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Effect of external force on buckling of cytoskeleton intermediate filaments within viscoelastic media

  • Taj, Muhammad (Department of Mathematics, The University of Azad Jammu and Kashmir) ;
  • Safeer, Muhammad (Department of Mathematics, The University of Azad Jammu and Kashmir) ;
  • Hussain, Muzamal (Department of Mathematics, Govt. College University Faisalabad) ;
  • Naeem, Muhammad N. (Department of Mathematics, Govt. College University Faisalabad) ;
  • Ahmad, Manzoor (Department of Mathematics, The University of Azad Jammu and Kashmir) ;
  • Abbas, Kamran (Department of Statistics, The University of Azad Jammu and Kashmir) ;
  • Khan, Abdul Q. (Department of Mathematics, The University of Azad Jammu and Kashmir) ;
  • Tounsi, Abdelouahed (Materials and Hydrology Laboratory, University of Sidi Bel Abbes, Algeria Faculty of Technology Civil Engineering Department)
  • Received : 2019.12.31
  • Accepted : 2020.02.21
  • Published : 2020.03.25
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Abstract

Cytoskeleton components in living cell bear large compressive force and are responsible in maintaining the cell shape. Actually these filaments are surrounded by viscoelastic media within the cell. This surrounding, viscoelastic media affects the buckling behavior of these filaments when external force is applied on these filaments by exerting continuous pressure in opposite directions to the incipient buckling of the filaments. In this article a mechanical model is applied to account the effects of this media on the buckling behavior of intermediate filaments network of cytoskeleton. The model immeasurably associates; filament's bending rigidity, adjacent system elasticity, and cytosol viscosity with buckling wavelength, buckling growth rate and buckling amplitude of the filaments.

Keywords

Acknowledgement

The author(s) received no financial support for the research, authorship, and/or publication of this article.

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