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

Muhammad Taj , Mohamed A. Khadimallah , Muzamal Hussain , Shaid Mahmood , Muhammad Safeer , Yahya Rashid , Manzoor Ahmad , M. Nawaz Naeem , Sehar Asghar , Joffin Ponnore , Abdelaziz Al Qahtani , S. R. Mahmoud , Afaf S. Alwabli , Abdelouahed Tounsi

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.

Key Words

microfilaments; Euler conventional beam model; buckling; surface effects

Address

Muhammad Taj, Shaid Mahmood, Muhammad Safeer and Manzoor Ahmad — Department of Mathematics, University of Azad Jammu and Kashmir, Muzaffarabad, 1300, Azad Kashmir, Pakistan
Mohamed A. Khadimallah, Yahya Rashid, Joffin Ponnore and Abdelaziz Al Qahtani — Prince Sattam Bin Abdulaziz University, College of Engineering, Al-Kharj, Saudi Arabia
Muzamal Hussain, M. Nawaz Naeem and Sehar Asghar — Department of Mathematics, Govt. College University Faisalabad, 38000, Faisalabad, Pakistan
S. R. Mahmoud — GRC Department, Faculty of Applied studies, King Abdulaziz University, Jeddah, Saudi Arabia
Afaf S. Alwabli — Department of Biological Sciences, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia
Abdelouahed Tounsi — YFL (Yonsei Frontier Lab), Yonsei University, Seoul, Korea

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