Mechanical Behavior and Physical Properties of Protein Microtubules in Living Cells Using the Nonlocal Beam Theory
Alawiah M. Alhebshi, A. M. Metwally, K. S. Al-Basyouni, S.R. Mahmoud, Habeeb M. Al‐Solami, Afaf S. Alwabli
Abstract
A biomechanical model for vibrational analysis with characteristics of protein microtubules based on the nanobeam shape inside the cellular structure is presented. Young’s modulus of protein microtubules and unexplained length-dependent flexural rigidity are studied using a higher-order nonlocal shear deformation theory. The governing equations are provided by employing the principle of virtual work. The protein microtubules are considered simply supported for all numerical studies. The obtained results are critically discussed together with the theories as well as demonstrated in each case graphically.
Topics & Concepts
MicrotubuleFlexural rigidityRigidity (electromagnetism)Timoshenko beam theoryModulusWork (physics)Beam (structure)Solid-state physicsShear modulusClassical mechanicsVibrationMaterials sciencePhysicsCondensed matter physicsComposite materialOpticsThermodynamicsQuantum mechanicsBiologyCell biologyMicrotubule and mitosis dynamicsCellular Mechanics and InteractionsNonlocal and gradient elasticity in micro/nano structures