| E. Winfree, F. Liu, L.A. Wenzler, and N.C. Seeman, "Design and Self-Assembly of Two-Dimensional DNA Crystals," Nature, vol. 394, pp. 539--544, 1998. |
.... [15, 5] the sticker DNA PNA model proposed by Roweis et al. 28, 4] the hairpin DNA model of Sakamoto et al. 29] the surface DNA model of Liu et al. 16] the enzymatic model of Rothemund [27] and of Benenseon et al. 3] and the two dimensional DNA self assembly model of Seeman and Winfree [33]. The objective of this paper is to explore further the minimum DNA computation model proposed and studied in our earlier papers [17, 19] The study of the minimum DNA computation model is motivated by the desire to clarify what computational power DNA has when the set of permissible operations ....
E. Winfree, F. Liu, L. A. Wenzler, and N. C. Seeman. Design and self-assembly of twodimensional DNA crystals. Nature, 394:539-544, 1998. 11
....at two points. Therefore, the tile is composed of four single stranded DNA molecules that self assemble. Double crossover molecules have four sticky ends, which each hybridize with the sticky end of another molecule (Fig. 3, right) Therefore, they can self assemble and form a planar structure [42]. This process of self assembly corresponds to allowing square tiles with colored edges to hybridize only if adjacent edges are of the same color (Fig. 3, upper left) As mentioned below, the process of tiling square tiles with colored edges is universal [43] because it can simulate execution of ....
Winfree, E., Liu, F., Wenzler, L.A., Seeman, N.C.: Design and self-assembly of two-dimensional DNA crystals, Nature 394, 539-544 (1998)
....that edges of the same color have to face each other [15] This can be intuitively understood by thinking of a given row of tiles as representing a state of the Turing machine while the color encoding plays the role of the matching rules. This shows that computing using Wang tiles is universal [16, 13]. 2.2 Physical Implementation of Wang Tiles Recent advances in the eld of materials science have enabled the experimental study of algorithmic selfassembly (abbreviated as ASA in the following) The rst system, studied by Rothemund [12] was made of tiles whose edges were coated with materials ....
E. Winfree, F. Liu, L.A. Wenzler, N.C. Seeman. Design and Self-Assembly of two-dimensional DNA Crystals. Nature, vol. 394, pages 539-544, 1998.
....automata were formed with an error rates of 2.8 . DNA systems, more technologically interesting than the plastic tile systems because of their size, are being actively pursued by at least two research groups and the problems of errors and controlled nucleation are being emphasized. Winfree et al. [22] demonstrated that (i) DNA strands can self assemble into 13 nanometers 4 nm 2 nm DNA tiles and (ii) that these tiles can further selfassemble into periodic crystals of approximately a quarter million tiles and several microns in size. Mao et al. 13] have reported the creation of small ....
E. Winfree, F. Liu, L. Wenzler, N. Seeman. Design and self-assembly of two-dimensional DNA crystals, 6 pages. (Nature 394, 539-544 (Aug. 6, 1998) Article)
....New Haven, CT 06520 8285, USA, kao ming yang cs.yale.edu. ## Supported by a 2001 National Defense Science and Engineering Graduate Fellowship. Combining these two technologies, several researchers have demonstrated the power of DNA self assembly in nanostructure fabrication. Winfree et al. [13] investigated how to use self assembly of DX molecules to build 2D lattice DNA crystals. Rothemund and Winfree [7] further proposed a mathematical model and a complexity measure for building such 2D structures. A natural extension of the seminal 2D results of Winfree et al. 13] and Rothemund and ....
....Winfree et al. 13] investigated how to use self assembly of DX molecules to build 2D lattice DNA crystals. Rothemund and Winfree [7] further proposed a mathematical model and a complexity measure for building such 2D structures. A natural extension of the seminal 2D results of Winfree et al. [13] and Rothemund and Winfree [7] would be the creation of 3D nanostructures using tiling. To initiate such an extension, this paper (1) proposes a general mathematical model for constructing 3D structures from 2D tiles; 2) identifies a set of biological and algorithmic issues basic to the ....
E. Winfree, F. Liu, L. A. Wenzler, and N. C. Seeman. Design and self-assembly of two-dimensional DNA crystals. Nature, 394:539--544, 1998.
....such as computer circuits from inexpensive components such as DNA and inorganic nanocrystals. Despite its importance, self assembly is poorly understood. Recently, work related to DNA computation has led to experimental systems for the investigation of self assembly and its relation to computation [8, 5, 3, 2]. In addition certain theoretical aspects of self assembly have been considered. Winfree [8, 9] proved that self assembling tile systems in a plane are capable of doing universal computation, and when restricted to a line are exactly as powerful as discrete finite automata. Adleman [1] proposed a ....
....its importance, self assembly is poorly understood. Recently, work related to DNA computation has led to experimental systems for the investigation of self assembly and its relation to computation [8, 5, 3, 2] In addition certain theoretical aspects of self assembly have been considered. Winfree [8, 9] proved that self assembling tile systems in a plane are capable of doing universal computation, and when restricted to a line are exactly as powerful as discrete finite automata. Adleman [1] proposed a mathematical model of self assembly and analyzed the time complexity of linear polymerization. ....
Erik Winfree, Furong Liu, Lisa A. Wenzler, and Nadrian C. Seeman. Design and self-assembly of two-dimensional DNA crystals. Nature, 394:539-544, 1998.
....provide EC strands which most closely match the error profiles for probe DNA synthesized on a chip. Other mutagenisis Methods used for more general computations are given in [KG98] DNA Self Assembly. It is also, in principle, possible to construct EC strands using a self assembly method [R97, WLW 98, WYS96, LYK 00, LWR99, RLS00, MLR 00] involving a universal base pairing nucleotide like inosine to generate diverse populations of prefixes. 3 Adapting to Biotechnology VQ Methods Used in Computer Science 3.1 VQ Coding Methods Used in Computer Science We next consider information theoretic ....
Winfree, E., F. Liu, Lisa A. Wenzler, N. C. Seeman, "Design and SelfAssembly of Two Dimensional DNA Crystals", Nature 394: 539--544, 1998. (1998).
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E. Winfree, F. Liu, L. A. Wenzler, and N. C. Seeman. Design and self-assembly of two-dimensional DNA crystalsnature. Nature, 394:539--544, 1998.
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Winfree, E., Liu, F., Wenzler, L. A. & Seeman, N.C. Design and self-assembly of two-dimensional DNA crystals. Nature 394, 539-544 (1998).
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E. Winfree, F. Liu, L.A. Wenzler, and N.C. Seeman, "Design and Self-Assembly of Two-Dimensional DNA Crystals," Nature, vol. 394, pp. 539--544, 1998.
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E. Winfree, F. Liu, L.A. Wenzler, and N.C. Seeman. Design and Self-Assembly of Two-Dimensional DNA Crystals. Nature, 394:539--544, 1998.
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Winfree, E., Liu, F.R., Wenzler, L.A., Seeman, N.C., 1998. Design and self-assembly of two-dimensional DNA crystals. Nature 394, 539-- 544.
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E. Winfree, F. Liu, L. Wenzler, N. Seeman, "Design and Self-assembly of Two-dimensional DNA Crystals", Nature, 394, pp. 539-544, 1998.
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E. Winfree, F. Liu, Lisa A. Wenzler, and N. C. Seeman. Design and self- assembly of two dimensional dna crystals. Nature, 394:539--544, 1998.
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Winfree, E.; Liu, F.; Wenzler, L.; Seeman, N.C. Design and self-assembly of two-dimensional DNA crystals. Nature 1998, 394(66934 539 -- 544.
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E. Winfree, F. Liu, L. Wenzler, and N. Seeman. Design and self-assembly of two-dimensional dna crystals, 6 pages. Nature, (394):539--544, Aug 1998.
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E. Winfree, F. Liu, L. Wenzler, and N. Seeman. Design and self-assembly of twodimensional dna crystals, 6 pages. Nature, (394):539--544, Aug 1998.
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E. Winfree, F. Liu, Lisa A. Wenzler, and N. C. Seeman. Design and self- assembly of two dimensional dna crystals. Nature, 394:539--544, 1998.
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E. Winfree, F. Liu, L. Wenzler, and N. Seeman. Design and self-assembly of two-dimensional dna crystals, 6 pages. Nature, (394):539--544, Aug 1998.
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E. Winfree, F. Liu, L. A. Wenzler, and N. C. Seeman. Design and self-assembly of two-dimensional DNA crystals. Nature, 394:539-544, 1998. 21
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E. Winfree, F. Liu, L. A. Wenzler, and N. C. Seeman. Design and self-assembly of two-dimensional DNA crystals. Nature, 394:539--544, 1998.
No context found.
Erik Winfree, Furong Liu, Lisa A. Wenzler, and Nadrian C. Seeman. Design and self-assembly of two-dimensional DNA crystals. Nature, 394:539-544, 1998.
No context found.
E. Winfree, F. Liu, L. Wenzler, and N. Seeman. Design and self-assembly of two-dimensional DNA crystals. Nature, (394):539--544, Aug 1998.
No context found.
E. Winfree, F. Liu, L. A. Wenzler, and N. C. Seeman. Design and self-assembly of two-dimensional DNA crystals. Nature, 394:539--544, 1998.
No context found.
E. Winfree, F. Liu, L. A. Wenzler, and N. C. Seeman. Design and self-assembly of two-dimensional DNA crystals. Nature, 394:539--544, 1998.
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