Calculation of Vibration Modes of Mechanical Waves on Microtubules Presented like Strings and Bars

Atanas Todorov Atanasov

doi:doi:10.11648/j.ajmp.s.2014030601.11

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Calculation of Vibration Modes of Mechanical Waves on Microtubules Presented like Strings and Bars

Atanas Todorov Atanasov

Published in American Journal of Modern Physics (Volume 3, Issue 6-1)

Received: 28 May 2014 Accepted: 7 July 2014 Published: 13 July 2014

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Abstract

The study describes a physical model of vibrating microtubules in living cells, presented as strings and bars. Calculated are proper-frequencies of first four vibration modes of transverse and longitudinal waves on microtubules. For microtubules with length 1-30µm and shear modulus 5.0×106 N/m2 the proper-frequencies of standing transverse waves fall in diapason of 1×103 - 5×107 Hz. For microtubules with same length and Young’s modulus 108–109 N/m2 the proper-frequencies of standing longitudinal waves fall in diapason of 5×106 - 3×109 Hz. These calculated diapasons of frequencies overlap with experimentally registered diapasons of frequencies of mechanical and electric vibrations in bacteria, yeast cells, erythrocytes, infuzorii and soma cells. Some theoretical problems related to the present model are discussed.

Published in	American Journal of Modern Physics (Volume 3, Issue 6-1) This article belongs to the Special Issue High Energy Physics: Towards a New Synthesis of Fundamental Interactions
DOI	10.11648/j.ajmp.s.2014030601.11
Page(s)	1-11
Creative Commons	This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.
Copyright	Copyright © The Author(s), 2014. Published by Science Publishing Group

Keywords

Microtubules, String, Bar, Frequency, Transverse, Longitudinal, Waves

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Atanas Todorov Atanasov. (2014). Calculation of Vibration Modes of Mechanical Waves on Microtubules Presented like Strings and Bars. American Journal of Modern Physics, 3(6-1), 1-11. https://doi.org/10.11648/j.ajmp.s.2014030601.11

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Atanas Todorov Atanasov. Calculation of Vibration Modes of Mechanical Waves on Microtubules Presented like Strings and Bars. Am. J. Mod. Phys. 2014, 3(6-1), 1-11. doi: 10.11648/j.ajmp.s.2014030601.11

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Atanas Todorov Atanasov. Calculation of Vibration Modes of Mechanical Waves on Microtubules Presented like Strings and Bars. Am J Mod Phys. 2014;3(6-1):1-11. doi: 10.11648/j.ajmp.s.2014030601.11

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@article{10.11648/j.ajmp.s.2014030601.11,
  author = {Atanas Todorov Atanasov},
  title = {Calculation of Vibration Modes of Mechanical Waves on Microtubules Presented like Strings and Bars},
  journal = {American Journal of Modern Physics},
  volume = {3},
  number = {6-1},
  pages = {1-11},
  doi = {10.11648/j.ajmp.s.2014030601.11},
  url = {https://doi.org/10.11648/j.ajmp.s.2014030601.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajmp.s.2014030601.11},
  abstract = {The study describes a physical model of vibrating microtubules in living cells, presented as strings and bars. Calculated are proper-frequencies of first four vibration modes of transverse and longitudinal waves on microtubules. For microtubules with length 1-30µm and shear modulus 5.0×106 N/m2 the proper-frequencies of standing transverse waves fall in diapason of 1×103 - 5×107 Hz. For microtubules with same length and Young’s modulus 108–109 N/m2 the proper-frequencies of standing longitudinal waves fall in diapason of 5×106 - 3×109 Hz. These calculated diapasons of frequencies overlap with experimentally registered diapasons of frequencies of mechanical and electric vibrations in bacteria, yeast cells, erythrocytes, infuzorii and soma cells. Some theoretical problems related to the present model are discussed.},
 year = {2014}
}

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TY  - JOUR
T1  - Calculation of Vibration Modes of Mechanical Waves on Microtubules Presented like Strings and Bars
AU  - Atanas Todorov Atanasov
Y1  - 2014/07/13
PY  - 2014
N1  - https://doi.org/10.11648/j.ajmp.s.2014030601.11
DO  - 10.11648/j.ajmp.s.2014030601.11
T2  - American Journal of Modern Physics
JF  - American Journal of Modern Physics
JO  - American Journal of Modern Physics
SP  - 1
EP  - 11
PB  - Science Publishing Group
SN  - 2326-8891
UR  - https://doi.org/10.11648/j.ajmp.s.2014030601.11
AB  - The study describes a physical model of vibrating microtubules in living cells, presented as strings and bars. Calculated are proper-frequencies of first four vibration modes of transverse and longitudinal waves on microtubules. For microtubules with length 1-30µm and shear modulus 5.0×106 N/m2 the proper-frequencies of standing transverse waves fall in diapason of 1×103 - 5×107 Hz. For microtubules with same length and Young’s modulus 108–109 N/m2 the proper-frequencies of standing longitudinal waves fall in diapason of 5×106 - 3×109 Hz. These calculated diapasons of frequencies overlap with experimentally registered diapasons of frequencies of mechanical and electric vibrations in bacteria, yeast cells, erythrocytes, infuzorii and soma cells. Some theoretical problems related to the present model are discussed.
VL  - 3
IS  - 6-1
ER  -

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Atanas Todorov Atanasov

Dept. of Biophysics, Medical Faculty, Trakia University, Armeiska Str. 11, 6000 Stara Zagora, Bulgaria

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Atanas Todorov Atanasov. (2014). Calculation of Vibration Modes of Mechanical Waves on Microtubules Presented like Strings and Bars. American Journal of Modern Physics, 3(6-1), 1-11. https://doi.org/10.11648/j.ajmp.s.2014030601.11

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ACS Style

Atanas Todorov Atanasov. Calculation of Vibration Modes of Mechanical Waves on Microtubules Presented like Strings and Bars. Am. J. Mod. Phys. 2014, 3(6-1), 1-11. doi: 10.11648/j.ajmp.s.2014030601.11

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AMA Style

Atanas Todorov Atanasov. Calculation of Vibration Modes of Mechanical Waves on Microtubules Presented like Strings and Bars. Am J Mod Phys. 2014;3(6-1):1-11. doi: 10.11648/j.ajmp.s.2014030601.11

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@article{10.11648/j.ajmp.s.2014030601.11,
  author = {Atanas Todorov Atanasov},
  title = {Calculation of Vibration Modes of Mechanical Waves on Microtubules Presented like Strings and Bars},
  journal = {American Journal of Modern Physics},
  volume = {3},
  number = {6-1},
  pages = {1-11},
  doi = {10.11648/j.ajmp.s.2014030601.11},
  url = {https://doi.org/10.11648/j.ajmp.s.2014030601.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajmp.s.2014030601.11},
  abstract = {The study describes a physical model of vibrating microtubules in living cells, presented as strings and bars. Calculated are proper-frequencies of first four vibration modes of transverse and longitudinal waves on microtubules. For microtubules with length 1-30µm and shear modulus 5.0×106 N/m2 the proper-frequencies of standing transverse waves fall in diapason of 1×103 - 5×107 Hz. For microtubules with same length and Young’s modulus 108–109 N/m2 the proper-frequencies of standing longitudinal waves fall in diapason of 5×106 - 3×109 Hz. These calculated diapasons of frequencies overlap with experimentally registered diapasons of frequencies of mechanical and electric vibrations in bacteria, yeast cells, erythrocytes, infuzorii and soma cells. Some theoretical problems related to the present model are discussed.},
 year = {2014}
}

Copy | Download

TY  - JOUR
T1  - Calculation of Vibration Modes of Mechanical Waves on Microtubules Presented like Strings and Bars
AU  - Atanas Todorov Atanasov
Y1  - 2014/07/13
PY  - 2014
N1  - https://doi.org/10.11648/j.ajmp.s.2014030601.11
DO  - 10.11648/j.ajmp.s.2014030601.11
T2  - American Journal of Modern Physics
JF  - American Journal of Modern Physics
JO  - American Journal of Modern Physics
SP  - 1
EP  - 11
PB  - Science Publishing Group
SN  - 2326-8891
UR  - https://doi.org/10.11648/j.ajmp.s.2014030601.11
AB  - The study describes a physical model of vibrating microtubules in living cells, presented as strings and bars. Calculated are proper-frequencies of first four vibration modes of transverse and longitudinal waves on microtubules. For microtubules with length 1-30µm and shear modulus 5.0×106 N/m2 the proper-frequencies of standing transverse waves fall in diapason of 1×103 - 5×107 Hz. For microtubules with same length and Young’s modulus 108–109 N/m2 the proper-frequencies of standing longitudinal waves fall in diapason of 5×106 - 3×109 Hz. These calculated diapasons of frequencies overlap with experimentally registered diapasons of frequencies of mechanical and electric vibrations in bacteria, yeast cells, erythrocytes, infuzorii and soma cells. Some theoretical problems related to the present model are discussed.
VL  - 3
IS  - 6-1
ER  -

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