Domains of neuronal microtubule-associated proteins and flexural rigidity of microtubules.

Microtubules are flexible polymers whose mechanical properties are an important factor in the determination of cell architecture and function. It has been proposed that the two most prominent neuronal microtubule-associated proteins (MAPs), tau and MAP2, whose microtubule binding regions are largely homologous, make an important contribution to the formation and maintenance of neuronal processes, putatively by increasing the rigidity of microtubules. Using optical tweezers to manipulate single microtubules, we have measured their flexural rigidity in the presence of various constructs of tau and MAP2c. The results show a three- or fourfold increase of microtubule rigidity in the presence of wild-type tau or MAP2c, respectively. Unexpectedly, even low concentrations of MAPs promote a substantial increase in microtubule rigidity. Thus at approximately 20% saturation with full-length tau, a microtubule exhibits >80% of the rigidity observed at near saturating concentrations. Several different constructs of tau or MAP2 were used to determine the relative contribution of certain subdomains in the microtubule-binding region. All constructs tested increase microtubule rigidity, albeit to different extents. Thus, the repeat domains alone increase microtubule rigidity only marginally, whereas the domains flanking the repeats make a significant contribution. Overall, there is an excellent correlation between the strength of binding of a MAP construct to microtubules (as represented by its dissociation constant Kd) and the increase in microtubule rigidity. These findings demonstrate that neuronal MAPs as well as constructs derived from them increase microtubule rigidity, and that the changes in rigidity observed with different constructs correlate well with other biochemical and physiological parameters.

Flexural rigidity of microtubules measured with the use of optical tweezers.

The flexural rigidity of single microtubules is measured using optical tweezers. Two new methods are presented. In both the optical forces of the laser trap are used to directly manipulate microtubules grown off the ends of Chlamydomonas axonemes. The shapes of the microtubules are observed by video microscopy as the hydrodynamic forces of viscous flow counteract the elastic restoring forces when the microtubules are moved actively relative to the surrounding buffer medium. To determine the flexural rigidity, the bending of a microtubule is analyzed under a given velocity distribution along its length. Microtubules incubated with taxol after polymerization are measured to be more flexible than those without taxol added. On the other hand, MAPs are shown to increase microtubule stiffness.

Calibration of light forces in optical tweezers.

Axial and lateral optical-trapping forces on polystyrene and glass microbeads are measured as a function of sphere size and axial trapping position inside a specimen chamber containing water. A strong decrease of the light forces with increasing distance of the trapping position from the coverslip of the chamber is found. It is shown that beyond a certain maximal distance the trapping efficiency decreases substantially but trapping becomes possible in different, axial positions. We consider these effects to be accounted for by spherical aberration of the focused laser beam.