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Structure–property relation and relevance of beam theories for microtubules: a coupled molecular and continuum mechanics study

Si Li, Chengyuan Wang Orcid Logo, Perumal Nithiarasu Orcid Logo

Biomechanics and Modeling in Mechanobiology

Swansea University Authors: Chengyuan Wang Orcid Logo, Perumal Nithiarasu Orcid Logo

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DOI (Published version): 10.1007/s10237-017-0964-9

Abstract

Quasi-one-dimensional microtubules (MTs) in cells enjoy high axial rigidity but large transverse flexibility due to the inter-protofilament (PF) sliding. This study aims to explore the structure–property relation for MTs and examine the relevance of the beam theories to their unique features. A mole...

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Published in: Biomechanics and Modeling in Mechanobiology
ISSN: 1617-7959 1617-7940
Published: 2017
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URI: https://cronfa.swan.ac.uk/Record/cronfa35114
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first_indexed 2017-09-05T12:59:07Z
last_indexed 2020-06-01T18:47:01Z
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spelling 2020-06-01T16:49:29.3752012 v2 35114 2017-09-05 Structure–property relation and relevance of beam theories for microtubules: a coupled molecular and continuum mechanics study fdea93ab99f51d0b3921d3601876c1e5 0000-0002-1001-2537 Chengyuan Wang Chengyuan Wang true false 3b28bf59358fc2b9bd9a46897dbfc92d 0000-0002-4901-2980 Perumal Nithiarasu Perumal Nithiarasu true false 2017-09-05 MECH Quasi-one-dimensional microtubules (MTs) in cells enjoy high axial rigidity but large transverse flexibility due to the inter-protofilament (PF) sliding. This study aims to explore the structure–property relation for MTs and examine the relevance of the beam theories to their unique features. A molecular structural mechanics (MSM) model was used to identify the origin of the inter-PF sliding and its role in bending and vibration of MTs. The beam models were then fitted to the MSM to reveal how they cope with the distinct mechanical responses induced by the inter-PF sliding. Clear evidence showed that the inter-PF sliding is due to the soft inter-PF bonds and leads to the length-dependent bending stiffness. The Euler beam theory is found to adequately describe MT deformation when the inter-PF sliding is largely prohibited. Nevertheless, neither shear deformation nor the nonlocal effect considered in the ‘more accurate’ beam theories can fully capture the effect of the inter-PF sliding. This reflects the distinct deformation mechanisms between an MT and its equivalent continuous body. Journal Article Biomechanics and Modeling in Mechanobiology 1617-7959 1617-7940 Microtubules, Molecular structure mechanics model, Inter-PF sliding, Euler beam, Timoshenko beam, Nonlocal effect 31 12 2017 2017-12-31 10.1007/s10237-017-0964-9 COLLEGE NANME Mechanical Engineering COLLEGE CODE MECH Swansea University 2020-06-01T16:49:29.3752012 2017-09-05T10:37:52.5242416 Faculty of Science and Engineering School of Aerospace, Civil, Electrical, General and Mechanical Engineering - Civil Engineering Si Li 1 Chengyuan Wang 0000-0002-1001-2537 2 Perumal Nithiarasu 0000-0002-4901-2980 3 0035114-04102017104626.pdf li2017(11)v2.pdf 2017-10-04T10:46:26.8070000 Output 2691772 application/pdf Version of Record true 2017-10-04T00:00:00.0000000 true eng
title Structure–property relation and relevance of beam theories for microtubules: a coupled molecular and continuum mechanics study
spellingShingle Structure–property relation and relevance of beam theories for microtubules: a coupled molecular and continuum mechanics study
Chengyuan Wang
Perumal Nithiarasu
title_short Structure–property relation and relevance of beam theories for microtubules: a coupled molecular and continuum mechanics study
title_full Structure–property relation and relevance of beam theories for microtubules: a coupled molecular and continuum mechanics study
title_fullStr Structure–property relation and relevance of beam theories for microtubules: a coupled molecular and continuum mechanics study
title_full_unstemmed Structure–property relation and relevance of beam theories for microtubules: a coupled molecular and continuum mechanics study
title_sort Structure–property relation and relevance of beam theories for microtubules: a coupled molecular and continuum mechanics study
author_id_str_mv fdea93ab99f51d0b3921d3601876c1e5
3b28bf59358fc2b9bd9a46897dbfc92d
author_id_fullname_str_mv fdea93ab99f51d0b3921d3601876c1e5_***_Chengyuan Wang
3b28bf59358fc2b9bd9a46897dbfc92d_***_Perumal Nithiarasu
author Chengyuan Wang
Perumal Nithiarasu
author2 Si Li
Chengyuan Wang
Perumal Nithiarasu
format Journal article
container_title Biomechanics and Modeling in Mechanobiology
publishDate 2017
institution Swansea University
issn 1617-7959
1617-7940
doi_str_mv 10.1007/s10237-017-0964-9
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 - Civil Engineering{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Aerospace, Civil, Electrical, General and Mechanical Engineering - Civil Engineering
document_store_str 1
active_str 0
description Quasi-one-dimensional microtubules (MTs) in cells enjoy high axial rigidity but large transverse flexibility due to the inter-protofilament (PF) sliding. This study aims to explore the structure–property relation for MTs and examine the relevance of the beam theories to their unique features. A molecular structural mechanics (MSM) model was used to identify the origin of the inter-PF sliding and its role in bending and vibration of MTs. The beam models were then fitted to the MSM to reveal how they cope with the distinct mechanical responses induced by the inter-PF sliding. Clear evidence showed that the inter-PF sliding is due to the soft inter-PF bonds and leads to the length-dependent bending stiffness. The Euler beam theory is found to adequately describe MT deformation when the inter-PF sliding is largely prohibited. Nevertheless, neither shear deformation nor the nonlocal effect considered in the ‘more accurate’ beam theories can fully capture the effect of the inter-PF sliding. This reflects the distinct deformation mechanisms between an MT and its equivalent continuous body.
published_date 2017-12-31T03:43:35Z
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score 11.037056

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