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» Compact Error-Resilient Computational DNA Tiling Assemblies
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2010
Tsinghua U.
15 years 1 months ago
Memory Consistency Conditions for Self-Assembly Programming
: Perhaps the two most significant theoretical questions about the programming of self-assembling agents are: (1) necessary and sufficient conditions to produce a unique terminal a...
Aaron Sterling
CIE
2010
Springer
15 years 2 months ago
Approximate Self-assembly of the Sierpinski Triangle
The Tile Assembly Model is a Turing universal model that Winfree introduced in order to study the nanoscale self-assembly of complex (typically aperiodic) DNA crystals. Winfree ex...
Jack H. Lutz, Brad Shutters
CIE
2007
Springer
15 years 3 months ago
Strict Self-assembly of Discrete Sierpinski Triangles
Winfree (1998) showed that discrete Sierpinski triangles can self-assemble in the Tile Assembly Model. A striking molecular realization of this self-assembly, using DNA tiles a fe...
James I. Lathrop, Jack H. Lutz, Scott M. Summers
DNA
2009
Springer
100views Bioinformatics» more  DNA 2009»
15 years 4 months ago
Self-assembly of the Discrete Sierpinski Carpet and Related Fractals
It is well known that the discrete Sierpinski triangle can be defined as the nonzero residues modulo 2 of Pascal’s triangle, and that from this definition one can easily const...
Steven M. Kautz, James I. Lathrop
SODA
2008
ACM
108views Algorithms» more  SODA 2008»
14 years 11 months ago
Dimension augmentation and combinatorial criteria for efficient error-resistant DNA self-assembly
DNA self-assembly has emerged as a rich and promising primitive for nano-technology. Experimental and analytical evidence indicates that such systems are prone to errors, and acco...
Ho-Lin Chen, Ashish Goel, Chris Luhrs