The effect of integration time on fluctuation measurements: calibrating an optical trap in the presence of motion blur

Physics – Biological Physics

Scientific paper

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12 pages, 6 figures, revtex4; published in Optics Express. http://www.opticsinfobase.org/abstract.cfm?URI=oe-14-25-12517

Scientific paper

10.1364/OE.14.012517

Dynamical instrument limitations, such as finite detection bandwidth, do not simply add statistical errors to fluctuation measurements, but can create significant systematic biases that affect the measurement of steady-state properties. Such effects must be considered when calibrating ultra-sensitive force probes by analyzing the observed Brownian fluctuations. In this article, we present a novel method for extracting the true spring constant and diffusion coefficient of a harmonically confined Brownian particle that extends the standard equipartition and power spectrum techniques to account for video-image motion blur. These results are confirmed both numerically with a Brownian dynamics simulation, and experimentally with laser optical tweezers.

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