A fluid-structure interaction model of the cell membrane deformation

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dc.contributor.author El Khatib, N.
dc.date.accessioned 2016-12-06T11:43:24Z
dc.date.available 2016-12-06T11:43:24Z
dc.date.copyright 2014 en_US
dc.date.issued 2016-12-06
dc.identifier.issn 0973-5348 en_US
dc.identifier.uri http://hdl.handle.net/10725/4886
dc.description.abstract 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. en_US
dc.language.iso en en_US
dc.title A fluid-structure interaction model of the cell membrane deformation en_US
dc.type Article en_US
dc.description.version Published en_US
dc.title.subtitle formation of a filopodium en_US
dc.author.school SAS en_US
dc.author.idnumber 201104930 en_US
dc.author.department Computer Science and Mathematics en_US
dc.description.embargo N/A en_US
dc.relation.journal Mathematical Modelling of Natural Phenomena en_US
dc.journal.volume 9 en_US
dc.journal.issue 1 en_US
dc.article.pages 27-38 en_US
dc.keywords Partial differential equations en_US
dc.keywords Cell membrane en_US
dc.keywords Fluid-structure interaction en_US
dc.keywords Numerical simulations en_US
dc.identifier.doi http://dx.doi.org/10.1051/mmnp/20149103 en_US
dc.identifier.ctation 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. en_US
dc.author.email nader.elkhatib@lau.edu.lb en_US
dc.identifier.tou http://libraries.lau.edu.lb/research/laur/terms-of-use/articles.php en_US
dc.identifier.url http://www.mmnp-journal.org/articles/mmnp/abs/2014/01/mmnp201491p27/mmnp201491p27.html en_US
dc.author.affiliation Lebanese American University en_US

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