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Real-time actin-cytoskeleton depolymerization detection in a single cell using optical tweezers Anna Chiara De Luca, 1,2 Giovanni Volpe, 3 Anna Morales Drets, 3 Maria Isabel Geli, 4 Giuseppe Pesce, 1 Giulia Rusciano, 1,2 Antonio Sasso, 1,2 Dmitri Petrov 3,51 Dipartimento di Scienze Fisiche, Universit` a di Napoli “Federico II”, Complesso Universitario Monte S. Angelo, Via Cinthia, 80126 Napoli, Italy 2 CNISM - Consorzio Nazionale Interuniversitario per le Scienze Fisiche della Materia - Sede di Napoli 3 ICFO - Institut de Ciencies Fotoniques, Mediterranean Technology Park, 08860, Castelldefels (Barcelona), Spain 4 IBMB - Institut de Biolog´ ıa Molecular de Barcelona - CSIC, 08034, c/ Jordi Girona 18-26 (Barcelona), Spain 5 ICREA - Instituci ´ o Catalana de Recerca i Estudis Avanc ¸ats, 08010, Barcelona, Spain [email protected] Abstract: The cytoskeleton provides the backbone structure for the cellular organization, determining, in particular, the cellular mechanical properties. These are important factors in many biological processes, as, for instance, the metastatic process of malignant cells. In this paper, we demonstrate the possibility of monitoring the cytoskeleton structural transformations in optically trapped yeast cells (Saccharomyces cerevisiae) by tracking the forward scattered light via a quadrant photodiode. We dis- tinguished normal cells from cells treated with latrunculin A, a drug which is known to induce the actin-cytoskeleton depolymerization. Since the proposed technique relies only on the inherent properties of the optical trap, without requiring external markers or biochemical sensitive spectroscopic techniques, it can be readily combined with existing optical tweezers setups. © 2007 Optical Society of America OCIS codes: (140.7010) Trapping; (170) Medical optics and biotechnology; (170.1420) Biol- ogy; (170.4520) Optical confinement and manipulation; (110.0180) Microscopy References and links 1. B. Alberts, D. Bray, A. Johnson, J. Lewis, M. Raff, K. Roberts and P. Walter, Essential Cell Biology, (Garland, New York, 2002). 2. K. M. Rao and H. J. Cohen, “Actin cytoskeleton network in aging and cancer,” Mutat. Res. 256, 139–148 (1991). 3. J. Guck, S. Schinkinger, B. Lincoln, F. Wottawah, S. Ebert, M. Romeyke, D. Lenz, H. M. Erickson, R. Anan- thakrishnan, D. Mitchell, J. K ¨ as, S. Ulvick and C. Bilby “Optical deformability as an inherent cell marker for testing malignant transformation and metastatic competence,” Biophys. J. 88, 3689–3698 (2005). 4. K. A. Ward, W. I. Li, S. Zimmer and T. Davis, “Viscoelastic properties of transformed cells: role in tumor cell progression and metastasis formation,” Biorheology 28, 301–313 (1991). 5. R. M. Hochmuth, “Micropipette aspiration of living cells,” J. Biomech. 33, 15–22 (2000). #81556 - $15.00 USD Received 28 Mar 2007; revised 11 May 2007; accepted 5 Jun 2007; published 11 Jun 2007 (C) 2007 OSA 25 June 2007 / Vol. 15, No. 13 / OPTICS EXPRESS 7922

Real-time actin-cytoskeleton depolymerization detection in a single cell using optical tweezers

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Real-time actin-cytoskeletondepolymerization detection in a single

cell using optical tweezers

Anna Chiara De Luca,1,2 Giovanni Volpe, 3 Anna Morales Drets, 3

Maria Isabel Geli, 4 Giuseppe Pesce, 1 Giulia Rusciano, 1,2 AntonioSasso, 1,2 Dmitri Petrov 3,5∗

1 Dipartimento di Scienze Fisiche, Universita di Napoli “Federico II”, ComplessoUniversitario Monte S. Angelo, Via Cinthia, 80126 Napoli, Italy

2 CNISM - Consorzio Nazionale Interuniversitario per le Scienze Fisiche della Materia - Sededi Napoli

3 ICFO - Institut de Ciencies Fotoniques, Mediterranean Technology Park, 08860,Castelldefels (Barcelona), Spain

4 IBMB - Institut de Biologıa Molecular de Barcelona - CSIC, 08034, c/ Jordi Girona 18-26(Barcelona), Spain

5 ICREA - Institucio Catalana de Recerca i Estudis Avancats, 08010, Barcelona, Spain

[email protected]

Abstract: The cytoskeleton provides the backbone structure for thecellular organization, determining, in particular, the cellular mechanicalproperties. These are important factors in many biologicalprocesses,as, for instance, the metastatic process of malignant cells. In this paper,we demonstrate the possibility of monitoring the cytoskeleton structuraltransformations in optically trapped yeast cells (Saccharomyces cerevisiae)by tracking the forward scattered light via a quadrant photodiode. We dis-tinguished normal cells from cells treated with latrunculin A, a drug whichis known to induce the actin-cytoskeleton depolymerization. Since theproposed technique relies only on the inherent properties of the optical trap,without requiring external markers or biochemical sensitive spectroscopictechniques, it can be readily combined with existing optical tweezers setups.

© 2007 Optical Society of America

OCIS codes: (140.7010) Trapping; (170) Medical optics and biotechnology; (170.1420) Biol-ogy; (170.4520) Optical confinement and manipulation; (110.0180) Microscopy

References and links1. B. Alberts, D. Bray, A. Johnson, J. Lewis, M. Raff, K. Roberts and P. Walter,Essential Cell Biology,(Garland,

New York, 2002).2. K. M. Rao and H. J. Cohen, “Actin cytoskeleton network in aging and cancer,” Mutat. Res.256, 139–148 (1991).3. J. Guck, S. Schinkinger, B. Lincoln, F. Wottawah, S. Ebert, M. Romeyke, D. Lenz, H. M. Erickson, R. Anan-

thakrishnan, D. Mitchell, J. K ¨as, S. Ulvick and C. Bilby “Optical deformability as an inherent cell marker fortesting malignant transformation and metastatic competence,”Biophys. J.88, 3689–3698 (2005).

4. K. A. Ward, W. I. Li, S. Zimmer and T. Davis, “Viscoelastic properties of transformed cells: role in tumor cellprogression and metastasis formation,” Biorheology28, 301–313 (1991).

5. R. M. Hochmuth, “Micropipette aspiration of living cells,” J. Biomech.33, 15–22 (2000).

#81556 - $15.00 USD Received 28 Mar 2007; revised 11 May 2007; accepted 5 Jun 2007; published 11 Jun 2007

(C) 2007 OSA 25 June 2007 / Vol. 15, No. 13 / OPTICS EXPRESS 7922

6. I. Y. Wong, M. L. Gardel, D. R. Reichman, E. R. Weeks, M.T. Valentine, A. R. Bausch and D. A. Weitz,“Anomalous diffusion probes microstructure dynamics of entangled F-Actin natworks,” Phys. Rev. Lett.92,No.17, 178101–4 (2004).

7. I. M. Tolic-Norrelykke, E-L. Munteanu, G. Thon, L. Oddershede, and K. Berg-Sorensen, “Anomalous diffusionin living yeast cells,” Phys. Rev. Lett.93, 0781021–0781024 (2004).

8. G. V. Soni, B. M. J. Ali, Y. Hatwalne and G. V. Shivashankar,“Single particle tracking correlated bacterialdynamics,” Biophys. J.84, 2634–2637 (2003).

9. J. C. Crocker, M. T. Valentine, E. R. Weeks, T. Gisler, P. D.Kaplan, A. G. Yodh, and D. A. Weitz, “Two.pointmicrorheology of inhomogeneous soft material,” Phys. Rev. Lett. 85, 888–891 (2000).

10. J. Sleep, D. Wilson, R. Simmons and W. Gratzer, “Elasticy ofthe red cell membrane and its relation to hemolyticdisorders: an optical tweezers study,” Biophys. J.77, 3085–3095 (1999).

11. J. Guck, R. Ananthakrishnan, T. J. Moon, C. C. Cunningham,and J. Kas, “Optical Deformability of Soft Biolog-ical Dielectrics,” Phys. Rev. Lett.84, 5451–5454 (2000).

12. L. P. Ghislain and W. W. Webb, “Scanning-force microscopebased on an optical trap,” Opt. Lett.18, 1678–1680(1993).

13. E. L. Florin, A. Pralle, E. H. Stelzer and J. K. H. Horber, “Photonic forcemicroscope calibration by thermal noiseanalysis,” Appl. Phys. A66, 71–73 (1998).

14. E. Helfer, S. Harlepp, L. Bourdieu, J. Robert, F. C. MacKintosh and D. Chatenay, “Microreology of Biopolymer-Membrane Complexes,” Phys. Rev. Lett.85, No.2 457–460 (2000).

15. M. Wei, K. Yang, A. Karmenyan, and A. Chiou, “Three-dimensional optical force field on a Chinese hamsterovary cell in a fiber-optical dual-beam trap,” Opt. Express14, No.7 3056–3064 (2006).

16. G. Volpe, G. P. Singh, and D. Petrov, “Dynamics of a growingcell in an optical trap,” Appl. Phys. Lett.88,2311061–3 (2006).

17. M. T. Wei and A. Chiou, “Three-dimensional tracking of Brownian motion of a particle trapped in optical tweez-ers with a pair of orthogonal tracking beams and the determination of the associated optical force constants,”Opt. Express13, No.15 5798–5806 (2005).

18. M. Zhan, J. Renken and S. Seeger, “Fluorimetric multiparameter cell assay at the single cell level fabricated byoptical tweezers,” FEBS Lett.443, 337–340 (1999).

19. L. Paterson, E. Papagiakoumou, G. Milne, V. Garces-Chavez, S. A. Tatarkova, W. Sibbet, F. J. Gunn-Moore, P. E.Bryant, A. Riches and K. Dholakia, “Light-induced cell separation in a tailored optical landscape,” Appl. Phys.Lett. 87, 123901–3 (2005).

20. J. A. Dharmadhikari, S. Roy, A. K. Dharmadhikari, S. Sharma and D. Mathur, “Torque-generating malaria-infected red blood cells in an optical trapp,” Opt. Express12, 1179–1184 (2004).

21. S. K. Mohanty, K. S. Mohanty and P. K. Gupta, “Dynamics of interaction of rbc with optical tweezers,” Opt.Express13, 4745–4751 (2005).

22. K. R. Ayscough, J. Stryker, N. Pokala, M. Sanders, P. Crews and D. G. Drubin, “High rates of actin filamentsturnover in budding yeast and roles for actin in extablishment and maintenance of cell polarity revealed using theactin inhibitor latrunculin A,” J. Cell. Biol.137, 399–416 (1997).

23. M. Cou, S. L. Brenner, I. Spector and E. D. Korn, “Inhibition of actin polymerization by latrunculin A,” FEBSLett. 213, 316–318 (1987).

24. S. C. Kuo, “A single assay for local heating by optical tweezers,” Methods Cell Biol.55, 43–45 (1998).25. E. J. G. Peterman, F. Gittes and C. F. Schmidt, “Laser-induced heating in optical traps,” Biophys. J.84, 1308–

1316 (2003).26. G. P. Singh, G. Volpe, C. M. Creely, H. Grotsch, I. M. Geli, and D. Petrov, “The lag phase and G1 phase ofa

single yeast cell monitored by Raman microspectroscopy,” J. Raman Spectrosc.37, 858–864 (2006).27. C.F. Robinow and J. S. Hyams, inMolecular biology of the fission yeast,A. Nasim, P. Young, and B. F. Jonson,

eds. (Academic Press, Inc. San Diego, 1989), pp. 273–330.28. T. A. Vida and S. D. Emr, “A new vital stain for visualizing vacuolar membrane dynamics and endocytosis in

yeast,” J. Cell Biol.128, 779–792 (1995).29. J. Achilles, H. Harms and S. Muller, “Analysis of living S.cerevisiae cell states-A three color approach,” Cytom-

etry A. 69, 173–177 (2006).30. L. Sacconi, I. M. Toli ´c-Nørrelykke, C. Stringari, R. Antolini and F. S. Pavone, “Optical micromanipulations

inside yeast cells,” Appl. Opt.44, No. 11 2001–2007 (2005).31. K. L. Hill, N. L Catlett and L. S. Weisman, “Actin and myosin function in directed vacuole movement during

cell division in Saccharomyces cerevisiae,” J. Cell Biol.135, 1535–1549 (1996).32. K. L. Fehrenbacher, H. C. Yang, A. C. Gay, T. M. Huckaba andL. A. Pon, “Live cell imaging of mitochondrial

movement along actin cables in budding yeast,” Curr. Biol.14, 1996–2004 (2004).33. K. M. Addas, C. F. Schmidt, and J. X. Tang, “Microrheology of solutions of semiflexible biopolymer filaments

using laser tweezers interferometry,” Phys. Rev. E70, 021503 1–16 (2004).

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1. Introduction

The cytoskeleton is a dynamical structure made up by a network of protein filaments [1]. Oneof these is the actin which is present in all the cytoplasm andin particular in the cell cortex. Thecytoskeleton provides the cell with mechanical rigidity and takes part in many important cellularfunctions, such as cell mobility, cell division and vesicletransport. Cytoskeleton alterations arerelated to several disease, including infectious processes, circulatory problems, blood diseases(anemia), and even aging related (Alzheimer) and motor neuron (sclerosis) diseases. Oftenthe cell malignant transformation is associated with a change in the cytoskeleton viscoelasticproperties [2, 3]. The changes include alterations in cellular elasticity and viscosity, that maybe used as cellular markers and diagnostic parameters [4].

There are only few experimental techniques which are able togive information about cellularmechanical properties. Historically, the prevalent technique has been micropipette aspiration[5]. More recently, micro-rheological methods have been used to make local measurements ofviscoelastic properties inside cells [6, 7].

In such experiments micro-spheres are employed to probe themedium response using ei-ther video or laser tracking [8, 9]. The tracked particle motion is often simply related to itsBrownian motion (passive technique), while, in other cases, it is driven externally (active tech-nique). Mechanical response of living cells can also be obtained by stretching the whole cellusing atomic force microscopes, magnetic tweezers [10], oroptical stretchers [11]. However, allthese techniques are quite complicate to realize and require special, often invasive, preparationprocedures, such as micro-bead insertion inside cells.

In this work, we propose and demonstrate a simple, fast and reliable method to monitor theactin-cytoskeleton structural transformations in optically trapped yeast cells (Saccharomycescerevisiae) by tracking the forward scattered light via a quadrant photodiode. This technique issimilar to the photonic force microscope [12, 13] and has been applied for living cells in [7, 14-16]. The non invasive character of Optical Tweezers allows the observation of cellular responseto stress without interference due to non physiological handling [17-21], which might lead tomeasurement artefacts. In addition, since this technique relies only on the inherent propertiesof the optical trap, without requiring external markers or biochemical sensitive spectroscopictechniques, it can be readily combined with existing optical tweezers set-ups.

2. Experimental setup

Figure 1 illustrates the main components of our experimental setup. The trapping beam is givenby a semiconductor laser (785nm, Monocrom, Barcelona, Spain) with a monomode fiber outputthat generates a Gaussian beam and emits a maximum power of 15mW. It is tightly focused intothe sample by an Olympus oil-immersion infinity corrected objective lens (100X, 1.25 N.A.).A telescope, formed by lensesL1 ( f1 = 10cm) andL2 ( f2 = 30cm), assures a collimated beamoverfilling at the objective input pupil. The forward scattered light from the trapped object iscollected by a second objective lens (40X, 0.75 N.A.) positioned over the sample and projectedonto a quadrant photodiode (QPD), to track the Brownian motion of the trapped cell organelles.The resulting signals are, then, transferred through an analog to digital conversion card to acomputer for the analysis. The light from a LED, focused on the sample by the same 40Xobjective, was used to illuminate the sample; an image of thetrapped cell was obtained by usinga CCD camera, coupled to the microscope. The cells are suspended in physiological solutionand contained in an home-made sample holder, constituted bytwo sandwiched 80µmcoverslipsseparated by a 100µmspacer and sealed with water-insoluble silicone vacuum grease to preventsample evaporation.

For this experiment, we use a kind of yeast,Saccharomyces cerevisiae, 3− 5µm diame-ter. It is an excellent model organism for research in cellular and molecular biology as many

#81556 - $15.00 USD Received 28 Mar 2007; revised 11 May 2007; accepted 5 Jun 2007; published 11 Jun 2007

(C) 2007 OSA 25 June 2007 / Vol. 15, No. 13 / OPTICS EXPRESS 7924

Fig. 1. Experimental setup: L, lens; M, mirror; DM, dichroic mirror; QPD, quadrant pho-todiode.

fundamental cellular processes are conserved from yeast tohuman cells. Moreover, they arenon-toxic, easily available and easy to grow. To examine theeffects of the actin cytoskele-ton depolymerization we have treated the cell with latrunculin A (LAT-A), a monomeric actinsequestering drug that depolymerizes the actin cytoskeleton in numerous cell type, includingyeast cell [22, 23]. The cells were grown to exponential phase, which was checked by measuringthe Optical Density (OD) of the cell culture (1.4 at 600nm). LAT-A was added from a 10mMdimethyl sulfoxide (DMSO) stock to a final concentration of 200µM, at a temperature of 25◦C.After the alignment of the QPD, a single yeast cell, i.e. which does not have a bud, is trappedand the sum (z) and differential (x and y) signals from the QPDare monitored. This techniqueis extremely sensitive to the distance of the trap from the coverslip, which was always set to15µm for the reproducibility of the experiment. By studying Brownian motion of granulesinside them we distinguished healthy cells (in DMSO) from cells treated with LAT-A.

3. Results and discussion

Single yeast cells can be trapped by using moderate laser power (P≃ 1.5mW on the sample).At this power level, the heating and photodamage can be considered negligible. Indeed, for anaqueous sample irradiated by a focused laser beam (λ = 1064nm), the heating rate is about10◦C/W [24, 25] and yeast cells have been shown to progress in their cell-cycle under suchtrapping conditions [26].

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Fig. 2. (A), yeast cell under zero-dragging condition (v = 0): the trapped organelle is inthe cell center. (B), yeast cell under dragging condition (v = v1) the whole cell is trans-lated while the organelle remains fixed. (C),increasing the dragging force (v2 > v1) trappedorganelle is almost in contact with the cell membrane.

-0.3 -0.2 -0.1 0.0 0.1 0.2 0.3

0.0

0.2

0.4

0.6

0.8

U(x

) (ar

b. u

n.)

X position (V)

Kx2=(1,91±0,04) x 10-13 pN m/V2

Fig. 3. The optical potential well U(x) for a healthy yeast cell. The solid linerepresent thebest fit performed with a parabolic function.

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Living cells present a complex mixture of chemical constituents having different opticalproperties. We monitored the motion of small endogenous particles present inside the cyto-plasm of a yeast cell like lipid granules [7] and/or vacuoles. Vacuoles contain a mixture of saltywater, proteins and lipids and their size ranges between 1 and 2 microns. These organelles havethe highest refractive index comparing with other cell organelles, almost spherical, and filledwith lipids [27]. Previously this was shown by a staining with the lipophilic marker FM4- 64[28], and it was demonstrated that it is the vacuole or some endosomal compartment. Also astaining with DAPI showed nuclear staining and mitochondria [29]. In light microscope, theseorganelles appear as spheres (see Fig. 2) that move randomlynear their equilibrium positions.Sacconi et al.[30] have demonstrated the possibility to trap them to exert a pushing force on thenucleus. These endogenous particles can be also used as a probe embedded in the polymericnetwork of the cytoskeleton. The links between the mitocondria, the vacuole and the nucleuswith the actin cytoskeleton was proved before in, for example, [31, 32].

In our experiment, by tracking Brownian motion of the cellular organelles, we monitor thestructural evolution of the cytoskeleton. It is important to underly that the beam waist at thefocal plane is of the order of the wavelength in the medium (λ ≃ 0.6µm in our case) and ismuch less than the cell size. In these conditions, while a single organelle is trapped, all theother cellular components continue to move freely. To illustrate this, we applied a drag force tothe trapped cell. That was achieved by translating the stagewith the sample at a given velocity.The frame A of Fig.2 corresponds to zero-dragging condition(v = 0): it can be seen that thegranules are confined in the optical trap. When the drag was on (v = v1), the whole cell exceptthe trapped granules was translated (see frame B). Increasing the dragging (v= v2 > v1), the celldisplaced even more so that the trapped granules are almost in contact with the cell membrane(see frame C).

The fact that the granules are the trapped part of the cell represents a big advantage becausethat allows to study the mechanical response of the cytoskeleton. That was done by tracking theBrownian motion of the trapped granules by means of the forward scattering light and a positiondetector. The position of the trapped granule was measured in terms of the signal provided bythe QPD (Vx, expressed in Volts) and for small displacement from the laser focus the opticalpotential wellU(Vx) formed by the optical beam along the axis x perpendicular to the laserpropagation axis can be written as:

U(Vx) =12

kxβ 2V2x (1)

wherekx is the trap stiffnessβ = x/Vx is the voltage-to-displacement conversion coefficient.In Fig. 3 we show a typical potential well obtained by trapping a healthy yeast cell. As it canbe seen, although we deal with a non-spherical particle, forsmall displacements the potentialshape approximates quite well a parabola. The shape of the potential along the axisy looks quitesimilar. In some cases, we found a strong deviation of the potential well from the parabolicbehavior; this occurs, in particular, when more than one particle was trapped. In these cases,the measurement was rejected. From the fit of the experimental data we could estimate the termkxβ 2 in Eq. 1. As it will better clarified later, for the purpose of our experiment it is sufficientto express the stiffness not in absolute units but in terms ofQPD calibration factorβ . We haverepeated the same procedure trapping different healthy yeast cells (N ≃ 30) and calculated theaverage of the valueskxβ 2:

< kxβ 2 >= (2.9±0.8) ·10−13pN ·m/V2 (2)

Afterwards we studied cells treated with LAT-A.For these cells, we tracked the Brownian motion at differentincubation time. Data were

collected between 15min and 2h after the application of the LAT-A, when the effect of this

#81556 - $15.00 USD Received 28 Mar 2007; revised 11 May 2007; accepted 5 Jun 2007; published 11 Jun 2007

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-0.3 -0.2 -0.1 0.0 0.1 0.2 0.3

0.0

0.5

1.0

1.5

2.0

U(x

) (ar

b. u

n.)

X position (V)

(a)

(b)

Fig. 4. The optical potential well for a LAT-A treated cell after a incubationtime of 15 min(a) and 2 h (b).

drug reached its saturation. In Fig. 4 we report the optical potential at the beginning and at theend of this process. From a parabolic fit we foundkxβ 2 = (2.5±0.2) ·10−13pN ·m/V2 at thebeginning of the LAT-A application. This value is consistent with the average value obtainedfrom the statistic analysis of healthy cells shown above. The final effect of LAT-A is quiteevident if we look at the potential well 2h after the application of the drug (see Fig.4).

The time evolution ofkxβ 2 during the LAT-A action is shown in Fig.5. In particular, after2h from the application of LAT-Akxβ 2 = (19.2± 0.4) · 10−13pN ·m/V2, i.e. a value ratherdifferent from that of healthy yeast cells. Therefore, if weassume that the calibration factorβ is independent on the status of the cell (i. e. LAT-A does not affect the granules), we canconclude that the trap stiffness increases for the yeast cells treated by LAT-A.

In order to obtain more specific information concerning the medium inside the cell we subse-quently analyzed the stochastic signal derived from the granules Brownian motion. Accordingto the solution of the Langevin equation for each cartesian coordinate the theoretical PowerSpectral Density (PSD) of the Brownian motion for a trapped particle is given by the function[12, 13]:

P( f ) =kBTπ2γ

1( f 2

c + f 2)(3)

whereT is the absolute temperature of the sample,kB the Boltzmann constant andf the fre-quency. The frequencyfc is the corner frequency which is related to the trap stiffness by therelation:

fc =ki

2πγ(4)

whereki is the trap stiffness constant along theith direction,γ = 6πηa is the hydrodynamiccoefficient,η the fluid viscosity anda the radius of optically trapped particle. To test our ap-paratus we trapped first a spherical dielectric particle in water. In Fig. 6 trace (a), we show thePSD of a 4.5µmdiameter polystyrene bead in water; the experimental data fit with a Lorentzianprofile.

#81556 - $15.00 USD Received 28 Mar 2007; revised 11 May 2007; accepted 5 Jun 2007; published 11 Jun 2007

(C) 2007 OSA 25 June 2007 / Vol. 15, No. 13 / OPTICS EXPRESS 7928

Our analysis of the PSD obtained from the yeast cells startedfrom healthy cells. Measure-ments were performed keeping the trapped cell under observation for about two hours. In Fig.6trace (b), we show a typical PSD signal for a healthy yeast cell. As it is possible to see, althoughthe Langevin equation which governs the Brownian motion of aover-damped rigid sphere ina harmonic potential well does not strictly apply to the granules, the experimental data fit suf-ficiently well with the function of Eq. 3. From the fitting of the experimental PSD we couldestimate the corner frequency. In Fig. 7, trace (a) we reportthe corner frequency value for asingle healthy cell as function of observation time. Thef x

c and f yc values resulted consistent and

uniformly distributed around their mean value. The error onthe single determination was esti-mated from the fitting procedure. It is important to point outthat no detectable transformationwas induced by the presence of the trap, in accordance with reference [26]. The average valuefor fc calculated onN = 30 repeated measurements is reported in Tab.1.

Finally, we have applied this method to determine the effectof LAT-A on actin cytoskeletonin yeast cells. Again we started our observation after 15 minfrom the LAT-A application whilethe duration was of about 2 hours. A comparison of thefc at different incubation time of LAT-Atreated cells is shown in Fig. 7, trace (b): the frequency corner increases with time and reaches aplateau value (fc ≃ 3.5Hz) after two hours. For completeness the measuredfc at the beginning(t = 15min) and after 2h from the LAT-A application are reported in Tab.1.

Table 1. A comparison of the trap stiffness, corner frequency and their ratio R for differentconditions of yeast cell.

Cell type kxβ 2(x10−13) f xc R(x10−13)

(pN ·m/V2) (Hz) (pN ·m/V2Hz)Healthy yeast cell 2.9± 0.8 2.1± 0.5 1.38± 0.5LAT-A treated cell

(t=15 min) 2.5± 0.2 2.2± 0.2 1.14± 0.2LAT-A treated cell

(t=2 h) 19.2± 0.4 3.4± 0.3 5.65± 0.12

Cytoskeleton depolymerization, induced by LAT-A, leads toa change of both the trap stiff-ness (kxβ 2 ) and corner frequency (fc). The former change can be ascribed to a variation ofthe refractive index of the depolymerized actin network. Indeed, the trap stiffness depends onthe ratio between the refractive index of the trapped objectand the surrounding medium. Lessdirect is the interpretation of the latter change. The corner frequencyf x

c = kx/(2πγ) dependsboth on the stiffness and on the viscosity. Therefore, it seems convenient to calculate their ratioR:

R=kxβ 2

f xc

∝ η . (5)

In this way, we can obtain direct information about the viscosity. These data are plotted in Fig.8 as function of the LAT-A action time, while the values at beginning and at the end of thisprocess are listed in Tab. 1. As it can be seen in Fig. 8, it seems that the depolymerization of theActin-cytoskeleton network increases the viscous character of the intracellular environment.

It is important to emphasize that the goal of this investigation is not to study cellular vis-coelasticity. This kind of measurements would require the determination of the complex shearmodulusG∗( f ), which is the physical quantity commonly employed to quantify the viscoelas-ticity of a medium [33]. This approach requires a more sophisticated data analysis which isbeyond the purpose of this work. On the contrary, our approach provides a fast and reliablemethod to sort cells in different physiological states, otherwise undistinguishable by using anoptical microscope.

#81556 - $15.00 USD Received 28 Mar 2007; revised 11 May 2007; accepted 5 Jun 2007; published 11 Jun 2007

(C) 2007 OSA 25 June 2007 / Vol. 15, No. 13 / OPTICS EXPRESS 7929

0.0 0.5 1.0 1.5 2.0 2.50

5

10

15

20

k x2 (

pN m

/V2 )

Time (h)

x10-13

Fig. 5. Behavior ofkxβ 2 for a LAT-A treated cell versus the observation time.

100

101

10−8

10−6

10−4

10−2

Frequency (Hz)

Pow

er S

pect

ral D

ensi

ty (

V2 /H

z)

(a)

(b)

Fig. 6. Experimental PSD from the x signal for a trapped polystyrene bead (trace a) and fora trapped normal yeast cell (trace b). The Lorentzian fitting curves are also shown.

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0.0 0.5 1.0 1.5 2.0 2.5

2.0

2.5

3.0

3.5

4.0

(a)f cx (H

z)

Time (h)

(b)

Fig. 7. Measured frequency corner for a living cell (a) and a LAT-Atreated cell (b) during2 hours. In the second case, the corner frequency increases with time.

0.0 0.5 1.0 1.5 2.0 2.50

2

4

6

8

10

12

(arb

. un.

)

Time (h)

x10-20

Fig. 8. Behavior ofη for a LAT-A treated cell under 2 h.

#81556 - $15.00 USD Received 28 Mar 2007; revised 11 May 2007; accepted 5 Jun 2007; published 11 Jun 2007

(C) 2007 OSA 25 June 2007 / Vol. 15, No. 13 / OPTICS EXPRESS 7931

4. Conclusion

The results shown demonstrate the possibility of monitoring the cytoskeleton structuraltransformations in optically trapped cells by tracking theforward scattered light via a quadrantphotodiode. The analysis of its PSD allows us to distinguishhealthy yeast cells from the oneswhose cytoskeleton is depolymerized and it also permits us to track the depolymerizationprocess in real-time. In particular, the F-actin cytoskeleton depolymerization, induced bytreatment with LAT-A, results in a progressive increased corner frequency by a factor of 1.7.Since F-actin plays an important role in cellular mechanics, these changes alter the Brownianmotion of the cellular organelles; therefore, this can be seen as an inherent cell marker thatoffers an alternative to traditional techniques and opens the door to a new and cheap tool forcell characterization.

Acknowledgments

A. C. De Luca acknowledges the financial support of the Italian National Research Council(CNR, International Short-term Mobility Program). This research was carried out in the frame-work of ESF/PESC (Eurocores on Sons), through grant 02-PE-SONS-063-NOMSAN, and withthe financial support of the Spanish Ministry of Science and Technology (FIS2005- 02129). Itwas also supported by the Departament d’Universitats, Recerca i Societat de la Informacio andthe European Social Fund. Finally, the authors thanks Isabel Maria Fern ´andez-Golbano forproviding the yeast cell.

#81556 - $15.00 USD Received 28 Mar 2007; revised 11 May 2007; accepted 5 Jun 2007; published 11 Jun 2007

(C) 2007 OSA 25 June 2007 / Vol. 15, No. 13 / OPTICS EXPRESS 7932