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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

Understanding the complex self-assembly of biomacromolecules is a major outstanding question. Microtubules are one example of a biopolymer that possesses characteristics quite distinct from standard synthetic polymers that are derived from…

Soft Condensed Matter · Physics 2013-01-10 Shengfeng Cheng , Ankush Aggarwal , Mark J. Stevens

The kinetics of the assembly of semiflexible filaments through end-to-end annealing is key to the structure of the cytoskeleton, but is not understood. We analyze this problem through scaling theory and simulations, and uncover a regime…

Soft Condensed Matter · Physics 2023-12-18 Valerio Sorichetti , Martin Lenz

The process of self-assembly is guided by the minimization of free energy, which limits the symmetries available for assembly and ultimately the usefulness of devices fabricated in this fashion. Here, we demonstrate experimentally for the…

The field of complex self-assembly is moving toward the design of multi-particle structures consisting of thousands of distinct building blocks. To exploit the potential benefits of structures with such `addressable complexity,' we need to…

Soft Condensed Matter · Physics 2015-06-02 William M. Jacobs , Aleks Reinhardt , Daan Frenkel

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

Three-dimensional shell-like structures can be obtained spontaneously at the microscale from the self-folding of 2D templates of rigid panels. At least for simple structures, the motion of each panel is consistent with a Brownian process…

Soft Condensed Matter · Physics 2021-02-18 T. S. A. N. Simões , H. P. M. Melo , N. A. M. Araújo

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

Biological systems often involve the self-assembly of basic components into complex and function- ing structures. Artificial systems that mimic such processes can provide a well-controlled setting to explore the principles involved and also…

Both biological and artificial self-assembly processes can take place by a range of different schemes, from the successive addition of identical building blocks, to hierarchical sequences of intermediates, all the way to the fully…

Soft Condensed Matter · Physics 2015-08-12 Jim Madge , Mark A. Miller

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

The hallmark feature of polymorphic systems is their ability to assemble into many possible structures at the same thermodynamic state. Designer polymorphic materials can in principle be engineered via programmable self-assembly, but the…

Soft Condensed Matter · Physics 2025-05-23 Fan Chen , William M. Jacobs

The simulated self-assembly of molecular building blocks into functional complexes is a key area of study in computational biology and materials science. Self-assembly simulations of proteins using physically-motivated potentials for…

Soft Condensed Matter · Physics 2025-09-03 Ivan Spirandelli , Arnur Nigmetov , Dmitriy Morozov , Myfanwy E. Evans

Furniture assembly is a crucial yet challenging task for robots, requiring precise dual-arm coordination where one arm manipulates parts while the other provides collaborative support and stabilization. To accomplish this task more…

Robotics · Computer Science 2026-01-19 Jiaqi Liang , Yue Chen , Qize Yu , Yan Shen , Haipeng Zhang , Hao Dong , Ruihai Wu

The design of irregular planar phased arrays (PAs) characterized by a highly-modular architecture is addressed. By exploiting the property of self-replicating tile shapes, also known as rep-tiles, the arising array layouts consist of tiles…

Signal Processing · Electrical Eng. & Systems 2023-04-19 Nicola Anselmi , Luca Tosi , Paolo Rocca , Giovanni Toso , Andrea Massa

Foams are versatile by nature and ubiquitous in a wide range of applications, including padding, insulation, and acoustic dampening. Previous work established that foams 3D printed via Viscous Thread Printing (VTP) can in principle combine…

We study two mechanisms for the formation of protein patterns near membranes of living cells by mathematical modelling. Self-assembly of protein domains by electrostatic lipid-protein interactions is contrasted with self-organization due to…

Cell Behavior · Quantitative Biology 2007-05-23 Karin John , Markus Baer

3D printing enables the fabrication of complex architectures by automating long sequences of additive steps. The increasing sophistication of printers, materials, and generative design promises to make geometric complexity a non-issue in…

Computational Engineering, Finance, and Science · Computer Science 2018-05-30 Matthew K. Gelber , Greg Hurst , Rohit Bhargava

Autonomous part assembly is a challenging yet crucial task in 3D computer vision and robotics. Analogous to buying an IKEA furniture, given a set of 3D parts that can assemble a single shape, an intelligent agent needs to perceive the 3D…

Computer Vision and Pattern Recognition · Computer Science 2020-12-24 Jialei Huang , Guanqi Zhan , Qingnan Fan , Kaichun Mo , Lin Shao , Baoquan Chen , Leonidas Guibas , Hao Dong

Hierarchically structured natural materials possess functionalities unattainable to the same components organized or mixed in simpler ways. For instance, the bones and teeth of mammals are far stronger and more durable than the mineral…

Soft Condensed Matter · Physics 2014-04-04 Thomas K. Haxton , Stephen Whitelam