This paper presents a radial basis function based approach to generate simplified models to estimate the trapping probability in optical trapping experiments using offline simulations. The difference form of Langevin’s equation is used to perform physically accurate simulations of a particle under the influence of a trapping potential and is used to estimate trapping probabilities at discrete points in the parameter space. Gaussian radial basis functions combined with kd-tree based partitioning of the parameter space are then used to generate simplified models of trapping probability. We show that the proposed approach is computationally efficient in estimating the trapping probability and that the estimated probability using the simplified models is sufficiently close to the probability estimates from offline simulation data.
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June 2009
Research Papers
Generating Simplified Trapping Probability Models From Simulation of Optical Tweezers System
Ashis Gopal Banerjee,
Ashis Gopal Banerjee
Department of Mechanical Engineering and Institute for Systems Research,
University of Maryland
, College Park, MD 20742
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Arvind Balijepalli,
Arvind Balijepalli
Department of Mechanical Engineering and Institute for Systems Research,
University of Maryland
, College Park, MD 20742; Precision Engineering Division, Manufacturing Engineering Laboratory, National Institute of Standards and Technology
, Gaithersburg, MD 20899
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Satyandra K. Gupta,
Satyandra K. Gupta
Department of Mechanical Engineering and Institute for Systems Research,
e-mail: skgupta@umd.edu
University of Maryland
, College Park, MD 20742
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Thomas W. LeBrun
Thomas W. LeBrun
Precision Engineering Division, Manufacturing Engineering Laboratory,
National Institute of Standards and Technology
, Gaithersburg, MD 20899
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Ashis Gopal Banerjee
Department of Mechanical Engineering and Institute for Systems Research,
University of Maryland
, College Park, MD 20742
Arvind Balijepalli
Department of Mechanical Engineering and Institute for Systems Research,
University of Maryland
, College Park, MD 20742; Precision Engineering Division, Manufacturing Engineering Laboratory, National Institute of Standards and Technology
, Gaithersburg, MD 20899
Satyandra K. Gupta
Department of Mechanical Engineering and Institute for Systems Research,
University of Maryland
, College Park, MD 20742e-mail: skgupta@umd.edu
Thomas W. LeBrun
Precision Engineering Division, Manufacturing Engineering Laboratory,
National Institute of Standards and Technology
, Gaithersburg, MD 20899J. Comput. Inf. Sci. Eng. Jun 2009, 9(2): 021003 (9 pages)
Published Online: May 20, 2009
Article history
Received:
November 28, 2007
Revised:
September 5, 2008
Published:
May 20, 2009
Citation
Banerjee, A. G., Balijepalli, A., Gupta, S. K., and LeBrun, T. W. (May 20, 2009). "Generating Simplified Trapping Probability Models From Simulation of Optical Tweezers System." ASME. J. Comput. Inf. Sci. Eng. June 2009; 9(2): 021003. https://doi.org/10.1115/1.3130784
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