Analysis of microtubule rigidity using hydrodynamic flow and thermal fluctuations.

We report the use of two independent new methods to measure the flexural rigidity of microtubules. Microtubules were grown off axonemal pieces adhering to a glass coverslip. In the first method, a hydrodynamic flow was applied to microtubules and the flexural rigidity was derived from the analysis of the bending shape of the microtubules at equilibrium in the flow. In the second method, the flexural rigidity was derived from the thermal fluctuations of the free end of axoneme-bound microtubules. With both methods, the flexural rigidity of standard GDP microtubules was estimated to be 0.85 +/- 0.2 x 10(-23) newtons x m2 which corresponded to a persistence length of 2 +/- 0.2 mm. Binding of ligands known to affect the biochemical properties of microtubules affected their rigidity. The structural analogs of inorganic phosphate AlF4- and [BeF3-, H2O], which bind to the site of the gamma-phosphate of GTP on GDP microtubule and reconstitute the GDP-Pi microtubule intermediate state of GTP hydrolysis, cause an approximately 3-fold increase in microtubule flexural rigidity and persistence length. Taxol and taxotere, antitumoral microtubule-stabilizing drugs, in contrast cause a decrease in flexural rigidity and appear to affect the three-dimensional superstructure of microtubules, which can no longer be considered as semi-flexible rods. The relationship between the mechanical properties of microtubules and their biological function is discussed.