Calculation of Vibration Modes of Mechanical Waves on Microtubules Presented like Strings and Bars
Issue:
Volume 3, Issue 6-1, December 2014
Pages:
1-11
Received:
28 May 2014
Accepted:
7 July 2014
Published:
13 July 2014
DOI:
10.11648/j.ajmp.s.2014030601.11
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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.
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 fa...
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