Redundancy and cooperativity in the mechanics of compositely crosslinked filamentous networks.

The cytoskeleton of living cells contains many types of crosslinkers. Some crosslinkers allow energy-free rotations between filaments and others do not. The mechanical interplay between these different crosslinkers is an open issue in cytoskeletal mechanics. Therefore, we develop a theoretical frame...

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Autores principales: Moumita Das, D A Quint, J M Schwarz
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Publicado: Public Library of Science (PLoS) 2012
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Acceso en línea:https://doaj.org/article/69501c83c008467c8360c09097b53be8
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spelling oai:doaj.org-article:69501c83c008467c8360c09097b53be82021-11-18T07:19:22ZRedundancy and cooperativity in the mechanics of compositely crosslinked filamentous networks.1932-620310.1371/journal.pone.0035939https://doaj.org/article/69501c83c008467c8360c09097b53be82012-01-01T00:00:00Zhttps://www.ncbi.nlm.nih.gov/pmc/articles/pmid/22590515/?tool=EBIhttps://doaj.org/toc/1932-6203The cytoskeleton of living cells contains many types of crosslinkers. Some crosslinkers allow energy-free rotations between filaments and others do not. The mechanical interplay between these different crosslinkers is an open issue in cytoskeletal mechanics. Therefore, we develop a theoretical framework based on rigidity percolation to study a generic filamentous system containing both stretching and bond-bending forces to address this issue. The framework involves both analytical calculations via effective medium theory and numerical simulations on a percolating triangular lattice with very good agreement between both. We find that the introduction of angle-constraining crosslinkers to a semiflexible filamentous network with freely rotating crosslinks can cooperatively lower the onset of rigidity to the connectivity percolation threshold-a result argued for years but never before obtained via effective medium theory. This allows the system to ultimately attain rigidity at the lowest concentration of material possible. We further demonstrate that introducing angle-constraining crosslinks results in mechanical behaviour similar to just freely rotating crosslinked semflexible filaments, indicating redundancy and universality. Our results also impact upon collagen and fibrin networks in biological and bio-engineered tissues.Moumita DasD A QuintJ M SchwarzPublic Library of Science (PLoS)articleMedicineRScienceQENPLoS ONE, Vol 7, Iss 5, p e35939 (2012)
institution DOAJ
collection DOAJ
language EN
topic Medicine
R
Science
Q
spellingShingle Medicine
R
Science
Q
Moumita Das
D A Quint
J M Schwarz
Redundancy and cooperativity in the mechanics of compositely crosslinked filamentous networks.
description The cytoskeleton of living cells contains many types of crosslinkers. Some crosslinkers allow energy-free rotations between filaments and others do not. The mechanical interplay between these different crosslinkers is an open issue in cytoskeletal mechanics. Therefore, we develop a theoretical framework based on rigidity percolation to study a generic filamentous system containing both stretching and bond-bending forces to address this issue. The framework involves both analytical calculations via effective medium theory and numerical simulations on a percolating triangular lattice with very good agreement between both. We find that the introduction of angle-constraining crosslinkers to a semiflexible filamentous network with freely rotating crosslinks can cooperatively lower the onset of rigidity to the connectivity percolation threshold-a result argued for years but never before obtained via effective medium theory. This allows the system to ultimately attain rigidity at the lowest concentration of material possible. We further demonstrate that introducing angle-constraining crosslinks results in mechanical behaviour similar to just freely rotating crosslinked semflexible filaments, indicating redundancy and universality. Our results also impact upon collagen and fibrin networks in biological and bio-engineered tissues.
format article
author Moumita Das
D A Quint
J M Schwarz
author_facet Moumita Das
D A Quint
J M Schwarz
author_sort Moumita Das
title Redundancy and cooperativity in the mechanics of compositely crosslinked filamentous networks.
title_short Redundancy and cooperativity in the mechanics of compositely crosslinked filamentous networks.
title_full Redundancy and cooperativity in the mechanics of compositely crosslinked filamentous networks.
title_fullStr Redundancy and cooperativity in the mechanics of compositely crosslinked filamentous networks.
title_full_unstemmed Redundancy and cooperativity in the mechanics of compositely crosslinked filamentous networks.
title_sort redundancy and cooperativity in the mechanics of compositely crosslinked filamentous networks.
publisher Public Library of Science (PLoS)
publishDate 2012
url https://doaj.org/article/69501c83c008467c8360c09097b53be8
work_keys_str_mv AT moumitadas redundancyandcooperativityinthemechanicsofcompositelycrosslinkedfilamentousnetworks
AT daquint redundancyandcooperativityinthemechanicsofcompositelycrosslinkedfilamentousnetworks
AT jmschwarz redundancyandcooperativityinthemechanicsofcompositelycrosslinkedfilamentousnetworks
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