Stress relaxation through crosslink unbinding in cytoskeletal networks

The mechanical properties of cells are dominated by the cytoskeleton, an interconnected network of long elastic filaments. The connections between the filaments are provided by crosslinking proteins, which constitute, next to the filaments, the second important mechanical element of the network. An...

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Main Author: C Heussinger
Format: Article
Language:English
Published: IOP Publishing 2012-01-01
Series:New Journal of Physics
Online Access:https://doi.org/10.1088/1367-2630/14/9/095029
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author C Heussinger
author_facet C Heussinger
author_sort C Heussinger
collection DOAJ
description The mechanical properties of cells are dominated by the cytoskeleton, an interconnected network of long elastic filaments. The connections between the filaments are provided by crosslinking proteins, which constitute, next to the filaments, the second important mechanical element of the network. An important aspect of cytoskeletal assemblies is their dynamic nature, which allows remodeling in response to external cues. The reversible nature of crosslink binding is an important mechanism that underlies these dynamical processes. Here, we develop a theoretical model that provides us insight into how the mechanical properties of cytoskeletal networks may depend on their underlying constituting elements. We incorporate three important ingredients: non-affine filament deformations in response to network strain; the interplay between filament and crosslink mechanical properties; and reversible crosslink (un)binding in response to the imposed stress. With this we are able to self-consistently calculate the nonlinear modulus of the network as a function of deformation amplitude and crosslink as well as filament stiffnesses. During loading, crosslink unbinding processes lead to a relaxation of stress and therefore to a reduction of the network modulus and eventually to network failure, when all crosslinks are unbound. This softening due to crosslink unbinding generically competes with an inherent stiffening response, which may be due to either filament or crosslink nonlinear elasticity.
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spelling doaj.art-bea6693500c847d9be43ded873e9aee12023-08-08T11:03:09ZengIOP PublishingNew Journal of Physics1367-26302012-01-0114909502910.1088/1367-2630/14/9/095029Stress relaxation through crosslink unbinding in cytoskeletal networksC Heussinger0Institute for Theoretical Physics, Georg-August-Universität Göttingen , Friedrich-Hund-Platz 1, 37077 Göttingen, GermanyThe mechanical properties of cells are dominated by the cytoskeleton, an interconnected network of long elastic filaments. The connections between the filaments are provided by crosslinking proteins, which constitute, next to the filaments, the second important mechanical element of the network. An important aspect of cytoskeletal assemblies is their dynamic nature, which allows remodeling in response to external cues. The reversible nature of crosslink binding is an important mechanism that underlies these dynamical processes. Here, we develop a theoretical model that provides us insight into how the mechanical properties of cytoskeletal networks may depend on their underlying constituting elements. We incorporate three important ingredients: non-affine filament deformations in response to network strain; the interplay between filament and crosslink mechanical properties; and reversible crosslink (un)binding in response to the imposed stress. With this we are able to self-consistently calculate the nonlinear modulus of the network as a function of deformation amplitude and crosslink as well as filament stiffnesses. During loading, crosslink unbinding processes lead to a relaxation of stress and therefore to a reduction of the network modulus and eventually to network failure, when all crosslinks are unbound. This softening due to crosslink unbinding generically competes with an inherent stiffening response, which may be due to either filament or crosslink nonlinear elasticity.https://doi.org/10.1088/1367-2630/14/9/095029
spellingShingle C Heussinger
Stress relaxation through crosslink unbinding in cytoskeletal networks
New Journal of Physics
title Stress relaxation through crosslink unbinding in cytoskeletal networks
title_full Stress relaxation through crosslink unbinding in cytoskeletal networks
title_fullStr Stress relaxation through crosslink unbinding in cytoskeletal networks
title_full_unstemmed Stress relaxation through crosslink unbinding in cytoskeletal networks
title_short Stress relaxation through crosslink unbinding in cytoskeletal networks
title_sort stress relaxation through crosslink unbinding in cytoskeletal networks
url https://doi.org/10.1088/1367-2630/14/9/095029
work_keys_str_mv AT cheussinger stressrelaxationthroughcrosslinkunbindingincytoskeletalnetworks