Coupling effects of initial stress and scale characteristics on the dynamic behavior of bioliquid-filled microtubules immersed in cytosol

In this paper, an analytical method is presented to solve the influence of initial stress and scale effect on the dynamic behaviors of bioliquid-filled microtubule, utilizing the non-local elastic theory containing long-range forces among atoms and the surface characteristics of nonstructural materials. Results show that the influences of surface characteristics on the couple vibration frequency of bioliquid-filled microtubule with initial axial stress is larger than that of long-range forces among atoms when the density of bioliquid is larger the density of microtubule, the influences of initial stress on the kth order vibration frequency of individual microtubule gradually become stables when the surface modulus is larger than a given value, and the influence of surrounding cytosol on the transverse vibration of an individual microtubule immersed cytosol increases as axially compressed loading exerted on the individual microtubule increases.