Search

Article

x

留言板

尊敬的读者、作者、审稿人, 关于本刊的投稿、审稿、编辑和出版的任何问题, 您可以本页添加留言。我们将尽快给您答复。谢谢您的支持!

姓名
邮箱
手机号码
标题
留言内容
验证码

Calibration of optical tweezers using time of flight method

Zhou Dan-Dan Ren Yu-Xuan Liu Wei-Wei Gong Lei Li Yin-Mei

Calibration of optical tweezers using time of flight method

Zhou Dan-Dan, Ren Yu-Xuan, Liu Wei-Wei, Gong Lei, Li Yin-Mei
PDF
Get Citation
  • 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.
    • Funds: Project supported by the National Natural Science Foundation of China (Grant Nos. 21073174, 20974107, 31100555), the National Basic Research Program of China (Grant No. 2011CB910402), and the Key Laboratory of Microgravity, Institute of Mechanics, Chinese Academy of Sciences.
    [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]

    [25]

    Saunter C D 2010 Biophys. J. 98 1566

    [26]

    te Velthuis Aartjan J W, Kerssemakers Jacob W J, Lipfert J, Dekker N H 2010 Biophys. J. 99 1292

    [27]

    Liu W W, Ren Y X, Gao H F, Sun Q, Wang Z Q, Li Y M 2012 Acta Phys. Sin. 61 188701 (in Chinese) [刘伟伟, 任煜轩, 高红芳, 孙晴, 王自强, 李银妹2012物理学报 61 188701]

    [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 物理学报 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

  • [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]

    [25]

    Saunter C D 2010 Biophys. J. 98 1566

    [26]

    te Velthuis Aartjan J W, Kerssemakers Jacob W J, Lipfert J, Dekker N H 2010 Biophys. J. 99 1292

    [27]

    Liu W W, Ren Y X, Gao H F, Sun Q, Wang Z Q, Li Y M 2012 Acta Phys. Sin. 61 188701 (in Chinese) [刘伟伟, 任煜轩, 高红芳, 孙晴, 王自强, 李银妹2012物理学报 61 188701]

    [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 物理学报 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

  • [1] Jiang Yu-Qiang, Guo Hong-Lian, Liu Chun-Xiang, Li Zhao-Lin, Cheng Bing-Ying, Zhang Dao-Zhong, Jia Suo-Tang. Trapping stiffness measurement with brownian motion analysis method at low sampling frequency. Acta Physica Sinica, 2004, 53(6): 1721-1726. doi: 10.7498/aps.53.1721
    [2] Wang Yue, Liang Yan-Sheng, Yan Shao-Hui, Cao Zhi-Liang, Cai Ya-Nan, Zhang Yan, Yao Bao-Li, Lei Ming. Axial multi-particle trapping and real-time direct observation. Acta Physica Sinica, 2018, 67(13): 138701. doi: 10.7498/aps.67.20180460
    [3] Ren Hong-Liang, Ding Pan-Feng, Li Xiao-Yan. Influences of axial position manipulation and misalignments of optical elements on radial trap position manipulation. Acta Physica Sinica, 2012, 61(21): 210701. doi: 10.7498/aps.61.210701
    [4] Wu Xiao-Ping, Hu Geng-Jun, Li Jing, Long Qian, Tao Tao, Zhang Gong-Xuan. FDTD numerical simulation of the trapping force of microspherein single optical tweezers. Acta Physica Sinica, 2011, 60(3): 030301. doi: 10.7498/aps.60.030301
    [5] Huang Xue-Feng, Li Sheng-Ji, Zhou Dong-Hui, Zhao Guan-Jun, Wang Guan-Qing, Xu Jiang-Rong. Trap, ignition, and diffusion combustion characteristics of active carbon micro-particles at a meso-scale studied by optical tweezers. Acta Physica Sinica, 2014, 63(17): 178802. doi: 10.7498/aps.63.178802
    [6] Yang Hao, Feng Guo-Ying, Zhang Da-Yong, Zhou Shou-Huan, Zhu Qi-Hua. Study on trapping force of focused optical field on the microsphere with the FDTD method. Acta Physica Sinica, 2008, 57(9): 5506-5512. doi: 10.7498/aps.57.5506
    [7] Zhan Qi-Wen, Zhang Yan-Li, Zhao Yi-Qiong, Li Yong-Ping. Study of 3D optical chain with highly focused vector beam. Acta Physica Sinica, 2006, 55(3): 1253-1258. doi: 10.7498/aps.55.1253
    [8] Ren Hong-Liang. Design and error analysis for optical tweezers based on finite conjugate microscope. Acta Physica Sinica, 2013, 62(10): 100701. doi: 10.7498/aps.62.100701
    [9] Liu Chun-Xiang, Guo Hong-Lian, Li Zhao-Lin, Jiang Yu-Qiang, Zhang Dao-Zhong, Xu Chun-Hua, Yuan Ming. Photosensitive breaking of fluorescent labeled microtubules and its mechanism. Acta Physica Sinica, 2006, 55(1): 206-210. doi: 10.7498/aps.55.206
    [10] Han Yi-Ping, Du Yun-Gang, Zhang Hua-Yong. Radiation trapping forces acting on a two-layered spherical particle in a Gaussian beam. Acta Physica Sinica, 2006, 55(9): 4557-4562. doi: 10.7498/aps.55.4557
  • Citation:
Metrics
  • Abstract views:  4704
  • PDF Downloads:  941
  • Cited By: 0
Publishing process
  • Received Date:  19 April 2012
  • Accepted Date:  12 June 2012
  • Published Online:  20 November 2012

Calibration of optical tweezers using time of flight method

  • 1. Department of Optics and Optical Engineering, University of Science and Technology of China, Hefei 230026, China
Fund Project:  Project supported by the National Natural Science Foundation of China (Grant Nos. 21073174, 20974107, 31100555), the National Basic Research Program of China (Grant No. 2011CB910402), and the Key Laboratory of Microgravity, Institute of Mechanics, Chinese Academy of Sciences.

Abstract: 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.

Reference (36)

Catalog

    /

    返回文章
    返回