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Thursday, March 25, 2010

Monte-Carlo simulation of optical trap stiffness measurement by thermalnoise driven method

Li, J., Yu, Y., Zhang, X.

Optical trap stiffness of the optical tweezers must be accurately calibrated, before it is used to measure the mechanical characteristics of submicron particles or biological macromolecules. It is very important to choose a precise calibration method for exact measurement. With Monte-Carlo method, the signal sequence of displacement varies with time during five seconds for a particle in optical trap is simulated, and the simulative sampling frequency is 105 Hz. The optical trap stiffness is calibrated by three thermal-noise-driven analysis methods based on the experimental data in the condition of different noise levels and optical trap deviations. The results show that the ideal errors are all less than 2.5% for the three methods. The errors introduced by optical trap deviation can be eliminated when we calibrate the trap stiffness with the new coordinate of the particle's displacement sequence, which is the difference between the original coordinate and its average. The mean square displacement method (MSDM) has a better anti-noise ability than the Boltzmann distribution method (BDM) and power spectrum method (PSM).

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