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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

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 this study, a variational method for the inverse problem of self-assembly, i.e., a reconstruction of the interparticle interaction potential of a given structure, is applied to three-dimensional crystals. According to the method, the…

Soft Condensed Matter · Physics 2021-01-22 Masashi Torikai

Computational methods for designing interactions between colloidal particles that induce self-assembly have received much attention for their promise to discover tailored materials. However, it often remains a challenge to translate…

Soft Condensed Matter · Physics 2025-07-18 Beth Hsiao-Yen Wei , C. Levi Petix , Qizan Chen , Michael P. Howard , Jeetain Mittal

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…

Developing construction methods of materials tailored for given applications with absolute control over building block placement poses an immense challenge. DNA-coated colloids offer the possibility of realising programmable self-assembly,…

Soft Condensed Matter · Physics 2020-05-22 Xiuyang Xia , Hao Hu , Massimo Pica Ciamarra , Ran Ni

DNA-functionalized particles have great potential for the design of complex self-assembled materials. The major hurdle in realizing crystal structures from DNA-functionalized particles is expected to be kinetic barriers that trap the system…

Soft Condensed Matter · Physics 2015-03-06 Yajun Ding , Jeetain Mittal

Fabrication of diamond structures by self-assembly is a fundamental challenge in making three-dimensional photonic crystals. We simulate a system of model hard particles with attractive patches and show that they can self-assemble into a…

Statistical Mechanics · Physics 2012-01-18 Zhenli Zhang , Aaron S. Keys , Ting Chen , Sharon C. Glotzer

Self-assembly processes are widespread in nature, and lie at the heart of many biological and physical phenomena. The characteristics of self-assembly building blocks determine the structures that they form. Two crucial properties are the…

Soft Condensed Matter · Physics 2018-09-11 S. Tesoro , S. E. Ahnert , A. S. Leonard

The central dogma of molecular biology is the principal framework for understanding how nucleic acid information is propagated and used by living systems to create complex biomolecules. Here, by integrating the structural and dynamic…

Biological Physics · Physics 2018-10-04 Jihoon Shin , Junghoon Kim , Sung Ha Park , Tai Hwan Ha

We formulate statistical-mechanical inverse methods in order to determine optimized interparticle interactions that spontaneously produce target many-particle configurations. Motivated by advances that give experimentalists greater and…

Soft Condensed Matter · Physics 2007-05-23 Mikael C. Rechtsman , Salvatore Torquato , Frank H. Stillinger

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

We propose here a method to generate random networked amorphous structure using only readily available short-range properties like bond lengths, bond angles and connectivity of the constituents. This method is a variant of Monte-Carlo (MC)…

Materials Science · Physics 2022-05-26 Shakti Singh , Sharat Chandra

Here we present an approximate analytical theory for the relationship between a protein structure's contact matrix and the shape of its energy spectrum in amino acid sequence space. We demonstrate a dependence of the number of sequences of…

Soft Condensed Matter · Physics 2009-11-07 Jeremy L. England , Eugene I. Shakhnovich

A cornerstone of advanced materials design is establishing a framework for assembling nanoparticle superstructures with tailored symmetries. A longstanding challenge has been assembling diamond-like superstructures for photonic devices.…

The mechanical properties of DNA are typically described by elastic theories with purely local couplings (on-site models). We discuss and analyze coarse-grained (oxDNA) and all-atom simulations, which indicate that in DNA distal sites are…

Soft Condensed Matter · Physics 2021-04-21 Enrico Skoruppa , Aderik Voorspoels , Jocelyne Vreede , Enrico Carlon

We characterize the self-assembly of colloidal particles with surface mobile DNA linkers under kinetically limited valence conditions. For this, we put forward a computer simulation model that captures quantitatively the interplay between…

Soft Condensed Matter · Physics 2022-10-26 Pedro A. Sánchez , Alessio Caciagli , Sofia S. Kantorovich , Erika Eiser

Model off-lattice sequences in two dimensions are constructed so that their native states are close to an on-lattice target. The Hamiltonian involves the Lennard-Jones and harmonic interactions. The native states of these sequences are…

Soft Condensed Matter · Physics 2009-10-31 Mai Suan Li , Marek Cieplak

We present a modelling framework, and basic model parameterization, for the study of DNA origami folding at the level of DNA domains. Our approach is explicitly kinetic and does not assume a specific folding pathway. The binding of each…

We propose a novel method for the determination of the effective interaction potential between the amino acids of a protein. The strategy is based on the combination of a new optimization procedure and a geometrical argument, which also…

Soft Condensed Matter · Physics 2009-10-31 Jort van Mourik , Cecilia Clementi , Amos Maritan , Flavio Seno , J. R. Banavar