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On Times to Compute Shapes in 2D Tile Self-assembly

  • Yuliy Baryshnikov
  • Ed Coffman
  • Boonsit Yimwadsana
Part of the Lecture Notes in Computer Science book series (LNCS, volume 4287)

Abstract

We study the times to grow structures within the tile self-assembly model proposed by Winfree, and the possible shapes that can be achieved during the self-assembly. Our earlier work was confined to the growth of rectangular structures, in which the border tiles are prefabricated. By varying the relative rates between the border-tile and rule-tile attachment, one can engineer interesting new shapes, which have been observed in the laboratory. We show that the results from an extension of our earlier stochastic models agree remarkably closely with experimental results. This is an important further demonstration of the validity and usefulness of our stochastic models, which have also been used successfully in studies of error correction in DNA self assembly.

Keywords

Attachment Rate Boundary Growth Positive Lattice Intermediate Shape Extremal Path 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2006

Authors and Affiliations

  • Yuliy Baryshnikov
    • 1
  • Ed Coffman
    • 2
  • Boonsit Yimwadsana
    • 2
  1. 1.Bell LabsLucent TechnologiesMurray HillUSA
  2. 2.Department of Electrical EngineeringColumbia UniversityUSA

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