Numerical Study of Membrane Configurations

We studied biological membranes of spherical topology within the framework of the spontaneous curvature model. Both Monte Carlo simulations and the numerical minimization of the curvature energy were used to obtain the shapes of the vesicles. The shapes of the vesicles and their energy were calculat...

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Main Authors: Luka Mesarec, Miha Fošnarič, Samo Penič, Veronika Kralj Iglič, Samo Kralj, Wojciech Góźdź, Aleš Iglič
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:Advances in Condensed Matter Physics
Online Access:http://dx.doi.org/10.1155/2014/373674
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spelling doaj-68cb19329824439eb90809640dcdfa792020-11-24T23:54:19ZengHindawi LimitedAdvances in Condensed Matter Physics1687-81081687-81242014-01-01201410.1155/2014/373674373674Numerical Study of Membrane ConfigurationsLuka Mesarec0Miha Fošnarič1Samo Penič2Veronika Kralj Iglič3Samo Kralj4Wojciech Góźdź5Aleš Iglič6Laboratory of Biophysics, Faculty of Electrical Engineering, University of Ljubljana, Tržaška 25, SI-1000 Ljubljana, SloveniaLaboratory of Biophysics, Faculty of Electrical Engineering, University of Ljubljana, Tržaška 25, SI-1000 Ljubljana, SloveniaLaboratory of Biophysics, Faculty of Electrical Engineering, University of Ljubljana, Tržaška 25, SI-1000 Ljubljana, SloveniaLaboratory of Biophysics, Faculty of Electrical Engineering, University of Ljubljana, Tržaška 25, SI-1000 Ljubljana, SloveniaDepartment of Physics, Faculty of Natural Sciences and Mathematics, University of Maribor, Koroška Cesta 160, SI-2000 Maribor, SloveniaInstitute of Physical Chemistry, Polish Academy of Sciences, Kasprzaka 44/52, 01-224 Warsaw, PolandLaboratory of Biophysics, Faculty of Electrical Engineering, University of Ljubljana, Tržaška 25, SI-1000 Ljubljana, SloveniaWe studied biological membranes of spherical topology within the framework of the spontaneous curvature model. Both Monte Carlo simulations and the numerical minimization of the curvature energy were used to obtain the shapes of the vesicles. The shapes of the vesicles and their energy were calculated for different values of the reduced volume. The vesicles which exhibit in-plane ordering were also studied. Minimal models have been developed in order to study the orientational ordering in colloids coated with a thin sheet of nematic liquid crystal (nematic shells). The topological defects are always present on the surfaces with the topology of a sphere. The location of the topological defects depends strongly on the curvature of the surface. We studied the nematic ordering and the formation of topological defects on vesicles obtained by the minimization of the spontaneous curvature energy.http://dx.doi.org/10.1155/2014/373674
collection DOAJ
language English
format Article
sources DOAJ
author Luka Mesarec
Miha Fošnarič
Samo Penič
Veronika Kralj Iglič
Samo Kralj
Wojciech Góźdź
Aleš Iglič
spellingShingle Luka Mesarec
Miha Fošnarič
Samo Penič
Veronika Kralj Iglič
Samo Kralj
Wojciech Góźdź
Aleš Iglič
Numerical Study of Membrane Configurations
Advances in Condensed Matter Physics
author_facet Luka Mesarec
Miha Fošnarič
Samo Penič
Veronika Kralj Iglič
Samo Kralj
Wojciech Góźdź
Aleš Iglič
author_sort Luka Mesarec
title Numerical Study of Membrane Configurations
title_short Numerical Study of Membrane Configurations
title_full Numerical Study of Membrane Configurations
title_fullStr Numerical Study of Membrane Configurations
title_full_unstemmed Numerical Study of Membrane Configurations
title_sort numerical study of membrane configurations
publisher Hindawi Limited
series Advances in Condensed Matter Physics
issn 1687-8108
1687-8124
publishDate 2014-01-01
description We studied biological membranes of spherical topology within the framework of the spontaneous curvature model. Both Monte Carlo simulations and the numerical minimization of the curvature energy were used to obtain the shapes of the vesicles. The shapes of the vesicles and their energy were calculated for different values of the reduced volume. The vesicles which exhibit in-plane ordering were also studied. Minimal models have been developed in order to study the orientational ordering in colloids coated with a thin sheet of nematic liquid crystal (nematic shells). The topological defects are always present on the surfaces with the topology of a sphere. The location of the topological defects depends strongly on the curvature of the surface. We studied the nematic ordering and the formation of topological defects on vesicles obtained by the minimization of the spontaneous curvature energy.
url http://dx.doi.org/10.1155/2014/373674
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