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Algorithmic Self-Assembly of DNA
Summary form only given. Nucleic acids have proven to be remarkably versatile as an engineering material for chemical tasks including the storage of information, catalyzing reactions creating andExpand
The program-size complexity of self-assembled squares (extended abstract)
TLDR
A formal model of pseudocrystalline self-assembly, called the Tile Assembly Model, in which a tile may be added to the growing object when the total interaction strength with its neighbors exceeds a parameter Τ is studied, which finds a dramatic decrease in complexity. Expand
Design and self-assembly of two-dimensional DNA crystals
TLDR
The design and observation of two-dimensional crystalline forms of DNA that self-assemble from synthetic DNA double-crossover molecules that create specific periodic patterns on the nanometre scale are reported. Expand
Proofreading Tile Sets: Error Correction for Algorithmic Self-Assembly
TLDR
It is shown that an improved construction can in principle exploit the cooperativity of tile assembly reactions to dramatically improve the scaling behavior to r ≈ βe and better, suggesting that existing DNA-based molecular tile approaches may be improved to produce macroscopic algorithmic crystals with few errors. Expand
Complexity of Self-Assembled Shapes
TLDR
It is shown that under the notion of a shape that is independent of scale this is indeed so: in the Tile Assembly Model, the minimal number of distinct tile types necessary to self-assemble an arbitrarily scaled shape can be bounded both above and below in terms of the shape's Kolmogorov complexity. Expand
Control of DNA strand displacement kinetics using toehold exchange.
TLDR
This work improves the understanding of the kinetics of nucleic acid reactions and will be useful in the rational design of dynamic DNA and RNA circuits and nanodevices. Expand
Scaling Up Digital Circuit Computation with DNA Strand Displacement Cascades
TLDR
This work experimentally demonstrated several digital logic circuits, culminating in a four-bit square-root circuit that comprises 130 DNA strands, which enables fast and reliable function in large circuits with roughly constant switching time and linear signal propagation delays. Expand
DNA as a universal substrate for chemical kinetics
TLDR
It is shown that systems of DNA molecules can be constructed that closely approximate the dynamic behavior of arbitrary systems of coupled chemical reactions, by using strand displacement reactions as a primitive, and systems implementing feedback digital logic and algorithmic behavior are illustrated. Expand
Simulations of Computing by Self-Assembly
Winfree (1996) proposed a Turing-universal model of DNA self-assembly. In this abstract model, DNA double-crossover molecules self-assemble to form an algorithmically-patterned two-dimensionalExpand
Algorithmic Self-Assembly of DNA Sierpinski Triangles
TLDR
This work reports the molecular realization, using two-dimensional self-assembly of DNA tiles, of a cellular automaton whose update rule computes the binary function XOR and thus fabricates a fractal pattern—a Sierpinski triangle—as it grows. Expand
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