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We propose a mathematical model of DNA self-assembly using 2D tiles to form 3D nanostructures. This is the first work to combine studies in self-assembly and nanotechnology in 3D, just as Rothemund and Winfree did in the 2D case. Our model…

Computational Complexity · Computer Science 2007-05-23 Ming-Yang Kao , Vijay Ramachandran

In the last two decades, DNA self-assembly has grown into a major area of research attracting people from diverse background. It has numerous potential applications such as targeted drug delivery, artificial photosynthesis etc. In the last…

Emerging Technologies · Computer Science 2017-02-15 Amay Agrawal , Birva Patel , Dixita Limbachiya , Manish K. Gupta

The rapid development of the DNA nanotechnology field has been facilitated by advances in CAD software. However, as more complex concepts arose, the lag between the needs and software capabilities appeared. Further derailed by manual…

Quantitative Methods · Quantitative Biology 2021-11-30 Samson Petrosyan , Grigory Tikhomirov

DNA self-assembly is an important tool that has a wide range of applications such as building nanostructures, the transport of target virotherapies, and nano-circuitry. Tools from graph theory can be used to encode the biological process of…

Combinatorics · Mathematics 2023-10-09 Cory Johnson , Andrew Lavengood-Ryan

Structural DNA nanotechnology has advanced to the extent that extremely complex structures can be designed. Much of this advancement has been due to the development of automated DNA design and simulation tools. Typically, the tools (e.g.…

Biomolecules · Quantitative Biology 2021-12-01 Durham Smith , Grigory Tikhomirov

DNA is an ideal candidate to organize matter on the nanoscale, primarily due to the specificity and complexity of DNA based interactions. Recent advances in this direction include the self-assembly of colloidal crystals using DNA grafted…

Soft Condensed Matter · Physics 2009-11-13 Nicholas A. Licata , Alexei V. Tkachenko

Branched junction molecule assembly of DNA nanostructures, pioneered by Seeman's laboratory in the 1980s, has become increasingly sophisticated, as have the assembly targets. A critical design step is finding minimal sets of branched…

Combinatorics · Mathematics 2021-08-03 Leyda Almodóvar , Jo Ellis-Monaghan , Amanda Harsy , Cory Johnson , Jessica Sorrells

The design space for a self-assembled multicomponent objects ranges from a solution in which every building block is unique to one with the minimum number of distinct building blocks that unambiguously define the target structure. Using a…

Soft Condensed Matter · Physics 2023-03-13 Joakim Bohlin , Andrew J. Turberfield , Ard A. Louis , Petr Šulc

The observation by Ke et al. [Science 338, 1177 (2012)] that large numbers of short, pre-designed DNA strands can assemble into three-dimensional target structures came as a great surprise, as no colloidal self-assembling system has ever…

Soft Condensed Matter · Physics 2014-06-12 Aleks Reinhardt , Daan Frenkel

The field of complex self-assembly is moving toward the design of multi-particle structures consisting of thousands of distinct building blocks. To exploit the potential benefits of structures with such `addressable complexity,' we need to…

Soft Condensed Matter · Physics 2015-06-02 William M. Jacobs , Aleks Reinhardt , Daan Frenkel

Manually authoring 3D shapes is difficult and time consuming; generative models of 3D shapes offer compelling alternatives. Procedural representations are one such possibility: they offer high-quality and editable results but are difficult…

Recent advancements in microbiology have motivated the study of the production of nanostructures with applications such as biomedical computing and molecular robotics. One way to construct these structures is to construct branched DNA…

Biological materials are self-assembled with near-atomic precision in living cells, whereas synthetic 3D structures generally lack such precision and controllability. Recently, DNA nanotechnology, especially DNA origami technology, has been…

We study the problem of the self-assembly of nanoparticles (NPs) into finite mesoscopic structures with a programmed local morphology and complex overall shape. Our proposed building blocks are NPs directionally-functionalized with DNA. The…

Soft Condensed Matter · Physics 2013-11-04 Jonathan D. Halverson , Alexei V. Tkachenko

DNA nanostructures with programmable shape and interactions can be used as building blocks for the self-assembly of crystalline materials with prescribed nanoscale features, holding a vast technological potential. Structural rigidity and…

Soft Condensed Matter · Physics 2019-01-30 Ryan A. Brady , William T. Kaufhold , Nicholas J. Brooks , Vito Foderà , Lorenzo Di Michele

Nearly thirty years after its inception, the field of DNA-programmed colloidal self-assembly has begun to realize its initial promise. In this review, we summarize recent developments in designing effective interactions and understanding…

Soft Condensed Matter · Physics 2025-05-08 William M. Jacobs , W. Benjamin Rogers

We study DNA self-assembly and DNA computation using a coarse-grained DNA model within the directional dynamic bonding framework {[}C. Svaneborg, Comp. Phys. Comm. 183, 1793 (2012){]}. In our model, a single nucleotide or domain is…

Soft Condensed Matter · Physics 2012-06-13 Carsten Svaneborg , Harold Fellermann , Steen Rasmussen

Engineering shape and interactions of nanoscopic building blocks allows for the assembly of rationally designed macroscopic three-dimensional (3D) materials with spatial accuracy inaccessible to top-down fabrication methods. Owing to its…

Self-assembly is a phenomenon observed in nature at all scales where autonomous entities build complex structures, without external influences nor centralised master plan. Modelling such entities and programming correct interactions among…

Computational Complexity · Computer Science 2013-09-26 German Terrazas , Hector Zenil , Natalio Krasnogor

Self-assembly is a process found everywhere in the Nature. In particular, it is known that DNA self-assembly is Turing universal. Thus one can do arbitrary computations or build nano-structures using DNA self-assembly. In order to…

Emerging Technologies · Computer Science 2016-07-14 Dixita Limbachiya , Dhaval Trivedi , Manish K Gupta
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