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传统的测量光阱刚度的方法如功率谱法是基于微粒的布朗运动, 适用于直径范围几百纳米到几微米的微球, 在几微米以上并不具有明显优势.本文发展一种时间飞行的方法测量光阱对微球的刚度. 该方法是基于跟踪微粒的运动轨迹获得光阱刚度.通过比较不同功率下, 不同大小以及不同材料的微球的光阱刚度和误差, 结果表明时间飞行法适用于直径范围5-10 μm的微球; 论文中用功率谱法和均方位移法测量了5 μm标准聚苯乙烯小球的光阱刚度与时间飞行法测得的结果作为对比, 由于受相机采集速率的影响, 所测刚度值比理想值偏高, 比较而言, 时间飞行法的测量结果更加接近于真实值, 对于光阱刚度的快速标定有着重要意义. 该方法可以应用在特殊光场分布的激光阱中测量微球的光阱刚度; 在实现细胞层次的力学特性测量中它可避免使用微球作为探针, 为更深层次研究细胞上的复杂单分子过程提供了一个研究手段.Conventional method of calibrating optical trap stiffness is applicable for microspheres whose diameters range from hundreds of nanometer to several micrometers, but only have a slight advantage for those microspheres with diameters lager than five micrometers. To compensate this, we experimentally develop a time of flight method for measuring optical trap stiffness with larger microspheres. By comparing the optical trap stiffness of microspheres with different sizes and different materials at different laser powers, the time of flight method is confirmed to be more accurate and practical for microspheres larger than 5 μm; the result is of the same order of magnitude as the results of Brownian noise based analysis of 5 μm polystyrene bead. The results are higher than theoretical values due to the limited bandwidth of the camera. In comparison, the time of flight method is superior to other methods and does make sense in the fast calibration of optical trap stiffness on cell level. This method can be applied to optical traps with special field distributions. In the measurement of mechanical properties of cells, it can avoid using microspheres as force probe, thus providing a novel approach to the study of sophisticated single molecule process on the membrane of cells.
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Keywords:
- optical tweezers /
- optical trap stiffness /
- time of flight method /
- cell
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[1] Zhou R B, Kunzelmann S, Webb M R, Ha T 2011 Nano Letters 11 5482
[2] Morrison E A, DeKoster G T, Dutta S, Vafabakhsh R, Clarkson M W, Bahl A, Kern D, Ha T, Henzler-Wildman K A 2012 Nature 481 45
[3] Qu X H, Wen J D, Lancaster L, Noller H F, Bustamante C, Tinoco I 2011 Nature 475 118
[4] Ashkin A, Dziedzic J M, Bjorkholm J E, Chu S 1986 Opt. Lett. 11 288
[5] Ashikin A 1970Phys. Rev. Lett. 24 156
[6] Wu J G, Li Y M, Lu D, Liu Z, Cheng Z D, He L Q 2009Cryo Lett. 30 89
[7] Chen H D, Ge K K, Li Y M, Wu J G, Gu Y Q, Wei H M, Tian Z G 2007 Cellular & Molecular Immunology 4 221
[8] Allersma M W, Gittes F, deCastro M J, Stewart R J, Schmidt C F 1998 Biophys. J. 74 1074
[9] Ren Y X, Wu J G, Chen M, Li H, Li Y M 2010 Chin. Phys. Lett. 27 028703
[10] Sirinakis G, Ren Y X, Gao Y, Xi Z Q, Zhang Y L 2012 Rev. Sci. Instrum. 83 093708
[11] Grier D G 2003 Nature 424 810
[12] Neuman K C, Block S M 2004 Rev. of Sci. Instru. 75 2787
[13] van der Horst A, Forde N R 2010 Opt. Express 18 7670
[14] Ren Y X, Wu J G, Zhong M C, Li Y M 2010 Chin. Opt. Lett. 8 170
[15] Ren Y X, Wu J G, Li Y M Application of Monte Carlo Simulation in Optical Tweezers. In: Mordechai S, ed. Applications of Monte Carlo Method in Science and Engineering. Rijeka: Intech; 2011:21-34.
[16] Wong W P, Halvorsen K 2006 Opt. Express 14 12517
[17] Waggoner S N, Cornberg M, Selin L K 2011 Nature 481 394
[18] Geissmann F, Manz M G, Jung S, Sieweke M H, Merad M, Ley K 2010 Science 327 656
[19] Callan-Jones A, Sorre B, Bassereau P 2011 Cold Spring Harbor Perspectives in Biology 3
[20] Roux A, Koster G, Lenz M, Sorre B, Manneville J B, Nassoy P 2010 Proc. Natl. Acad. Sci. 107 4141
[21] Sorre B, Callan-Jones A, Manneville J B, Nassoy P, Joanny J F, Prost J, Goud B, Bassereau P 2009 Proc. Natl. Acad. Sci. 106 5622
[22] Ashkin A 1992 Biophys. J. 61 569
[23] Sun Q, RenY X, Yao K, Li Y M, Lu R D 2011 Chin. J.Laser 38 109003 (in Chinese) [孙晴, 任煜轩, 姚焜, 李银妹, 卢荣德 2011 中国激光 38 109003]
[24] Gao H F, Ren Y X, Liu W W, Li Y M 2011 Chin. J.Laser 38 404002 (in Chinese) [高红芳, 任煜轩, 刘伟伟, 李银妹 2011 中国激光 38 404002]
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[26] te Velthuis Aartjan J W, Kerssemakers Jacob W J, Lipfert J, Dekker N H 2010 Biophys. J. 99 1292
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[28] Rohrbach A 2005 Phys. Rev. Lett. 95 68102
[29] Ren Y X 2012 Ph. D. Dissertation (hefei:University of Science and Technology of China) (in Chinese) [任煜轩2012 博士学位论文 (合肥:中国科学技术大学)]
[30] Zhan Q W 2009 Advances in Optics and Photonics 1 1
[31] Zhang P, Prakash J, Zhang Z, Mills M S, Efremidis N K, Christodoulides D N, Chen Z G. 2011 Opt. Lett. 36 2883
[32] Zhang P, Zhang Z, Prakash J, Huang S, Hernandez D, Salazar M, Christodoulides D N, Chen Z G 2011 Opt. Lett. 36 1491
[33] Ren Y X, Li M, Huang K, Wu J G, Gao H F, Wang Z Q, Li Y M 2010 Appl. Opt. 49 1838
[34] Ren Y X, Wu J G, Zhou X W, Fu S J, Sun Q, Wang Z Q, Li Y M 2010 Acta Phys.Sin. 59 3930 (in Chinese) [任煜轩, 吴建光, 周小为, 付绍军, 孙晴, 王自强, 李银妹 2010 59 3930]
[35] Huang J, Zarnitsyna V I, Liu B Y, Edwards L J, Jiang N, Evavold B D, Zhu C 2010 Nature 464 932
[36] Huppa J B, Axmann M, Mortelmaier M A, Lillemeier B F, Newell E W, Brameshuber M, Klein L O, Schutz G J, Davis M M 2010 Nature 463 963
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