Elastic, dipole–dipole interaction and viscosity impact on vibrational properties of anisotropic hexagonal microtubule lattice

Shirmovsky, S.Eh.; Shulga, D.V.

doi:10.1016/j.biosystems.2018.03.001

Cited by 6 publications

(3 citation statements)

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“…The frequencies measured in the phonon spectrum and the speed at which we are able to image the microtubule affects the experimentally measured velocity. The predicted velocity of the wave along the helix direction of the microtubule is in the range of 147-167 m s −1 , and for longitudinal waves it is in the range of 1200-1300 m s −1 [7]. The longitudinal wave velocities are higher due to the stronger bonding along a protofilament.…”

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confidence: 94%

“…It has been predicted theoretically that the MT has a phonon spectrum in the frequency regime of kHz to GHz. Most calculations fall in the GHz regime for longitudinal vibration modes and Atanasov predicted tranverse waves to be in the kHz regime [7][8][9][10][11]. The loss factor due to damping in the buffer solution has been estimated to be 0.01 up to 1000 [10].…”

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confidence: 99%

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Experimentally measured phonon spectrum of microtubules

Aslam

Prodan

2019

J. Phys. D: Appl. Phys.

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Microtubules are self-assembled protein cylinders with important mechanical roles inside living cells. Here we present an experimental method to measure the transversal collective dynamic modes of taxol stabilized microtubules in vitro. We treat the microtubule as a lattice of particles interacting with harmonic potentials and we use Fourier decomposition of the shape of the microtubule under excitation from thermal energy. We report the phonon spectrum due to these modes in MHz frequencies and the sound velocity is in the order of mm s−1.

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confidence: 94%

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confidence: 99%

Experimentally measured phonon spectrum of microtubules

Aslam

Prodan

2019

J. Phys. D: Appl. Phys.

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“… Thackston et al (2019) measured the electrical field produced by vibrations of the microtubule lattice and showed that a vibrating MT exerts significant forces on electric dipoles. There are several other articles that handle the vibrational properties of MTs ( Shirmovsky and Shulga, 2018 ; Taj and Zhang, 2012 ). The elastic vibrations of the tubulins around their equilibrium position within the network are called phonons ( Sirenko et al, 1996a , Sirenko et al, 1996b ; Stroscio and Dutta, 2001 ).…”

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confidence: 99%

Dynamics of exciton polaron in microtubule

Nganfo

Kenfack-Sadem

Fotué

et al. 2022

Heliyon

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In this paper, we study the dynamical properties of the exciton-polaron in the microtubule. The study was carried out using a unitary transformation and an approximate diagonalization technique. Analytically, the modeling of exciton-polaron dynamics in microtubules is presented. From this model, the ground state energy, mobility, and entropy of the exciton-polaron are derived as a function of microtubule's parameters. Numerical results show that, depending on the three vibrational modes (protofilament, helix, antihelix) in MTs, exciton-polaron energy is anisotropic and is more present on the protofilament than the helix and absent on the antihelix. Taking into account the variation of the protofilament vibrations by fixing the helix vibrations, exciton-polaron moves between the 1st and 2nd protofilaments. It is seen that the variation of the two vibrations induces mobility of the quasiparticle between the 1st and 15th protofilament. This result points out the importance of helix vibrations on the dynamics of quasiparticles. It is observed that the mobility of the exciton polaron and the entropy of the system are strongly influenced by the vibrations through the protofilament and helix. The effects of the one through the antihelix is negligible. The entropy of the system is similar to that of mobility. Confirming that the quasiparticles move in the protofilament faster than in the helix.

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Modeling of the entangled states transfer processes in microtubule tryptophan system

Shirmovsky

Chizhov

2023

Biosystems

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Elastic, dipole–dipole interaction and viscosity impact on vibrational properties of anisotropic hexagonal microtubule lattice

Cited by 6 publications

References 50 publications

Experimentally measured phonon spectrum of microtubules

Experimentally measured phonon spectrum of microtubules

Dynamics of exciton polaron in microtubule

Modeling of the entangled states transfer processes in microtubule tryptophan system

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