Advances in nano research

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Instability analysis of microfilaments with and without surface effects using Euler theory

  • Taj, Muhammad (Department of Mathematics, University of Azad Jammu and Kashmir) ;
  • Khadimallah, Mohamed A. (Prince Sattam Bin Abdulaziz University, College of Engineering) ;
  • Hussain, Muzamal (Department of Mathematics, Govt. College University Faisalabad) ;
  • Mahmood, Shaid (Department of Mathematics, University of Azad Jammu and Kashmir) ;
  • Safeer, Muhammad (Department of Mathematics, University of Azad Jammu and Kashmir) ;
  • Rashid, Yahya (Prince Sattam Bin Abdulaziz University, College of Engineering) ;
  • Ahmad, Manzoor (Department of Mathematics, University of Azad Jammu and Kashmir) ;
  • Naeem, M. Nawaz (Department of Mathematics, Govt. College University Faisalabad) ;
  • Asghar, Sehar (Department of Mathematics, Govt. College University Faisalabad) ;
  • Ponnore, Joffin (Prince Sattam Bin Abdulaziz University, College of Engineering) ;
  • Al Qahtani, Abdelaziz (Prince Sattam Bin Abdulaziz University, College of Engineering) ;
  • Mahmoud, S.R. (GRC Department, Faculty of Applied studies, King Abdulaziz University) ;
  • Alwabli, Afaf S. (Department of Biological Sciences, Faculty of Science, King Abdulaziz University) ;
  • Tounsi, Abdelouahed (YFL (Yonsei Frontier Lab), Yonsei University)
  • Received : 2020.09.11
  • Accepted : 2021.02.16
  • Published : 2021.06.25
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Abstract

The study of cell components has been an active area of research since the last few decades. Cytoskeleton of the cell which gives shape and provides structure to the cell has three main components, microtubules, microfilaments and intermediate filaments. Each of the cytoskeletal components is surrounded by various filamentous or the other cytoskeletal components act as a surface layer on these filaments. The stability of these components affected when cell perform various functions in the body and as a result these filaments buckle, vibrate and bend. In the present study the buckling behavior of microfilament is discussed with the effects of surface by using Euler Bernoulli beam theory and the obtained results for free and surrounded microfilament are shown in the tables and figures.

Keywords

Acknowledgement

This project was supported by the Deanship of Scientific Research at Prince Sattam Bin Abdulaziz University under the research project No 2020/01/17198.

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