Nonlocal orthotropic shell model applied on wave propagation in microtubules

Wang, Jianbiao; Gao, Yuanwen

doi:10.1016/j.apm.2016.01.013

Cited by 11 publications

(2 citation statements)

References 31 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…According to this theory, we have the following differential equation for the constitutive response of microtubules. In which σ , C and ε are, respectively, the stress, elasticity and strain tensors; moreover, ∇ 2 and e 0 l c stand for the Laplace operator and nonlocal constant, respectively; also, l c and e 0 are symbols, which are used for calibrating the model and incorporating the effects of the internal configuration of the structure [38,39]. In addition to nonlocal effects, surface influences have a crucial role to play in the mechanics of ultra small structures such as microtubules.…”

Section: Buckling Of Microtubulesmentioning

confidence: 99%

Buckling Behaviour of Protein Microtubules

Farajpour

Ghayesh

Farokhi³

et al. 2019

ARME

View full text Add to dashboard Cite

Protein microtubules take part in several cellular activities including mitosis, cell movement and migration. During these cellular activities, they can be subject to various types of external loading and pressure. In this study, the bucking of protein microtubules obtained via scale-dependent continuum models are investigated. Several continuum-based formulations, which have been proposed for the buckling of protein microtubules, are reviewed briefly. Finally, the effects of surface elastic properties on the growth rate of buckling in protein microtubules are studied.

show abstract

Section: Buckling Of Microtubulesmentioning

confidence: 99%

Buckling Behaviour of Protein Microtubules

Farajpour

Ghayesh

Farokhi³

et al. 2019

ARME

View full text Add to dashboard Cite

show abstract

“…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.…”

Section: Introductionmentioning

confidence: 99%

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

Zhang

Wang

2017

Physics Letters A

View full text Add to dashboard Cite

show abstract

Data‐driven reduced‐order model of microtubule mechanics

Feng

Mitran

2017

Cytoskeleton

View full text Add to dashboard Cite

A beam element is constructed for microtubules based upon data reduction of the results from atomistic simulation of the carbon backbone chain of αβ-tubulin dimers. The database of mechanical responses to various types of loads from atomistic simulation is reduced to dominant modes. The dominant modes are subsequently used to construct the stiffness matrix of a beam element that captures the anisotropic behavior and deformation mode coupling that arises from a microtubule's spiral structure. In contrast to standard Euler-Bernoulli or Timoshenko beam elements, the link between forces and node displacements results not from hypothesized deformation behavior, but directly from the data obtained by molecular scale simulation. Differences between the resulting microtubule data-driven beam model (MTDDBM) and standard beam elements are presented, with a focus on coupling of bending, stretch, shear deformations. The MTDDBM is just as economical to use as a standard beam element, and allows accurate reconstruction of the mechanical behavior of structures within a cell as exemplified in a simple model of a component element of the mitotic spindle.

show abstract

Nonlocal orthotropic shell model applied on wave propagation in microtubules

Cited by 11 publications

References 31 publications

Buckling Behaviour of Protein Microtubules

Buckling Behaviour of Protein Microtubules

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

Data‐driven reduced‐order model of microtubule mechanics

Contact Info

Product

Resources

About