Topological phonon modes and their role in dynamic instability of microtubules

Emil Prodan, Camelia Prodan

Research output: Contribution to journalArticlepeer-review

183 Scopus citations

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.

Original languageEnglish (US)
Article number248101
JournalPhysical Review Letters
Volume103
Issue number24
DOIs
StatePublished - Dec 7 2009

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

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