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Solutions of Shortest Path Problems by Concentration Control

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DNA Computing (DNA 2001)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 2340))

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Abstract

In this paper, we present a concentration control method that may become a new framework of DNA computing. In this method, the concentration of each DNA is used as input and output data. By encoding the numeric data into concentrations of DNAs, a shortest path problem, which is a combinatorial optimization problem, can be solved. The method also enables local search among all candidate solutions instead of a exhaustive search. Furthermore, we can reduce the costs of some experimental operations in detecting process of DNA computing, because we have only to extract and analyze relatively intensive bands. Solutions of a shortest path problem by using a simulator and by laboratory experiments are presented to show the effectiveness of the concentration control method.

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References

  1. L. Adleman: “Molecular Computation of Solutions to Combinatorial Problems,” Science, vol. 266, pp. 1021–1024, 1994.

    Article  Google Scholar 

  2. R. J. Lipton: “DNA Solution of Hard Computational Problems,” Science, vol. 268, pp. 542–545, 1995.

    Article  Google Scholar 

  3. Q. Ouyang, P. Kaplan, S. Lir, and A. Libchaber: “DNA Solution of the Maximal Clique Problem,” Science, vol. 278, pp. 446–449, 1997.

    Article  Google Scholar 

  4. J. Chen, A. Eugene, B. Lemieux, W. Cedeno and D. H. Wood: “In vitro Selection for a Max 1s DNA Genetic Algorithm,” Preliminary Proceedings of Fifth International Meeting on DNA Based Computers, pp. 23–37, 1999.

    Google Scholar 

  5. K. Sakamoto, H. Gouzu, K. Komiya, D. Kiga, S. Yokoyama, T. Yokomori, and M. Hagiya: “Molecular Computation by DNA Hairpin Formation,” Science, vol. 288, pp. 1223–1226, 2000.

    Article  Google Scholar 

  6. T. Head, M. Yamamura, and S. Gal: “Aqueous Computing: writing on molecules,” Proc. Congress on Evolutionary Computation 1999, IEEE Service Center, Piscataway NJ, pp. 1006–1010, 1999.

    Chapter  Google Scholar 

  7. J. Oliver: “Computation With DNA: Matrix Multiplication,” DNA Based Computers 2, DIMACS Series in Discrete Mathematics and Theoretical Computer Science Volume 44, pp. 113–122, 1999.

    Google Scholar 

  8. M. Yamamoto, J. Yamashita, T. Shiba, T. Hirayama, S. Takiya, K. Suzuki, M. Munekata, and A. Ohuchi: “A Study on the Hybridization Process in DNA Computing,” DNA Based Computers 5, DIMACS Series in Discrete Mathematics and Theoretical Computer Science Volume 54, pp. 101–110, 2000.

    Google Scholar 

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© 2002 Springer-Verlag Berlin Heidelberg

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Yamamoto, M., Matsuura, N., Shiba, T., Kawazoe, Y., Ohuchi, A. (2002). Solutions of Shortest Path Problems by Concentration Control. In: Jonoska, N., Seeman, N.C. (eds) DNA Computing. DNA 2001. Lecture Notes in Computer Science, vol 2340. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-48017-X_19

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  • DOI: https://doi.org/10.1007/3-540-48017-X_19

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-43775-8

  • Online ISBN: 978-3-540-48017-4

  • eBook Packages: Springer Book Archive

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