Kinesin walking effect on the size dependent vibration of bioliquid-filled microtubules

MTs are objects made up of ۱۲ to ۱۷ protofilamentsunder in vitro conditions, and typically of ۱۳protofilaments in vivo. MTs almost always function inconcert with the molecular motors that move on them.These motor proteins attach to different consignment,including organelles and vesicles, and pull them alongthe surface of the microtubule. MTs have vital roles inmany cellular processes, as an example of forming themitotic spindle, guiding and facilitating intracellularmotions of organelles, and support kinesins to convertchemical energy into mechanical work. Motivated bythese considerations, in this paper, size dependentvibration analysis of an embedded bioliquid-filledmicrotubule (MT) under a walking kinesin isinvestigated. The MT is assumed as an Euler-Bernoullibeam (EBB) model. The interactions between the MTand its surrounding elastic medium are simulated byPasternak foundation model. The modified couple stresstheory (MCST) is applied to consider small scale effects.The governing motion equations are derived usingenergy method and Hamilton’s principle. Finally thefrequency of the bioliquid-filled MT is obtainedanalytically. The effects of surrounding elastic mediumand small scale parameter on the normalized deflectionof the MT are presented graphically. Results indicate thatincreasing small scale parameter decreases the deflectionof the bioliquid-filled MT for both first and secondmodes. Also, increasing Winkler and Pasternak constantsmakes the system stiffer, therefore, the normalizeddeflection decreases with increasing elastic mediumconstants. Results of the present work is hoped to be ofuse in biomedical and biomechanical applications such asbiosensors.

کلیدواژه ها:

vibration ، microtubule ، bioliquid ، modifiedcouple stress theory ، kinesin.