Cited by 779DNA and Biological ComputingAdvanced biosensing and bioanalysis techniquesComputability, Logic, AI Algorithms

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Logical computation using algorithmic self-assembly of DNA triple-crossover molecules

Mao, Chengde, LaBean, Thomas H., Reif, John H., Seeman, Nadrian C.·2000·Nature

DOI 10.1038/35035038

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Abstract

Recent work has demonstrated the self-assembly of designed periodic two-dimensional arrays composed of DNA tiles, in which the intermolecular contacts are directed by 'sticky' ends. In a mathematical context, aperiodic mosaics may be formed by the self-assembly of 'Wang' tiles, a process that emulates the operation of a Turing machine. Macroscopic self-assembly has been used to perform computations; there is also a logical equivalence between DNA sticky ends and Wang tile edges. This suggests that the self-assembly of DNA-based tiles could be used to perform DNA-based computation. Algorithmic aperiodic self-assembly requires greater fidelity than periodic self-assembly, because correct tiles must compete with partially correct tiles. Here we report a one-dimensional algorithmic self-assembly of DNA triple-crossover molecules that can be used to execute four steps of a logical (cumulative XOR) operation on a string of binary bits.

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Gehani, A., LaBean, T. H. & Reif, J. H. in DNA Based Computers: Proceedings of a DIMACS Workshop, June 1999, MIT (ed. E. Winfree) (DIMACS Series in Discrete Mathematics and Theoretical Computer Science, American Mathematical Society, Providence, RI, in the press).

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Authors: Mao, C., LaBean, T. H., Reif, J. H., & Seeman, N. C.
Affiliations: New York University (US)
Duke University (US)
Corresponding author: Seeman, Nadrian C.
ORCID: Mao, Chengde
LaBean, Thomas H.
Reif, John H.
Seeman, Nadrian C.
Venue: Nature
Publisher: Springer Science and Business Media LLC
Published: 2000-09-28
Volume: 407
Issue: 6803
Pages: 493-496
ISSN: 0028-0836 (ISSN-L)
1476-4687
DOI: 10.1038/35035038
OpenAlex: W1628582474
Cited by: 779
References: 18
Citations by year: 2026: 8 · 2025: 10 · 2024: 10 · 2023: 17 · 2022: 14 · 2021: 20 · 2020: 14 · 2019: 13 · 2018: 16 · 2017: 16 · 2016: 27 · 2015: 46 · 2014: 37 · 2013: 33 · 2012: 41
FWCI: 11.92
Type: journal article
Language: en
Update notices: erratum (2000-12-07)
Open access: closed
Licence: www.springer.com/tdm (tdm)
www.springer.com/tdm (vor)
Locations: Nature (publishedVersion)
PubMed (publishedVersion)
RePEc: Research Papers in Economics (submittedVersion)
Funders: National Science Foundation
National Institutes of Health
Defense Advanced Research Projects Agency
Army Research Office
Topics: Physical Sciences › Mathematics › Theoretical Computer Science › DNA and Biological Computing
Life Sciences › Biochemistry, Genetics and Molecular Biology › Molecular Biology › Advanced biosensing and bioanalysis techniques
Physical Sciences › Computer Science › Computational Theory and Mathematics › Computability, Logic, AI Algorithms
Keywords: DNA self-assembly, DNA computing, algorithmic self-assembly, Wang tiles, sticky ends, binary logic, one-dimensional self-assembly
MeSH terms: Algorithms, DNA, Nucleic Acid Conformation, Computational Biology

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Logical computation using algorithmic self-assembly of DNA triple-crossover molecules

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