Vibrations of microtubules: Physics that has not met biology yet

O Kučera, D Havelka, M Cifra - Wave Motion, 2017 - Elsevier
There has been extensive study on the vibration dynamics and fluctuations of microtubules
in the quest for understanding the relation between microtubule material properties and their …

[HTML][HTML] Influence of carbon nanotubes on the buckling of microtubule bundles in viscoelastic cytoplasm using nonlocal strain gradient theory

A Farajpour, A Rastgoo - Results in physics, 2017 - Elsevier
Carbon nanotubes are a new class of microtubule-stabilizing agents since they interact with
protein microtubules in living cells, interfering with cell division and inducing apoptosis. In …

Rayleigh‐type wave propagation in exponentially graded initially stressed composite structure resting on rigid and yielding foundations

S Saha, AK Singh, A Chattopadhyay - Applied Mathematics and …, 2022 - Elsevier
The present study focuses on analyzing the characteristics of Rayleigh-type wave
propagating in a composite structure comprised of exponentially graded orthotropic …

Vibration of bioliquid-filled microtubules embedded in cytoplasm including surface effects using modified couple stress theory

AG Arani, M Abdollahian, MH Jalaei - Journal of theoretical biology, 2015 - Elsevier
This paper aims to investigate vibrational behavior of bioliquid-filled microtubules (MTs)
embedded in cytoplasm considering surface effects. The interactions between the MT …

Wave propagation in porous functionally graded piezoelectric nanoshells resting on a viscoelastic foundation

X Wang, J Liu, B Hu, Z Li, B Zhang - Physica E: Low-dimensional Systems …, 2023 - Elsevier
The wave propagation characteristics of a porous functionally graded piezoelectric material
(FGPM), that is, FGPM nanoshells, resting on a viscoelastic foundation are analyzed. First …

Deformation pattern in vibrating microtubule: Structural mechanics study based on an atomistic approach

D Havelka, MA Deriu, M Cifra, O Kučera - Scientific Reports, 2017 - nature.com
The mechanical properties of microtubules are of great importance for understanding their
biological function and for applications in artificial devices. Although microtubule mechanics …

Torsional wave propagation in multiwalled carbon nanotubes using nonlocal elasticity

M Arda, M Aydogdu - Applied Physics A, 2016 - Springer
Torsional wave propagation in multiwalled carbon nanotubes is studied in the present work.
Governing equation of motion of multiwalled carbon nanotube is obtained using Eringen's …

[HTML][HTML] Effect of viscoelastic medium on wave propagation along protein microtubules

M Safeer, M Taj, SS Abbas - AIP Advances, 2019 - pubs.aip.org
An Orthotropic Kelvin-like model is developed here to study wave dispersion relation along
microtubules when they are embedded in viscoelastic material. Owing anisotropicity of …

A mesh-free computational framework for predicting vibration behaviors of microtubules in an elastic medium

P **ang, LW Zhang, KM Liew - Composite Structures, 2016 - Elsevier
An element-free computational framework is developed for the simulation of vibration
characterizations of microtubules immersed in an elastic medium. The considered …

[HTML][HTML] Nonlocal orthotropic shell model applied on wave propagation in microtubules

J Wang, Y Gao - Applied Mathematical Modelling, 2016 - Elsevier
Wave propagation in microtubules is investigated based on the nonlocal elastic theory. The
complete analytical formulas of wave velocity are obtained, and the results demonstrate that …