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We present an analytically solvable model for self-assembly of a molecular complex on a filament. The process is driven by a seed molecule that undergoes facilitated diffusion, which is a search strategy that combines diffusion in…

Statistical Mechanics · Physics 2015-11-04 Ziya Kalay

In this paper, we explore the feasibility of using coarse-grained models to simulate the self-assembly of DNA nanostructures. We introduce a simple model of DNA where each nucleotide is represented by two interaction sites corresponding to…

Soft Condensed Matter · Physics 2009-10-07 Thomas E. Ouldridge , Iain G. Johnston , Ard A. Louis , Jonathan P. K. Doye

We present a new simulation technique to study systems of polymers functionalized by reactive sites that bind/unbind forming reversible linkages. Functionalized polymers feature self-assembly and responsive properties that are unmatched by…

Soft Condensed Matter · Physics 2018-04-18 Bernardo Oyarzún , Bortolo Matteo Mognetti

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…

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

Algorithmic self-assembly, a generalization of crystal growth processes, has been proposed as a mechanism for autonomous DNA computation and for bottom-up fabrication of complex nanostructures. A `program' for growing a desired structure…

Materials Science · Physics 2010-01-08 Rebecca Schulman , Erik Winfree

We present a phase-field model based on the Cahn-Hilliard equation to investigate the properties of phase separation in DNA nanostar systems. Leveraging a realistic free-energy functional derived from Wertheim theory, our model captures the…

Soft Condensed Matter · Physics 2025-04-23 Marco Cappa , Francesco Sciortino , Lorenzo Rovigatti

Because of DNA appealing features as perfect material, including minuscule size, defined structural repeat and rigidity, programmable DNA-mediated processing is a promising computing paradigm, which employs DNAs as information storing and…

Biological Physics · Physics 2015-08-17 Jian-Jun Shu , Qi-Wen Wang , Kian-Yan Yong , Fangwei Shao , Kee Jin Lee

Found in all eukaryotic cells, linker histones H1 are known to bind to and rearrange nucleosomal linker DNA. In vitro, the fundamental nature of H1/DNA interactions has attracted wide interest among research communities - for biologists…

Biological Physics · Physics 2010-08-12 Rolf Dootz , Adriana Cristina Toma , Thomas Pfohl

Understanding multibody interactions between colloidal particles out of equilibrium has a profound impact on dynamical processes such as colloidal self assembly. However, traditional colloidal interactions are effectively quasi-static on…

Soft Condensed Matter · Physics 2023-03-17 Yaxin Xu , Kyu Hwan Choi , Sachit G. Nagella , Sho C. Takatori

Within the framework of a discrete Gaussian model, we present analytical results for the interaction induced by a lamellar phase between small embedded colloids. We consider the two limits of particles strongly adherent to the adjacent…

We introduce a method for solving the "inverse" phase equilibria problem: How should the interactions among a collection of molecular species be designed in order to achieve a target phase diagram? Using techniques from convex optimization…

Soft Condensed Matter · Physics 2023-06-06 Fan Chen , William M. Jacobs

Cells operate in part by compartmentalizing chemical reactions. For example, recent work has shown that chromatin, the material that contains the cell's genome, can auto-regulate its structure by utilizing reaction products (proteins, RNA)…

Soft Condensed Matter · Physics 2024-10-30 Sam Wilken , Gabrielle R. Abraham , Omar A. Saleh

We use a coarse-grained model of DNA-functionalized particles to understand the role of DNA chain length on their self-assembly. We find that the increasing chain length for a given particle size decreases the propensity to form ordered…

Soft Condensed Matter · Physics 2020-01-07 Runfang Mao , Jeetain Mittal

The phase behavior of charged rods in the presence of inter-rod linkers is studied theoretically as a model for the equilibrium behavior underlying the organization of actin filaments by linker proteins in the cytoskeleton. The presence of…

Soft Condensed Matter · Physics 2016-08-31 Itamar Borukhov , Robijn F. Bruinsma , William M. Gelbart , Andrea J. Liu

Self-assembly is a phenomenon observed in nature at all scales where autonomous entities build complex structures, without external influences nor centralised master plan. Modelling such entities and programming correct interactions among…

Computational Complexity · Computer Science 2013-09-26 German Terrazas , Hector Zenil , Natalio Krasnogor

We study the structural and thermodynamic properties of patchy particle liquids, with a special focus on the role of "color", i.e. specific interactions between individual patches. A possible experimental realization of such "chromatic"…

Soft Condensed Matter · Physics 2015-07-22 Oleg A. Vasilyev , Boris A. Klumov , Alexei V. Tkachenko

The dynamics of particles interacting by key-lock binding of attached biomolecules are studied theoretically. Experimental realizations of such systems include colloids grafted with complementary single-stranded DNA (ssDNA), and particles…

Soft Condensed Matter · Physics 2009-11-13 Nicholas A. Licata , Alexei V. Tkachenko

In this paper we study aggregation kinetics in systems of particles functionalised by complementary linkers. Most of the coarse-grained models currently employed to study large-scale self-assembly of these systems rely on effective…

Soft Condensed Matter · Physics 2018-12-24 S. J. Bachmann , M. Petitzon , B. M. Mognetti

We propose a two-body spherically symmetric (isotropic) potential such that particles interacting by the potential self assemble into linear semiflexible polymeric chains without branching. By suitable control of the potential parameters we…

Soft Condensed Matter · Physics 2018-05-09 Alex Abraham , Apratim Chatterji
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