Journal article 1169 views
Free vibration analysis of microtubules based on the molecular mechanics and continuum beam theory
Biomechanics and Modeling in Mechanobiology
Swansea University Author: Chengyuan Wang
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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...
Published in: | Biomechanics and Modeling in Mechanobiology |
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ISSN: | 1617-7940 |
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2015
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URI: | https://cronfa.swan.ac.uk/Record/cronfa28838 |
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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 |
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1763751506596593664 |
score |
11.030165 |