Bending behavior of microfilaments in living cell with nonlocal effects

Muhammad Safeer, Muhammad Taj, Mohamed A. Khadimallah, Muzamal Hussain, Saima Akram, Faisal Mehmood Butt and Abdelouahed Tounsi

Abstract

Dynamics of protein filamentous has been an active area of research since the last few decades as the role of cytoskeletal components, microtubules, intermediate filaments and microfilaments is very important in cell functions. During cell functions, these components undergo the deformations like bending, buckling and vibrations. In the present paper, bending and buckling of microfilaments are studied by using Euler Bernoulli beam theory with nonlocal parametric effects in conjunction. The obtained results show that the nonlocal parametric effects are not ignorable and the applications of nonlocal parameters well agree with the experimental verifications.

Key Words

bending; buckling; euler bernoulli beam theory; microfilament; nonlocal effects

Address

Muhammad Safeer and Muhammad Taj: Department of Mathematics, University of Azad Jammu and Kashmir, Muzaffarabad 13100, Pakistan Mohamed A. Khadimallah: Department of Civil Engineering, College of Engineering in Al-Kharj, Prince Sattam Bin Abdulaziz University, Al-Kharj, 11942, Saudi Arabia Muzamal Hussain: Department of Mathematics, Govt. College University Faisalabad, Faisalabad 38000, Pakistan Saima Akram: Department of Mathematics, Govt. College Women University, Faisalabad, Faisalabad 38000, Pakistan/ Center for Advanced Studies in Pure and Applied Mathematics Bahauddin Zakariya University Multan, 60000, Pakistan Faisal Mehmood Butt: Department of Electrical Engineering, University of Azad Jammu and Kashmir Muzaffarabad Abdelouahed Tounsi: YFL (Yonsei Frontier Lab), Yonsei University, Seoul, Korea/ Department of Civil and Environmental Engineering, King Fahd University of Petroleum and Minerals, 31261 Dhahran, Eastern Province, Saudi Arabia

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