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

Muhammad Taj, Muhammad Safeer, Muzamal Hussain, Muhammad N. Naeem, Manzoor Ahmad, Kamran Abbas, Abdul Q. Khan and Abdelouahed Tounsi

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.

Key Words

intermediate filaments; viscous cytosol; Euler beam theory

Address

Muhammad Taj: Department of Mathematics, The University of Azad Jammu and Kashmir, Muzaffarabad 13100, Pakistan Muhammad Safeer: Department of Mathematics, The University of Azad Jammu and Kashmir, Muzaffarabad 13100, Pakistan; 2Department of Mathematics University of Poonch, Rawalwkot 12350, Azad Kashmir, Pakistan Muzamal Hussain: Department of Mathematics, Govt. College University Faisalabad, 38000, Faisalabad, Pakistan Muhammad N. Naeem: Department of Mathematics, Govt. College University Faisalabad, 38000, Faisalabad, Pakistan Manzoor Ahmad: Department of Mathematics, The University of Azad Jammu and Kashmir, Muzaffarabad 13100, Pakistan Kamran Abbas: Department of Statistics, The University of Azad Jammu and Kashmir, Muzaffarabad 13100, Pakistan Abdul Q. Khan: Department of Mathematics, The University of Azad Jammu and Kashmir, Muzaffarabad 13100, Pakistan Abdelouahed Tounsi: Materials and Hydrology Laboratory, University of Sidi Bel Abbes, Algeria Faculty of Technology Civil Engineering Department, Algeria; Department of Civil and Environmental Engineering, King Fahd University of Petroleum & Minerals, 31261 Dhahran, Eastern Province, Saudi Arabia

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