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» Compact Error-Resilient Computational DNA Tiling Assemblies
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2010
Tsinghua U.
13 years 9 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
13 years 10 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
13 years 11 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»
14 years 13 hour 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»
13 years 6 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