Calculation of Vibration Modes of Mechanical Waves on Microtubules Presented like Strings and Bars
American Journal of Modern Physics
Volume 3, Issue 6-1, December 2014, Pages: 1-11
Received: May 28, 2014; Accepted: Jul. 7, 2014; Published: Jul. 13, 2014
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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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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.
Microtubules, String, Bar, Frequency, Transverse, Longitudinal, Waves
To cite this article
Atanas Todorov Atanasov, Calculation of Vibration Modes of Mechanical Waves on Microtubules Presented like Strings and Bars, American Journal of Modern Physics. Special Issue:High Energy Physics: Towards a New Synthesis of Fundamental Interactions. Vol. 3, No. 6-1, 2014, pp. 1-11. doi: 10.11648/j.ajmp.s.2014030601.11
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