The effects of the surrounding viscoelastic media on the buckling behavior of single microfilament within the cell: A mechanical model

Mohamed A. Khadimallah , Muhammad Safeer , Muhammad Taj , Hamdi Ayed , Muzamal Hussain , Souhail Mohamed Bouzgarrou , S.R. Mahmoud , Manzoor Ahmad , Abdelouahed Tounsi

Abstract

In the present study, a mechanical model is applied to account the effects of the surrounding viscoelastic media on the buckling behavior of single microfilament within the cell. The model immeasurably associates filament\'s bending rigidity, neighboring system elasticity, and cytosol viscosity with buckling wavelengths, buckling growth rates and buckling amplitudes of the filament. 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 consisting of other filaments network and viscous cytosole within the cell. This surrounding, viscoelastic media affects the buckling behavior of these filaments when external force is applied on these filaments. The obtained results, indicate that the coupling of viscoelastic media with the viscous cytosol greatly affect the buckling behavior of microfilament. The buckling forces increased with the increase in the intensity of surrounding viscoelastic media.

Key Words

microfilaments; viscoelastic media; buckling; compressive loads; amplitudes

Address

Mohamed A. Khadimallah — Prince Sattam Bin Abdulaziz University, College of Engineering, Civil Engineering Department, BP 655, Al-Kharj, 11942, Saudi Arabia
Muhammad Safeer — Department of Mathematics, University of Azad Jammu and Kashmir, Muzaffarabad, 1300, Azad Kashmir, Pakistan; Department of Mathematics University of Poonch Rawalwkot 12350 Azad Kashmir, Pakistan
Muhammad Taj — Department of Mathematics, University of Azad Jammu and Kashmir, Muzaffarabad, 1300, Azad Kashmir, Pakistan
Hamdi Ayed — Department of Civil Engineering, College of Engineering, King Khalid University, Abha, Kingdom of Saudi Arabia; Higher Institute of Transport and Logistics of Sousse, University Sousse, Tunisia
Muzamal Hussain — Department of Mathematics, Govt. College University Faisalabad, 38000, Faisalabad, Pakistan
Souhail Mohamed Bouzgarrou — Civil Engineering Department, Faculty of Engineering, Jazan University, Kingdom of Saudi Arabia
S.R. Mahmoud — GRC Department, Faculty of Applied studies, King Abdulaziz University, Jeddah, Saudi Arabia
Manzoor Ahmad — Department of Mathematics University of Poonch Rawalwkot 12350 Azad Kashmir, Pakistan
Abdelouahed Tounsi — Materials and Hydrology Laboratory University of Sidi Bel Abbes, Algeria Faculty of Technology Civil Engineering Department; Department of Civil and Environmental Engineering, King Fahd University of Petroleumand Minerals, 31261 Dhahran, Eastern Province, Saudi Arabia

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