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

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. (C) 2019 Elsevier B.V. All rights reserved.