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Combinatorial optimization problems in self-assembly

by Leonard Adleman, Ashish Goel, Pablo Moisset De Espanés - In Proceedings of the thiry-fourth annual ACM symposium on Theory of computing , 2002
"... Self-assembly is the ubiquitous process by which simple objects autonomously assemble into intricate complexes. It has been suggested that intricate self-assembly processes will ultimately be used in circuit fabrication, nano-robotics, DNA computation, and amorphous computing. In this paper, we stud ..."
Abstract - Cited by 43 (4 self) - Add to MetaCart
Self-assembly is the ubiquitous process by which simple objects autonomously assemble into intricate complexes. It has been suggested that intricate self-assembly processes will ultimately be used in circuit fabrication, nano-robotics, DNA computation, and amorphous computing. In this paper, we

Two computational primitives for algorithmic self-assembly: Copying and counting

by Robert D. Barish, Paul W. K. Rothemund, Erik Winfree - Nano Letters , 2005
"... Copying and counting are useful primitive operations for computation and construction. We have made DNA crystals that copy and crystals that count as they grow. For counting, 16 oligonucleotides assemble into four DNA Wang tiles that subsequently crystallize on a polymeric nucleating scaffold strand ..."
Abstract - Cited by 68 (5 self) - Add to MetaCart
strand, arranging themselves in a binary counting pattern that could serve as a template for a molecular electronic demultiplexing circuit. Although the yield of counting crystals is low, and per-tile error rates in such crystals is roughly 10%, this work demonstrates the potential of algorithmic self-assembly

Toward a Mathematical Theory of Self-Assembly (Extended Abstract)

by L.M. Adleman , 1999
"... October, 1999 Leonard M. Adleman University of Southern California Abstract Self-assembly is the ubiquitous process by which objects autonomously assemble into complexes. Nature provides many examples: Atoms react to form molecules. Molecules react to form crystals and supramolecules. Cells some ..."
Abstract - Cited by 74 (6 self) - Add to MetaCart
sometimes coalesce to form organisms. Even heavenly bodies self-assemble into astronomical systems. It has been suggested that self-assembly will ultimately become an important technology, enabling the fabrication of great quantities of small complex objects such as computer circuits. Recent developments

The Design of DNA Self-Assembled Computing Circuitry

by Chris Dwyer, Ra Vicci, Senior Member, John Poulton, Senior Member, Dorothy Erie, Richard Superfine, Sean Washburn, Russell M. Taylor - IEEE Transactions on VLSI , 2004
"... Abstract—We present a design methodology for a nanoscale selfassembling fabrication process that uses the specificity of DNA hybridization to guide the formation of electrical circuitry. Custom design software allows us to specify the function of a structure in a way similar to that used by VLSI cir ..."
Abstract - Cited by 8 (5 self) - Add to MetaCart
face-serial assembly order we can specify an unambiguous assembly sequence for a structure of any size with only 15 unique DNA sequences. Index Terms—Associative memories, computer architecture, DNA self-assembly, nanoelectronics, parallel processing.

Parallel computation using active self-assembly

by Moya Chen, Doris Xin, Damien Woods
"... We study the computational complexity of the recently proposed nubots model of molecular-scale self-assembly. The model generalizes asynchronous cellular automaton to have non-local movement where large assemblies of molecules can be moved around, analogous to millions of molecular motors in animal ..."
Abstract - Cited by 4 (1 self) - Add to MetaCart
We study the computational complexity of the recently proposed nubots model of molecular-scale self-assembly. The model generalizes asynchronous cellular automaton to have non-local movement where large assemblies of molecules can be moved around, analogous to millions of molecular motors

1 Challenges and Applications for Self-Assembled

by Dna Nanostructures, John H. Reif, Thomas H. Labean, Nadrian C. Seeman
"... Abstract. DNA self-assembly is a methodology for the construction of molecular scale structures. In this method, arti cially synthesized single stranded DNA self-assemble into DNA crossover molecules (tiles). These DNA tiles have sticky ends that preferentially match the sticky ends of certain other ..."
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lattices to these objects) as a substrate for: (a) layout of molecular electronic circuit components, (b) surface chemistry, for example ultra compact annealing arrays, (c) molecular robotics; for manipulation of molecules using molecular motor devices. DNA self-assembly can, using only a small number

Self-Assembled Carbon Nanotubes for Electronic Circuit and Device Applications

by Nicolas A. Bruque, Khairul Alam, Rajeev R. P, Roger K. Lake, James P. Lewis, Xu Wang, Fei Liu, Cengiz S. Ozkan, Mihrimah Ozkan, Kang L. Wang , 2006
"... Functionalized, self-assembled carbon nanotubes are discussed in relation to electronic devices, circuits, and architectures. A computational approach is described using density functional theory coupled with nonequilibrium Green function theory for modeling the device electrical properties. While m ..."
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Functionalized, self-assembled carbon nanotubes are discussed in relation to electronic devices, circuits, and architectures. A computational approach is described using density functional theory coupled with nonequilibrium Green function theory for modeling the device electrical properties. While

Covert Multi-party Computation

by Nishanth Ch
"... In STOC’05, Ahn, Hopper and Langford introduced the notion of covert computation. A covert computation protocol is one in which parties can run a protocol without knowing if other parties are also participating in the protocol or not. At the end of the protocol, if all parties participated in the pr ..."
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In STOC’05, Ahn, Hopper and Langford introduced the notion of covert computation. A covert computation protocol is one in which parties can run a protocol without knowing if other parties are also participating in the protocol or not. At the end of the protocol, if all parties participated

Computer-Aided Design for DNA Self-Assembly: Process and Applications

by unknown authors
"... Abstract — CAD plays a fundamental role in both top-down and bottom-up system fabrication. This paper presents a bottom-up circuit patterning process based on DNA selfassembly in terms of the design tool requirements and the new opportunities self-assembly creates for circuit designers. The paper al ..."
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Abstract — CAD plays a fundamental role in both top-down and bottom-up system fabrication. This paper presents a bottom-up circuit patterning process based on DNA selfassembly in terms of the design tool requirements and the new opportunities self-assembly creates for circuit designers. The paper

Self-assembly of single electron transistors and related devices

by Daniel L. Feldheim A, Christine D. Keating B
"... For the past 40 years, since the invention of the integrated circuit, the number of transistors on a computer chip has doubled roughly every 18 months. As the limits of photolithography are rapidly approached, however, it is becoming clear that continued increases in circuit density will require fai ..."
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For the past 40 years, since the invention of the integrated circuit, the number of transistors on a computer chip has doubled roughly every 18 months. As the limits of photolithography are rapidly approached, however, it is becoming clear that continued increases in circuit density will require
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