  Dynamic instability of microtubules is considered using frameworks of
non-linear thermodynamics and non-equilibrium reaction-diffusion systems.
Stochastic assembly/disassembly phases in the polymerization dynamics of
microtubules are treated as a result of collective clusterization of
microdefects (holes in structure). The model explains experimentally observed
power law dependence of catastrophe frequency from the microtubule growth rate.
Additional reaction-diffusion-precipitation model is developed to account for
kinetic limitations in microtubule dynamics. It is shown that large scale
periodic microtubules length fluctuations are accompanied by concentration
autowaves. We built corresponding parametric diagram mapping areas of
stationary, non-stationary and metastable solutions. The loss of stability for
the stationary solutions happens through bifurcation of Andronov-Hopf. Using
parametric diagram we classify cytostatic effect of microtubule stabilizing
drugs in four major classes and analyze their compatibility and possible
synergistic effect for cancer treatment therapy.
