On times to compute shapes in 2D tile self-assembly

Yuliy Baryshnikov; Ed Coffman; Boonsit Yimwadsana

On times to compute shapes in 2D tile self-assembly

Yuliy Baryshnikov, Ed Coffman, Boonsit Yimwadsana

Research output: Contribution to conference › Paper › peer-review

Abstract

We study the times to grow structures within the tile self-assembly model proposed byWinfree, and the possible shapes that can be achieved. Our earlier work was confined to the growth of rectangular structures, in which the rates of attachment of border tiles and rule tiles were the same. By varying the relative rates 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.

Original language	English
Pages	204-208
Number of pages	5
Publication status	Published - Dec 1 2006
Externally published	Yes
Event	3rd Conference on Foundations of Nanoscience: Self-Assembled Architectures and Devices, FNANO 2006 - Snowbird, UT, United States Duration: Apr 23 2006 → Apr 27 2006

Conference

Conference	3rd Conference on Foundations of Nanoscience: Self-Assembled Architectures and Devices, FNANO 2006
Country/Territory	United States
City	Snowbird, UT
Period	4/23/06 → 4/27/06

All Science Journal Classification (ASJC) codes

Hardware and Architecture
Electrical and Electronic Engineering

Cite this

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AU - Coffman, Ed

AU - Yimwadsana, Boonsit

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N2 - We study the times to grow structures within the tile self-assembly model proposed byWinfree, and the possible shapes that can be achieved. Our earlier work was confined to the growth of rectangular structures, in which the rates of attachment of border tiles and rule tiles were the same. By varying the relative rates 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.

AB - We study the times to grow structures within the tile self-assembly model proposed byWinfree, and the possible shapes that can be achieved. Our earlier work was confined to the growth of rectangular structures, in which the rates of attachment of border tiles and rule tiles were the same. By varying the relative rates 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.

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Y2 - 23 April 2006 through 27 April 2006

ER -

On times to compute shapes in 2D tile self-assembly

Abstract

Conference

All Science Journal Classification (ASJC) codes

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