Vibrational response of coupled orthotropic protein microtubules immersed in cytosol considering small-scale and surface effects

IF 4.2 Q2 NANOSCIENCE & NANOTECHNOLOGY
A Ghorbanpour Arani, E. Haghparast, Z. K. Maraghi
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引用次数: 0

Abstract

In this research, orthotropic Euler–Bernoulli beam and Timoshenko beam models are developed to investigate vibrational behavior of coupled protein microtubules. Microtubules are hollow cylindrical filaments in the living cells which are surrounded by filament network, which is simulated by Winkler–Riley Model. Temperature-dependent material properties for microtubules are used to study the thermal effect on vibration frequency. To apply the size effect, nonlocal theory is utilized, and the motion equations are derived based on Hamilton’s principle. In order to examine reliability of presented study, effects of various parameters such as environmental conditions, temperature change, boundary conditions and small-scale parameters on vibration characteristics of isotropic and orthotropic microtubules for both Euler–Bernoulli beam and Timoshenko beam models are discussed in detail. Results revealed that dynamic behavior of coupled microtubules is strongly dependent on the surface elasticity modulus of cytosol, so that, increasing surface elasticity modulus leads to increase in frequency of coupled microtubules. Results of this investigation can be provided as a useful reference in bio-medical clinical application.
考虑小尺度和表面效应的偶联正交异性蛋白微管浸入细胞质中的振动响应
本研究建立了正交各向异性欧拉-伯努利梁和Timoshenko梁模型来研究偶联蛋白微管的振动行为。微管是活细胞内被丝网包围的空心圆柱形细丝,用Winkler-Riley模型进行了模拟。利用微管材料的温度相关特性研究了热效应对微管振动频率的影响。为了应用尺寸效应,利用了非局部理论,并根据哈密顿原理推导了运动方程。为了检验本研究的可靠性,详细讨论了环境条件、温度变化、边界条件和小尺度参数等各种参数对欧拉-伯努利梁和Timoshenko梁模型各向同性和正交异性微管振动特性的影响。结果表明,耦合微管的动力学行为强烈依赖于胞质溶胶的表面弹性模量,因此,表面弹性模量的增加导致耦合微管的频率增加。本研究结果可为生物医学临床应用提供有益参考。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
CiteScore
6.00
自引率
1.70%
发文量
24
期刊介绍: Proceedings of the Institution of Mechanical Engineers Part N-Journal of Nanomaterials Nanoengineering and Nanosystems is a peer-reviewed scientific journal published since 2004 by SAGE Publications on behalf of the Institution of Mechanical Engineers. The journal focuses on research in the field of nanoengineering, nanoscience and nanotechnology and aims to publish high quality academic papers in this field. In addition, the journal is indexed in several reputable academic databases and abstracting services, including Scopus, Compendex, and CSA's Advanced Polymers Abstracts, Composites Industry Abstracts, and Earthquake Engineering Abstracts.
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