A fluid-structure interaction model of the cell membrane deformation
In this paper we present a fluid-structure interaction model of neuron’s membrane deformation. The membrane-actin is considered as an elastic solid layer, while the cytoplasm is considered as a viscous fluid one. The membrane-actin layer is governed by elasticity equations while the cytoplasm is des...
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| Format: | article |
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2014
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| Online Access: | http://hdl.handle.net/10725/4886 http://dx.doi.org/10.1051/mmnp/20149103 http://libraries.lau.edu.lb/research/laur/terms-of-use/articles.php http://www.mmnp-journal.org/articles/mmnp/abs/2014/01/mmnp201491p27/mmnp201491p27.html |
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| _version_ | 1864513464890818560 |
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| author | El Khatib, N. |
| author_facet | El Khatib, N. |
| author_role | author |
| dc.creator.none.fl_str_mv | El Khatib, N. |
| dc.date.none.fl_str_mv | 2014 2016-12-06T11:43:24Z 2016-12-06T11:43:24Z 2016-12-06 |
| dc.identifier.none.fl_str_mv | 0973-5348 http://hdl.handle.net/10725/4886 http://dx.doi.org/10.1051/mmnp/20149103 El Khatib, N. (2014). A fluid-structure interaction model of the cell membrane deformation: formation of a filopodium. Mathematical Modelling of Natural Phenomena, 9(1), 27-38. http://libraries.lau.edu.lb/research/laur/terms-of-use/articles.php http://www.mmnp-journal.org/articles/mmnp/abs/2014/01/mmnp201491p27/mmnp201491p27.html |
| dc.language.none.fl_str_mv | en |
| dc.relation.none.fl_str_mv | Mathematical Modelling of Natural Phenomena |
| dc.rights.*.fl_str_mv | info:eu-repo/semantics/openAccess |
| dc.title.none.fl_str_mv | A fluid-structure interaction model of the cell membrane deformation formation of a filopodium |
| dc.type.none.fl_str_mv | Article info:eu-repo/semantics/publishedVersion info:eu-repo/semantics/article |
| description | In this paper we present a fluid-structure interaction model of neuron’s membrane deformation. The membrane-actin is considered as an elastic solid layer, while the cytoplasm is considered as a viscous fluid one. The membrane-actin layer is governed by elasticity equations while the cytoplasm is described by the Navier-Stokes equations. At the interface between the cytoplasm and the membrane we consider a match between the solid velocity displacement and the fluid velocity as well as the mechanical equilibrium. The membrane, which faces the extracellular medium, is free to move. This will change the geometry in time. To take into account the deformation of the initial configuration, we use the Arbitrary Lagrangian Eulerian method in order to take into account the mesh displacement. The numerical simulations, show the emergence of a filopodium, a typical structure in cells undergoing deformation. |
| eu_rights_str_mv | openAccess |
| format | article |
| id | LAURepo_3b2556bbca3e7236e51c020f5b21a14b |
| identifier_str_mv | 0973-5348 El Khatib, N. (2014). A fluid-structure interaction model of the cell membrane deformation: formation of a filopodium. Mathematical Modelling of Natural Phenomena, 9(1), 27-38. |
| language_invalid_str_mv | en |
| network_acronym_str | LAURepo |
| network_name_str | Lebanese American University repository |
| oai_identifier_str | oai:laur.lau.edu.lb:10725/4886 |
| publishDate | 2014 |
| repository.mail.fl_str_mv | |
| repository.name.fl_str_mv | |
| repository_id_str | |
| spelling | A fluid-structure interaction model of the cell membrane deformationformation of a filopodiumEl Khatib, N.In this paper we present a fluid-structure interaction model of neuron’s membrane deformation. The membrane-actin is considered as an elastic solid layer, while the cytoplasm is considered as a viscous fluid one. The membrane-actin layer is governed by elasticity equations while the cytoplasm is described by the Navier-Stokes equations. At the interface between the cytoplasm and the membrane we consider a match between the solid velocity displacement and the fluid velocity as well as the mechanical equilibrium. The membrane, which faces the extracellular medium, is free to move. This will change the geometry in time. To take into account the deformation of the initial configuration, we use the Arbitrary Lagrangian Eulerian method in order to take into account the mesh displacement. The numerical simulations, show the emergence of a filopodium, a typical structure in cells undergoing deformation.PublishedN/A2016-12-06T11:43:24Z2016-12-06T11:43:24Z20142016-12-06Articleinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article0973-5348http://hdl.handle.net/10725/4886http://dx.doi.org/10.1051/mmnp/20149103El Khatib, N. (2014). A fluid-structure interaction model of the cell membrane deformation: formation of a filopodium. Mathematical Modelling of Natural Phenomena, 9(1), 27-38.http://libraries.lau.edu.lb/research/laur/terms-of-use/articles.phphttp://www.mmnp-journal.org/articles/mmnp/abs/2014/01/mmnp201491p27/mmnp201491p27.htmlenMathematical Modelling of Natural Phenomenainfo:eu-repo/semantics/openAccessoai:laur.lau.edu.lb:10725/48862021-03-19T10:00:47Z |
| spellingShingle | A fluid-structure interaction model of the cell membrane deformation El Khatib, N. |
| status_str | publishedVersion |
| title | A fluid-structure interaction model of the cell membrane deformation |
| title_full | A fluid-structure interaction model of the cell membrane deformation |
| title_fullStr | A fluid-structure interaction model of the cell membrane deformation |
| title_full_unstemmed | A fluid-structure interaction model of the cell membrane deformation |
| title_short | A fluid-structure interaction model of the cell membrane deformation |
| title_sort | A fluid-structure interaction model of the cell membrane deformation |
| url | http://hdl.handle.net/10725/4886 http://dx.doi.org/10.1051/mmnp/20149103 http://libraries.lau.edu.lb/research/laur/terms-of-use/articles.php http://www.mmnp-journal.org/articles/mmnp/abs/2014/01/mmnp201491p27/mmnp201491p27.html |