Daneshmand Farhang
School of Mechanical Engineering, Shiraz University, Iran.
Proc Inst Mech Eng H. 2012 Aug;226(8):589-99. doi: 10.1177/0954411912449945.
Microtubules are key components of the cytoskeleton and perform a variety of functions, including chromosome movement during cell division, intracellular transport of materials, movement of organelles and intracellular tracking. A combination of essential and up-to-date methods is needed for investigating the biology of microtubules and understanding the mechanisms of microtubule-drug interaction. Coupled cytosol-microtubule mechanical vibrations of microtubules are studied in this article. Such investigations provide helpful insights on the functional mechanisms of microtubules and their interactions with other proteins and drugs. The viscous cytosol and the microtubule are coupled through the continuity condition across the microtubule-cytosol interface. The stress field in the cytosol induced by vibrating microtubule is analytically determined and the coupled circumferential vibrations of the cytosol-microtubule system are investigated by developing a coupled polynomial eigenvalue problem. Finally, the variations of vibration frequencies of a coupled system with cytosol dynamic viscosity, and microtubule circumferential Young's modulus are examined. Furthermore, the validity of the present analysis is confirmed by comparing the results with those obtained from the literature.
微管是细胞骨架的关键组成部分，执行多种功能，包括细胞分裂过程中的染色体移动、细胞内物质运输、细胞器移动和细胞内追踪。研究微管生物学并理解微管与药物相互作用的机制需要结合必要的和最新的方法。本文研究了微管的胞质溶胶 - 微管耦合机械振动。此类研究为微管的功能机制及其与其他蛋白质和药物的相互作用提供了有益的见解。粘性胞质溶胶和微管通过微管 - 胞质溶胶界面的连续性条件耦合。通过解析确定振动微管在胞质溶胶中诱导的应力场，并通过建立耦合多项式特征值问题来研究胞质溶胶 - 微管系统的耦合圆周振动。最后，研究了耦合系统振动频率随胞质溶胶动态粘度和微管圆周杨氏模量的变化。此外，通过将结果与文献中获得的结果进行比较，证实了本分析的有效性。
