We define a cellular automaton where a resting cell excites if number of itsexcited neighbours belong to some specified interval and boundaries of theinterval change depending on ratio of excited and refractory neighbours in thecell's neighbourhood. We calculate excitability of a cell as a number ofpossible neighbourhood configurations that excite the resting cell. We callcells with maximal values of excitability conductive. In exhaustive search offunctions of excitation interval updates we select functions which lead toformation of connected configurations of conductive cells. The functionsdiscovered are used to design conductive, wire-like, pathways in initiallynon-conductive arrays of cells. We demonstrate that by positioning seeds ofgrowing conductive pathways it is possible to implement a wide range of routingoperations, including reflection of wires, stopping wires, formation ofconductive bridges and generation of new wires in the result of collision. Thefindings presented may be applied in designing conductive circuits in excitablenon-linear media, reaction-diffusion chemical systems, neural tissue andassembles of conductive polymers.
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