Skip to main content

Cellular Automata Analysis on Self-assembly Properties in DNA Tile Computing

  • Conference paper
Cellular Automata (ACRI 2012)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 7495))

Included in the following conference series:

Abstract

An Analysis on the self-assembly process in DNA tile computing is presented using the cellular automata approach. It is known that a cellular automata model can simulate various complex systems by updating the states of calculation cells based on the local interaction rules. Generally DNA computing is operated through the local interaction between complimentary strands. Therefore the cellular automata approach is suitable to investigate qualitative features of such systems. Focusing on the cryptosystem using a DNA motif called a triple crossover (TX) tile, we construct a new cellular automata model. Our objective is to find a solution to improve the fragmentation problem in the self-assembly process of a calculation sheet of TX tiles, because the fragmentation prevents the system from realizing the sufficient performance. Our results suggest that such fragmentation occurs when the error correction function is lost due to the strong stability of local interaction. It is expected that these findings using cellular automata simulations provide effective information to solve the problems to develop practical applications of DNA-based computation.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Similar content being viewed by others

References

  1. Chopard, B., Droz, M.: Cellular Automata Modeling of Physical Systems. Cambridge University Press, Cambridge (1998)

    Book  MATH  Google Scholar 

  2. Mao, C., LaBean, T.H., Reif, J.H., Seeman, N.C.: Logical computation using algorithmic self-assembly of DNA triple-crossovermolecules. Nature 407, 493–496 (2000)

    Article  Google Scholar 

  3. Hirabayashi, M., Nishikawa, A., Tanaka, F., Hagiya, M., Kojima, H., Oiwa, K.: Analysis on Secure and Effective Applications of a DNA - Based Cryptosystem. In: 6th IEEE International Conference on Bio-Inspired Computing: Theory and Applications, pp. 205–210 (2011)

    Google Scholar 

  4. Hirabayashi, M., Nishikawa, A., Tanaka, F., Hagiya, M., Kojima, H., Oiwa, K.: Implementation of tile sequencing for DNA logical computation toward next-generation information security. In: 5th IEEE International Conference on Bio-Inspired Computing: Theory and Applications, pp. 1296–1307 (2010)

    Google Scholar 

  5. Hirabayashi, M., Kojima, H., Oiwa, K.: Effective algorithm to encrypt information based on self-assembly of DNA tiles. Nucleic Acids Symposium Series, vol. 53. Oxford Press (2009)

    Google Scholar 

  6. Hirabayashi, M., Kojima, H., Oiwa, K.: Design of true random one-time-pads in DNA XOR cryptosystem. In: 4th International Workshop on Natural Computing, vol. 2, pp. 174–183 (2010)

    Google Scholar 

  7. Chen, Z., Xu, J.: One-Time-Pads Encryption in the Tile Assembly Model. In: Third International Conference on Bio-Inspired Computing: Theories and Applications, pp. 23–29 (2008)

    Google Scholar 

  8. Shannon, C.: Communication Theory of Secrecy Systems. Bell System Technical Journal 28(4), 656–715 (1949)

    MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2012 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Hirabayashi, M., Kinoshita, S., Tanaka, S., Honda, H., Kojima, H., Oiwa, K. (2012). Cellular Automata Analysis on Self-assembly Properties in DNA Tile Computing. In: Sirakoulis, G.C., Bandini, S. (eds) Cellular Automata. ACRI 2012. Lecture Notes in Computer Science, vol 7495. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-33350-7_56

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-33350-7_56

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-33349-1

  • Online ISBN: 978-3-642-33350-7

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics