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TCS
2008
11 years 1 months ago
Nondeterministic polynomial time factoring in the tile assembly model
Formalized study of self-assembly has led to the definition of the tile assembly model, Previously I presented ways to compute arithmetic functions, such as addition and multiplic...
Yuriy Brun
TCS
2008
11 years 1 months ago
Solving NP-complete problems in the tile assembly model
Formalized study of self-assembly has led to the definition of the tile assembly model, a highly distributed parallel model of computation that may be implemented using molecules ...
Yuriy Brun
NC
2008
11 years 1 months ago
How crystals that sense and respond to their environments could evolve
An enduring mystery in biology is how a physical entity simple enough to have arisen spontaneously could have evolved into the complex life seen on Earth today. Cairns-Smith has pr...
Rebecca Schulman, Erik Winfree
JAL
2008
74views more  JAL 2008»
11 years 1 months ago
Solving satisfiability in the tile assembly model with a constant-size tileset
Biological systems are far more complex and robust than systems we can engineer today. One way to increase the complexity and robustness of our engineered systems is to study how ...
Yuriy Brun
CORR
2008
Springer
114views Education» more  CORR 2008»
11 years 3 months ago
Self-Assembly of Infinite Structures
We review some recent results related to the self-assembly of infinite structures in the Tile Assembly Model. These results include impossibility results, as well as novel tile as...
Matthew J. Patitz, Scott M. Summers
DNA
2009
Springer
194views Bioinformatics» more  DNA 2009»
11 years 5 months ago
A Domain-Specific Language for Programming in the Tile Assembly Model
We introduce a domain-specific language (DSL) for creating sets of tile types for simulations bstract Tile Assembly Model. The language defines objects known as tile templates, wh...
David Doty, Matthew J. Patitz
ICS
2010
Tsinghua U.
11 years 5 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
DNA
2003
Springer
122views Bioinformatics» more  DNA 2003»
11 years 6 months ago
Self-Assembled Circuit Patterns
Abstract. Self-assembly is a process in which basic units aggregate under attractive forces to form larger compound structures. Recent theoretical work has shown that pseudo-crysta...
Matthew Cook, Paul W. K. Rothemund, Erik Winfree
DNA
2005
Springer
113views Bioinformatics» more  DNA 2005»
11 years 7 months ago
A Self-assembly Model of Time-Dependent Glue Strength
Abstract Self-assembly is a ubiquitous process in which small objects selforganize into larger and complex structures. In 2000, Rothemund and Winfree proposed a Tile Assembly Model...
Sudheer Sahu, Peng Yin, John H. Reif
CIE
2007
Springer
11 years 7 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
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