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Boundary condition-selective length dependence of the flexural rigidity of microtubules

Jin Zhang, Chengyuan Wang Orcid Logo

Physics Letters A, Volume: 381, Issue: 27, Pages: 2167 - 2173

Swansea University Author: Chengyuan Wang Orcid Logo

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DOI (Published version): 10.1016/j.physleta.2017.04.040

Abstract

Length-dependent flexural rigidity (FR) is observed experimentally for microtubules (MTs) subjected to certain boundary conditions. To shed some light on this unique feature, we have studied the FR of MTs with different boundary conditions. A molecular structural mechanics method is employed to accu...

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Published in: Physics Letters A
ISSN: 03759601
Published: 2017
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URI: https://cronfa.swan.ac.uk/Record/cronfa33211
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first_indexed 2017-05-05T13:04:00Z
last_indexed 2018-02-09T05:21:57Z
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spelling 2017-07-31T14:11:52.2937028 v2 33211 2017-05-05 Boundary condition-selective length dependence of the flexural rigidity of microtubules fdea93ab99f51d0b3921d3601876c1e5 0000-0002-1001-2537 Chengyuan Wang Chengyuan Wang true false 2017-05-05 MECH Length-dependent flexural rigidity (FR) is observed experimentally for microtubules (MTs) subjected to certain boundary conditions. To shed some light on this unique feature, we have studied the FR of MTs with different boundary conditions. A molecular structural mechanics method is employed to accurately describe the real boundary conditions imposed on MTs in experiments. Some of component protofilaments of MTs are blocked at the ends while others are free. In addition, linked kinesin is treated as an elastic body rather than a rigid body. Our simulations show that for relatively long MTs having a length comparable to those measured in experiments the length-dependent rigidity is detected only for those with fixed-free and fixed-fixed ends, which is consistent with the experimental observation. To capture the physics leading to the above phenomenon, Timoshenko beam model is adopted accounting for both transverse shear effect (TSE) and imperfect boundary effect (IBE). Comparison between TSE and IBE indicates that the boundary condition-selective length-dependence achieved for the FR of relatively long MTs is primarily a result of the influence of IBE rather than TSE. Journal Article Physics Letters A 381 27 2167 2173 03759601 Microtubule; Flexural rigidity; Length dependence; Boundary condition 31 12 2017 2017-12-31 10.1016/j.physleta.2017.04.040 COLLEGE NANME Mechanical Engineering COLLEGE CODE MECH Swansea University 2017-07-31T14:11:52.2937028 2017-05-05T11:22:29.4612183 Faculty of Science and Engineering School of Aerospace, Civil, Electrical, General and Mechanical Engineering - Mechanical Engineering Jin Zhang 1 Chengyuan Wang 0000-0002-1001-2537 2 0033211-05052017112353.pdf zhang2017(3).pdf 2017-05-05T11:23:53.6230000 Output 1160368 application/pdf Accepted Manuscript true 2018-05-04T00:00:00.0000000 true eng
title Boundary condition-selective length dependence of the flexural rigidity of microtubules
spellingShingle Boundary condition-selective length dependence of the flexural rigidity of microtubules
Chengyuan Wang
title_short Boundary condition-selective length dependence of the flexural rigidity of microtubules
title_full Boundary condition-selective length dependence of the flexural rigidity of microtubules
title_fullStr Boundary condition-selective length dependence of the flexural rigidity of microtubules
title_full_unstemmed Boundary condition-selective length dependence of the flexural rigidity of microtubules
title_sort Boundary condition-selective length dependence of the flexural rigidity of microtubules
author_id_str_mv fdea93ab99f51d0b3921d3601876c1e5
author_id_fullname_str_mv fdea93ab99f51d0b3921d3601876c1e5_***_Chengyuan Wang
author Chengyuan Wang
author2 Jin Zhang
Chengyuan Wang
format Journal article
container_title Physics Letters A
container_volume 381
container_issue 27
container_start_page 2167
publishDate 2017
institution Swansea University
issn 03759601
doi_str_mv 10.1016/j.physleta.2017.04.040
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 Aerospace, Civil, Electrical, General and Mechanical Engineering - Mechanical Engineering{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Aerospace, Civil, Electrical, General and Mechanical Engineering - Mechanical Engineering
document_store_str 1
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description Length-dependent flexural rigidity (FR) is observed experimentally for microtubules (MTs) subjected to certain boundary conditions. To shed some light on this unique feature, we have studied the FR of MTs with different boundary conditions. A molecular structural mechanics method is employed to accurately describe the real boundary conditions imposed on MTs in experiments. Some of component protofilaments of MTs are blocked at the ends while others are free. In addition, linked kinesin is treated as an elastic body rather than a rigid body. Our simulations show that for relatively long MTs having a length comparable to those measured in experiments the length-dependent rigidity is detected only for those with fixed-free and fixed-fixed ends, which is consistent with the experimental observation. To capture the physics leading to the above phenomenon, Timoshenko beam model is adopted accounting for both transverse shear effect (TSE) and imperfect boundary effect (IBE). Comparison between TSE and IBE indicates that the boundary condition-selective length-dependence achieved for the FR of relatively long MTs is primarily a result of the influence of IBE rather than TSE.
published_date 2017-12-31T03:40:52Z
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score 11.016235

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