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We explore the use of templated self-assembly to facilitate the formation of complex target structures made from patchy particles. First, we consider the templating of high-symmetry shell structures around a spherical core particle. We find…

Soft Condensed Matter · Physics 2013-06-25 Alexander J. Williamson , Alex W. Wilber , Jonathan P. K. Doye , Ard A. Louis

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

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

Nucleation is the rate-determining step in the kinetics of many self-assembly processes. However, the importance of nucleation in the kinetics of DNA-origami self-assembly, which involves both the binding of staple strands and the folding…

Soft Condensed Matter · Physics 2023-03-22 Alexander Cumberworth , Daan Frenkel , Aleks Reinhardt

We report on a molecular simulation method which captures the self-assembly of cationic lipid-DNA (CL-DNA) gene delivery complexes. Computational efficiency required for large length- and time-scale simulations is achieved through a…

Soft Condensed Matter · Physics 2007-05-23 Oded Farago , Niels Grønbech-Jensen , Philip Pincus

In the past decades, DNA has been intensely studied and exploited in different research areas of nanoscience and nanotechnology. At first glance, DNA-based nanophotonics seems to deviate quite far from the original goal of Nadrian Seeman,…

Biological Physics · Physics 2021-05-11 Na Liu

In this paper we introduce a new method to design interparticle interactions to target arbitrary crystal structures via the process of self-assembly. We show that it is possible to exploit the curvature of the crystal nucleation free-energy…

Soft Condensed Matter · Physics 2010-12-21 William L. Miller , Angelo Cacciuto

We propose a general framework for solving inverse self-assembly problems, i.e. designing interactions between elementary units such that they assemble spontaneously into a predetermined structure. Our approach uses patchy particles as…

Soft Condensed Matter · Physics 2022-07-13 John Russo , Flavio Romano , Lukas Kroc , Francesco Sciortino , Lorenzo Rovigatti , Petr Sulc

Earlier formulations of the DNA assembly problem were all in the context of perfect assembly; i.e., given a set of reads from a long genome sequence, is it possible to perfectly reconstruct the original sequence? In practice, however, it is…

Information Theory · Computer Science 2016-05-09 Ilan Shomorony , Govinda M. Kamath , Fei Xia , Thomas A. Courtade , David N. Tse

In $2013$ a novel self-assembly strategy for polypeptide nanostructure design which could lead to significant developments in biotechnology was presented in [Design of a single-chain polypeptide tetrahedron assembled from coiled-coil…

Combinatorics · Mathematics 2019-08-09 Jernej Rus

Reconstructing components of a genomic mixture from data obtained by means of DNA sequencing is a challenging problem encountered in a variety of applications including single individual haplotyping and studies of viral communities.…

Genomics · Quantitative Biology 2019-11-14 Ziqi Ke , Haris Vikalo

Ordered nanoarrays, i.e. regular patterns of quantum structures at the nanometre scale, have recently been synthesized in a wide range of systems. Here I explore a possible route to technological exploitation: assuming a simple form of…

Other Condensed Matter · Physics 2007-05-23 Simon C. Benjamin

Controlling the size and shape of assembled structures is a fundamental challenge in self-assembly, and is highly relevant in material design and biology. Here, we show that specific, but promiscuous, short-range binding interactions make…

Soft Condensed Matter · Physics 2025-07-08 Maximilian C. Hübl , Carl P. Goodrich

We ask the question of how small a self-assembling set of tiles can be yet have interesting computational behaviour. We study this question in a model where supporting walls are provided as an input structure for tiles to grow along: we…

Emerging Technologies · Computer Science 2021-06-24 Matthew Cook , Tristan Stérin , Damien Woods

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

Self-assembly is a process which is ubiquitous in natural, especially biological systems. It occurs when groups of relatively simple components spontaneously combine to form more complex structures. While such systems have inspired a large…

Computational Geometry · Computer Science 2018-07-19 Jerome Durand-Lose , Jacob Hendricks , Matthew J. Patitz , Ian Perkins , Michael Sharp

The self-assembly of DNA-coated colloids controlled by enzymatic reactions has the potential to enable the formation of materials with hierarchical organization and switchable configurations. However, the problem of designing such…

Experiments have reached a monumental capacity for designing and synthesizing microscopic particles for self-assembly, making it possible to precisely control particle concentrations, shapes, and interactions. However, more physical insight…

Soft Condensed Matter · Physics 2026-02-19 Maximilian C. Hübl , Thomas E. Videbæk , Daichi Hayakawa , W. Benjamin Rogers , Carl P. Goodrich

Molecular-scale computation is crucial for smart materials and nanoscale devices, yet creating single-molecule systems capable of complex computations remains challenging. We present a theoretical framework for a single-molecule computer…

Statistical Mechanics · Physics 2024-10-01 Zhongmin Zhang , Zhiyue Lu

The design of multi-stable RNA molecules has important applications in biology, medicine, and biotechnology. Synthetic design approaches profit strongly from effective in-silico methods, which can tremendously impact their cost and…

Quantitative Methods · Quantitative Biology 2018-06-24 Stefan Hammer , Yann Ponty , Wei Wang , Sebastian Will
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