A technique for detecting the displacement of micron-sized optically trapped probes using far-field interference is introduced, theoretically explained, and used to study the motility of the ncd motor protein. Bead motions in the focal plane relative to the optical trap were detected by measuring laser intensity shifts in the back-focal plane of the microscope condenser by projection on a quadrant diode. This detection method is two-dimensional, largely independent of the position of the trap in the field of view and has approximately 10-micros time resolution. The high resolution makes it possible to apply spectral analysis to measure dynamic parameters such as local viscosity and attachment compliance. A simple quantitative theory for back-focal-plane detection was derived that shows that the laser intensity shifts are caused primarily by a far-field interference effect. The theory predicts the detector response to bead displacement, without adjustable parameters, with good accuracy. To demonstrate the potential of the method, the ATP-dependent motility of ncd, a kinesin-related motor protein, was observed with an in vitro bead assay. A fusion protein consisting of truncated ncd (amino acids 195-685) fused with glutathione-S-transferase was adsorbed to silica beads, and the axial and lateral motions of the beads along the microtubule surface were observed with high spatial and temporal resolution. The average axial velocity of the ncd-coated beads was 230 +/- 30 nm/s (average +/- SD). Spectral analysis of bead motion showed the increase in viscous drag near the surface; we also found that any elastic constraints of the moving motors are much smaller than the constraints due to binding in the presence of the nonhydrolyzable nucleotide adenylylimidodiphosphate.

The ncd protein is a dimeric, ATP-powered motor that belongs to the kinesin family of microtubule motor proteins. Here we resolve single mechanochemical cycles of recombinant, dimeric, full-length ncd, using optical-tweezers-based instrumentation and a three-bead, suspended-microtubule assay. Under conditions of limiting ATP, isolated and transient microtubule-binding events exhibit exponentially distributed and ATP-concentration-dependent lifetimes. These events do not involve consecutive steps along the microtubule, quantitatively confirming that ncd is non-processive. At low loads, a single motor molecule produces ATP-triggered working strokes of about 9 nm, which occur at the ends of binding events.

The surface immobilization methods that allowed single-molecule motility experiments with native kinesin have not worked with the ncd motor protein and other kinesin-related motors. To solve this problem, a surfactant (Pluronic F108) was chemically modified with the metal-chelating group nitrilotriacetic acid (NTA) to allow surface immobilization of histidine-tagged microtubule motors. The chelating surfactant provided a convenient and effective method for immobilization and subsequent motility experiments with a dimeric H-tagged ncd protein (H-N195). In experiments with the absorption of H-N195 to polystyrene (PS) beads coated with F108-NTA, a monolayer of H-N195 bound in the presence of Ni2+, while in the absence of Ni2+, the extent of adsorption of H-N195 to PS beads was greatly reduced. In motility experiments with H-N195 immobilized on F108-NTA-coated surfaces, microtubules moved smoothly and consistently at an average speed of 0.16 +/- 0.01 micrometer/s in the presence of Ni2+, while without Ni2+, no microtubules landed on the F108-NTA-coated surfaces. Investigation of H-N195 motility on the F108-NTA surfaces provided several indications that ncd, unlike kinesin, is not processive. First, a critical H-N195 surface density for microtubule motility of approximately 250 molecules/micrometer(2) was observed. Second, microtubule landing rates as a function of H-N195 surface density in the presence of MgATP suggested that several H-N195 molecules must cooperate in microtubule landing. Third, the ATP KM in motility assays (235 microM) was substantially higher than the ATP KM of dimeric ncd in solution (23 microM) [Foster, K. A., Correia, J. J., and Gilbert, S. P. (1998) J. Biol. Chem. 273, 35307-35318].

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The ATP-dependent motility of the kinesin-related non claret disjunctional (ncd) mechanoenzyme was observed in an in vitro bead motility assay using optical tweezers in combination with a new two-dimensional displacement detection method. The detection technique is based on observing the far-field interference pattern formed in the back focal plane (BFP) of the microscope condenser by the illuminating laser focus and the light scattered from the trapped dielectric bead. The ability to observe the two-dimensional motion, with high temporal and spatial resolution, and in a manner largely independent of position in the microscope field-of-view, is the particular advantage of this detection method. In the assay, a fusion protein (GST-N195) of truncated ncd and glutathione-Stransferase was adsorbed to silica beads and the axial and lateral motions of the beads along the microtubule surface were observed. The average axial velocity of the ncd coated beads was 230 ± 30 nm/s (± std. dev.). Spectral analysis of bead motion showed an increase in viscous drag near the surface. Furthermore, we also found that any elastic constraints of the moving motors are much smaller than the constraints due to binding in the presence of the non-hydrolyzable nucleotide adenylylimido-diphosphate (AMP-PNP).