具有可更新激励间隔的可激励自动机的电导模式
Patterns of conductivity in excitable automata with updatable intervals of excitations
摘要：
我们定义了一个元胞自动机，其中一个休息的细胞兴奋，如果它的兴奋的邻居属于一些指定的间隔和边界的间隔变化取决于在细胞的邻居兴奋和难治性邻居的比例。我们计算一个细胞的兴奋性作为一些可能的邻域配置，激发静息细胞。我们把具有最大兴奋性值的细胞称为导电细胞。在详尽的搜索功能的激励间隔更新，我们选择的功能，导致形成的导电细胞的连接配置。所发现的功能用于在最初不导电的细胞阵列中设计导电的线状通路。我们证明，通过定位种子的不断增长的导电通路，它是可能的，以实现广泛的布线操作，包括反射的电线，停止电线，形成导电桥和产生新的电线的碰撞的结果。研究结果可用于可激发非线性介质、反应扩散化学体系、神经组织和导电聚合物组装体中的导电电路设计。
英文摘要：
We define a cellular automaton where a resting cell excites if number of its excited neighbours belong to some specified interval and boundaries of the interval change depending on ratio of excited and refractory neighbours in the cell's neighbourhood. We calculate excitability of a cell as a number of possible neighbourhood configurations that excite the resting cell. We call cells with maximal values of excitability conductive. In exhaustive search of functions of excitation interval updates we select functions which lead to formation of connected configurations of conductive cells. The functions discovered are used to design conductive, wire-like, pathways in initially non-conductive arrays of cells. We demonstrate that by positioning seeds of growing conductive pathways it is possible to implement a wide range of routing operations, including reflection of wires, stopping wires, formation of conductive bridges and generation of new wires in the result of collision. The findings presented may be applied in designing conductive circuits in excitable non-linear media, reaction-diffusion chemical systems, neural tissue and assembles of conductive polymers.
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