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Wave propagation induced by body forces for free microtubules using cylindrical shell model

  • Muhammad Taj (Department of Mathematics, University of Azad Jammu and Kashmir) ;
  • Ikram Ahmad (Department of Chemistry, University of Sahiwal) ;
  • Mohamed Amine Khadimallah (Department of Civil Engineering, College of Engineering in Al-Kharj, Prince Sattam Bin Abdulaziz University) ;
  • Hamdi Ayed (Department of Civil Engineering, College of Engineering, King Khalid University) ;
  • Rana Muhammad Akram Muntazir (Department of Mathematics, Lahore Leads University) ;
  • Abir Mouldi (Department of Industrial Engineering, College of Engineering, King Khalid University) ;
  • Manahil Maqsood (Department of Chemistry, University of Sahiwal) ;
  • Essam Mohammed Banoqitah (Nuclear Engineering Department, Faculty of Engineering, King Abdulaziz University) ;
  • Muzamal Hussain (Department of Mathematics, University of Sahiwal) ;
  • Abeera Talib (Department of Mathematics, Lahore Leads University) ;
  • Hajra Khanam (Department of Mathematics, Lahore Leads University) ;
  • Zafer Iqbal (Department of Mathematics, University of Sargodha)
  • Received : 2023.08.17
  • Accepted : 2024.07.10
  • Published : 2024.02.25
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Abstract

This paper examines the wave velocity of protein microtubules using a elasticity model that incorporates body forces, based on the structure of these hollow cylinder-like structures., the governing equations are analytically solved to determine how the body forces effect the wave velocity. To analyze the microtubule waves velocity, use microtubules with simply supported ends. The electric field of a dipole vibrating at the same frequency as microtubule vibrations approximates the electric field generated by the rhythmic motion of every charge. The numerical findings for the three modes of frequencies in the longitudinal, radial, and torsional directions for the current conditions are compared with the results of previous calculations.

Keywords

Acknowledgement

The authors extend their appreciation to the Deanship of Research and Graduate Studies at King Khalid University for funding this work through Large Research Project under grant number RGP2/95/45.

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