Methods of calibration to optical trapping force upon non-spherical cells
The dynamical equation of a trapping cell is solved to find calibration methods for the trapping force, and two methods are compared by synthetic experiment data. Results indicate that: Boltzmann distribution method (BDM) is available for the force calibration of non-spherical or anisotropic cells in arbitrary trap potential; the mean square displacement method (MSDM) is available only for a symmetric harmonic optical trap. The spatial resolution requirement of the calibration system is about a nanometer. The results agree with the reported experiments.
张镇西：The Key Laboratory of Biomedical Information Engineering of Ministry of Education, and Institute of Biomedical Engineering, Xi'an Jiaotong University, Xi'an 710049
李政：The Key Laboratory of Biomedical Information Engineering of Ministry of Education, and Institute of Biomedical Engineering, Xi'an Jiaotong University, Xi'an 710049
王小力：School of Science, Xi'an Jiaotong University, Xi'an 710049
备注：This work was supported by the National Natural Science Foundation of China under Grant No. 60378018 and 60578026. Z. Zhang is the author to whom the correspondence should be addressed, his e-mail address is email@example.com. Y. Yu's e-mail address is firstname.lastname@example.org
【1】K. J. Van Vliet, G. Bao, and S. Suresh, Acta Materialia51, 5881 (2003).
【2】E. Fallman, S. Schedin, J. Jass, M. Andersson, B. E. Uhlin, and O. Axner, Biosensors and Bioelectronics 19, 1429 (2004).
【3】A. D. Mehta, M. Rief, J. A. Spudich, D. A. Smith, and R. M. Simmons, Science 283, 1689 (1999).
【4】H. Chen, Y. Li, L. Lou, Z. Gong, and J. Qiu, Chin. J. Lasers (in Chinese) 31, 1361 (2004).
【5】E.-L. Florin, A. Pralle, E. H. K. Stelzer, and J. K. H. Horber, Appl. Phys. A 66, S75 (1998).
【6】Y. Yu, Z. Zhang, Z. Li, and X. Wang, Journal of Xi''an Jiaotong University (in Chinese) 40, 978 (2006).
【7】K. Berh-Sorensen and H. Flyvbjerg, Rev. Sci. Instrum. 75, 594 (2004).
【8】L. I. McCann, M. Dykman, and B. Golding, Nature 402, 785 (1999).
【9】T. A. Nieminen, H. Rubinsztein-Dunlop, and N. R. Heckenberg, Journal of Quantitative Spectroscopy and Radiative Transfer 70, 627 (2001).
【10】X. Yao, Z. Li, B. Cheng, and D. Zhang, Acta Opt. Sin. (in Chinese) 20, 1305 (2000).
【11】Y.-R. Chang, L. Hsu, and S. Chi, Opt. Commun. 246, 97 (2005).
【12】Y. Yu, Z. Zhang, and Z. Li, Acta Photon. Sin. (in Chinese) 34, 1582 (2005).
【13】A. Buosciolo, G. Pesce, and A. Sasso, Opt. Commun. 230, 357 (2004).
喻有理, 张镇西, 李政, 王小力, "Methods of calibration to optical trapping force upon non-spherical cells," Chinese Optics Letters 4(12), 722-724 (2006)