The mechanics of phantom Mikado networks
The elasticity of networks comprised of semi-flexible polymers plays a vital role in regulating the mechanics of both intra- and extra-cellular matrices. The behaviour of this polymer scaffold will depend on the nature and density of cross-linking between constituent fibres. While modelling efforts...
| প্রধান লেখক: | , , |
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| বিন্যাস: | Journal article |
| প্রকাশিত: |
Institute of Physics
2018
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| _version_ | 1826304709576622080 |
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| author | Humphries, D Grogan, J Gaffney, EA |
| author_facet | Humphries, D Grogan, J Gaffney, EA |
| author_sort | Humphries, D |
| collection | OXFORD |
| description | The elasticity of networks comprised of semi-flexible polymers plays a vital role in regulating the mechanics of both intra- and extra-cellular matrices. The behaviour of this polymer scaffold will depend on the nature and density of cross-linking between constituent fibres. While modelling efforts have investigated the effects of cross-link density in biopolymer networks, this is often accompanied by changes in both the fibre density and the network structure. We investigate the elasticity of a quasi two-dimensional Mikado network of elastic rods, in which cross-link density is allowed to vary while polymer density is held constant. In particular, this model is extended by allowing constituent rods to cross without forming cross-links, while polymer density and network geometry are preserved. In doing so, the competing contributions to the shear modulus from cross-link density, mesh size, geometry and polymer density are decoupled. We find that previous scaling laws fail to capture the well-studied transition from bend- to stretch- dominated elasticity as cross-link density is varied. We identify a length scale which relates cross-link density to the transition between affine and nonaffine regimes, and which provides a collapse of simulation data curves for varying cross-link densities. |
| first_indexed | 2024-03-07T06:21:55Z |
| format | Journal article |
| id | oxford-uuid:f2fd2de9-6ce0-4f6f-8e4d-8dae85a4691b |
| institution | University of Oxford |
| last_indexed | 2024-03-07T06:21:55Z |
| publishDate | 2018 |
| publisher | Institute of Physics |
| record_format | dspace |
| spelling | oxford-uuid:f2fd2de9-6ce0-4f6f-8e4d-8dae85a4691b2022-03-27T12:08:31ZThe mechanics of phantom Mikado networksJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:f2fd2de9-6ce0-4f6f-8e4d-8dae85a4691bSymplectic Elements at OxfordInstitute of Physics2018Humphries, DGrogan, JGaffney, EAThe elasticity of networks comprised of semi-flexible polymers plays a vital role in regulating the mechanics of both intra- and extra-cellular matrices. The behaviour of this polymer scaffold will depend on the nature and density of cross-linking between constituent fibres. While modelling efforts have investigated the effects of cross-link density in biopolymer networks, this is often accompanied by changes in both the fibre density and the network structure. We investigate the elasticity of a quasi two-dimensional Mikado network of elastic rods, in which cross-link density is allowed to vary while polymer density is held constant. In particular, this model is extended by allowing constituent rods to cross without forming cross-links, while polymer density and network geometry are preserved. In doing so, the competing contributions to the shear modulus from cross-link density, mesh size, geometry and polymer density are decoupled. We find that previous scaling laws fail to capture the well-studied transition from bend- to stretch- dominated elasticity as cross-link density is varied. We identify a length scale which relates cross-link density to the transition between affine and nonaffine regimes, and which provides a collapse of simulation data curves for varying cross-link densities. |
| spellingShingle | Humphries, D Grogan, J Gaffney, EA The mechanics of phantom Mikado networks |
| title | The mechanics of phantom Mikado networks |
| title_full | The mechanics of phantom Mikado networks |
| title_fullStr | The mechanics of phantom Mikado networks |
| title_full_unstemmed | The mechanics of phantom Mikado networks |
| title_short | The mechanics of phantom Mikado networks |
| title_sort | mechanics of phantom mikado networks |
| work_keys_str_mv | AT humphriesd themechanicsofphantommikadonetworks AT groganj themechanicsofphantommikadonetworks AT gaffneyea themechanicsofphantommikadonetworks AT humphriesd mechanicsofphantommikadonetworks AT groganj mechanicsofphantommikadonetworks AT gaffneyea mechanicsofphantommikadonetworks |