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Relaxation effects in cell microtubule under the influence of an external electric field: The mean field
V A Saenko1, S Eh Shirmovsky2, D V Shulga3
1Far Eastern Federal University, Institute of High Technologies and Advanced Materials, Department of General and Experimental Physics, 10Ajax settlement, Russkiy Island, Vladivostok, Primorsky Region, 690922, Russia.
Abstract:
The quantum relaxation processes in the microtubule dipole system under the action of an external electric field have been studied. The study is based on the Born-Markov equation. Tubulins dipole-dipole interaction and the internal dynamics of the dipole system that is determined by the quantum tunneling effect in the double potential well is taken into account. A system of differential equations defining the relaxation processes in a microtubule consisting of 676 tubulins is obtained. It was shown that the relaxation nature strongly depends on the magnitude of the dipole-dipole interaction, the internal dynamics of the dipole system, and the influence of the dissipative process. The decoherence time equal to 10-14 s - 10-9 s depending on the features of the relaxation process was determined. It has been proved that, the relaxation can have a twofold character, defining mixed or pure states.
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