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Curvature correction to the mobility of fluid membrane inclusions
The European Physical Journal E, Volume: 39, Issue: 10
Swansea University Author:
Rob Daniels
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DOI (Published version): 10.1140/epje/i2016-16096-3
Abstract
For the first time, using rigorous low-Reynolds-number hydrodynamic theory on curved surfaces via a Stokeslet-type approach, we provide a general and concise expression for the leading-order curvature correction to the canonical, planar, Saffman-Delbrück value of the diffusion constant for a small i...
Published in: | The European Physical Journal E |
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ISSN: | 1292-8941 1292-895X |
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2016
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URI: | https://cronfa.swan.ac.uk/Record/cronfa30217 |
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2021-03-17T09:47:19.4855278 v2 30217 2016-09-26 Curvature correction to the mobility of fluid membrane inclusions 23f38c3bb732d4378986bdfaf7b6ee51 0000-0002-6933-8144 Rob Daniels Rob Daniels true false 2016-09-26 EAAS For the first time, using rigorous low-Reynolds-number hydrodynamic theory on curved surfaces via a Stokeslet-type approach, we provide a general and concise expression for the leading-order curvature correction to the canonical, planar, Saffman-Delbrück value of the diffusion constant for a small inclusion embedded in an arbitrarily (albeit weakly) curved fluid membrane. In order to demonstrate the efficacy and utility of this wholly general result, we apply our theory to the specific case of calculating the diffusion coefficient of a locally curvature inducing membrane inclusion. By including both the effects of inclusion and membrane elasticity, as well as their respective thermal shape fluctuations, excellent agreement is found with recently published experimental data on the surface tension dependent mobility of membrane bound inclusions. Journal Article The European Physical Journal E 39 10 1292-8941 1292-895X 31 10 2016 2016-10-31 10.1140/epje/i2016-16096-3 COLLEGE NANME Engineering and Applied Sciences School COLLEGE CODE EAAS Swansea University 2021-03-17T09:47:19.4855278 2016-09-26T10:36:14.2973343 Faculty of Science and Engineering School of Engineering and Applied Sciences - Biomedical Engineering Rob Daniels 0000-0002-6933-8144 1 0030217-07112016121110.pdf daniels2016(2).pdf 2016-11-07T12:11:10.3730000 Output 418196 application/pdf Version of Record true 2016-11-07T00:00:00.0000000 This is an open access article distributed under the terms of the Creative Commons Attribution License true https://creativecommons.org/licenses/by/4.0/ |
title |
Curvature correction to the mobility of fluid membrane inclusions |
spellingShingle |
Curvature correction to the mobility of fluid membrane inclusions Rob Daniels |
title_short |
Curvature correction to the mobility of fluid membrane inclusions |
title_full |
Curvature correction to the mobility of fluid membrane inclusions |
title_fullStr |
Curvature correction to the mobility of fluid membrane inclusions |
title_full_unstemmed |
Curvature correction to the mobility of fluid membrane inclusions |
title_sort |
Curvature correction to the mobility of fluid membrane inclusions |
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23f38c3bb732d4378986bdfaf7b6ee51 |
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23f38c3bb732d4378986bdfaf7b6ee51_***_Rob Daniels |
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Rob Daniels |
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Rob Daniels |
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The European Physical Journal E |
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39 |
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1292-8941 1292-895X |
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For the first time, using rigorous low-Reynolds-number hydrodynamic theory on curved surfaces via a Stokeslet-type approach, we provide a general and concise expression for the leading-order curvature correction to the canonical, planar, Saffman-Delbrück value of the diffusion constant for a small inclusion embedded in an arbitrarily (albeit weakly) curved fluid membrane. In order to demonstrate the efficacy and utility of this wholly general result, we apply our theory to the specific case of calculating the diffusion coefficient of a locally curvature inducing membrane inclusion. By including both the effects of inclusion and membrane elasticity, as well as their respective thermal shape fluctuations, excellent agreement is found with recently published experimental data on the surface tension dependent mobility of membrane bound inclusions. |
published_date |
2016-10-31T16:12:56Z |
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11.059359 |