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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
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The program-size complexity of self-assembled squares (extended abstract)
Molecular self-assembly gives rise to a great diversity of complex forms, from crystals and DNA helices to microtubules and holoenzymes. We study a formal model of pseudocrystalline self-assembly,Expand
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Control of DNA strand displacement kinetics using toehold exchange.
DNA is increasingly being used as the engineering material of choice for the construction of nanoscale circuits, structures, and motors. Many of these enzyme-free constructions function by DNA strandExpand
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Complexity of Self-Assembled Shapes
The connection between self-assembly and computation suggests that a shape can be considered the output of a self-assembly program, a set of tiles that fit together to create a shape. It seemsExpand
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Proofreading Tile Sets: Error Correction for Algorithmic Self-Assembly
For robust molecular implementation of tile-based algorithmic self-assembly, methods for reducing errors must be developed. Previous studies suggested that by control of physical conditions, such asExpand
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Design and self-assembly of two-dimensional DNA crystals
Molecular self-assembly presents a ‘bottom-up’ approach to the fabrication of objects specified with nanometre precision. DNA molecular structures and intermolecular interactions are particularlyExpand
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Algorithmic Self-Assembly of DNA Sierpinski Triangles
Algorithms and information, fundamental to technological and biological organization, are also an essential aspect of many elementary physical phenomena, such as molecular self-assembly. Here weExpand
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Scaling Up Digital Circuit Computation with DNA Strand Displacement Cascades
Scalability and noise control are demonstrated in a molecular computer built from DNA. To construct sophisticated biochemical circuits from scratch, one needs to understand how simple the buildingExpand
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Enzyme-Free Nucleic Acid Logic Circuits
Biological organisms perform complex information processing and control tasks using sophisticated biochemical circuits, yet the engineering of such circuits remains ineffective compared with that ofExpand
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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
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