The paper investigates quantum dynamics of a system of microtubule tubulins electric dipole moments. Electric dipoles represent two-level pseudo-spin systems, with one of the two polarized tubulin states corresponding to each of a pseudo-spin one. The pseudo-spin system behavior with time has been analyzed on basis of the Born–Markov formalism. The decoherence and dissipation processes caused by pseudo-spin–boson interaction have been considered. The problem of a possible signal propagation mechanism in the microtubule dipole–dipole system, which can be exclusively quantum in nature, has been discussed. It has been determined that the decoherence time depends considerably on dissipative processes in microtubules. Thus, the decoherence time in case of weak dissipation or absence of it equals $10^{-11}\text{–}10^{-10}$ s. The decoherence time in the presence of dissipation process has been found to be $1.86\cdot 10^{-13}$ s. The temperature dependence of decoherence process has been considered. It has been stated that temperature values are the major factor influencing the dissipation-less decoherence time. The results obtained in the paper make it possible to describe the microtubule as a system in which quantum relaxation processes are important and comparable in time with those occurring in bio systems.

该论文研究了微管微管蛋白电偶极矩系统的量子动力学。电偶极子代表两级假自旋系统，两个极化微管蛋白状态之一对应于每个假自旋状态。伪自旋系统随时间的行为已经在 Born-Markov 形式主义的基础上进行了分析。已经考虑了由伪自旋-玻色子相互作用引起的退相干和耗散过程。已经讨论了微管偶极-偶极系统中可能的信号传播机制的问题，该系统在性质上可以完全是量子的。已经确定退相干时间在很大程度上取决于微管中的耗散过程。因此，在弱耗散或不存在的情况下，退相干时间等于$10^{-11}\text{——}10^{-10}$ s。已发现存在耗散过程时的退相干时间为$1.86\cdot 10^{-13}$ s。已经考虑了退相干过程的温度依赖性。已经说明温度值是影响无耗散退相干时间的主要因素。论文中获得的结果可以将微管描述为一个系统，其中量子弛豫过程很重要，并且与生物系统中发生的那些过程在时间上具有可比性。