CA）的模型，其中图灵模式出现通过相邻细胞之间的整数值的交换。在这个简单的六边形网格模型中，每个细胞的状态根据六个相邻细胞交换的信息而变化。该模型的显着特点是，它提出了一个不同的模式形成机制，只使用一种令牌，如通过空间扩散老化的化学试剂。使用这种类似CA的模型，当改变四个参数中的两个参数时，会出现各种类似图灵的图案（斑点或条纹）。该模型能够支持在邻域空间中传播的图灵不稳定性;观察到全局模式从局部有限模式传播。这个模型不是传统图灵模型的替代品，而是一个简化的图灵模型。使用该模型，例如，可以控制多个机器人形成为诸如圆形组或将圆形组分成两组的形式。在信息网络领域，所提出的模型可以应用于物联网设备组，以创建宏观空间结构来控制数据流量。
The Turing pattern model is one of the theories used to describe organism formation patterns. Using this model, self-organized patterns emerge due to differences in the concentrations of activators and inhibitors. Here a cellular automata (CA)-like model was constructed wherein the Turing patterns emerged via the exchange of integer values between adjacent cells. In this simple hexagonal grid model, each cell state changed according to information exchanged from the six adjacent cells. The distinguishing characteristic of this model is that it presents a different pattern formation mechanism using only one kind of token, such as a chemical agent that ages via spatial diffusion. Using this CA-like model, various Turing-like patterns (spots or stripes) emerge when changing two of four parameters. This model has the ability to support Turing instability that propagates in the neighborhood space; global patterns are observed to spread from locally limited patterns. This model is not a substitute for a conventional Turing model but rather is a simplified Turing model. Using this model, it is possible to control the formation of multiple robots into such forms as circle groups or dividing a circle group into two groups, for example. In the field of information networks, the presented model could be applied to groups of Internet-of-Things devices to create macroscopic spatial structures to control data traffic.