The effects of viscoelastic fluid on kinesin transport

Kinesins are molecular motors which transport various cargoes in the cytoplasm of cells and are involved in cell division. Previous models for kinesins have only targeted their in vitro motion. Thus, their applicability is limited to kinesin moving in a fluid with low viscosity. However, highly viscoelastic fluids have considerable effects on the movement of kinesin. For example, the high viscosity modifies the relation between the load and the speed of kinesin. While the velocity of kinesin has a nonlinear dependence with respect to the load in environments with low viscosity, highly viscous forces change that behavior. Also, the elastic nature of the fluid changes the velocity of kinesin. The new mechanistic model described in this paper considers the viscoelasticity of the fluid using subdiffusion. The approach is based on a generalized Langevin equation and fractional Brownian motion. Results show that a single kinesin has a maximum velocity when the ratio between the viscosity and elasticity is about 0.5. Additionally, the new model is able to capture the transient dynamics, which allows the prediction of the motion of kinesin under time varying loads.Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/98600/1/0953-8984_24_37_375103.pd

Sensitivity Enhancement of Modal Frequencies for Sensing using System Augmentation and Optimal Feedback Auxiliary Signals

Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/76542/1/AIAA-2008-2085-567.pd

Damage detection in nonlinear systems using system augmentation and generalized minimum rank perturbation theory

A damage detection method is developed for nonlinear systems using model updating. The method uses a nonlinear discrete model of the system and the form of the nonlinearities to create an augmented linear model of the system. A modal analysis technique that uses forcing that is known but not prescribed is then used to solve for the modal properties of the augmented linear system after the onset of damage. Due to the specialized form of the augmentation, nonlinear damage causes asymmetrical damage in the updated matrices. Minimum rank perturbation theory is generalized so that it may be applied to the augmented system and can handle these asymmetrical damage scenarios. The method is demonstrated using numerical data from several nonlinear mass–spring systems.Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/49014/2/sms5_5_037.pd

Exploiting Chaotic Dynamics for Detecting Parametric Variations in Aeroelastic Systems

Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/76656/1/AIAA-9556-135.pd

Measurement Point Selection and Modal Damping Identification for Bladed Disks

Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/90656/1/AIAA-2011-1783-756.pd

Reduced Order Modeling for Nonlinear Vibration Analysis of Mistuned Multi-Stage Bladed Disks with a Cracked Blade

Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/90668/1/AIAA-2011-2065-784.pd