Self-assembly of a filament by curvature-inducing proteins
We explore a simplified macroscopic model of membrane shaping by means of curvature-sensing BAR proteins. Equations describing the interplay between the shape of a freely floating filament in a fluid and the adhesion kinetics of proteins are derived from mechanical principles. The constant curvature...
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| Format: | Journal article |
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Elsevier
2016
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| _version_ | 1826269282453946368 |
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| author | Kwiecinski, J Chapman, S Goriely, A |
| author_facet | Kwiecinski, J Chapman, S Goriely, A |
| author_sort | Kwiecinski, J |
| collection | OXFORD |
| description | We explore a simplified macroscopic model of membrane shaping by means of curvature-sensing BAR proteins. Equations describing the interplay between the shape of a freely floating filament in a fluid and the adhesion kinetics of proteins are derived from mechanical principles. The constant curvature solutions that arise from this system are studied using weakly nonlinear analysis. We show that the stability of the filament’s shape is completely characterized by the parameters associated with protein recruitment and establish that in the bistable regime, proteins aggregate on the filament forming regions of high and low curvature. This pattern formation is then followed by phase-coarsening that resolves on a time-scale dependent on protein diffusion and drift across the filament, which contend to smooth and maintain the pattern respectively. The model is generalized for multiple species of BAR proteins and we show that the stability of the assembled shape is determined by a competition between proteins attaching on opposing sides. |
| first_indexed | 2024-03-06T21:22:38Z |
| format | Journal article |
| id | oxford-uuid:41fc75b9-faf5-4a25-9c97-aa5db173cd6f |
| institution | University of Oxford |
| last_indexed | 2024-03-06T21:22:38Z |
| publishDate | 2016 |
| publisher | Elsevier |
| record_format | dspace |
| spelling | oxford-uuid:41fc75b9-faf5-4a25-9c97-aa5db173cd6f2022-03-26T14:46:49ZSelf-assembly of a filament by curvature-inducing proteinsJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:41fc75b9-faf5-4a25-9c97-aa5db173cd6fSymplectic Elements at OxfordElsevier2016Kwiecinski, JChapman, SGoriely, AWe explore a simplified macroscopic model of membrane shaping by means of curvature-sensing BAR proteins. Equations describing the interplay between the shape of a freely floating filament in a fluid and the adhesion kinetics of proteins are derived from mechanical principles. The constant curvature solutions that arise from this system are studied using weakly nonlinear analysis. We show that the stability of the filament’s shape is completely characterized by the parameters associated with protein recruitment and establish that in the bistable regime, proteins aggregate on the filament forming regions of high and low curvature. This pattern formation is then followed by phase-coarsening that resolves on a time-scale dependent on protein diffusion and drift across the filament, which contend to smooth and maintain the pattern respectively. The model is generalized for multiple species of BAR proteins and we show that the stability of the assembled shape is determined by a competition between proteins attaching on opposing sides. |
| spellingShingle | Kwiecinski, J Chapman, S Goriely, A Self-assembly of a filament by curvature-inducing proteins |
| title | Self-assembly of a filament by curvature-inducing proteins |
| title_full | Self-assembly of a filament by curvature-inducing proteins |
| title_fullStr | Self-assembly of a filament by curvature-inducing proteins |
| title_full_unstemmed | Self-assembly of a filament by curvature-inducing proteins |
| title_short | Self-assembly of a filament by curvature-inducing proteins |
| title_sort | self assembly of a filament by curvature inducing proteins |
| work_keys_str_mv | AT kwiecinskij selfassemblyofafilamentbycurvatureinducingproteins AT chapmans selfassemblyofafilamentbycurvatureinducingproteins AT gorielya selfassemblyofafilamentbycurvatureinducingproteins |