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Curvature correction to the mobility of fluid membrane inclusions

Rob Daniels Orcid Logo

The European Physical Journal E, Volume: 39, Issue: 10

Swansea University Author: Rob Daniels Orcid Logo

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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...

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Published in: The European Physical Journal E
ISSN: 1292-8941 1292-895X
Published: 2016
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URI: https://cronfa.swan.ac.uk/Record/cronfa30217
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first_indexed 2016-09-26T12:53:05Z
last_indexed 2021-03-18T03:47:45Z
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spelling 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 MEDE 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 Biomedical Engineering COLLEGE CODE MEDE 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
author_id_str_mv 23f38c3bb732d4378986bdfaf7b6ee51
author_id_fullname_str_mv 23f38c3bb732d4378986bdfaf7b6ee51_***_Rob Daniels
author Rob Daniels
author2 Rob Daniels
format Journal article
container_title The European Physical Journal E
container_volume 39
container_issue 10
publishDate 2016
institution Swansea University
issn 1292-8941
1292-895X
doi_str_mv 10.1140/epje/i2016-16096-3
college_str Faculty of Science and Engineering
hierarchytype
hierarchy_top_id facultyofscienceandengineering
hierarchy_top_title Faculty of Science and Engineering
hierarchy_parent_id facultyofscienceandengineering
hierarchy_parent_title Faculty of Science and Engineering
department_str School of Engineering and Applied Sciences - Biomedical Engineering{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Engineering and Applied Sciences - Biomedical Engineering
document_store_str 1
active_str 0
description 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 2016-10-31T03:36:47Z
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score 10.928327