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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

Recent advances in Foundation Models for Materials Science are poised to revolutionize the discovery, manufacture, and design of novel materials with tailored properties and responses. Although great strides have been made, successes have…

Machine Learning · Computer Science 2025-06-16 Michael Buzzy , Andreas Robertson , Peng Chen , Surya Kalidindi

High-throughput computational materials design promises to greatly accelerate the process of discovering new materials and compounds, and of optimizing their properties. The large databases of structures and properties that result from…

Chemical Physics · Physics 2016-11-22 Sandip De , Felix Musil , Teresa Ingram , Carsten Baldauf , Michele Ceriotti

Many biological and synthetic materials self-assemble into helical or twisted aggregates. The shape is determined by a complex interplay between elastic forces and the orientation and chirality of the constituent molecules. We study this…

Soft Condensed Matter · Physics 2007-05-23 Robin L. B. Selinger , Jonathan V. Selinger , Anthony P. Malanoski , Joel M. Schnur

Using large deviation theory and principles of stochastic optimal control, we show that rare molecular dynamics trajectories conditioned on assembling a specific target structure encode a set of interactions and external forces that lead to…

Soft Condensed Matter · Physics 2021-01-14 Avishek Das , David T. Limmer

The use of reduced models for investigating the self-assembly dynamics underlying protein shell formation in spherical viruses is described. The spontaneous self-assembly of these polyhedral, supramolecular structures, in which icosahedral…

Soft Condensed Matter · Physics 2009-11-10 D. C. Rapaport

The kinetics of the self-assembly of nanocomponents into a virus, nanocapsule, or other composite structure is analyzed via a multiscale approach. The objective is to achieve predictability and to preserve key atomic-scale features that…

Chemical Physics · Physics 2015-05-18 Stephen Pankavich , Zeina Shreif , Yinglong Miao , Peter Ortoleva

The accurate assembly of the system matrix is an important step in any code that solves partial differential equations on a mesh. We either explicitly set up a matrix, or we work in a matrix-free environment where we have to be able to…

Mathematical Software · Computer Science 2020-06-19 Charles D. Murray , Tobias Weinzierl

Self-assembly is ubiquitous in nature, particularly in biology, where it underlies the formation of protein quaternary structure and protein aggregation. Quaternary structure assembles deterministically and performs a wide range of…

Emerging Technologies · Computer Science 2016-04-27 S. Tesoro , S. E. Ahnert

In the age of artificial intelligence and biotechnology, a unified understanding of technology and biology is critically needed but still lacking. A cornerstone of such unification is evolvable design. I present a formalism, called goal…

Physics and Society · Physics 2025-07-15 Dániel Czégel

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

We investigate general properties of non-deterministic self-assembly with asymmetric interactions, using a computational model and DNA tile assembly experiments. By contrasting symmetric and asymmetric interactions we show that the latter…

Soft Condensed Matter · Physics 2016-08-24 S. Tesoro , K. Göpfrich , T. Kartanas , U. F. Keyser , S. E. Ahnert

Structural hierarchy, in which materials possess distinct features on multiple length scales, is ubiquitous in nature; diverse biological materials, such as bone, cellulose, and muscle, have as many as ten hierarchical levels. Structural…

Soft Condensed Matter · Physics 2019-06-19 Jonathan Michel , Peter Yunker

Equilibrium self-assembly and conventional materials processing techniques fall far short of mimicking dynamic self-actuating processes that are commonplace throughout biology. To bridge the gap between living and synthetic matter, we study…

In this paper, we present high-level overviews of tile-based self-assembling systems capable of producing complex, infinite, aperiodic structures known as discrete self-similar fractals. Fractals have a variety of interesting mathematical…

Emerging Technologies · Computer Science 2016-12-26 Jacob Hendricks , Meagan Olsen , Matthew J. Patitz , Trent A. Rogers , Hadley Thomas

Isotropic pairwise interactions that promote the self assembly of complex particle morphologies have been discovered by inverse design strategies derived from the molecular coarse-graining literature. While such approaches provide an avenue…

Statistical Mechanics · Physics 2019-10-15 Beth A. Lindquist , Ryan B. Jadrich , Michael P. Howard , Thomas M. Truskett

Interaction between dipolar forces, such as permanent magnets, generally leads to the formation of one-dimensional chains and rings. We investigated whether it was possible to let dipoles self-assemble into three-dimensional structures by…

Applied Physics · Physics 2020-05-12 Leon Abelmann , Tijmen Hageman , Per Löthman , Massimo Mastrangeli , Miko Elwenspoek

In this paper we generalize a methodology [T. E. Ouldridge, A. A. Louis, and J. P. K. Doye, J. Phys.: Condens. Matter {\bf 22}, 104102 (2010)] for dealing with the inference of bulk properties from small simulations of self-assembling…

Soft Condensed Matter · Physics 2015-07-13 Thomas E. Ouldridge

Obtaining a rigorous and reliable method for linking computer simulations of polymer blends and composites at different length scales of interest is a highly desirable goal in soft matter physics. In this paper a multiscale modeling…

Soft Condensed Matter · Physics 2015-05-19 J. McCarty , M. G. Guenza

Allosteric interactions occur when binding at one part of a complex affects the interactions at another part. Allostery offers a high degree of control in multi-species processes, and these interactions play a crucial role in many…

Soft Condensed Matter · Physics 2025-07-14 Jakob Metson