Abstract

In optical tweezers, a piezo-stage (PZT) is widely used to precisely position samples for force clamp, calibrating optical trap and stretching DNA. For a trapped bead in solution, the oscillation response of PZT is vital for all kinds of applications. A coupling ratio, actual amplitude to nominal amplitude, can be calibrated by power spectral density during sinusoidal oscillations. With oscillation frequency increasing, coupling ratio decreases in both x- and y-directions, which is also confirmed by the calibration with light scattering of scanning two aligned beads on slide. Those oscillation responses are related with deformability of chamber and the intrinsic characteristics of PZT. If we take nominal amplitude as actual amplitude for sinusoidal oscillations at 50 Hz, the amplitude is overestimated ~2 times in x-direction and ~3 times in y-direction. That will lead to huge errors for subsequent calibrations.

© 2015 Optical Society of America

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References

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2014 (1)

P. Xia, J. Zhou, X. Song, B. Wu, X. Liu, D. Li, S. Zhang, Z. Wang, H. Yu, T. Ward, J. Zhang, Y. Li, X. Wang, Y. Chen, Z. Guo, and X. Yao, “Aurora A orchestrates entosis by regulating a dynamic MCAK-TIP150 interaction,” J. Mol. Cell Biol. 6(3), 240–254 (2014).
[Crossref] [PubMed]

2012 (1)

2011 (3)

C. Y. Lin and P. Y. Chen, “Precision tracking control of a biaxial piezo stage using repetitive control and double-feedforward compensation,” Mechatronics 21(1), 239–249 (2011).
[Crossref]

R. J. E. Merry, M. G. J. M. Maassen, M. J. G. van de Molengraft, N. van de Wouw, and M. Steinbuch, “Modeling and waveform optimization of a nano-motion piezo stage,” IEEE Asme T. Mech. 16(4), 615–626 (2011).

M. Andersson, F. Czerwinski, and L. B. Oddershede, “Optimizing active and passive calibration of optical tweezers,” J. Opt. 13(4), 044020 (2011).
[Crossref]

2010 (1)

A. D. Franck, A. F. Powers, D. R. Gestaut, T. N. Davis, and C. L. Asbury, “Direct physical study of kinetochore-microtubule interactions by reconstitution and interrogation with an optical force clamp,” Methods 51(2), 242–250 (2010).
[Crossref] [PubMed]

2008 (3)

2007 (2)

Z. Gong, Z. Wang, Y. M. Li, L. R. Lou, and S. H. Xu, “Axial deviation of an optically trapped particle in trapping force calibration using the drag force method,” Opt. Commun. 273(1), 37–42 (2007).
[Crossref]

G. Volpe, G. Kozyreff, and D. Petrov, “Backscattering position detection for photonic force microscopy,” J. Appl. Phys. 102(8), 084701 (2007).
[Crossref]

2006 (2)

S. F. Tolić-Nørrelykke, E. Schäffer, J. Howard, F. S. Pavone, F. Jülicher, and H. Flyvbjerg, “Calibration of optical tweezers with positional detection in the back focal plane,” Rev. Sci. Instrum. 77(10), 103101 (2006).
[Crossref]

C. J. Lin and S. R. Yang, “Precise positioning of piezo-actuated stages using hysteresis-observer based control,” Mechatronics 16(7), 417–426 (2006).
[Crossref]

2004 (3)

K. C. Neuman and S. M. Block, “Optical trapping,” Rev. Sci. Instrum. 75(9), 2787–2809 (2004).
[Crossref] [PubMed]

K. Berg-Sørensen and H. Flyvbjerg, “Power spectrum analysis for optical tweezers,” Rev. Sci. Instrum. 75(3), 594–612 (2004).
[Crossref]

A. Buosciolo, G. Pesce, and A. Sasso, “New calibration method for position detector for simultaneous measurements of force constants and local viscosity in optical tweezers,” Opt. Commun. 230(4–6), 357–368 (2004).
[Crossref]

2003 (1)

E. J. G. Peterman, F. Gittes, and C. F. Schmidt, “Laser-induced heating in optical traps,” Biophys. J. 84(2), 1308–1316 (2003).
[Crossref] [PubMed]

2002 (1)

M. J. Lang, C. L. Asbury, J. W. Shaevitz, and S. M. Block, “An automated two-dimensional optical force clamp for single molecule studies,” Biophys. J. 83(1), 491–501 (2002).
[Crossref] [PubMed]

1998 (1)

M. W. Allersma, F. Gittes, M. J. deCastro, R. J. Stewart, and C. F. Schmidt, “Two-dimensional tracking of ncd motility by back focal plane interferometry,” Biophys. J. 74(2), 1074–1085 (1998).
[Crossref] [PubMed]

1997 (1)

M. D. Wang, H. Yin, R. Landick, J. Gelles, and S. M. Block, “Stretching DNA with optical tweezers,” Biophys. J. 72(3), 1335–1346 (1997).
[Crossref] [PubMed]

1993 (1)

K. Svoboda, C. F. Schmidt, B. J. Schnapp, and S. M. Block, “Direct observation of kinesin stepping by optical trapping interferometry,” Nature 365(6448), 721–727 (1993).
[Crossref] [PubMed]

1992 (1)

A. Ashkin, “Forces of a single-beam gradient laser trap on a dielectric sphere in the ray optics regime,” Biophys. J. 61(2), 569–582 (1992).
[Crossref] [PubMed]

1988 (1)

J. Gelles, B. J. Schnapp, and M. P. Sheetz, “Tracking kinesin-driven movements with nanometre-scale precision,” Nature 331(6155), 450–453 (1988).
[Crossref] [PubMed]

Allersma, M. W.

M. W. Allersma, F. Gittes, M. J. deCastro, R. J. Stewart, and C. F. Schmidt, “Two-dimensional tracking of ncd motility by back focal plane interferometry,” Biophys. J. 74(2), 1074–1085 (1998).
[Crossref] [PubMed]

Andersson, M.

M. Andersson, F. Czerwinski, and L. B. Oddershede, “Optimizing active and passive calibration of optical tweezers,” J. Opt. 13(4), 044020 (2011).
[Crossref]

Asbury, C. L.

A. D. Franck, A. F. Powers, D. R. Gestaut, T. N. Davis, and C. L. Asbury, “Direct physical study of kinetochore-microtubule interactions by reconstitution and interrogation with an optical force clamp,” Methods 51(2), 242–250 (2010).
[Crossref] [PubMed]

M. J. Lang, C. L. Asbury, J. W. Shaevitz, and S. M. Block, “An automated two-dimensional optical force clamp for single molecule studies,” Biophys. J. 83(1), 491–501 (2002).
[Crossref] [PubMed]

Ashkin, A.

A. Ashkin, “Forces of a single-beam gradient laser trap on a dielectric sphere in the ray optics regime,” Biophys. J. 61(2), 569–582 (1992).
[Crossref] [PubMed]

Berg-Sørensen, K.

K. Berg-Sørensen and H. Flyvbjerg, “Power spectrum analysis for optical tweezers,” Rev. Sci. Instrum. 75(3), 594–612 (2004).
[Crossref]

Block, S. M.

K. C. Neuman and S. M. Block, “Optical trapping,” Rev. Sci. Instrum. 75(9), 2787–2809 (2004).
[Crossref] [PubMed]

M. J. Lang, C. L. Asbury, J. W. Shaevitz, and S. M. Block, “An automated two-dimensional optical force clamp for single molecule studies,” Biophys. J. 83(1), 491–501 (2002).
[Crossref] [PubMed]

M. D. Wang, H. Yin, R. Landick, J. Gelles, and S. M. Block, “Stretching DNA with optical tweezers,” Biophys. J. 72(3), 1335–1346 (1997).
[Crossref] [PubMed]

K. Svoboda, C. F. Schmidt, B. J. Schnapp, and S. M. Block, “Direct observation of kinesin stepping by optical trapping interferometry,” Nature 365(6448), 721–727 (1993).
[Crossref] [PubMed]

Buosciolo, A.

A. Buosciolo, G. Pesce, and A. Sasso, “New calibration method for position detector for simultaneous measurements of force constants and local viscosity in optical tweezers,” Opt. Commun. 230(4–6), 357–368 (2004).
[Crossref]

Cai, J.

Chen, P. Y.

C. Y. Lin and P. Y. Chen, “Precision tracking control of a biaxial piezo stage using repetitive control and double-feedforward compensation,” Mechatronics 21(1), 239–249 (2011).
[Crossref]

Chen, Y.

P. Xia, J. Zhou, X. Song, B. Wu, X. Liu, D. Li, S. Zhang, Z. Wang, H. Yu, T. Ward, J. Zhang, Y. Li, X. Wang, Y. Chen, Z. Guo, and X. Yao, “Aurora A orchestrates entosis by regulating a dynamic MCAK-TIP150 interaction,” J. Mol. Cell Biol. 6(3), 240–254 (2014).
[Crossref] [PubMed]

Chiou, A.

Czerwinski, F.

M. Andersson, F. Czerwinski, and L. B. Oddershede, “Optimizing active and passive calibration of optical tweezers,” J. Opt. 13(4), 044020 (2011).
[Crossref]

Davis, T. N.

A. D. Franck, A. F. Powers, D. R. Gestaut, T. N. Davis, and C. L. Asbury, “Direct physical study of kinetochore-microtubule interactions by reconstitution and interrogation with an optical force clamp,” Methods 51(2), 242–250 (2010).
[Crossref] [PubMed]

deCastro, M. J.

M. W. Allersma, F. Gittes, M. J. deCastro, R. J. Stewart, and C. F. Schmidt, “Two-dimensional tracking of ncd motility by back focal plane interferometry,” Biophys. J. 74(2), 1074–1085 (1998).
[Crossref] [PubMed]

Ecoffet, C.

C. Guzmán, H. Flyvbjerg, R. Köszali, C. Ecoffet, L. Forró, and S. Jeney, “In situ viscometry by optical trapping interferometry,” Appl. Phys. Lett. 93(18), 184102 (2008).
[Crossref]

Flyvbjerg, H.

C. Guzmán, H. Flyvbjerg, R. Köszali, C. Ecoffet, L. Forró, and S. Jeney, “In situ viscometry by optical trapping interferometry,” Appl. Phys. Lett. 93(18), 184102 (2008).
[Crossref]

S. F. Tolić-Nørrelykke, E. Schäffer, J. Howard, F. S. Pavone, F. Jülicher, and H. Flyvbjerg, “Calibration of optical tweezers with positional detection in the back focal plane,” Rev. Sci. Instrum. 77(10), 103101 (2006).
[Crossref]

K. Berg-Sørensen and H. Flyvbjerg, “Power spectrum analysis for optical tweezers,” Rev. Sci. Instrum. 75(3), 594–612 (2004).
[Crossref]

Forró, L.

C. Guzmán, H. Flyvbjerg, R. Köszali, C. Ecoffet, L. Forró, and S. Jeney, “In situ viscometry by optical trapping interferometry,” Appl. Phys. Lett. 93(18), 184102 (2008).
[Crossref]

Franck, A. D.

A. D. Franck, A. F. Powers, D. R. Gestaut, T. N. Davis, and C. L. Asbury, “Direct physical study of kinetochore-microtubule interactions by reconstitution and interrogation with an optical force clamp,” Methods 51(2), 242–250 (2010).
[Crossref] [PubMed]

Gelles, J.

M. D. Wang, H. Yin, R. Landick, J. Gelles, and S. M. Block, “Stretching DNA with optical tweezers,” Biophys. J. 72(3), 1335–1346 (1997).
[Crossref] [PubMed]

J. Gelles, B. J. Schnapp, and M. P. Sheetz, “Tracking kinesin-driven movements with nanometre-scale precision,” Nature 331(6155), 450–453 (1988).
[Crossref] [PubMed]

Gestaut, D. R.

A. D. Franck, A. F. Powers, D. R. Gestaut, T. N. Davis, and C. L. Asbury, “Direct physical study of kinetochore-microtubule interactions by reconstitution and interrogation with an optical force clamp,” Methods 51(2), 242–250 (2010).
[Crossref] [PubMed]

Ghadiali, S. N.

Gittes, F.

E. J. G. Peterman, F. Gittes, and C. F. Schmidt, “Laser-induced heating in optical traps,” Biophys. J. 84(2), 1308–1316 (2003).
[Crossref] [PubMed]

M. W. Allersma, F. Gittes, M. J. deCastro, R. J. Stewart, and C. F. Schmidt, “Two-dimensional tracking of ncd motility by back focal plane interferometry,” Biophys. J. 74(2), 1074–1085 (1998).
[Crossref] [PubMed]

Gong, Z.

Z. Gong, Z. Wang, Y. M. Li, L. R. Lou, and S. H. Xu, “Axial deviation of an optically trapped particle in trapping force calibration using the drag force method,” Opt. Commun. 273(1), 37–42 (2007).
[Crossref]

Guo, Z.

P. Xia, J. Zhou, X. Song, B. Wu, X. Liu, D. Li, S. Zhang, Z. Wang, H. Yu, T. Ward, J. Zhang, Y. Li, X. Wang, Y. Chen, Z. Guo, and X. Yao, “Aurora A orchestrates entosis by regulating a dynamic MCAK-TIP150 interaction,” J. Mol. Cell Biol. 6(3), 240–254 (2014).
[Crossref] [PubMed]

Guzmán, C.

C. Guzmán, H. Flyvbjerg, R. Köszali, C. Ecoffet, L. Forró, and S. Jeney, “In situ viscometry by optical trapping interferometry,” Appl. Phys. Lett. 93(18), 184102 (2008).
[Crossref]

Hallow, M.

Howard, J.

S. F. Tolić-Nørrelykke, E. Schäffer, J. Howard, F. S. Pavone, F. Jülicher, and H. Flyvbjerg, “Calibration of optical tweezers with positional detection in the back focal plane,” Rev. Sci. Instrum. 77(10), 103101 (2006).
[Crossref]

Jeney, S.

C. Guzmán, H. Flyvbjerg, R. Köszali, C. Ecoffet, L. Forró, and S. Jeney, “In situ viscometry by optical trapping interferometry,” Appl. Phys. Lett. 93(18), 184102 (2008).
[Crossref]

Jülicher, F.

S. F. Tolić-Nørrelykke, E. Schäffer, J. Howard, F. S. Pavone, F. Jülicher, and H. Flyvbjerg, “Calibration of optical tweezers with positional detection in the back focal plane,” Rev. Sci. Instrum. 77(10), 103101 (2006).
[Crossref]

Köszali, R.

C. Guzmán, H. Flyvbjerg, R. Köszali, C. Ecoffet, L. Forró, and S. Jeney, “In situ viscometry by optical trapping interferometry,” Appl. Phys. Lett. 93(18), 184102 (2008).
[Crossref]

Kozyreff, G.

G. Volpe, G. Kozyreff, and D. Petrov, “Backscattering position detection for photonic force microscopy,” J. Appl. Phys. 102(8), 084701 (2007).
[Crossref]

Landick, R.

M. D. Wang, H. Yin, R. Landick, J. Gelles, and S. M. Block, “Stretching DNA with optical tweezers,” Biophys. J. 72(3), 1335–1346 (1997).
[Crossref] [PubMed]

Lang, M. J.

M. J. Lang, C. L. Asbury, J. W. Shaevitz, and S. M. Block, “An automated two-dimensional optical force clamp for single molecule studies,” Biophys. J. 83(1), 491–501 (2002).
[Crossref] [PubMed]

Li, D.

P. Xia, J. Zhou, X. Song, B. Wu, X. Liu, D. Li, S. Zhang, Z. Wang, H. Yu, T. Ward, J. Zhang, Y. Li, X. Wang, Y. Chen, Z. Guo, and X. Yao, “Aurora A orchestrates entosis by regulating a dynamic MCAK-TIP150 interaction,” J. Mol. Cell Biol. 6(3), 240–254 (2014).
[Crossref] [PubMed]

Li, Y.

P. Xia, J. Zhou, X. Song, B. Wu, X. Liu, D. Li, S. Zhang, Z. Wang, H. Yu, T. Ward, J. Zhang, Y. Li, X. Wang, Y. Chen, Z. Guo, and X. Yao, “Aurora A orchestrates entosis by regulating a dynamic MCAK-TIP150 interaction,” J. Mol. Cell Biol. 6(3), 240–254 (2014).
[Crossref] [PubMed]

Li, Y. M.

Lin, C. J.

C. J. Lin and S. R. Yang, “Precise positioning of piezo-actuated stages using hysteresis-observer based control,” Mechatronics 16(7), 417–426 (2006).
[Crossref]

Lin, C. Y.

C. Y. Lin and P. Y. Chen, “Precision tracking control of a biaxial piezo stage using repetitive control and double-feedforward compensation,” Mechatronics 21(1), 239–249 (2011).
[Crossref]

Liu, X.

P. Xia, J. Zhou, X. Song, B. Wu, X. Liu, D. Li, S. Zhang, Z. Wang, H. Yu, T. Ward, J. Zhang, Y. Li, X. Wang, Y. Chen, Z. Guo, and X. Yao, “Aurora A orchestrates entosis by regulating a dynamic MCAK-TIP150 interaction,” J. Mol. Cell Biol. 6(3), 240–254 (2014).
[Crossref] [PubMed]

Lou, L. R.

Z. Gong, Z. Wang, Y. M. Li, L. R. Lou, and S. H. Xu, “Axial deviation of an optically trapped particle in trapping force calibration using the drag force method,” Opt. Commun. 273(1), 37–42 (2007).
[Crossref]

Maassen, M. G. J. M.

R. J. E. Merry, M. G. J. M. Maassen, M. J. G. van de Molengraft, N. van de Wouw, and M. Steinbuch, “Modeling and waveform optimization of a nano-motion piezo stage,” IEEE Asme T. Mech. 16(4), 615–626 (2011).

Merry, R. J. E.

R. J. E. Merry, M. G. J. M. Maassen, M. J. G. van de Molengraft, N. van de Wouw, and M. Steinbuch, “Modeling and waveform optimization of a nano-motion piezo stage,” IEEE Asme T. Mech. 16(4), 615–626 (2011).

Neuman, K. C.

K. C. Neuman and S. M. Block, “Optical trapping,” Rev. Sci. Instrum. 75(9), 2787–2809 (2004).
[Crossref] [PubMed]

Oddershede, L. B.

M. Andersson, F. Czerwinski, and L. B. Oddershede, “Optimizing active and passive calibration of optical tweezers,” J. Opt. 13(4), 044020 (2011).
[Crossref]

Ou-Yang, H. D.

Pavone, F. S.

S. F. Tolić-Nørrelykke, E. Schäffer, J. Howard, F. S. Pavone, F. Jülicher, and H. Flyvbjerg, “Calibration of optical tweezers with positional detection in the back focal plane,” Rev. Sci. Instrum. 77(10), 103101 (2006).
[Crossref]

Pesce, G.

A. Buosciolo, G. Pesce, and A. Sasso, “New calibration method for position detector for simultaneous measurements of force constants and local viscosity in optical tweezers,” Opt. Commun. 230(4–6), 357–368 (2004).
[Crossref]

Peterman, E. J. G.

E. J. G. Peterman, F. Gittes, and C. F. Schmidt, “Laser-induced heating in optical traps,” Biophys. J. 84(2), 1308–1316 (2003).
[Crossref] [PubMed]

Petrov, D.

G. Volpe, G. Kozyreff, and D. Petrov, “Backscattering position detection for photonic force microscopy,” J. Appl. Phys. 102(8), 084701 (2007).
[Crossref]

Powers, A. F.

A. D. Franck, A. F. Powers, D. R. Gestaut, T. N. Davis, and C. L. Asbury, “Direct physical study of kinetochore-microtubule interactions by reconstitution and interrogation with an optical force clamp,” Methods 51(2), 242–250 (2010).
[Crossref] [PubMed]

Ren, H. L.

Sasso, A.

A. Buosciolo, G. Pesce, and A. Sasso, “New calibration method for position detector for simultaneous measurements of force constants and local viscosity in optical tweezers,” Opt. Commun. 230(4–6), 357–368 (2004).
[Crossref]

Schäffer, E.

S. F. Tolić-Nørrelykke, E. Schäffer, J. Howard, F. S. Pavone, F. Jülicher, and H. Flyvbjerg, “Calibration of optical tweezers with positional detection in the back focal plane,” Rev. Sci. Instrum. 77(10), 103101 (2006).
[Crossref]

Schmidt, C. F.

E. J. G. Peterman, F. Gittes, and C. F. Schmidt, “Laser-induced heating in optical traps,” Biophys. J. 84(2), 1308–1316 (2003).
[Crossref] [PubMed]

M. W. Allersma, F. Gittes, M. J. deCastro, R. J. Stewart, and C. F. Schmidt, “Two-dimensional tracking of ncd motility by back focal plane interferometry,” Biophys. J. 74(2), 1074–1085 (1998).
[Crossref] [PubMed]

K. Svoboda, C. F. Schmidt, B. J. Schnapp, and S. M. Block, “Direct observation of kinesin stepping by optical trapping interferometry,” Nature 365(6448), 721–727 (1993).
[Crossref] [PubMed]

Schnapp, B. J.

K. Svoboda, C. F. Schmidt, B. J. Schnapp, and S. M. Block, “Direct observation of kinesin stepping by optical trapping interferometry,” Nature 365(6448), 721–727 (1993).
[Crossref] [PubMed]

J. Gelles, B. J. Schnapp, and M. P. Sheetz, “Tracking kinesin-driven movements with nanometre-scale precision,” Nature 331(6155), 450–453 (1988).
[Crossref] [PubMed]

Shaevitz, J. W.

M. J. Lang, C. L. Asbury, J. W. Shaevitz, and S. M. Block, “An automated two-dimensional optical force clamp for single molecule studies,” Biophys. J. 83(1), 491–501 (2002).
[Crossref] [PubMed]

Sheetz, M. P.

J. Gelles, B. J. Schnapp, and M. P. Sheetz, “Tracking kinesin-driven movements with nanometre-scale precision,” Nature 331(6155), 450–453 (1988).
[Crossref] [PubMed]

Song, X.

P. Xia, J. Zhou, X. Song, B. Wu, X. Liu, D. Li, S. Zhang, Z. Wang, H. Yu, T. Ward, J. Zhang, Y. Li, X. Wang, Y. Chen, Z. Guo, and X. Yao, “Aurora A orchestrates entosis by regulating a dynamic MCAK-TIP150 interaction,” J. Mol. Cell Biol. 6(3), 240–254 (2014).
[Crossref] [PubMed]

Steinbuch, M.

R. J. E. Merry, M. G. J. M. Maassen, M. J. G. van de Molengraft, N. van de Wouw, and M. Steinbuch, “Modeling and waveform optimization of a nano-motion piezo stage,” IEEE Asme T. Mech. 16(4), 615–626 (2011).

Stewart, R. J.

M. W. Allersma, F. Gittes, M. J. deCastro, R. J. Stewart, and C. F. Schmidt, “Two-dimensional tracking of ncd motility by back focal plane interferometry,” Biophys. J. 74(2), 1074–1085 (1998).
[Crossref] [PubMed]

Svoboda, K.

K. Svoboda, C. F. Schmidt, B. J. Schnapp, and S. M. Block, “Direct observation of kinesin stepping by optical trapping interferometry,” Nature 365(6448), 721–727 (1993).
[Crossref] [PubMed]

Tolic-Nørrelykke, S. F.

S. F. Tolić-Nørrelykke, E. Schäffer, J. Howard, F. S. Pavone, F. Jülicher, and H. Flyvbjerg, “Calibration of optical tweezers with positional detection in the back focal plane,” Rev. Sci. Instrum. 77(10), 103101 (2006).
[Crossref]

van de Molengraft, M. J. G.

R. J. E. Merry, M. G. J. M. Maassen, M. J. G. van de Molengraft, N. van de Wouw, and M. Steinbuch, “Modeling and waveform optimization of a nano-motion piezo stage,” IEEE Asme T. Mech. 16(4), 615–626 (2011).

van de Wouw, N.

R. J. E. Merry, M. G. J. M. Maassen, M. J. G. van de Molengraft, N. van de Wouw, and M. Steinbuch, “Modeling and waveform optimization of a nano-motion piezo stage,” IEEE Asme T. Mech. 16(4), 615–626 (2011).

Volpe, G.

G. Volpe, G. Kozyreff, and D. Petrov, “Backscattering position detection for photonic force microscopy,” J. Appl. Phys. 102(8), 084701 (2007).
[Crossref]

Wang, J.

Wang, M. D.

M. D. Wang, H. Yin, R. Landick, J. Gelles, and S. M. Block, “Stretching DNA with optical tweezers,” Biophys. J. 72(3), 1335–1346 (1997).
[Crossref] [PubMed]

Wang, X.

P. Xia, J. Zhou, X. Song, B. Wu, X. Liu, D. Li, S. Zhang, Z. Wang, H. Yu, T. Ward, J. Zhang, Y. Li, X. Wang, Y. Chen, Z. Guo, and X. Yao, “Aurora A orchestrates entosis by regulating a dynamic MCAK-TIP150 interaction,” J. Mol. Cell Biol. 6(3), 240–254 (2014).
[Crossref] [PubMed]

Wang, Z.

P. Xia, J. Zhou, X. Song, B. Wu, X. Liu, D. Li, S. Zhang, Z. Wang, H. Yu, T. Ward, J. Zhang, Y. Li, X. Wang, Y. Chen, Z. Guo, and X. Yao, “Aurora A orchestrates entosis by regulating a dynamic MCAK-TIP150 interaction,” J. Mol. Cell Biol. 6(3), 240–254 (2014).
[Crossref] [PubMed]

Z. Gong, Z. Wang, Y. M. Li, L. R. Lou, and S. H. Xu, “Axial deviation of an optically trapped particle in trapping force calibration using the drag force method,” Opt. Commun. 273(1), 37–42 (2007).
[Crossref]

Wang, Z. Q.

Ward, T.

P. Xia, J. Zhou, X. Song, B. Wu, X. Liu, D. Li, S. Zhang, Z. Wang, H. Yu, T. Ward, J. Zhang, Y. Li, X. Wang, Y. Chen, Z. Guo, and X. Yao, “Aurora A orchestrates entosis by regulating a dynamic MCAK-TIP150 interaction,” J. Mol. Cell Biol. 6(3), 240–254 (2014).
[Crossref] [PubMed]

Wei, M.-T.

Wu, B.

P. Xia, J. Zhou, X. Song, B. Wu, X. Liu, D. Li, S. Zhang, Z. Wang, H. Yu, T. Ward, J. Zhang, Y. Li, X. Wang, Y. Chen, Z. Guo, and X. Yao, “Aurora A orchestrates entosis by regulating a dynamic MCAK-TIP150 interaction,” J. Mol. Cell Biol. 6(3), 240–254 (2014).
[Crossref] [PubMed]

Xia, P.

P. Xia, J. Zhou, X. Song, B. Wu, X. Liu, D. Li, S. Zhang, Z. Wang, H. Yu, T. Ward, J. Zhang, Y. Li, X. Wang, Y. Chen, Z. Guo, and X. Yao, “Aurora A orchestrates entosis by regulating a dynamic MCAK-TIP150 interaction,” J. Mol. Cell Biol. 6(3), 240–254 (2014).
[Crossref] [PubMed]

Xu, S. H.

Z. Gong, Z. Wang, Y. M. Li, L. R. Lou, and S. H. Xu, “Axial deviation of an optically trapped particle in trapping force calibration using the drag force method,” Opt. Commun. 273(1), 37–42 (2007).
[Crossref]

Yalcin, H. C.

Yang, S. R.

C. J. Lin and S. R. Yang, “Precise positioning of piezo-actuated stages using hysteresis-observer based control,” Mechatronics 16(7), 417–426 (2006).
[Crossref]

Yao, X.

P. Xia, J. Zhou, X. Song, B. Wu, X. Liu, D. Li, S. Zhang, Z. Wang, H. Yu, T. Ward, J. Zhang, Y. Li, X. Wang, Y. Chen, Z. Guo, and X. Yao, “Aurora A orchestrates entosis by regulating a dynamic MCAK-TIP150 interaction,” J. Mol. Cell Biol. 6(3), 240–254 (2014).
[Crossref] [PubMed]

Yin, H.

M. D. Wang, H. Yin, R. Landick, J. Gelles, and S. M. Block, “Stretching DNA with optical tweezers,” Biophys. J. 72(3), 1335–1346 (1997).
[Crossref] [PubMed]

Yu, H.

P. Xia, J. Zhou, X. Song, B. Wu, X. Liu, D. Li, S. Zhang, Z. Wang, H. Yu, T. Ward, J. Zhang, Y. Li, X. Wang, Y. Chen, Z. Guo, and X. Yao, “Aurora A orchestrates entosis by regulating a dynamic MCAK-TIP150 interaction,” J. Mol. Cell Biol. 6(3), 240–254 (2014).
[Crossref] [PubMed]

Zaorski, A.

Zhang, J.

P. Xia, J. Zhou, X. Song, B. Wu, X. Liu, D. Li, S. Zhang, Z. Wang, H. Yu, T. Ward, J. Zhang, Y. Li, X. Wang, Y. Chen, Z. Guo, and X. Yao, “Aurora A orchestrates entosis by regulating a dynamic MCAK-TIP150 interaction,” J. Mol. Cell Biol. 6(3), 240–254 (2014).
[Crossref] [PubMed]

Zhang, S.

P. Xia, J. Zhou, X. Song, B. Wu, X. Liu, D. Li, S. Zhang, Z. Wang, H. Yu, T. Ward, J. Zhang, Y. Li, X. Wang, Y. Chen, Z. Guo, and X. Yao, “Aurora A orchestrates entosis by regulating a dynamic MCAK-TIP150 interaction,” J. Mol. Cell Biol. 6(3), 240–254 (2014).
[Crossref] [PubMed]

Zhong, M. C.

Zhou, J.

P. Xia, J. Zhou, X. Song, B. Wu, X. Liu, D. Li, S. Zhang, Z. Wang, H. Yu, T. Ward, J. Zhang, Y. Li, X. Wang, Y. Chen, Z. Guo, and X. Yao, “Aurora A orchestrates entosis by regulating a dynamic MCAK-TIP150 interaction,” J. Mol. Cell Biol. 6(3), 240–254 (2014).
[Crossref] [PubMed]

Zhou, J. H.

Appl. Opt. (1)

Appl. Phys. Lett. (1)

C. Guzmán, H. Flyvbjerg, R. Köszali, C. Ecoffet, L. Forró, and S. Jeney, “In situ viscometry by optical trapping interferometry,” Appl. Phys. Lett. 93(18), 184102 (2008).
[Crossref]

Biophys. J. (5)

E. J. G. Peterman, F. Gittes, and C. F. Schmidt, “Laser-induced heating in optical traps,” Biophys. J. 84(2), 1308–1316 (2003).
[Crossref] [PubMed]

M. W. Allersma, F. Gittes, M. J. deCastro, R. J. Stewart, and C. F. Schmidt, “Two-dimensional tracking of ncd motility by back focal plane interferometry,” Biophys. J. 74(2), 1074–1085 (1998).
[Crossref] [PubMed]

M. J. Lang, C. L. Asbury, J. W. Shaevitz, and S. M. Block, “An automated two-dimensional optical force clamp for single molecule studies,” Biophys. J. 83(1), 491–501 (2002).
[Crossref] [PubMed]

M. D. Wang, H. Yin, R. Landick, J. Gelles, and S. M. Block, “Stretching DNA with optical tweezers,” Biophys. J. 72(3), 1335–1346 (1997).
[Crossref] [PubMed]

A. Ashkin, “Forces of a single-beam gradient laser trap on a dielectric sphere in the ray optics regime,” Biophys. J. 61(2), 569–582 (1992).
[Crossref] [PubMed]

IEEE Asme T. Mech. (1)

R. J. E. Merry, M. G. J. M. Maassen, M. J. G. van de Molengraft, N. van de Wouw, and M. Steinbuch, “Modeling and waveform optimization of a nano-motion piezo stage,” IEEE Asme T. Mech. 16(4), 615–626 (2011).

J. Appl. Phys. (1)

G. Volpe, G. Kozyreff, and D. Petrov, “Backscattering position detection for photonic force microscopy,” J. Appl. Phys. 102(8), 084701 (2007).
[Crossref]

J. Mol. Cell Biol. (1)

P. Xia, J. Zhou, X. Song, B. Wu, X. Liu, D. Li, S. Zhang, Z. Wang, H. Yu, T. Ward, J. Zhang, Y. Li, X. Wang, Y. Chen, Z. Guo, and X. Yao, “Aurora A orchestrates entosis by regulating a dynamic MCAK-TIP150 interaction,” J. Mol. Cell Biol. 6(3), 240–254 (2014).
[Crossref] [PubMed]

J. Opt. (1)

M. Andersson, F. Czerwinski, and L. B. Oddershede, “Optimizing active and passive calibration of optical tweezers,” J. Opt. 13(4), 044020 (2011).
[Crossref]

Mechatronics (2)

C. Y. Lin and P. Y. Chen, “Precision tracking control of a biaxial piezo stage using repetitive control and double-feedforward compensation,” Mechatronics 21(1), 239–249 (2011).
[Crossref]

C. J. Lin and S. R. Yang, “Precise positioning of piezo-actuated stages using hysteresis-observer based control,” Mechatronics 16(7), 417–426 (2006).
[Crossref]

Methods (1)

A. D. Franck, A. F. Powers, D. R. Gestaut, T. N. Davis, and C. L. Asbury, “Direct physical study of kinetochore-microtubule interactions by reconstitution and interrogation with an optical force clamp,” Methods 51(2), 242–250 (2010).
[Crossref] [PubMed]

Nature (2)

K. Svoboda, C. F. Schmidt, B. J. Schnapp, and S. M. Block, “Direct observation of kinesin stepping by optical trapping interferometry,” Nature 365(6448), 721–727 (1993).
[Crossref] [PubMed]

J. Gelles, B. J. Schnapp, and M. P. Sheetz, “Tracking kinesin-driven movements with nanometre-scale precision,” Nature 331(6155), 450–453 (1988).
[Crossref] [PubMed]

Opt. Commun. (2)

Z. Gong, Z. Wang, Y. M. Li, L. R. Lou, and S. H. Xu, “Axial deviation of an optically trapped particle in trapping force calibration using the drag force method,” Opt. Commun. 273(1), 37–42 (2007).
[Crossref]

A. Buosciolo, G. Pesce, and A. Sasso, “New calibration method for position detector for simultaneous measurements of force constants and local viscosity in optical tweezers,” Opt. Commun. 230(4–6), 357–368 (2004).
[Crossref]

Opt. Express (2)

Rev. Sci. Instrum. (3)

K. Berg-Sørensen and H. Flyvbjerg, “Power spectrum analysis for optical tweezers,” Rev. Sci. Instrum. 75(3), 594–612 (2004).
[Crossref]

K. C. Neuman and S. M. Block, “Optical trapping,” Rev. Sci. Instrum. 75(9), 2787–2809 (2004).
[Crossref] [PubMed]

S. F. Tolić-Nørrelykke, E. Schäffer, J. Howard, F. S. Pavone, F. Jülicher, and H. Flyvbjerg, “Calibration of optical tweezers with positional detection in the back focal plane,” Rev. Sci. Instrum. 77(10), 103101 (2006).
[Crossref]

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Figures (7)

Fig. 1
Fig. 1 Schematic of optical tweezers. A, attenuator; L1- L3, lens; DM1- DM2, dichroic mirror; PSD, position sensing detector. The PSD was located in a conjugate plane of the back focal plane of condenser. Stages consist of a PZT and a mechanical stage.
Fig. 2
Fig. 2 Oscillation response of trapped bead (a) and its power spectral density (b). The PZT oscillated at 10 Hz. The one-second original data (a, grey lines) are smoothed by 40 points (black lines) and fitted (red curve) with a sinusoidal function. The power spectral density (b) of 40-seconds data is fitted in a red curve according to Eq. (3) by blocking the 10-Hz spike.
Fig. 3
Fig. 3 Dependency of coupling ratio on oscillation frequency for a chamber fixed or unfixed on the PZT. According to Eq. (7) with hydrodynamic correction, α was calibrated in x-direction (a) and in y-direction (b).
Fig. 4
Fig. 4 Coupling ratios at depths of 10μm, 20μm and 30μm. a, in x-direction; b, in y-direction.
Fig. 5
Fig. 5 Light scattering of scanning two beads adhered to glass slide. While the slide moves with sinusoidal oscillations at 25 Hz motions in x-direction, peak 1 or peak 2 (indicated by arrowhead) of the scattering intensity appears at when bead 1 or bead 2 (inset figure) passes through the laser beam. A is the actual amplitude. The original data (black lines) were sampled at 50 kHz and smoothed by 50 points (red lines).
Fig. 6
Fig. 6 Coupling ratios calibrated with optical trap and light scattering of two beads adhered to slide.
Fig. 7
Fig. 7 Relation between actual deviations and response amplitudes from PSD for a trapped bead. a, in x-direction; b, in y-direction. Response amplitude from PSD (APSD ) and CCD camera (ACCD ) were fitted with a sinusoidal function, and sensitivity β was calibrated by power spectral density in each measurement. βAPSD is the corresponding deviation.

Equations (7)

Equations on this page are rendered with MathJax. Learn more.

S ( t ) = A b e a d cos ( 2 π f d t + φ ) ,
α = κ A b e a d / ( 12 π 2 η d f d A P Z T ) .
P t h e r m ( f , k h ) = D 0 Re ( γ ( f , k h ) / γ 0 ) π 2 { [ f c , 0 + f Im ( γ ( f , k h ) / γ 0 ) f 2 / f m , 0 ] 2 + [ f Re ( γ ( f , k h ) / γ 0 ) ] 2 } ,
P r e s p o n s e ( f , k h ) = ( A f d | γ ( f , k h ) / γ 0 | ) 2 δ ( f f d ) 2 { [ f c , 0 + f Im ( γ ( f , k h ) / γ 0 ) f 2 / f m , 0 ] 2 + [ f Re ( γ ( f , k h ) / γ 0 ) ] 2 } ,
Re ( γ ( f , k h ) / γ 0 ) = 1 + f f v 3 k h 32 + 3 k h 8 exp ( 4 k h f f v ) cos ( 4 k h f f v )
Im ( γ ( f , k h ) / γ 0 ) = f f v + 3 k h 8 exp ( 4 k h f f v ) sin ( 4 k h f f v ) ,
α = β 2 w e x [ ( f c , 0 / f d + Im ( γ ( f d , k h ) / γ 0 ) f d / f m , 0 ) 2 + Re 2 ( γ ( f d , k h ) / γ 0 ) ] A P Z T | γ ( f d , k h ) / γ 0 | ,

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