Abstract

To design anticancer drug Taxol working more efficiently, looking at details of microtubules' dynamic behavior has become more important for researchers worldwide. According to this issue, dynamic stability analysis of microtubule-associated proteins (MAPs) using the state-space technique based on three-dimension elasticity theory is presented. Besides, the MAPs structure is under various body pressure. The state-space technique is applied along the radial direction, and the differential quadrature method (DQM) along the axial direction in the case of another end supports. The novelty of the current study considers the various boundary conditions for MAPs structure and body pressure, which is implemented on the proposed model using the theory of Three-dimension (3D) elasticity. The validity of applied solutions is examined by comparing results with those of available literature, experimental data, and molecular dynamic (MD) simulation outcomes. A thorough parametric investigation is conducted on the effect of initial stress, boundary conditions, and geometry of the shell (such as mid-radius to thickness and length to mid-radius ratios) on the dynamic stability of the MAPs structures under initial stress.

摘要

为了设计出更有效的抗癌药物紫杉醇，研究微管动态行为的细节对于全世界的研究人员来说变得更加重要。针对这一问题，提出了使用基于三维弹性理论的状态空间技术对微管相关蛋白 (MAP) 进行动态稳定性分析。此外，MAPs 结构承受着各种体压。沿径向应用状态空间技术，在另一端支持的情况下沿轴向应用微分求积法(DQM)。当前研究的新颖之处在于考虑了 MAP 结构和身体压力的各种边界条件，这是使用三维 (3D) 弹性理论在所提出的模型上实施的。通过将结果与现有文献、实验数据和分子动力学 (MD) 模拟结果进行比较，检查应用解决方案的有效性。对初始应力、边界条件和壳的几何形状（例如中半径与厚度和长度与中半径之比）对初始应力下 MAP 结构的动态稳定性的影响进行了全面的参数研究。