Cargando…

The Effects of Intra-membrane Viscosity on Lipid Membrane Morphology: Complete Analytical Solution

We present a linear theory of lipid membranes which accommodates the effects of intra-membrane viscosity into the model of deformations. Within the Monge parameterization, a linearized version of the shape equation describing membrane morphology is derived. Admissible boundary conditions are taken f...

Descripción completa

Detalles Bibliográficos
Autores principales: Zeidi, Mahdi, Kim, Chun Il
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Nature Publishing Group UK 2018
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6110749/
https://www.ncbi.nlm.nih.gov/pubmed/30150612
http://dx.doi.org/10.1038/s41598-018-31251-6
_version_ 1783350527393792000
author Zeidi, Mahdi
Kim, Chun Il
author_facet Zeidi, Mahdi
Kim, Chun Il
author_sort Zeidi, Mahdi
collection PubMed
description We present a linear theory of lipid membranes which accommodates the effects of intra-membrane viscosity into the model of deformations. Within the Monge parameterization, a linearized version of the shape equation describing membrane morphology is derived. Admissible boundary conditions are taken from the existing non-linear model but reformulated and adopted to the present framework. We obtain a complete analytical expression illustrating the deformations of lipid membrane subjected to the influences of intra-membrane viscosity. The result predicts wrinkle phenomena in the event of membrane-substrate interactions. Finally, we mention that the obtained solutions reduce to those from the classical shape equation when the viscosity effects are removed.
format Online
Article
Text
id pubmed-6110749
institution National Center for Biotechnology Information
language English
publishDate 2018
publisher Nature Publishing Group UK
record_format MEDLINE/PubMed
spelling pubmed-61107492018-08-30 The Effects of Intra-membrane Viscosity on Lipid Membrane Morphology: Complete Analytical Solution Zeidi, Mahdi Kim, Chun Il Sci Rep Article We present a linear theory of lipid membranes which accommodates the effects of intra-membrane viscosity into the model of deformations. Within the Monge parameterization, a linearized version of the shape equation describing membrane morphology is derived. Admissible boundary conditions are taken from the existing non-linear model but reformulated and adopted to the present framework. We obtain a complete analytical expression illustrating the deformations of lipid membrane subjected to the influences of intra-membrane viscosity. The result predicts wrinkle phenomena in the event of membrane-substrate interactions. Finally, we mention that the obtained solutions reduce to those from the classical shape equation when the viscosity effects are removed. Nature Publishing Group UK 2018-08-27 /pmc/articles/PMC6110749/ /pubmed/30150612 http://dx.doi.org/10.1038/s41598-018-31251-6 Text en © The Author(s) 2018 Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons license, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons license and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/.
spellingShingle Article
Zeidi, Mahdi
Kim, Chun Il
The Effects of Intra-membrane Viscosity on Lipid Membrane Morphology: Complete Analytical Solution
title The Effects of Intra-membrane Viscosity on Lipid Membrane Morphology: Complete Analytical Solution
title_full The Effects of Intra-membrane Viscosity on Lipid Membrane Morphology: Complete Analytical Solution
title_fullStr The Effects of Intra-membrane Viscosity on Lipid Membrane Morphology: Complete Analytical Solution
title_full_unstemmed The Effects of Intra-membrane Viscosity on Lipid Membrane Morphology: Complete Analytical Solution
title_short The Effects of Intra-membrane Viscosity on Lipid Membrane Morphology: Complete Analytical Solution
title_sort effects of intra-membrane viscosity on lipid membrane morphology: complete analytical solution
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6110749/
https://www.ncbi.nlm.nih.gov/pubmed/30150612
http://dx.doi.org/10.1038/s41598-018-31251-6
work_keys_str_mv AT zeidimahdi theeffectsofintramembraneviscosityonlipidmembranemorphologycompleteanalyticalsolution
AT kimchunil theeffectsofintramembraneviscosityonlipidmembranemorphologycompleteanalyticalsolution
AT zeidimahdi effectsofintramembraneviscosityonlipidmembranemorphologycompleteanalyticalsolution
AT kimchunil effectsofintramembraneviscosityonlipidmembranemorphologycompleteanalyticalsolution