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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 investigate the role of nondeterminism in Winfree's abstract Tile Assembly Model (aTAM), which was conceived to model artificial molecular self-assembling systems constructed from DNA. Of particular practical importance is to find tile…

Computational Complexity · Computer Science 2010-11-29 Nathaniel Bryans , Ehsan Chiniforooshan , David Doty , Lila Kari , Shinnosuke Seki

Winfree's abstract Tile Assembly Model (aTAM) is a model of molecular self-assembly of DNA complexes known as tiles, which float freely in solution and attach one at a time to a growing "seed" assembly based on specific binding sites on…

Computational Complexity · Computer Science 2015-03-17 Ho-Lin Chen , David Doty , Shinnosuke Seki

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

The ability to rapidly manufacture building blocks with specific binding interactions is a key aspect of programmable assembly. Recent developments in DNA nanotechnology and colloidal particle synthesis have significantly advanced our…

Soft Condensed Matter · Physics 2024-03-06 Chrisy Xiyu Du , Hanyu Alice Zhang , Tanner Pearson , Jakin Ng , Paul McEuen , Itai Cohen , Michael P. Brenner

Colloidal molecules are designed to mimic their molecular analogues through their anisotropic shape and interactions. However, current experimental realizations are missing the structural flexibility present in real molecules thereby…

Motivation: RNA design aims to find RNA sequences that fold into a given target secondary structure, a problem also known as RNA inverse folding. However, not all target structures are designable. Recent advances in RNA designability have…

Data Structures and Algorithms · Computer Science 2026-04-28 Tianshuo Zhou , David H. Mathews , Liang Huang

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…

Protein structure prediction can be shown to be an NP-hard problem; the number of conformations grows exponentially with the number of residues. The native conformations of proteins occupy a very small subset of these, hence an exploratory,…

Chemical Physics · Physics 2008-02-03 Mehul M. Khimasia , Peter V. Coveney

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

We present an algorithm for generating all derivative superstructures--for arbitrary parent structures and for any number of atom types. This algorithm enumerates superlattices and atomic configurations in a geometry-independent way. The…

Materials Science · Physics 2014-12-18 Gus L. W. Hart , Rodney W. Forcade

Controlled synthesis of materials with specified atomic structures underpins technological advances yet remains reliant on iterative, trial-and-error approaches. Nanoparticles (NPs), whose atomic arrangement dictates their emergent…

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

In this paper, we propose a method to build molecular cages designed to capture a specific substrate. We model a cage as a graph of atoms with coordinates in space, and several constraints on their edges (degree, length and angle). We use a…

Data Structures and Algorithms · Computer Science 2026-04-14 Noé Demange , Yann Strozecki , Sandrine Vial

The self-assembly of polymer grafted nanoparticles is more and more used in the field of functional materials. However, there is still a lack of analysis on the dynamic transformation paths of different self-assembly morphologies, which…

Soft Condensed Matter · Physics 2026-02-09 Guoqing Meng , Liyuan Chen , Sihang Guo , Junxing Pan , Yingying Wang , Jinjun Zhang

In recent years significant attention has been attracted to proposals which utilize DNA for nanotechnological applications. Potential applications of these ideas range from the programmable self-assembly of colloidal crystals, to biosensors…

Soft Condensed Matter · Physics 2008-05-02 Nicholas A. Licata

Self-assembly is traditionally described as the process through which an initially disordered system relaxes towards an equilibrium ordered phase only driven by local interactions between its building blocks. However, This definition is too…

Soft Condensed Matter · Physics 2015-06-15 Lorenzo Di Michele , Francesco Varrato , Jurij Kotar , Simon H. Nathan , Giuseppe Foffi , Erika Eiser

Nanoparticles tethered with DNA strands are promising building blocks for bottom-up nanotechnology, and a theoretical understanding is important for future development. Here we build on approaches developed in polymer physics to provide…

Soft Condensed Matter · Physics 2014-11-03 Chia Wei Hsu , Francesco Sciortino , Francis W. Starr

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

Colloidal particles grafted with single-stranded DNA (ssDNA) chains can self-assemble into a number of different crystalline structures, where hybridization of the ssDNA chains creates links between colloids stabilizing their structure.…

Soft Condensed Matter · Physics 2015-06-17 Panagiotis E. Theodorakis , Nikolaos G. Fytas , Gerhard Kahl , Christoph Dellago
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