The nano scale vibration of protein microtubules based on modified strain gradient theory

Multiscale FEM simulations of cross‐linked actin network embedded in cytosol with the focus on the filament orientation

“…69 For this reason, newer contributions simulate the surrounding biopolymers by treating them as a homogeneous elastic foundation. [70][71][72][73][74] The RVE proposed in the present contribution is advantageous from this point of view since it does not require any artificial foundation. The simulation of crosslinkers and increased stability of the cytoskeleton is achieved by introducing the cytosol as an additional phase.…”

Theoretical study of the effect of shear deformable shell model, elastic foundation and size dependency on the vibration of protein microtubule

“…Zeverdejani and Tadi considered the MT as an Euler-Bernoulli beam and studied linear and nonlinear vibration of MTs with modified strain gradient theory and they showed nonlinear frequencies are usually bigger than linear ones (Zeverdejani & Tadi, 2013, Tadi Beni & Zeverdejani, 2015.…”

Boundary condition-selective length dependence of the flexural rigidity of microtubules

“…The mechanical properties of MTs thus become a current topic of great interest in the areas of cell mechanics and nano-biomaterials [1]. Specifically, among these properties the flexural rigidity (FR) is an important parameter for characterising bending [6][7][8], buckling [9][10][11][12][13][14][15][16][17], vibration [18][19][20][21][22][23][24] and wave propagation [25][26][27][28] of MTs.…”