title: Small scale effects on the mechanical behaviors of protein microtubules based on the nonlocal elasticity theory.
abstract: Based on the nonlocal elastic theory, small scale effects are considered in the investigation of the mechanical properties of protein microtubules. A new prediction formula for the persistence lengths of microtubules with the consideration of the small scale effect is presented. Subsequently, the buckling of microtubules is studied based on a nonlocal elastic beam model. The predicted results of our model indicate that the length-dependence of persistence length is related not only to the shear terms, but also to the small scale effect. The Eular beam model, which is always considered unable to explain the length-dependence of microtubules, can capture the length-dependence of the persistence length of microtubules with the consideration of the small scale effect. The elastic buckling behaviors of microtubules in viscoelastic surrounding cytoplasm are also considered using the nonlocal Timoshenko beam model in this paper, and the results indicate that the small scale effect of microtubules also plays an important role in the buckling of microtubules.
authors.affiliation: Key Laboratory of Mechanics on Western Disaster and Environment, Ministry of Education, Department of Mechanics and Engineering Science, College of Civil Engineering and Mechanics, Lanzhou University, Lanzhou, PR China. ywgao@lzu.edu.cn
authors.forename: Yuanwen
authors.initials: Y
authors.lastname: Gao
authors.forename: Fang-Ming
authors.initials: FM
authors.lastname: Lei
mesh_terms: D003593:Cytoplasm / Q000737:chemistry; D004548:Elasticity; D008868:Microtubule Proteins / Q000737:chemistry*; D008870:Microtubules / Q000737:chemistry*; D008956:Models, Chemical; D014783:Viscosity
chemical_list: D008868:Microtubule Proteins