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Molecular Tiling and DNA Self-assembly

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Aspects of Molecular Computing

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 2950))

Abstract

We examine hypotheses coming from the physical world and address new mathematical issues on tiling. We hope to bring to the attention of mathematicians the way that chemists use tiling in nanotechnology, where the aim is to propose building blocks and experimental protocols suitable for the construction of 1D, 2D and 3D macromolecular assembly. We shall especially concentrate on DNA nanotechnology, which has been demonstrated in recent years to be the most effective programmable self-assembly system. Here, the controlled construction of supramolecular assemblies containing components of fixed sizes and shapes is the principal objective. We shall spell out the algorithmic properties and combinatorial constraints of “physical protocols”, to bring the working hypotheses of chemists closer to a mathematical formulation.

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Author information

Authors and Affiliations

  1. Institut des Hautes Études Scientifiques, 35, route de Chartres, 91440, Bures-sur-Yvette, France

    Alessandra Carbone

  2. Department of Chemistry, New York University, New York, NY, 10003, USA

    Nadrian C. Seeman

Authors
  1. Alessandra Carbone
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  2. Nadrian C. Seeman
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Editors and Affiliations

  1. University of South Florida, 4202 E. Fowler Ave, 33620, Tampa, Fl, USA

    Nataša Jonoska

  2. Institute of Mathematics of the Romanian Academy, PO Box 1-764, 014700, Bucureşti, Romania

    Gheorghe Păun

  3. Leiden Center of Advanced Computer Science (LIACS), Leiden University, Niels Bohrweg 1, 2333, Leiden, CA, The Netherlands

    Grzegorz Rozenberg

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Carbone, A., Seeman, N.C. (2003). Molecular Tiling and DNA Self-assembly. In: Jonoska, N., Păun, G., Rozenberg, G. (eds) Aspects of Molecular Computing. Lecture Notes in Computer Science, vol 2950. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-24635-0_5

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  • DOI: https://doi.org/10.1007/978-3-540-24635-0_5

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-20781-8

  • Online ISBN: 978-3-540-24635-0

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