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Logical computation using algorithmic self-assembly of DNA triple-crossover molecules
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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“Robust, rigid DNA tiles with programmable “sticky ends” have been made using double-crossover (DX),141 triple-crossover (TX),142 and single-stranded tile (SST)143 motifs and used for a variety of algorithmic self-assembly experiments.”
From Emerging Approaches to DNA Data Storage: Challenges and Prospects (2022) · cites this paper as [142]
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Research works printed but not linked: 1
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Metadata
- 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.
- Venue
- Nature
- Published
- 2000-09-28
- Volume
- 407
- Issue
- 6803
- Pages
- 493-496
- ISSN
- 0028-0836 (ISSN-L)
- 1476-4687
- 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
- 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
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
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