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Application of exact continuum size-dependent theory for stability and frequency analysis of a curved cantilevered microtubule by considering viscoelastic properties
Engineering with Computers ( IF 8.7 ) Pub Date : 2020-05-02 , DOI: 10.1007/s00366-020-01024-9
Ali Shariati , Mostafa Habibi , Abdelouahed Tounsi , Hamed Safarpour , Maryam Safa

The stability analysis of cantilevered curved microtubules in axons regarding various size elements and using the generalized differential quadrature method for solving equations is reported. The impacts of covering MAP Tau proteins along with cytoplasm are taken into account as the elastic medium. Curved cylindrical nanoshell considering thick wall is used to model the microtubules. The factor of length scale ( l/R = 0.2) used in modified couple stress theory would result in more accuracy when it comes to comparison with experiments, while alternative theories presented in this paper provide less precise outcomes. Due to the reported precise results, at the lower value of the time-dependent viscoelastic factor ( $${\tau }_{s})$$ τ s ) by rising the size-dependent factor, the frequency response of the cantilever microtubule increases and this relation between the size-dependent parameter and the structure’s natural frequency is changed from direct to indirect for the higher amount of the time-based viscoelastic factor that scientists should attend to this matter when it comes to the microtubule. Furthermore, physical neighboring situations in a cell will be prominent in microtubules’ dynamic stability responses, such as membrane and cell-matrix. Since microtubules are likely to be applied as biosensors, this feature could be employed to disclose virulent tumors.

中文翻译:

考虑粘弹性的精确连续介质尺寸相关理论在弯曲悬臂微管稳定性和频率分析中的应用

报道了关于各种尺寸元素和使用广义微分正交方法求解方程的轴突中悬臂弯曲微管的稳定性分析。将 MAP Tau 蛋白与细胞质一起覆盖的影响被视为弹性介质。考虑厚壁的弯曲圆柱形纳米壳用于模拟微管。当与实验进行比较时,修正偶应力理论中使用的长度尺度因子 (l/R = 0.2) 将导致更高的准确性,而本文中提出的替代理论提供的结果不太准确。由于报告的精确结果,在与时间相关的粘弹性因子 ( $${\tau }_{s})$$ τ s 的较低值下,通过增加尺寸相关因子,悬臂微管的频率响应增加,尺寸相关参数和结构自然频率之间的这种关系从直接变为间接,因为科学家应该在涉及到这个问题时关注更多的基于时间的粘弹性因子微管。此外,细胞中的物理相邻情况在微管的动态稳定性响应中将是突出的,例如膜和细胞基质。由于微管很可能被用作生物传感器,因此该特征可用于揭示毒性肿瘤。此外,细胞中的物理相邻情况在微管的动态稳定性响应中将是突出的,例如膜和细胞基质。由于微管很可能被用作生物传感器,因此该特征可用于揭示毒性肿瘤。此外,细胞中的物理相邻情况在微管的动态稳定性响应中将是突出的,例如膜和细胞基质。由于微管很可能被用作生物传感器,因此该特征可用于揭示毒性肿瘤。
更新日期:2020-05-02
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