Abstract
Biological chip technology and DNA computing are new research areas in biology science and information science separately. The essential characteristic of both is the massive parallel of obtaining and managing information. The integer linear programming problem is an important problem in opsearch and it is an NP-complete problem. But up to now, there does not exist any good algorithm yet. A new DNA computing model is provided to solve a integer linear programming problem based on Molecular Beacon chip. In the method, the integer linear programming problem is solved with molecular beacon by fluorescing upon hybridization to their complementary DNA targets. The method has some significant advantages such as simple encoding, excellent sensitivity, high selectivity, low cost, low error, short operating time, reusable surface and simple experimental steps. The result suggest s the potential of Molecular Beacon used as a DNA computer chip.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Feynmam, R.P.: In: Gilbart, D.H. (ed.) Minaturization, Reinhold, New York, pp. 282–296 (1961)
Ouyang, Q.P., Kaplan, D.S., Liu, M., libchaber, A.: DNA Solution of the Maximal Clique Problem. Science 278, 446–449 (1997)
Christos, H., Papadimitriou: Papadimitriou. In: Combinatorial Optimization: Algorithms and Complexity, Prentice-Hall, Inc., Englewood Cliffs, New Jersey (1989)
Cox, J.C.: The Complexities of DNA Computation. Tibtech 17, 151–154 (1996)
Adleman, L.M.: Molecular Computation of Solutions to Combinatorial Problems. Science 266, 1021–1023 (1994)
Lipton, R.J.: DNA Solution of Hard Computational Problems. Science 268, 542–545 (1995)
Liu, Q.: DNA Computing on Surfaces. Nature 403, 175–179 (2000)
Wu, H.Y.: An Improved Surface-based Method for DNA Computation. Biosystem 59, 1–5 (2001)
Yin, Z.X., Zhang, F.Y.A., Xu, J.: A Chinese Postman Problem Based on DNA Computing. Journal of Chemical Information and Computing Science 42, 222–224 (2002)
Head, T.: Formal Language Theory and DNA: an Analysis of the Generative Capacity of Specific Recombinant Behaviors. Bull. Math. Biol. 49, 737–759 (1997)
Liu, Q.: Progress Toward Demonstration of a Surface Based DNA Computation: a One Word Approach to Solve a Model Satisfiability Problem. Biosystems 52, 25–33 (1999)
Sakamoto, K.G.A.: Hidetaka, et al.: Molecular Computation by DNA Hairpin Formation. Science 288, 1223–1226 (2000)
Braich, R.S.: Solution of a 20-Variable 3-SAT Problem on a DNA Computer. Science 296, 499–502 (2002)
Yin, Z.X., Zhang, F.Y.A., Xu, J.: The General Form of 0-1 Programming Problem Based on DNA Computing. Biosystems 70, 73–78 (2003)
Wang, S.Y.A., Yang, A.M.: DNA Solution of Integer Linear Programming. Applied Mathematics and Computation 17, 626–632 (2005)
Bondy, J.A., Murty, U.S.R.: Graph Theory with Applications. The Macmillan Press LTD, New York (1976)
Gass, S.L.: Linear Programming Methods and Applications, 5th edn. Mc Graw Hill Book company (1988)
Wang, Y.J., Wang, H., Lie, L.B., et al.: The Molecular Beacon Technology. Hua xue tong bao 67(12), 912–918 (2004)
Fang, X.H., Liu, X.J., Schuster, S., et al.: Designing a Novel Molecular Beacon for Surface Immobilized DNA Hybridization Studies. J. Am. Chem. Soc. 121, 2921–2922 (1999)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2006 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Yin, Zx., Cui, Jz., Yang, J., Xu, J. (2006). DNA Computing Model of the Integer Linear Programming Problem Based on Molecular Beacon. In: Huang, DS., Li, K., Irwin, G.W. (eds) Computational Intelligence and Bioinformatics. ICIC 2006. Lecture Notes in Computer Science(), vol 4115. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11816102_26
Download citation
DOI: https://doi.org/10.1007/11816102_26
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-37277-6
Online ISBN: 978-3-540-37282-0
eBook Packages: Computer ScienceComputer Science (R0)