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Self-assembly is a key process in living systems - from the microscopic biological level (e.g. assembly of proteins into fibrils within biomolecular condensates in a human cell) through to the macroscopic societal level (e.g. assembly of…

Biological Physics · Physics 2023-12-15 Pedro D. Manrique , Frank Yingjie Huo , Sara El Oud , Neil F. Johnson

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

The intricate three-dimensional geometries of protein tertiary structures underlie protein function and emerge through a folding process from one-dimensional chains of amino acids. The exact spatial sequence and configuration of amino…

Biomolecules · Quantitative Biology 2021-02-24 Nora Molkenthin , Steffen Mühle , Antonia S J S Mey , Marc Timme

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

Controlling the self-assembly of supramolecular structures is vital for living cells, and a central challenge for engineering at the nano- and microscales. Nevertheless, even particles without optimized shapes can robustly form well-defined…

Soft Condensed Matter · Physics 2018-03-09 Martin Lenz , Thomas A. Witten

Self-assembly materials are traditionally designed so that molecular or meso-scale components form a single kind of large structure. Here, we propose a scheme to create "multifarious assembly mixtures", which self-assemble many different…

Disordered Systems and Neural Networks · Physics 2015-06-22 Arvind Murugan , Zorana Zeravcic , Michael P. Brenner , Stanislas Leibler

In this work, we discovered a fundamental connection between selection for protein stability and emergence of preferred structures of proteins. Using standard exact 3-dimensional lattice model we evolve sequences starting from random ones…

Genomics · Quantitative Biology 2007-05-23 Konstantin B. Zeldovich , Igor N. Berezovsky , Eugene I. Sha

Proteins contain a large fraction of regular, repeating conformations, called secondary structure. A simple, generic definition of secondary structure is presented which consists of measuring local correlations along the protein chain.…

Condensed Matter · Physics 2009-10-22 Nicholas D. Socci , William S. Bialek , Jose' Nelson Onuchic

Proteinaceous aggregation occurs through self-assembly-- a process not entirely understood. In a recent article [1], an analytical theory for amyloid fibril growth via secondary rather than primary nucleation was presented. Remarkably, with…

Biological Physics · Physics 2010-06-16 Barry D. Ganapol

In contrast to most self-assembling synthetic materials, which undergo unbounded growth, many biological self-assembly processes are self-limited. That is, the assembled structures have one or more finite dimensions that are much larger…

Soft Condensed Matter · Physics 2022-05-25 Huang Fang , Botond Tyukodi , W. Benjamin Rogers , Michael F. Hagan

Proteins, by virtue of their central role in most biological processes, represent one of the key subjects of the study of molecular evolution. Inherent to the indispensability of proteins for living cells is the fact that a given protein…

Biomolecules · Quantitative Biology 2007-05-23 Eric J. Deeds , Eugene I. Shakhnovich

Spontaneous self-assembly in molecular systems is a fundamental route to both biological and engineered soft matter. Simple micellisation, emulsion formation, and polymer mixing principles are well understood. However, the principles behind…

Soft Condensed Matter · Physics 2021-09-21 Alberto Scacchi , Sousa Javan Nikkhah , Maria Sammalkorpi , Tapio Ala-Nissila

The analysis of the three-dimensional structure of proteins is an important topic in molecular biochemistry. Structure plays a critical role in defining the function of proteins and is more strongly conserved than amino acid sequence over…

Applications · Statistics 2015-01-19 Abel Rodriguez , Scott C. Schmidler

We introduce a simple "patchy particle" model to study the thermodynamics and dynamics of self-assembly of homomeric protein complexes. Our calculations allow us to rationalize recent results for dihedral complexes. Namely, why evolution of…

The impact of confinement on self-assembly of particles interacting with short-range attraction and long-range repulsion (SALR) potential is studied for thermodynamic states corresponding to local ordering of clusters or layers in the bulk.…

Soft Condensed Matter · Physics 2014-11-17 Jakub Pękalski , Alina Ciach , Noé G. Almarza

The self-assembly of molecules at surfaces can be caused by a range of physical mechanisms. Assembly can be driven by intermolecular forces, or molecule-surface forces, or both; it can result in structures that are in equilibrium or that…

Statistical Mechanics · Physics 2016-03-22 Stephen Whitelam

Assembly of protein complexes like virus shells, the centriole, the nuclear pore complex or the actin cytoskeleton is strongly determined by their spatial structure. Moreover it is becoming increasingly clear that the reversible nature of…

Subcellular Processes · Quantitative Biology 2014-05-13 Heinrich C. R. Klein , Ulrich S. Schwarz

The native state structures of globular proteins are stable and well-packed indicating that self-interactions are favored over protein-solvent interactions under folding conditions. We use this as a guiding principle to derive the geometry…

Biomolecules · Quantitative Biology 2021-07-14 Tatjana Škrbić , Amos Maritan , Achille Giacometti , George D. Rose , Jayanth R. Banavar

In geometrically frustrated assemblies, equilibrium self-limitation manifests in the form of a minimum in the free energy per subunit at a finite, multi-subunit size which results from the competition between the elastic costs of…

Soft Condensed Matter · Physics 2023-08-15 Michael Wang , Gregory Grason

Self-assembly is one of the prevalent strategies used by living systems to fabricate ensembles of precision nanometer-scale structures and devices. The push for analogous approaches to create synthetic nanomaterials has led to the…