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Dynamic instability of microtubules is considered using frameworks ofnon-linear thermodynamics and non-equilibrium reaction-diffusion systems.Stochastic assembly/disassembly phases in the polymerization dynamics ofmicrotubules are treated as a result of collective clusterization ofmicrodefects (holes in structure). The model explains experimentally observedpower law dependence of catastrophe frequency from the microtubule growth rate.Additional reaction-diffusion-precipitation model is developed to account forkinetic limitations in microtubule dynamics. It is shown that large scaleperiodic microtubules length fluctuations are accompanied by concentrationautowaves. We built corresponding parametric diagram mapping areas ofstationary, non-stationary and metastable solutions. The loss of stability forthe stationary solutions happens through bifurcation of Andronov-Hopf. Usingparametric diagram we classify cytostatic effect of microtubule stabilizingdrugs in four major classes and analyze their compatibility and possiblesynergistic effect for cancer treatment therapy.

Dynamic instabilities in the kinetics of growth and disassembly of microtubules