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Microtubules lattice equal-frequency maps: The dynamics of relief changes in dependence on elastic properties, tubulins’ dipole–dipole interaction and viscosity

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

Abstract

Microtubules lattice equal-frequency maps are obtained in the paper. Microtubule vibrational properties depending on their elastic properties, tubulins’ dipole–dipole interaction and the surrounding solution viscosity are analyzed in detail. Calculations have been made for different elastic constant values, damping coefficients and for different dipole moment directions. The relief of equal-frequency maps has also been investigated in accordance with a wave polarization direction. The dynamics of equal-frequency map relief changes have been analyzed. Its considerable dependence on viscosity, the direction of tubulins’ dipole–dipole moment and polarization has been demonstrated. The dynamics of changing the maps areas corresponding to damping harmonic oscillations and exponential damping law has been considered. Possible factors contributing to the microtubule’s structural damage are analyzed.

Suggested Citation

  • Shirmovsky, S.Eh. & Shulga, D.V., 2019. "Microtubules lattice equal-frequency maps: The dynamics of relief changes in dependence on elastic properties, tubulins’ dipole–dipole interaction and viscosity," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 534(C).
    • Handle: RePEc:eee:phsmap:v:534:y:2019:i:c:s0378437119312567
    DOI: 10.1016/j.physa.2019.122165
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    References listed on IDEAS

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    1. Hameroff, Stuart & Penrose, Roger, 1996. "Orchestrated reduction of quantum coherence in brain microtubules: A model for consciousness," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 40(3), pages 453-480.
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    Cited by:

    1. Shirmovsky, S.Eh. & Shulga, D.V., 2021. "Quantum relaxation effects in Microtubules," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 582(C).
    2. Shirmovsky, S.Eh. & Shulga, D.V., 2023. "Quantum relaxation processes in microtubule tryptophan system," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 617(C).

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