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Topological defects produce kinks in biopolymer filament bundles
Bundles of stiff filaments are ubiquitous in the living world, found both in the cytoskeleton and in the extracellular medium. These bundles are typically held together by smaller cross-linking molecules. We demonstrate, analytically, numerically, and experimentally, that such bundles can be kinked,...
Autores principales: | , , , , , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
National Academy of Sciences
2021
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8053966/ https://www.ncbi.nlm.nih.gov/pubmed/33876768 http://dx.doi.org/10.1073/pnas.2024362118 |
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author | Slepukhin, Valentin M. Grill, Maximilian J. Hu, Qingda Botvinick, Elliot L. Wall, Wolfgang A. Levine, Alex J. |
author_facet | Slepukhin, Valentin M. Grill, Maximilian J. Hu, Qingda Botvinick, Elliot L. Wall, Wolfgang A. Levine, Alex J. |
author_sort | Slepukhin, Valentin M. |
collection | PubMed |
description | Bundles of stiff filaments are ubiquitous in the living world, found both in the cytoskeleton and in the extracellular medium. These bundles are typically held together by smaller cross-linking molecules. We demonstrate, analytically, numerically, and experimentally, that such bundles can be kinked, that is, have localized regions of high curvature that are long-lived metastable states. We propose three possible mechanisms of kink stabilization: a difference in trapped length of the filament segments between two cross-links, a dislocation where the endpoint of a filament occurs within the bundle, and the braiding of the filaments in the bundle. At a high concentration of cross-links, the last two effects lead to the topologically protected kinked states. Finally, we explore, numerically and analytically, the transition of the metastable kinked state to the stable straight bundle. |
format | Online Article Text |
id | pubmed-8053966 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2021 |
publisher | National Academy of Sciences |
record_format | MEDLINE/PubMed |
spelling | pubmed-80539662021-05-04 Topological defects produce kinks in biopolymer filament bundles Slepukhin, Valentin M. Grill, Maximilian J. Hu, Qingda Botvinick, Elliot L. Wall, Wolfgang A. Levine, Alex J. Proc Natl Acad Sci U S A Physical Sciences Bundles of stiff filaments are ubiquitous in the living world, found both in the cytoskeleton and in the extracellular medium. These bundles are typically held together by smaller cross-linking molecules. We demonstrate, analytically, numerically, and experimentally, that such bundles can be kinked, that is, have localized regions of high curvature that are long-lived metastable states. We propose three possible mechanisms of kink stabilization: a difference in trapped length of the filament segments between two cross-links, a dislocation where the endpoint of a filament occurs within the bundle, and the braiding of the filaments in the bundle. At a high concentration of cross-links, the last two effects lead to the topologically protected kinked states. Finally, we explore, numerically and analytically, the transition of the metastable kinked state to the stable straight bundle. National Academy of Sciences 2021-04-13 2021-04-05 /pmc/articles/PMC8053966/ /pubmed/33876768 http://dx.doi.org/10.1073/pnas.2024362118 Text en Copyright © 2021 the Author(s). Published by PNAS. https://creativecommons.org/licenses/by-nc-nd/4.0/This open access article is distributed under Creative Commons Attribution-NonCommercial-NoDerivatives License 4.0 (CC BY-NC-ND) (https://creativecommons.org/licenses/by-nc-nd/4.0/) . |
spellingShingle | Physical Sciences Slepukhin, Valentin M. Grill, Maximilian J. Hu, Qingda Botvinick, Elliot L. Wall, Wolfgang A. Levine, Alex J. Topological defects produce kinks in biopolymer filament bundles |
title | Topological defects produce kinks in biopolymer filament bundles |
title_full | Topological defects produce kinks in biopolymer filament bundles |
title_fullStr | Topological defects produce kinks in biopolymer filament bundles |
title_full_unstemmed | Topological defects produce kinks in biopolymer filament bundles |
title_short | Topological defects produce kinks in biopolymer filament bundles |
title_sort | topological defects produce kinks in biopolymer filament bundles |
topic | Physical Sciences |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8053966/ https://www.ncbi.nlm.nih.gov/pubmed/33876768 http://dx.doi.org/10.1073/pnas.2024362118 |
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