Collective Deformation Modes Promote Fibrous Self-Assembly in Deformable Particles

The self-assembly of particles into organized structures is a key feature of living organisms and a major engineering challenge. While it may proceed through the binding of perfectly matched, puzzle-piece-like particles, many other instances involve ill-fitting particles that must deform to fit toge...

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Main Authors: Hugo Le Roy, M. Mert Terzi, Martin Lenz
Format: Article
Language:English
Published: American Physical Society 2025-02-01
Series:Physical Review X
Online Access:http://doi.org/10.1103/PhysRevX.15.011022
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author Hugo Le Roy
M. Mert Terzi
Martin Lenz
author_facet Hugo Le Roy
M. Mert Terzi
Martin Lenz
author_sort Hugo Le Roy
collection DOAJ
description The self-assembly of particles into organized structures is a key feature of living organisms and a major engineering challenge. While it may proceed through the binding of perfectly matched, puzzle-piece-like particles, many other instances involve ill-fitting particles that must deform to fit together. These include some pathological proteins, which have a known propensity to form fibrous aggregates. Despite this observation, the general relationship between the individual characteristics of the particles and the overall structure of the aggregate is not understood. To elucidate it, we analytically and numerically study the self-assembly of two-dimensional, deformable ill-fitting particles. We find that moderately sticky particles tend to form equilibrium self-limited aggregates whose size is set by an elastic boundary layer associated with collective deformations that may extend over many particles. Particles with a soft internal deformation mode thus give rise to large aggregates. In addition, when the particles are incompressible, their aggregates tend to be anisotropic and fiberlike. Our results are preserved in a more complex particle model with randomly chosen elastic properties. This indicates that generic proteinlike characteristics such as allostery and incompressibility could favor the formation of fibers in protein aggregation, and suggests design principles for artificial self-assembling structures.
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spelling doaj-art-7a3296f3ca8743b8b90716520ea537972025-02-04T18:50:49ZengAmerican Physical SocietyPhysical Review X2160-33082025-02-0115101102210.1103/PhysRevX.15.011022Collective Deformation Modes Promote Fibrous Self-Assembly in Deformable ParticlesHugo Le RoyM. Mert TerziMartin LenzThe self-assembly of particles into organized structures is a key feature of living organisms and a major engineering challenge. While it may proceed through the binding of perfectly matched, puzzle-piece-like particles, many other instances involve ill-fitting particles that must deform to fit together. These include some pathological proteins, which have a known propensity to form fibrous aggregates. Despite this observation, the general relationship between the individual characteristics of the particles and the overall structure of the aggregate is not understood. To elucidate it, we analytically and numerically study the self-assembly of two-dimensional, deformable ill-fitting particles. We find that moderately sticky particles tend to form equilibrium self-limited aggregates whose size is set by an elastic boundary layer associated with collective deformations that may extend over many particles. Particles with a soft internal deformation mode thus give rise to large aggregates. In addition, when the particles are incompressible, their aggregates tend to be anisotropic and fiberlike. Our results are preserved in a more complex particle model with randomly chosen elastic properties. This indicates that generic proteinlike characteristics such as allostery and incompressibility could favor the formation of fibers in protein aggregation, and suggests design principles for artificial self-assembling structures.http://doi.org/10.1103/PhysRevX.15.011022
spellingShingle Hugo Le Roy
M. Mert Terzi
Martin Lenz
Collective Deformation Modes Promote Fibrous Self-Assembly in Deformable Particles
Physical Review X
title Collective Deformation Modes Promote Fibrous Self-Assembly in Deformable Particles
title_full Collective Deformation Modes Promote Fibrous Self-Assembly in Deformable Particles
title_fullStr Collective Deformation Modes Promote Fibrous Self-Assembly in Deformable Particles
title_full_unstemmed Collective Deformation Modes Promote Fibrous Self-Assembly in Deformable Particles
title_short Collective Deformation Modes Promote Fibrous Self-Assembly in Deformable Particles
title_sort collective deformation modes promote fibrous self assembly in deformable particles
url http://doi.org/10.1103/PhysRevX.15.011022
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AT mmertterzi collectivedeformationmodespromotefibrousselfassemblyindeformableparticles
AT martinlenz collectivedeformationmodespromotefibrousselfassemblyindeformableparticles