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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…

DNA nanotechnology allows for the realization of complex nanoarchitectures in which the spatial arrangements of different constituents and most functions can be enabled by DNA. When optically active components are integrated in such…

Biological Physics · Physics 2021-05-10 Pengfei Zhan , Steffen Both , Thomas Weiss , Na Liu

Fabrication of DNA nanostructures primarily follows two fundamental rules. First, DNA oligonucleotides mutually combine by Watson-Crick base pairing rules between complementary base sequences. Second, the geometrical compatibility of the…

Mesoscale and Nanoscale Physics · Physics 2011-06-01 Jihoon Shin , Junghoon Kim , Rashid Amin , Seungjae Kim , Young Hun Kwon , Sung Ha Park

We consider the self-assembly of composite structures from a group of nanocomponents, each consisting of particles within an $N$-atom system. Self-assembly pathways and rates for nanocomposites are derived via a multiscale analysis of the…

Biological Physics · Physics 2014-01-06 Stephen Pankavich , Peter Ortoleva

In equilibrium self-assembly, microscopic building blocks spontaneously self-organize into stable structures as dictated by their interaction potentials, which limits the accessible structural features to those that correspond to global…

Soft Condensed Matter · Physics 2026-04-17 Pepijn G. Moerman , Chenghung Chou , Thomas E. Videbæk , W. Benjamin Rogers , Rebecca Schulman

DNA sequencing is the process of determining the exact order of the nucleotide bases of an individual's genome in order to catalogue sequence variation and understand its biological implications. Whole-genome sequencing techniques produce…

Data Structures and Algorithms · Computer Science 2015-09-18 Ljiljana Brankovic , Costas S. Iliopoulos , Ritu Kundu , Manal Mohamed , Solon P. Pissis , Fatima Vayani

DNA Self-Assembly has emerged as an interdisciplinary field with many intriguing applications such DNA bio-sensor, DNA circuits, DNA storage, drug delivery etc. Tile assembly model of DNA has been studied for various computational…

Emerging Technologies · Computer Science 2015-02-20 Shalin Shah , Parth Dave , Manish K Gupta

One of the challenges of self-assembling finite-sized colloidal aggregates with a sought morphology is the necessity of precisely sorting the position of the colloids at the microscopic scale to avoid the formation of off-target structures.…

Soft Condensed Matter · Physics 2020-01-31 Pritam Kumar Jana , Bortolo Matteo Mognetti

DNA nanoparticles with three-fold coordination have been observed to self-assemble in experiment into a network equivalent to the hexagonal (6.6.6) tiling, and a network equivalent to the 4.8.8 Archimedean tiling. Both networks are built…

Statistical Mechanics · Physics 2018-05-28 Zdenek Preisler , Barbara Sacca , Stephen Whitelam

Self-assembly is one of the most promising strategies for making functional materials at the nanoscale, yet new design principles for making self-limiting architectures, rather than spatially unlimited periodic lattice structures, are…

De novo genome assembly focuses on finding connections between a vast amount of short sequences in order to reconstruct the original genome. The central problem of genome assembly could be described as finding a Hamiltonian path through a…

Machine Learning · Computer Science 2020-11-11 Lovro Vrček , Petar Veličković , Mile Šikić

The monography examines the problem of constructing a group of automorphisms of a graph. A graph automorphism is a mapping of a set of vertices onto itself that preserves adjacency. The set of such automorphisms forms a vertex group of a…

History and Overview · Mathematics 2024-07-18 Sergey Kurapov , Maxim Davidovsky

Harnessing the intrinsic dynamics of physical systems for information processing opens new avenues for computation embodied in matter. Using simulations of a model system, we show that assemblies of DNA tiles capable of self-organizing into…

Soft Condensed Matter · Physics 2025-10-23 Tim E. Veenstra , René van Roij , Marjolein Dijkstra

We study theoretically a new generic scheme of programmable self-assembly of nanoparticles into clusters of desired geometry. The problem is motivated by the feasibility of highly selective DNA-mediated interactions between colloidal…

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

We present a modular DNA origami design approach to address the challenges of assembling geometrically complex nanoscale structures, including those with nonuniform Gaussian curvature. This approach features a core structure that completely…

Tile assembly systems in the abstract Tile Assembly Model (aTAM) are computationally universal and capable of building complex shapes, but DNA-based implementations encounter formidable error rates that stifle this theoretical potential.…

Computational Geometry · Computer Science 2024-05-13 Phillip Drake , Daniel Hader , Matthew J. Patitz

We consider a model of algorithmic self-assembly of geometric shapes out of square Wang tiles studied in SODA 2010, in which there are two types of tiles (e.g., constructed out of DNA and RNA material) and one operation that destroys all…

Computational Complexity · Computer Science 2010-07-09 Erik D. Demaine , Matthew J. Patitz , Robert T. Schweller , Scott M. Summers

This technical report deals with the concept of an artificial DNA which contains a blueprint of the structure and organization of an embedded system. This blueprint can be used to build up the embedded system in a self-organizing manner at…

Emerging Technologies · Computer Science 2017-07-25 Uwe Brinkschulte

The field of DNA nanotechnology has made it possible to assemble, with high yields, different structures that have actionable properties. For example, researchers have created components that can be actuated. An exciting next step is to…

Machine Learning · Computer Science 2021-02-01 Emma Benjaminson , Rebecca E. Taylor , Matthew Travers

Patchy colloids are promising candidates for building blocks in directed self-assembly. To be successful the surface patterns need to both be simple enough to be synthesized, while feature-rich enough to cause the colloids to self-assemble…

Soft Condensed Matter · Physics 2014-05-13 Erik Edlund , Oskar Lindgren , Martin Nilsson Jacobi