Universal totalistic asynchonous cellular automaton and its possible implementation by DNA

Teijiro Isokawa, Ferdinand Peper, Ibuki Kawamata, Nobuyuki Matsui, Satoshi Murata, Masami Hagiya

Research output: Chapter in Book/Report/Conference proceedingConference contribution

7 Citations (Scopus)

Abstract

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.

Original languageEnglish
Title of host publicationUnconventional Computation and Natural Computation - 15th International Conference, UCNC 2016, Proceedings
EditorsAnne Condon, Martyn Amos
PublisherSpringer-Verlag
Pages182-195
Number of pages14
ISBN (Print)9783319413112
DOIs
Publication statusPublished - 2016 Jan 1
Event15th International Conference on Unconventional Computation and Natural Computation, UCNC 2016 - Manchester, United Kingdom
Duration: 2016 Jul 112016 Jul 15

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume9726
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Other

Other15th International Conference on Unconventional Computation and Natural Computation, UCNC 2016
CountryUnited Kingdom
CityManchester
Period16/7/1116/7/15

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Computer Science(all)

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  • Cite this

    Isokawa, T., Peper, F., Kawamata, I., Matsui, N., Murata, S., & Hagiya, M. (2016). Universal totalistic asynchonous cellular automaton and its possible implementation by DNA. In A. Condon, & M. Amos (Eds.), Unconventional Computation and Natural Computation - 15th International Conference, UCNC 2016, Proceedings (pp. 182-195). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 9726). Springer-Verlag. https://doi.org/10.1007/978-3-319-41312-9_15