Topological phonon modes and their role in dynamic instability of microtubules

Document Type

Article

Publication Date

12-7-2009

Abstract

Microtubules (MTs) are self-assembled hollow protein tubes playing important functions in live cells. Their building block is a protein called tubulin, which self-assembles in a particulate 2 dimensional lattice. We study the vibrational modes of this lattice and find Dirac points in the phonon spectrum. We discuss a splitting of the Dirac points that leads to phonon bands with nonzero Chern numbers, signaling the existence of topological vibrational modes localized at MTs edges, which we indeed observe after explicit calculations. Since these modes are robust against the large changes occurring at the edges during the dynamic cycle of the MTs, we can build a simple mechanical model to illustrate how they would participate in this phenomenon. © 2009 The American Physical Society.

Identifier

71549136835 (Scopus)

Publication Title

Physical Review Letters

External Full Text Location

https://doi.org/10.1103/PhysRevLett.103.248101

e-ISSN

10797114

ISSN

00319007

Issue

24

Volume

103

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