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A Self-assembly Model of Time-Dependent Glue Strength

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Book cover DNA Computing (DNA 2005)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 3892))

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Abstract

We propose a self-assembly model in which the glue strength between two juxtaposed tiles is a function of the time they have been in neighboring positions. We then present an implementation of our model using strand displacement reactions on DNA tiles. Under our model, we can demonstrate and study catalysis and self-replication in the tile assembly. We then study the tile complexity for assembling shapes in our model and show that a thin rectangle of size k ×N can be assembled using \(O(\frac{\log N}{\log \log N})\) types of tiles.

The work is supported by NSF ITR Grants EIA-0086015 and CCR-0326157, NSF QuBIC Grants EIA-0218376 and EIA-0218359, and DARPA/AFSOR Contract F30602-01-2-0561.

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Authors and Affiliations

  1. Department of Computer Science, Duke University, Box 90129, Durham, NC, 27708-0129, USA

    Sudheer Sahu, Peng Yin & John H. Reif

Authors
  1. Sudheer Sahu
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  2. Peng Yin
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  3. John H. Reif
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Editor information

Editors and Affiliations

  1. Department of Computer Science, Université Pierre et Marie Curie, INSERM U511,, 91 Boulevard de L’Hôpital, 75013, Paris, France

    Alessandra Carbone

  2. California Institute of Technology, Applied and Computational Mathematics, Bioengineering,, MC 114-96, 91125, Pasadena, CA, USA

    Niles A. Pierce

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© 2006 Springer-Verlag Berlin Heidelberg

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Sahu, S., Yin, P., Reif, J.H. (2006). A Self-assembly Model of Time-Dependent Glue Strength. In: Carbone, A., Pierce, N.A. (eds) DNA Computing. DNA 2005. Lecture Notes in Computer Science, vol 3892. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11753681_23

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  • DOI: https://doi.org/10.1007/11753681_23

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-34161-1

  • Online ISBN: 978-3-540-34165-9

  • eBook Packages: Computer ScienceComputer Science (R0)

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