Abstract
In attempting to automate the computation of n-variable 3-CNF SAT problems using DNA, two physical architectures were scrutinized, the "in-line" architecture and the "waste-well" architecture. Computer modeling of the effects of non-specific binding predicted that the in-line version would not work for problems of more than 7 variables. According to the model, the "wrong answer" DNA strands would swamp out the "correct answer" DNA strands in the final computation module. And in fact, the in-line architecture never performed a computation higher than 6 variables.
To perform a 20 variable instance of the 3-CNF SAT problem a manual version of the waste-well architecture was employed. Surprisingly though, after analysis of the modeling results, it appears that through a simple protocol change, the in-line architecture may have been able to perform higher order computations.
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
Adleman, L.M.: Molecular computation of solutions to combinatorial problems. Science 266, 1021–1024 (1994)
Boneh, D., Dunworth, C., Lipton, R.: Breaking DES using a molecular computer. In: Lipton, R.J., Baum, E.B. (eds.) DNA Based Computers: Proceedings of a DIMACS Workshop, April 4, 1995. DIMACS: Series in Discrete Mathematics and Theoretical Computer Science, vol. 27, pp. 37–65. Princeton University. American Mathematical Society, Providence, RI (1996)
Lipton, R.: DNA Solution of Hard Computational Problems. Science 268(5210), 542–545 (1995)
Braich, R., Johnson, C., Rothemund, P.W.K., Hwang, D., Chelyapov, N., Adleman, L.: Satisfiability Problem on a Gel Based DNA Computer. In: Condon, A., Rozenberg, G. (eds.) DNA 2000. LNCS, vol. 2054, Springer, Heidelberg (2001)
Braich, R., Chelyapov, N., Johnson, C., Rothemund, P., Adleman, L.: Solution of a 20-Variable 3-SAT Problem on a DNA Computer. Science 296, 499–502 (2002)
Gu, J., Pardalos, P., Du, D. (eds.): Preface, Satisfiability Problem: Theory and Applications. DIMACS Series in Discrete Mathematics and Computer Science, American Mathematical Society, Providence, Rhode Island (1997)
Boneh, D., Dunworth, C., Lipton, R.: Breaking DES using a molecular computer. In: Lipton, R.J., Baum, E.B. (eds.) DNA Based Computers: Proceedings of a DIMACS Workshop, April 4, 1995. DIMACS: Series in Discrete Mathematics and Theoretical Computer Science, vol. 27, pp. 37–65. Princeton University. American Mathematical Society, Providence, RI (1996)
Johnson, C.: Automating the DNA Computer. In: Mao, C., Yokomori, T. (eds.) DNA Computing. LNCS, vol. 4287, Springer, Heidelberg (2006)
Melzak, K.A., Sherwood, C.S., Turner, R.F.B., Haynes, C.A.: Driving forces for DNA adsorption to silica in perchlorate solutions. J. of Colloid and Interface Science (181), 635–644 (1996)
Tanaka, T.: Gels. Scientific American 244(1), 124–138 (1981)
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 2008 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Johnson, C.R. (2008). Modeling Non-specific Binding in Gel-Based DNA Computers. In: Garzon, M.H., Yan, H. (eds) DNA Computing. DNA 2007. Lecture Notes in Computer Science, vol 4848. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-77962-9_18
Download citation
DOI: https://doi.org/10.1007/978-3-540-77962-9_18
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-77961-2
Online ISBN: 978-3-540-77962-9
eBook Packages: Computer ScienceComputer Science (R0)