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Free vibration analysis of microtubules based on the molecular mechanics and continuum beam theory

Chengyuan Wang Orcid Logo

Biomechanics and Modeling in Mechanobiology

Swansea University Author: Chengyuan Wang Orcid Logo

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DOI (Published version): 10.1007/s10237-015-0744-3

Abstract

A molecular structural mechanics (MSM) method has been implemented to investigate the free vibration of microtubules (MTs). The emphasis is placed on the effects of the configuration and the imperfect boundaries of MTs. It is shown that the influence of protofilament number on the fundamental freque...

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Published in: Biomechanics and Modeling in Mechanobiology
ISSN: 1617-7940
Published: 2015
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URI: https://cronfa.swan.ac.uk/Record/cronfa28838
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first_indexed 2016-06-12T18:23:06Z
last_indexed 2018-02-09T05:13:22Z
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spelling 2016-08-04T14:40:44.5073055 v2 28838 2016-06-12 Free vibration analysis of microtubules based on the molecular mechanics and continuum beam theory fdea93ab99f51d0b3921d3601876c1e5 0000-0002-1001-2537 Chengyuan Wang Chengyuan Wang true false 2016-06-12 MECH A molecular structural mechanics (MSM) method has been implemented to investigate the free vibration of microtubules (MTs). The emphasis is placed on the effects of the configuration and the imperfect boundaries of MTs. It is shown that the influence of protofilament number on the fundamental frequency is strong, while the effect of helix-start number is almost negligible. The fundamental frequency is also found to decrease as the number of the blocked filaments at boundaries decreases. Subsequently, the Euler–Bernoulli beam theory is employed to reveal the physics behind the simulation results. Fitting the Euler–Bernoulli beam into the MSM data leads to an explicit formula for the fundamental frequency of MTs with various configurations and identifies a possible correlation between the imperfect boundary conditions and the length-dependent bending stiffness of MTs reported in experiments Journal Article Biomechanics and Modeling in Mechanobiology 1617-7940 Microtubules – Free vibration – Molecular mechanics – Continuum mechanics 31 12 2015 2015-12-31 10.1007/s10237-015-0744-3 http://link.springer.com/journal/10237 COLLEGE NANME Mechanical Engineering COLLEGE CODE MECH Swansea University 2016-08-04T14:40:44.5073055 2016-06-12T13:13:57.7827243 Faculty of Science and Engineering School of Aerospace, Civil, Electrical, General and Mechanical Engineering - Mechanical Engineering Chengyuan Wang 0000-0002-1001-2537 1
title Free vibration analysis of microtubules based on the molecular mechanics and continuum beam theory
spellingShingle Free vibration analysis of microtubules based on the molecular mechanics and continuum beam theory
Chengyuan Wang
title_short Free vibration analysis of microtubules based on the molecular mechanics and continuum beam theory
title_full Free vibration analysis of microtubules based on the molecular mechanics and continuum beam theory
title_fullStr Free vibration analysis of microtubules based on the molecular mechanics and continuum beam theory
title_full_unstemmed Free vibration analysis of microtubules based on the molecular mechanics and continuum beam theory
title_sort Free vibration analysis of microtubules based on the molecular mechanics and continuum beam theory
author_id_str_mv fdea93ab99f51d0b3921d3601876c1e5
author_id_fullname_str_mv fdea93ab99f51d0b3921d3601876c1e5_***_Chengyuan Wang
author Chengyuan Wang
author2 Chengyuan Wang
format Journal article
container_title Biomechanics and Modeling in Mechanobiology
publishDate 2015
institution Swansea University
issn 1617-7940
doi_str_mv 10.1007/s10237-015-0744-3
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 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
url http://link.springer.com/journal/10237
document_store_str 0
active_str 0
description A molecular structural mechanics (MSM) method has been implemented to investigate the free vibration of microtubules (MTs). The emphasis is placed on the effects of the configuration and the imperfect boundaries of MTs. It is shown that the influence of protofilament number on the fundamental frequency is strong, while the effect of helix-start number is almost negligible. The fundamental frequency is also found to decrease as the number of the blocked filaments at boundaries decreases. Subsequently, the Euler–Bernoulli beam theory is employed to reveal the physics behind the simulation results. Fitting the Euler–Bernoulli beam into the MSM data leads to an explicit formula for the fundamental frequency of MTs with various configurations and identifies a possible correlation between the imperfect boundary conditions and the length-dependent bending stiffness of MTs reported in experiments
published_date 2015-12-31T03:35:12Z
_version_ 1763751506596593664
score 11.035655

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