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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 19, Iss. 16 — Aug. 1, 2011
  • pp: 15445–15451
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Hybrid optical tweezers for dynamic micro-bead arrays

Yoshio Tanaka, Shogo Tsutsui, Mitsuru Ishikawa, and Hiroyuki Kitajima  »View Author Affiliations


Optics Express, Vol. 19, Issue 16, pp. 15445-15451 (2011)
http://dx.doi.org/10.1364/OE.19.015445


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Abstract

Dynamic micro-bead arrays offer great flexibility and potential as sensing tools in various scientific fields. Two optical trapping techniques, the GPC method using a spatial light modulator and a mechanical scanning method using galvano mirrors, are combined in a hybrid optical tweezers system to handle dynamic micro-bead arrays. This system provides greater versatility while the GPC method creates massive micro-bead arrays in a 2D space, where the trapped beads can be manipulated smoothly and very quickly in a 3D space using the mechanical scanning method. Four typical examples are demonstrated in real time.

© 2011 OSA

1. Introduction

For the dynamic handling of massive micro-bead arrays, we present in this paper a hybrid system consisting of two multi-beam optical tweezers techniques: a generalized phase contrast (GPC) method using a spatial light modulator (SLM) [8

8. R. L. Eriksen, V. R. Daria, and J. Glückstad, “Fully dynamic multiple-beam optical tweezers,” Opt. Express 10(14), 597–602 (2002). [PubMed]

,13

13. J. Glückstad and D. Palima, Generalized Phase Contrast (Springer, 2009), Chaps. 6 and 8.

], and a mechanical scanning method using galvano mirrors (GMs) [11

11. Y. Tanaka, H. Kawada, S. Tsutsui, M. Ishikawa, and H. Kitajima, “Dynamic micro-bead arrays using optical tweezers combined with intelligent control techniques,” Opt. Express 17(26), 24102–24111 (2009). [CrossRef] [PubMed]

]. This system provides greater versatility while the GPC method creates the trap fields for immobilizing massive arrays, where the beads can be manipulated smoothly and very quickly by the mechanical scanning method. We demonstrate four typical examples: the interactive handling of a massive 12 × 12 array and its elements, the dynamic manipulation of two arrays in two-and-half-dimensional (2.5D) space, the high-speed manipulation of the elements in four sets of a 4 × 4 array, and the parallel manipulation of two sets of a 4 × 4 array using both the GPC and GM scanning methods. We also describe the system features and the configuration of the hybrid system.

2. System features and experimental setup

Thus, under the practical and reasonable restrictions of using a commercially available standard microscope and a single laser source, we developed a hybrid system combining two optical trapping techniques (the GPC method using a SLM and a mechanical scanning method using GMs) for the dynamic assembling/handling of massive micro-bead arrays. This system provides greater versatility, because the GPC method creates massive micro-bead arrays in a 2D space where the beads thus trapped can be manipulated very quickly and smoothly in a 3D space using the GM scanning method. Figure 1
Fig. 1 Schematic diagram of a hybrid system combined GPC optical tweezers (orange beam) and GM scanning tweezers (red beam) for interactive/automatic handling of dynamic arrays.
shows the schematic diagram for the implementation of the hybrid system. This optical structure is linked to the inverted microscope (Olympus, IX70) via its epi-fluorescence port. The single laser source is a continuous wave (cw) Nd:YAG laser (Laser Quantum, forte, 1064 nm, TEM00, 700 mW), and its laser beam passing through a half-wave plate (λ/2) is split into two beams (p- and s-polarized beams) by a polarized beam splitter (PBS). One set of optical tweezers, based on the GPC method, is composed of a SLM (Hamamatsu Photonics, LCOS-SLM), a phase contrast filter (PCF) and lenses (L1(f 1 = 300 mm), L2(f 2 = 200 mm), L3(f 3 = 400 mm)), and uses the p-polarized beam. The custom PCF for the GPC tweezers was fabricated by the dry etch of a synthesized quartz glass plate, etching a 40-μm diameter circular area on its surface. Note that the optimal etching depth, d PCF, is
dPCF=λ2(nλ1),
(1)
where λ is the wavelength of laser beam, and nλ is the refraction index of the glass plate. The other set of optical tweezers, based on the GM scanning method, is composed of GMs and a lens (Lz) mounted on a PC-controlled linear stage, and uses the s-polarized beam.

The trapping beams of these tweezers are introduced coaxially into the microscope via a dichroic mirror and an oil-immersion objective lens. The laser power can be distributed between the two methods in varying proportions with the half-wave plate. The geometric shape of the trap fields formed by these tweezers can also be controlled independently, since the p- and the s-polarized beams do not interfere with each other. In the hybrid system, micro-beads trapped by the GPC tweezers are normally trapped at a microscope’s imaging plane, fo, against the upper surface of a closed space. On the other hand, a micro-bead trapped by the GM scanning tweezers at a beam’s focal point, fs, can be manipulated in a 3D space. Note that in our system arrays formed by the GM scanning tweezers based on the T3S technique can be handled only in a 2.5D space, where the arrays can be translated/rotated in the XY-plane at an arbitrary Z-coordinate. This limitation arises from the lower bandwidth (several Hz in our system) of Z-axis manipulation due to the lens Lz translation using the linear stage, since the lens translation has large inertia and requires mm order motion for Z-axis manipulation. For true 3D T3S array manipulation, therefore, an alternative Z-axis manipulation method with higher bandwidth (for example, using a deformable mirror [17

17. Y. Huang, J. Wan, M. C. Cheng, Z. Zhang, S. M. Jhiang, and C. H. Menq, “Three-axis rapid steering of optically propelled micro/nanoparticles,” Rev. Sci. Instrum. 80(6), 063107 (2009). [CrossRef] [PubMed]

]) is required.

3. Demonstrations

3.1 Interactive handling of arrays

Here we demonstrate the interactive assembly/handling of micro-bead arrays. The sample is polystyrene micro-beads (Polysciences, 2 μm) dispersed in water, and the objective lens employed is an oil-immersion lens (Olympus, UPlanFLN × 60, NA = 1.25, IR).

Figure 2
Fig. 2 (Media 1) Video frame sequence of interactive manipulation of micro-beads to assemble and handle a massive array. Inset in (a) shows the 14 × 14 matrix pattern of disk-shaped beams and its irradiation area (dotted circle) in imaging plane, with GPC tweezers. (b-c): The elements of the array are taken out one by one from the 12 × 12 array using the PC-mouse controlled GM scanning tweezers.
(Media 1) is a sequence of images recorded with the CCD camera showing the results of the interactive assembling of a 12 × 12 array and the subsequent handling of its elements. The laser power for the GPC tweezers (p-polarized beam) at the entrance pupil of the objective lens was 240 mW, and that for the GM scanning tweezers (s-polarized beam) was 28 mW. First, a 14 × 14 matrix pattern of disk-shaped beams illustrated in the inset of Fig. 2(a) was irradiated with the GPC tweezers, where the irradiation area was 36 μm in diameter, and each disk-shaped beam with a diameter 2 μm was able to trap a single bead at the center. Secondly, we interactively transported 144 beads into the array, one by one, to form a massive 12 × 12 array of micro-beads using a drag-and-drop user interface with the PC-mouse controlled GM scanning tweezers (Fig. 2(a)). This drag-and-drop user interface using a PC-mouse (where the right button and the wheel button were assigned the shutter on/off command and the Z-coordinate movements of the GM scanning tweezers, respectively) allowed us to collect and arrange beads smoothly into the lattice points generated by the GPC tweezers; for example, it took less than 10 minutes to assemble the 12 × 12 array. Thirdly, three beads (indicated by the white arrows and the ellipse in Fig. 2) in the sixth column of the 12 × 12 array were taken out one by one using the user interface (Figs. 2(b) and 2(c)). Fourthly, these beads were returned into the array to re-form the complete 12 × 12 matrix (Media 1). Finally, the 12 × 12 array was broken after shutting out the irradiation of the disk-shaped beams. To our knowledge, this is the first demonstration of the optical assembly of significantly large micro-bead arrays composed of over a hundred beads, without lattice defects and without undesired stacking of beads along the beam axis.

In another demonstration shown in Fig. 3
Fig. 3 (Media 2) Video frame sequence of the interactive manipulation of a 2 × 2 array in a 2.5D space. The 2 × 2 array is controlled by the time-sharing synchronized scanning technique while the 24 beads form a square with GPC tweezers. (f): Movements of the 2 × 2 array in cross-sectional view, where yellow circles denote the 2 × 2 array.
(Media 2), a 2 × 2 array trapped by the T3S optical tweezers was interactively manipulated in a 2.5D space while the 24 beads trapped by the GPC tweezers formed a square. The laser power for the GPC tweezers was 172 mW, and that for the GM scanning tweezers was 72 mW. First, in order to assemble a 2 × 2 array and a square of micro-beads, the beads were arranged in a 2D pattern of disk-shaped beams with the GPC tweezers using the drag-and-drop user interface with the GM scanning tweezers in the same manner as in the first demonstration, where the beads in the 2 × 2 array and the square were trapped against the lower surface of an upper cover glass in the same XY-plane, namely the microscope’s imaging plane (Fig. 3(a)). Secondly, four beads forming the 2 × 2 array were firmly and simultaneously trapped, using the T3S optical tweezers instead of the GPC tweezers, while the 24 beads forming the square were still trapped by the GPC tweezers. Finally, subsequent 2.5D movements of the 2 × 2 array, namely descent (Fig. 3(b)), translation in another XY-plane (Figs. 3(c) and 3(d)) and ascent (Fig. 3(e)), were able to traverse the square in the 3D space. Consequently, the 2 × 2 array which was outside the square was able to reach its destination within the square, whilst maintaining its geometrical shape. Figure 3(f) illustrates these 2.5D movements of the 2 × 2 array in cross-sectional view, where yellow circles indicate the 2 × 2 array and red circles indicate the square.

3.2 High-speed and parallel handling of arrays

To verify the performance of the hybrid system for the automatic handling of both the arrays and their components, here we demonstrate the high-speed manipulation of the array’s elements and the parallel handling of multiple arrays. The sample and the objective lens are the same as mentioned in Section 3.1.

Figure 4
Fig. 4 (Media 3) Video frame sequence of the high-speed manipulation of the elements of micro-bead arrays forming the four sets of a 4 × 4 array with GPC tweezers. Four beads indicated by numbers in (a) are sequentially manipulated at super-high speeds along the paths indicated by black arrows in (b) and (c). The accompanying movie is in real time, not accelerated.
(Media 3) is a sequence of images recorded with the CCD camera showing the results of the high-speed manipulation of the elements in the four sets of a 4 × 4 array. The laser power for the GPC tweezers was 198 mW, and that for the GM scanning tweezers was 47 mW. First, in the same manner as in the first demonstration in Section 3.1, four sets of a 4 × 4 array were assembled in a 12 × 12 matrix pattern of disk-shaped beams with the GPC tweezers, where each disk-shaped beam was 2 μm in diameter (Fig. 4(a)). Next, using the GM scanning tweezers, after a bead at a corner of single 4 × 4 array was taken out from the array, the bead was driven twice along an 8-shaped path at super-high speeds (for example, the path for bead numbered ‘one’ is indicated by black arrows in Figs. 4(b) and 4(c)), and returned again to its original position. These automated procedures were executed for the four beads at a corner of the 4 × 4 arrays in the numbered order in Fig. 4(a). To detect the trajectories by visual observation and by color CCD camera images recorded at a sampling rate of 1/30 second, we introduced a He-Ne laser beam as a marker for the GM scanning tweezers, and the velocity along the 8-shaped paths was specified at 85 μm/s, although we could have manipulated the bead more quickly. Note that in the accompanying movie, the 8-shaped trajectories during the high-speed manipulation are observed by the dim red line (i.e. as an afterimage of the bead).

4. Conclusion

We have developed hybrid optical tweezers consisting of GPC tweezers and GM scanning tweezers, and demonstrated four typical examples of interactive or automatic handling of the massive arrays. Although we have dealt with arrays composed of micro-spheres alone, the hybrid system combined with image processing techniques would enable us to apply the multiple-force optical clamp techniques to massive arrays composed of non-spherical micro-objects (for example, rod-shaped, ellipse-shaped, etc.) such as diatoms and whiskers [19

19. Y. Tanaka, H. Kawada, K. Hirano, M. Ishikawa, and H. Kitajima, “Automated manipulation of non-spherical micro-objects using optical tweezers combined with image processing techniques,” Opt. Express 16(19), 15115–15122 (2008). [CrossRef] [PubMed]

]. Additionally, the hybrid system has great versatility as a non-contact micromanipulation tool for various biomedical applications as well as for the demonstrated applications of massive micro-bead arrays; therefore, the system will enable exciting applications not only in microfluidic systems [20

20. R. W. Applegate Jr, J. Squier, T. Vestad, J. Oakey, and D. V. M. Marr, “Optical trapping, manipulation, and sorting of cells and colloids in microfluidic systems with diode laser bars,” Opt. Express 12(19), 4390–4398 (2004). [CrossRef] [PubMed]

] but also in cell biology, such as non-contact mechanotransduction in live cells [21

21. X. Trepat, L. Deng, S. S. An, D. Navajas, D. J. Tschumperlin, W. T. Gerthoffer, J. P. Butler, and J. J. Fredberg, “Universal physical responses to stretch in the living cell,” Nature 447(7144), 592–595 (2007). [CrossRef] [PubMed]

]. Furthermore, under the visual feedback control schemes, the use of the force feedback device instead of the PC-mouse for the user interface of the interactive control of the GM scanning tweezers, may enable higher dexterous micromanipulations [22

22. C. Pacoret, R. Bowman, G. Gibson, S. Haliyo, D. Carberry, A. Bergander, S. Régnier, and M. Padgett, “Touching the microworld with force-feedback optical tweezers,” Opt. Express 17(12), 10259–10264 (2009). [CrossRef] [PubMed]

], since even conventional GM scanning tweezers can respond within 1 ms.

Acknowledgments

This work was partly supported by the Japan Society for the Promotion of Science (Grants-in-Aid for Scientific Research (C, #20560252)).

References and links

1.

W.-H. Tan and S. Takeuchi, “A trap-and-release integrated microfluidic system for dynamic microarray applications,” Proc. Natl. Acad. Sci. U.S.A. 104(4), 1146–1151 (2007). [CrossRef] [PubMed]

2.

A. Terray, J. Oakey, and D. W. M. Marr, “Microfluidic control using colloidal devices,” Science 296(5574), 1841–1844 (2002). [CrossRef] [PubMed]

3.

P. Y. Chiou, A. T. Ohta, and M. C. Wu, “Massively parallel manipulation of single cells and microparticles using optical images,” Nature 436(7049), 370–372 (2005). [CrossRef] [PubMed]

4.

H. Noda, Y. Kohara, K. Okano, and H. Kambara, “Automated bead alignment apparatus using a single bead capturing technique for fabrication of a miniaturized bead-based DNA probe array,” Anal. Chem. 75(13), 3250–3255 (2003). [CrossRef] [PubMed]

5.

C. D. Onal and M. Sitti, “Visual servoing-based autonomous 2-D manipulation of microparticles using a nanoprobe,” IEEE Trans. Contr. Syst. Technol. 15(5), 842–852 (2007). [CrossRef]

6.

D. G. Grier, “A revolution in optical manipulation,” Nature 424(6950), 810–816 (2003). [CrossRef] [PubMed]

7.

J. E. Curtis, B. A. Koss, and D. G. Grier, “Dynamic holographic optical tweezers,” Opt. Commun. 207(1–6), 169–175 (2002). [CrossRef]

8.

R. L. Eriksen, V. R. Daria, and J. Glückstad, “Fully dynamic multiple-beam optical tweezers,” Opt. Express 10(14), 597–602 (2002). [PubMed]

9.

G. S. Sinclair, P. Jordan, J. Courtial, M. Padgett, J. Cooper, and Z. J. Laczik, “Assembly of 3-dimensional structures using programmable holographic optical tweezers,” Opt. Express 12(22), 5475–5480 (2004). [CrossRef] [PubMed]

10.

C. Mio and D. W. M. Marr, “Optical trapping for the manipulation of colloidal particles,” Adv. Mater. (Deerfield Beach Fla.) 12(12), 917–920 (2000). [CrossRef]

11.

Y. Tanaka, H. Kawada, S. Tsutsui, M. Ishikawa, and H. Kitajima, “Dynamic micro-bead arrays using optical tweezers combined with intelligent control techniques,” Opt. Express 17(26), 24102–24111 (2009). [CrossRef] [PubMed]

12.

R. D. L. Hanes, M. C. Jenkins, and S. U. Egelhaaf, “Combined holographic-mechanical optical tweezers: construction, optimization, and calibration,” Rev. Sci. Instrum. 80(8), 083703 (2009). [CrossRef] [PubMed]

13.

J. Glückstad and D. Palima, Generalized Phase Contrast (Springer, 2009), Chaps. 6 and 8.

14.

D. Palima and J. Glückstad, “Comparison of generalized phase contrast and computer generated holography for laser image projection,” Opt. Express 16(8), 5338–5349 (2008). [CrossRef] [PubMed]

15.

P. J. Rodrigo, V. R. Daria, and J. Glückstad, “Four-dimensional optical manipulation of colloidal particles,” Appl. Phys. Lett. 86(7), 074103 (2005). [CrossRef]

16.

P. J. Rodrigo, R. L. Eriksen, V. R. Daria, and J. Glueckstad, “Interactive light-driven and parallel manipulation of inhomogeneous particles,” Opt. Express 10(26), 1550–1556 (2002). [PubMed]

17.

Y. Huang, J. Wan, M. C. Cheng, Z. Zhang, S. M. Jhiang, and C. H. Menq, “Three-axis rapid steering of optically propelled micro/nanoparticles,” Rev. Sci. Instrum. 80(6), 063107 (2009). [CrossRef] [PubMed]

18.

D. H. Ballard and C. M. Brown, Computer Vision (Prentice-Hall, 1982), Chaps. 3 and 4. [PubMed]

19.

Y. Tanaka, H. Kawada, K. Hirano, M. Ishikawa, and H. Kitajima, “Automated manipulation of non-spherical micro-objects using optical tweezers combined with image processing techniques,” Opt. Express 16(19), 15115–15122 (2008). [CrossRef] [PubMed]

20.

R. W. Applegate Jr, J. Squier, T. Vestad, J. Oakey, and D. V. M. Marr, “Optical trapping, manipulation, and sorting of cells and colloids in microfluidic systems with diode laser bars,” Opt. Express 12(19), 4390–4398 (2004). [CrossRef] [PubMed]

21.

X. Trepat, L. Deng, S. S. An, D. Navajas, D. J. Tschumperlin, W. T. Gerthoffer, J. P. Butler, and J. J. Fredberg, “Universal physical responses to stretch in the living cell,” Nature 447(7144), 592–595 (2007). [CrossRef] [PubMed]

22.

C. Pacoret, R. Bowman, G. Gibson, S. Haliyo, D. Carberry, A. Bergander, S. Régnier, and M. Padgett, “Touching the microworld with force-feedback optical tweezers,” Opt. Express 17(12), 10259–10264 (2009). [CrossRef] [PubMed]

OCIS Codes
(170.0170) Medical optics and biotechnology : Medical optics and biotechnology
(170.4520) Medical optics and biotechnology : Optical confinement and manipulation
(350.4855) Other areas of optics : Optical tweezers or optical manipulation
(150.5758) Machine vision : Robotic and machine control

ToC Category:
Optical Trapping and Manipulation

History
Original Manuscript: June 3, 2011
Revised Manuscript: July 12, 2011
Manuscript Accepted: July 12, 2011
Published: July 27, 2011

Virtual Issues
Vol. 6, Iss. 9 Virtual Journal for Biomedical Optics

Citation
Yoshio Tanaka, Shogo Tsutsui, Mitsuru Ishikawa, and Hiroyuki Kitajima, "Hybrid optical tweezers for dynamic micro-bead arrays," Opt. Express 19, 15445-15451 (2011)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-19-16-15445


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References

  1. W.-H. Tan and S. Takeuchi, “A trap-and-release integrated microfluidic system for dynamic microarray applications,” Proc. Natl. Acad. Sci. U.S.A. 104(4), 1146–1151 (2007). [CrossRef] [PubMed]
  2. A. Terray, J. Oakey, and D. W. M. Marr, “Microfluidic control using colloidal devices,” Science 296(5574), 1841–1844 (2002). [CrossRef] [PubMed]
  3. P. Y. Chiou, A. T. Ohta, and M. C. Wu, “Massively parallel manipulation of single cells and microparticles using optical images,” Nature 436(7049), 370–372 (2005). [CrossRef] [PubMed]
  4. H. Noda, Y. Kohara, K. Okano, and H. Kambara, “Automated bead alignment apparatus using a single bead capturing technique for fabrication of a miniaturized bead-based DNA probe array,” Anal. Chem. 75(13), 3250–3255 (2003). [CrossRef] [PubMed]
  5. C. D. Onal and M. Sitti, “Visual servoing-based autonomous 2-D manipulation of microparticles using a nanoprobe,” IEEE Trans. Contr. Syst. Technol. 15(5), 842–852 (2007). [CrossRef]
  6. D. G. Grier, “A revolution in optical manipulation,” Nature 424(6950), 810–816 (2003). [CrossRef] [PubMed]
  7. J. E. Curtis, B. A. Koss, and D. G. Grier, “Dynamic holographic optical tweezers,” Opt. Commun. 207(1–6), 169–175 (2002). [CrossRef]
  8. R. L. Eriksen, V. R. Daria, and J. Glückstad, “Fully dynamic multiple-beam optical tweezers,” Opt. Express 10(14), 597–602 (2002). [PubMed]
  9. G. S. Sinclair, P. Jordan, J. Courtial, M. Padgett, J. Cooper, and Z. J. Laczik, “Assembly of 3-dimensional structures using programmable holographic optical tweezers,” Opt. Express 12(22), 5475–5480 (2004). [CrossRef] [PubMed]
  10. C. Mio and D. W. M. Marr, “Optical trapping for the manipulation of colloidal particles,” Adv. Mater. (Deerfield Beach Fla.) 12(12), 917–920 (2000). [CrossRef]
  11. Y. Tanaka, H. Kawada, S. Tsutsui, M. Ishikawa, and H. Kitajima, “Dynamic micro-bead arrays using optical tweezers combined with intelligent control techniques,” Opt. Express 17(26), 24102–24111 (2009). [CrossRef] [PubMed]
  12. R. D. L. Hanes, M. C. Jenkins, and S. U. Egelhaaf, “Combined holographic-mechanical optical tweezers: construction, optimization, and calibration,” Rev. Sci. Instrum. 80(8), 083703 (2009). [CrossRef] [PubMed]
  13. J. Glückstad and D. Palima, Generalized Phase Contrast (Springer, 2009), Chaps. 6 and 8.
  14. D. Palima and J. Glückstad, “Comparison of generalized phase contrast and computer generated holography for laser image projection,” Opt. Express 16(8), 5338–5349 (2008). [CrossRef] [PubMed]
  15. P. J. Rodrigo, V. R. Daria, and J. Glückstad, “Four-dimensional optical manipulation of colloidal particles,” Appl. Phys. Lett. 86(7), 074103 (2005). [CrossRef]
  16. P. J. Rodrigo, R. L. Eriksen, V. R. Daria, and J. Glueckstad, “Interactive light-driven and parallel manipulation of inhomogeneous particles,” Opt. Express 10(26), 1550–1556 (2002). [PubMed]
  17. Y. Huang, J. Wan, M. C. Cheng, Z. Zhang, S. M. Jhiang, and C. H. Menq, “Three-axis rapid steering of optically propelled micro/nanoparticles,” Rev. Sci. Instrum. 80(6), 063107 (2009). [CrossRef] [PubMed]
  18. D. H. Ballard and C. M. Brown, Computer Vision (Prentice-Hall, 1982), Chaps. 3 and 4. [PubMed]
  19. Y. Tanaka, H. Kawada, K. Hirano, M. Ishikawa, and H. Kitajima, “Automated manipulation of non-spherical micro-objects using optical tweezers combined with image processing techniques,” Opt. Express 16(19), 15115–15122 (2008). [CrossRef] [PubMed]
  20. R. W. Applegate, J. Squier, T. Vestad, J. Oakey, and D. V. M. Marr, “Optical trapping, manipulation, and sorting of cells and colloids in microfluidic systems with diode laser bars,” Opt. Express 12(19), 4390–4398 (2004). [CrossRef] [PubMed]
  21. X. Trepat, L. Deng, S. S. An, D. Navajas, D. J. Tschumperlin, W. T. Gerthoffer, J. P. Butler, and J. J. Fredberg, “Universal physical responses to stretch in the living cell,” Nature 447(7144), 592–595 (2007). [CrossRef] [PubMed]
  22. C. Pacoret, R. Bowman, G. Gibson, S. Haliyo, D. Carberry, A. Bergander, S. Régnier, and M. Padgett, “Touching the microworld with force-feedback optical tweezers,” Opt. Express 17(12), 10259–10264 (2009). [CrossRef] [PubMed]

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