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...
Autores principales: | , |
---|---|
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 |