All Title Author
Keywords Abstract

Publish in OALib Journal
ISSN: 2333-9721
APC: Only $99

ViewsDownloads

Relative Articles

More...

Microtubule Biomechanical Properties under Deformation and Vibration

DOI: 10.4236/jbise.2022.151004, PP. 36-43

Keywords: Microtubule, Vibration, Deformation, Finite Element Method, Biomechanical Properties

Full-Text   Cite this paper   Add to My Lib

Abstract:

Microtubules (MT) are of great engineering importance due to their potential applications as sensors, actuators, drug delivery, and others. The MT properties/mechanics are greatly affected by their biomechanical environment and it is important to understand their biological function. Although microtubule mechanics has been extensively studied statically, very limited studies are devoted to the biomechanical properties of microtubule undergoing deformation and vibration. In this study, we investigate the biomechanical properties of the microtubule under bending deformation and free vibration using 3D finite element analysis. Results of force-deformation and vibration frequencies and mode shapes obtained from the finite element analysis are presented. The results indicate that the force-deformation characteristics vary with time/phases and become non-linear at higher time intervals. The modes of MT vibration and frequencies are in the GHz range and higher modes will involve combined bending, torsion and axial deformations. These higher modes and shapes change their deformation which might have implications for physiological and biological behavior, especially for sensing and actuation and communication to cells. The bending force-deformation characteristics and vibration modes and frequencies should help further understand the biomechanical properties of self-assembled microtubules.

References

[1]  1.Alberts, B. (2017) Molecular Biology of the Cell. Garland Science, New York.
https://doi.org/10.1201/9781315735368
[2]  Valdman, D., Atzberger, P.J., Yu, D., Kuei, S. and Valentine, M.T. (2012) Spectral Analysis Methods for the Robust Measurement of the Flexural Rigidity of Biopolymers. Biophysical Journal, 102, 1144-1153.
https://doi.org/10.1016/j.bpj.2012.01.045
[3]  Dogterom, M. and Surrey, T. (2013) Microtubule Organization in Vitro. Current Opinion in Cell Biology, 25, 23-29.
https://doi.org/10.1016/j.ceb.2012.12.002
[4]  Hawkins, T., Mirigian, M., Yasar, M.S. and Ross, J.L. (2010) Mechanics of Microtubules. Journal of Biomechanics, 43, 23-30.
https://doi.org/10.1016/j.jbiomech.2009.09.005
[5]  Pampaloni, F., et al. (2006) Thermal Fluctuations of Grafted Microtubules Provide Evidence of a Length-Dependent Persistence Length. Proceedings of the National Academy of Sciences of the United States of America, 103, 10248-10253.
https://doi.org/10.1073/pnas.0603931103
[6]  Verhey, K.J. and Gaertig, J. (2007) The Tubulin Code. Cell Cycle, 6, 2152-2160.
https://doi.org/10.4161/cc.6.17.4633
[7]  Bachand, G.D., Spoerke, E.D. and Stevens, M.J. (2015) Microtubule-Based Nanomaterials: Exploiting Nature’s Dynamic Biopolymers. Biotechnology and Bioengineering, 112, 1065-1073.
https://doi.org/10.1002/bit.25569
[8]  Liew, K., Xiang, P. and Zhang, L. (2015) Mechanical Properties and Characteristics of Microtubules: A Review. Composite Structures, 123, 98-108.
https://doi.org/10.1016/j.compstruct.2014.12.020
[9]  Kis, A., Kasas, S., Babić, B., Kulik, A., Benoit, W., Briggs, G., Schőnenberger, C., Catsicas, S. and Forro, L. (2002) Nanomechanics of Microtubules. Physical Review Letters, 89, Article ID: 248101.
https://doi.org/10.1103/PhysRevLett.89.248101
[10]  Kabir, A.M.R., Inoue, D., Hamano, Y., Mayama, H., Sada, K. and Kakugo, A. (2014) Biomolecular Motor Modulates Mechanical Property of Microtubule. Biomacromolecules, 15, 1797-1805.
https://doi.org/10.1021/bm5001789
[11]  Li, S., Wang, C. and Nithiarasu, P. (2017) Three-Dimensional Transverse Vibration of Microtubules. Journal of Applied Physics, 121, Article ID: 234301.
https://doi.org/10.1063/1.4986630
[12]  Li, S., Wang, C. and Nithiarasu, P. (2019) Electromechanical Vibration of Microtubules and Its Application to Biosensors. Journal of the Royal Society Interface, 16, Article ID: 20180826.
https://doi.org/10.1098/rsif.2018.0826
[13]  Aria, I. and Biglari, H. (2018) Computational Vibration and Buckling Analysis of Microtubule Bundles Based on Nonlocal Strain Gradient Theory. Applied Mathematics and Computation, 321, 313-332.
https://doi.org/10.1016/j.amc.2017.10.050
[14]  Kucera, O., Havelka, D. and Cifra, M. (2017) Vibrations of Microtubules: Physics That Has Not Met Biology Yet. Wave Motion, 72, 13-22.
https://doi.org/10.1016/j.wavemoti.2016.12.006
[15]  Havelka, D., Deriu, M.A., Cifra, M. and Kucera, O. (2017) Deformation Pattern in Vibrating Microtubule: Structural Mechanics Study Based on an Atomistic Approach. Scientific Reports, 7, Article No. 4227.
https://doi.org/10.1038/s41598-017-04272-w
[16]  Motamedi, M. and Mashhadi, M.M. (2016) Dynamic Simulation and Mechanical Properties of Microtubules. Journal of Solid Mechanics, 8, 781-787.
[17]  Wang, C.Y., Ru, C.Q. and Mioduchowski, A. (2006) Vibration of Microtubules as Orthotropic Elastic Shells. Physica E, 35, 48-56.
https://doi.org/10.1016/j.physe.2006.05.008
[18]  Kim, J.W., Li, N., Pidaparti, R. and Wang, X.Q. (2018) Microtubular Protofilament Analysis Based on Molecular Level Tubulin Interaction. MCB Molecular and Cellular Biomechanics, 15, 127-141.
[19]  Pidaparti, R. and Jakkam, D. (2020) Mechanical Properties of Self-Assembled Microtubule Curved Protofilaments. Journal of Biomedical Science and Engineering, 13, 37-44.
https://doi.org/10.4236/jbise.2020.133003
[20]  Mofrad, M.R. and Kamm, R.D. (2006) Cytoskeletal Mechanics: Models and Measurements in Cell Mechanics. Cambridge University Press, Cambridge.
[21]  Deriu, M.A., Enemark, S., Soncini, M., Montevecchi, F.M. and Redaelli, A. (2007) Tubulin: From Atomistic Structure to Supramolecular Mechanical Properties. Journal of Materials Science, 42, 8864-8872.
https://doi.org/10.1007/s10853-007-1784-6
[22]  Peter, S.J. and Mofrad, M.R. (2012) Computational Modeling of Axonal Microtubule Bundles under Tension. Biophysical Journal, 102, 749-757.
https://doi.org/10.1016/j.bpj.2011.11.4024
[23]  Zeiger, A. and Layton, B.E. (2008) Molecular Modeling of the Axial and Circumferential Elastic Moduli of Tubulin. Biophysical Journal, 95, 3606-3618.
https://doi.org/10.1529/biophysj.108.131359
[24]  Odde, D.J., Ma, L., Briggs, A.H., DeMarco, A. and Kirschner, M.W. (1999) Microtubule Bending and Breaking in Living Fibroblast Cells. Journal of Cell Science, 112, 3283-3288.
https://doi.org/10.1242/jcs.112.19.3283
[25]  Kononova, O., Kholodov, Y., Theisen, K., Marx, K.A., Dima, R.I., Ataullakhanov, F.I., Grishchuk, E. and Barsegov, V. (2014) Tubulin Bond Energies and Microtubule Biomechanics Determined from Nanoindentation in Silico. Journal of the American Chemical Society, 136, 17036-17045.
https://doi.org/10.1021/ja506385p

Full-Text

comments powered by Disqus

Contact Us

service@oalib.com

QQ:3279437679

WhatsApp +8615387084133

WeChat 1538708413