Buckling influence of intermediate filaments with and without surface effects
Muhammad Taj,Mohamed A. Khadimallah,Hamdi Ayed,Muzamal Hussain,Shaid Mahmood,Imtiaz Ahmad
Abstract
Intermediate filaments are the mechanical ropes for both cytoskeleton and nucleoskeleton of the cell which provide tensile force to these skeletons. In providing the mechanical support to the cell, they are likely to buckle. We used conventional Euler buckling model to find the critical buckling force under different boundary conditions which they assume during different functions. However, there are many experimental and theoretical studies about other cytoskeleton components which demonstrate that due to mechanical coupling with the surrounding surface, the critical buckling force increases considerably. Motivated with these results, we also investigated the influence of surface effects on the critical buckling force of intermediate filaments. The surface effects become profound because of increasing ratio of surface area of intermediate filaments to bulk at nano-scale. The model has been solved analytically to obtain relations for the critical forces for the buckling of intermediate filaments without and with surface effects. We found that critical buckling force with surface effects increases to a large extent due to mechanical coupling of intermediate filaments with the surrounding surface. Our study may be useful to develop a unified experimental protocol to characterize the physical properties of Intermediate filaments and may be helpful in understanding many biological phenomenon involving intermediate filaments.
Muhammad Taj and Shaid Mahmood — Department of Mathematics, University of Azad Jammu and Kashmir, Muzaffarabad, 1300, Azad Kashmir, Pakistan
Mohamed A. Khadimallah — Prince Sattam Bin Abdulaziz University, College of Engineering, Civil Engineering Department, BP 655, Al-Kharj, 16273, Saudi Arabia/ Laboratory of Systems and Applied Mechanics, Polytechnic School of Tunisia, University of Carthage, Tunis, Tunisia
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, University of Malakand at Chakdara,Dir (Lower), Khyber Pakhtoonkhwa, Pakistan
Imtiaz Ahmad — Department of Mathematics, MirpureUniversity of Science and Technology (MUST), Mirpure-10250, Azad Jammu and Kashmir, Pakistan
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