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The development of novel strategies for self-assembly in the field of nanotechnology has witnessed remarkable progress in recent years. Here, we present a DNA-driven programmable self-assembly to fabricate the targeted nanophotonic…

We study the theoretical problem of synthesizing multiple DNA strands under spatial constraints, motivated by large-scale DNA synthesis technologies. In this setting, strands are arranged in an array and synthesized according to a fixed…

Information Theory · Computer Science 2026-01-14 Boaz Moav , Ryan Gabrys , Eitan Yaakobi

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…

One of the main goals of DNA nanotechnology is to provide a viable solution to the limitations of top-down approaches in microfabrication schemes. Although a completely practical bottom-up approach is yet to be realized, there has been…

Materials Science · Physics 2011-11-15 Junwye Lee , Sunho Kim , Junghoon Kim , Chang-Won Lee , Yonghan Roh , Sung Ha Park

We introduce a new DNA tile self-assembly model: the Surface Flexible Tile Assembly Model (SFTAM), where 2D tiles are placed on host 3D surfaces made of axis-parallel unit cubes glued together by their faces, called polycubes. The bonds are…

Discrete Mathematics · Computer Science 2023-06-19 Florent Becker , Shahrzad Heydarshahi

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

DNA nanostructures are made using synthetic DNA strands, the sequences of which are designed such that they will self-assemble into the desired form by hybridization of complementary domains. Various structures and devices have been…

Biological Physics · Physics 2015-06-02 Katherine E. Dunn

Recent experiments demonstrated that knots in single DNA strands can be formed by hydrodynamic compression in a nanochannel. In this letter, we further elucidate the underlying molecular mechanisms by carrying out a compression experiment…

Soft Condensed Matter · Physics 2021-11-23 Jan Rothörl , Sarah Wettermann , Peter Virnau , Aniket Bhattacharya

In this paper we present a model containing modifications to the Signal-passing Tile Assembly Model (STAM), a tile-based self-assembly model whose tiles are capable of activating and deactivating glues based on the binding of other glues.…

Emerging Technologies · Computer Science 2022-03-30 Andrew Alseth , Daniel Hader , Matthew J. Patitz

We present a general method for rendering representations of multi-stranded DNA complexes from textual descriptions into 2D diagrams. The complexes can be arbitrarily pseudoknotted, and if a planar rendering is possible, the method will…

Biomolecules · Quantitative Biology 2023-08-15 Malgorzata Nowicka , Vinay K. Gautam , Pekka Orponen

Transition metal dichalcogenides (TMDs) exhibit unique properties and potential applications when reduced to one-dimensional (1D) nanoribbons (NRs), owing to quantum confinement and high edge densities. However, effective growth methods for…

Two-dimensional (2D) materials have been studied extensively as monolayers 1-5, vertical or lateral heterostructures 6-8. To achieve functionalization, monolayers are often patterned using soft lithography and selectively decorated with…

Materials Science · Physics 2020-04-15 X Lin , JC Lu , Y Shao , YY Zhang , X Wu , JB Pan , L Gao , SY Zhu , K Qian , YF Zhang , DL Bao , LF Li , YQ Wang , ZL Liu , JT Sun , T Lei , C Liu , JO Wang , K Ibrahim , DN Leonard , W Zhou , HM Guo , YL Wang , SX Du , ST Pantelides , H-J Gao

Advances in DNA nanotechnology have stimulated the search for simple motifs that can be used to control the properties of DNA nanostructures. One such motif, which has been used extensively in structures such as polyhedral cages,…

Soft Condensed Matter · Physics 2015-06-10 John S. Schreck , Thomas E. Ouldridge , Flavio Romano , Ard A. Louis , Jonathan P. K. Doye

This project mathematically models the self-assembly of DNA nanostructures in the shape of select Archimedean graphs using the flexible tile model. Under three different sets of restrictions called scenarios, we employ principles of linear…

Biomolecules · Quantitative Biology 2025-04-04 Tabitha Merrithew , Jessica Sorrells

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

The Watson-Crick complementary properties of DNA make DNA a useful tool for the self-assembly of various target complexes. Concepts from graph theory can be used to model the self-assembling process in which the vertices of the graph…

Combinatorics · Mathematics 2023-02-28 Gabriel Lopez , Cory Johnson

Sophisticated statistical mechanics approaches and human intuition have demonstrated the possibility to self-assemble complex lattices or finite size constructs, but have mostly only been successful in silico. The proposed strategies quite…

Large pools of synthetic DNA molecules have been recently used to reliably store significant volumes of digital data. While DNA as a storage medium has enormous potential because of its high storage density, its practical use is currently…

Data Structures and Algorithms · Computer Science 2021-02-25 Konstantin Makarychev , Miklos Z. Racz , Cyrus Rashtchian , Sergey Yekhanin

A theoretical model which takes into account the structural distortion of double-crossover DNA tiles has been studied to investigate its effect on lattice formation sizes. It has been found that a single vector appropriately describes the…

Mesoscale and Nanoscale Physics · Physics 2011-05-12 Seungjae Kim , Junghoon Kim , Pengfei Qian , Jihoon Shin , Rashid Amin , Sang Jung Ahn , Thomas H. LaBean , Moon Ki Kim , Sung Ha Park

Simple elastic network models of DNA were developed to reveal the structure-dynamics relationships for several nucleotide sequences. First, we propose a simple all-atom elastic network model of DNA that can explain the profiles of…

Biological Physics · Physics 2016-02-17 Shuhei Isami , Naoaki Sakamoto , Hiraku Nishimori , Akinori Awazu