Universal Totalistic Asynchonous Cellular Automaton and Its Possible Implementation by DNA

Universal Totalistic Asynchonous Cellular Automaton and Its Possible Implementation by DNA
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通用极权异步元胞自动机及其DNA的可能实现

DOI:
10.1007/978-3-319-41312-9_15
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发表时间:
2016
期刊:
--
影响因子:
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通讯作者:
M. Hagiya
M. Hagiya
中科院分区:
--
文献类型:
--
作者:
T. Isokawa;F. Peper;I. Kawamata;N. Matsui;S. Murata;M. Hagiya

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本文提出了一个元胞自动机(CA)模型,该模型旨在通过DNA链的反应和扩散来实现。所提出的CA是异步工作的,因此每个单元独立于其他单元并在随机时间经历其转换。单元的状态以循环方式改变,而不是根据任意对任意的映射。转换规则被设计为全局性的,即,单元的下一状态仅由单元附近的状态的数量确定,而不是由它们的相对位置确定。为CA设计了通用电路元件以及连接它们的导线和交叉,这意味着CA是图灵完成的。
This paper presents a Cellular Automaton (CA) model designed for possible implementation by the reaction and diffusion of DNA strands. The proposed CA works asynchronously, whereby each cell undergoes its transitions independently from other cells and at random times. The state of a cell changes in a cyclic manner, rather than according to an any-to-any mapping. The transition rules are designed as totalistic, i.e., the next state of a cell is determined only by the number of states in the neighborhood of the cell, not by their relative positions. Universal circuit elements are designed for the CA as well as wires and crossings to connect them, which implies that the CA is Turing-complete.
DOI: 10.1038/msb.2010.120
发表时间: 2011-02-01
影响因子: 9.9
作者:
通讯作者: --