Abstract
Optical tweezers [1] use a highly focused laser beam to form a stable trap to confine one or more micron- or nano-sized particles in three-dimensional space, enabling noninvasive manipulation, without any mechanical contact, of microscopic probe particles embedded in a sample. Since its first demonstration in 1986 by Ashkin et al. [2], single-beam optical tweezers have been used to manipulate microscopic objects such as colloidal particles [3], biomolecules [4, 5], and biological cells [6–9]. In addition, optical tweezers have also been used as pico-Newton force transducers to measure the strength of molecular bonds [10] and to determine the transmission of forces in the microscopic environment of complex fluids [11–14]. Combining the ability to manipulate microparticles with force measurement, optical tweezers have been used to study the micromechanical properties of soft materials [15, 16], such as colloidal crystals [17–20], liquid crystals [21–23], carbon nanotube suspensions [24], actin-coated lipid vesicles [25–27], living cells [28–33], cytoskeletal networks [34–37], DNA networks [38, 39], polymer solutions [40–42], collagen gels [43, 44], human erythrocyte membranes [45–49], and even individual strands of DNA molecules [5, 50].
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References
Ashkin A (1970) Acceleration and trapping of particles by radiation pressure. Phys Rev Lett 24(4):156–159
Ashkin A, Dziedzic J, Bjorkholm J, Chu S (1986) Observation of a single-beam gradient force optical trap for dielectric particles. Opt Lett 11(5):288–290
Ashkin A (1997) Optical trapping and manipulation of neutral particles using lasers. Proc Natl Acad Sci U S A 94:4853–4860
Svoboda K, Schmidt CF, Schnapp BJ, Block SM (1993) Direct observation of Kinesin stepping by optical trapping interferometry. Nature 365:721–727
Lien C-H, Wei M-T, Tseng T-Y, Lee C-D, Wang C, Wang T-F, Ou-Yang HD, Chiou A (2009) Probing the dynamic differential stiffness of dsDNA interacting with RecA in the enthalpic regime. Opt Express 17(22):20376–20385
Ashkin A, Dziedzic JM (1987) Optical trapping and manipulation of single cell using infrared laser beams. Nature 330:769–771
Svoboda K, Schmidt CF, Branton D, Block SM (1992) Conformation and elasticity of the isolated red blood cell membrane skeleton. Biophys J 63:784–793
Liu S-L, Karmenyan A, Wei M-T, Huang C-C, Lin C-H, Chiou A (2007) Optical forced oscillation for the study of lectin-glycoprotein interaction at the cellular membrane of a Chinese hamster ovary cell. Opt Express 15(5):2713–2723
Wei M-T, Hua K-F, Hsu J, Karmenyan A, Tseng K-Y, Wong C-H, Hsu H-Y, Chiou A (2007) The interaction of lipopolysaccharide with membrane receptors on macrophages pretreated with extract of Reishi polysaccharides measured by optical tweezers. Opt Express 15(17):11020–11032
Stout AL (2001) Detection and characterization of individual intermolecular bonds using optical tweezers. Biophys J 80:2976–2986
Meiners J-C, Quake SR (1999) Direct measurement of hydrodynamic cross correlations between two particles in an external potential. Phys Rev Lett 82(10):2211–2214
Hough LA, Ou-Yang HD (2002) Correlated motions of two hydrodynamically coupled particles confined in separate quadratic potential wells. Phys Rev E 65:021906 (021907 pages)
Henderson S, Mitchell S, Bartlett P (2002) Propagation of hydrodynamic interactions in colloidal suspensions. Phys Rev Lett 88:088302 (088304 pages)
Ou-Yang HD, Wei M-T (2010) Complex fluids: probing mechanical properties of biological systems with optical tweezers. Annu Rev Phys Chem 61:421–440
Yao A, Tassieri M, Padgett M, Cooper J (2009) Microrheology with optical tweezers. Lab Chip 9:2568–2575
Preece D, Warren R, Evans RML, Gibson GM, Padgett MJ, Cooper JM, Tassieri M (2011) Optical tweezers: wideband microrheology. J Opt 13:044022 (044026 pages)
Pertsinidis A, Ling XS (2001) Equilibrium configurations and energetics of point defects in two-dimensional colloidal crystals. Phys Rev Lett 87(9):098303 (098304 pages)
Crocker JC, Grier DG (1994) Microscopic measurement of the pair interaction potential of charge-stabilized colloid. Phys Rev Lett 73(2):352–355
En A-R, Díaz-Leyva P, Arauz-Lara JL (2005) Microrheology from rotational diffusion of colloidal particles. Phys Rev Lett 94:106001 (106004 pages)
Wilson LG, Harrison AW, Poon WCK, Puertas AM (2011) Microrheology and the fluctuation theorem in dense colloids. EPL 93:58007
Murazawa N, Juodkazis S, Tanamura Y, Misawa H (2006) Rheology measurement at liquid-crystal water interface using laser tweezers. Jpn J Appl Phys 45(2A):977–982
Koenig GM Jr, Ong R, Cortes AD, Antonio Moreno-Razo J, Pablo JJ, Abbott NL (2009) Single nanoparticle tracking reveals influence of chemical functionality of nanoparticles on local ordering of liquid crystals and nanoparticle diffusion coefficients. Nano Lett 9(7):2794–2801
Mizuno D, Kimura Y, Hayakawa R (2004) Electrophoretic microrheology of a dilute lamellar phase: relaxation mechanisms in frequency-dependent mobility of nanometer-sized particles between soft membranes. Phys Rev E 70:011509
Hough LA, Islam MF, Janmey PA, Yodh AG (2004) Viscoelasticity of single wall carbon nanotube suspensions. Phys Rev Lett 93(16):168102 (168104 pages)
Helfer E, Harlepp S, Bourdieu L, Robert J, MacKintosh FC, Chatenay D (2001) Viscoelastic properties of actin-coated membranes. Phys Rev E 63:021904 (021913 pages)
Helfer E, Harlepp S, Bourdieu L, Robert J, MacKintosh FC, Chatenay D (2000) Microrheology of biopolymer-membrane complexes. Phys Rev Lett 85:457–460
Helfer E, Harlepp S, Bourdieu L, Robert J, MacKintosh FC, Chatenay D (2001) Buckling of actin-coated membranes under application of a local force. Phys Rev Lett 87(8):088103 (088104 pages)
Yanai M, Butler JP, Suzuki T, Kanda A, Kurachi M, Tashiro H, Sasaki H (1999) Intracellular elasticity and viscosity in the body, leading, and trailing regions of locomoting neutrophils. Am J Physiol Cell Physiol 277:C432–C440
Wei M-T, Zaorski A, Yalcin HC, Wang J, Hallow M, Ghadiali SN, Chiou A, Ou-Yang HD (2008) A comparative study of living cell micromechanical properties by oscillatory optical tweezer. Opt Express 16(12):8594–8603
Yalcin HC, Hallow KM, Wang J, Wei M-T, Ou-Yang HD, Ghadiali SN (2009) Influence of cytoskeletal structure and mechanics on epithelial cell injury during cyclic airway reopening. Am J Physiol Lung Cell Mol Physiol 297:L881–L891
Balland M, Desprat N, Icard D, Féréol S, Asnacios A, Browaeys J, Hénon S, Gallet F (2006) Power laws in microrheology experiments on living cells: comparative analysis and modeling. Phys Rev E 74:021911–021917
Gallet F, Arcizet D, Bohec P, Richert A (2009) Power spectrum of out-of-equilibrium forces in living cells: amplitude and frequency dependence. Soft Matter 5:2947–2953
Wilhelm C (2008) Out-of-equilibrium microrheology inside living cells. Phys Rev Lett 101:028101 (028104 pages)
Mizuno D, Tardin C, Schmidt CF, MacKintosh FC (2007) Nonequilibrium mechanics of active cytoskeletal networks. Science 315:370–373
Mizuno D, Head DA, MacKintosh FC, Schmidt CF (2008) Active and passive microrheology in equilibrium and nonequilibrium systems. Macromolecules 41(19):7194–7202
Mofrad MRK (2009) Rheology of the cytoskeleton. Annu Rev Fluid Mech 41:433–453
Pelletier V, Gal N, Fournier P, Kilfoil ML (2009) Microrheology of microtubule solutions and actin-microtubule composite networks. Phys Rev Lett 102:188303 (188304 pages)
Zhu X, Kundukad B, van der Maarel JRC (2008) Viscoelasticity of entangled l-phage DNA solutions. J Chem Phys 129:185103 (185106 pages)
Mason TG, Ganesan K, Zanten JH, Wirtz D, Kuo SC (1997) Particle tracking microrheology of complex fluids. Phys Rev Lett 79:3282–3285
Hough LA, Ou-Yang HD (2006) Viscoelasticity of aqueous telechelic poly(ethylene oxide) solutions: relaxation and structure. Phys Rev E 73:031802 (031808 pages)
Chiang C-C, Wei M-T, Chen Y-Q, Yen P-W, Huang Y-C, Chen J-Y, Lavastre O, Guillaume H, Guillaume D, Chiou A (2011) Optical tweezers based active microrheology of sodium polystyrene sulfonate (NaPSS). Opt Express 19(9):8847–8854
Lee H, Shin Y, Kim ST, Reinherz EL, Lang MJ (2012) Stochastic optical active rheology. Appl Phys Lett 101:031902
Latinovic O, Hough LA, Ou-Yang HD (2010) Structural and micromechanical characterization of type I collagen gels. J Biomech 43:500–506
Shayegan M, Forde NR (2013) Microrheological characterization of collagen systems: from molecular solutions to fibrillar gels. PLoS One 8(8):e70590
Hénon S, Lenormand G, Richert A, Gallet F (1999) A new determination of the shear modulus of the human erythrocyte membrane using optical tweezers. Biophys J 76:1145–1151
Rancourt-Grenier S, Wei M-T, Bai J-J, Chiou A, Bareil PP, Duval P-L, Sheng Y (2010) Dynamic deformation of red blood cell in dual-trap optical tweezers. Opt Express 18(10):10462–10472
Lim CT, Dao M, Suresh S, Sow CH, Chew KT (2004) Large deformation of living cells using laser traps. Acta Mater 52:1837–1845
Daoa M, Limb CT, Suresha S (2003) Mechanics of the human red blood cell deformed by optical tweezers. J Mech Phys Solid 51:2259–2280
Lyubin EV, Khokhlova MD, Skryabina MN, Fedyanin AA (2012) Cellular viscoelasticity probed by active rheology in optical tweezers. J Biomed Opt 17(10):101510
Meiners J-C, Quake SR (2000) Femtonewton force spectroscopy of single extended DNA molecules. Phys Rev Lett 84(21):5014–5017
Hough LA, Ou-Yang HD (1999) A new probe for mechanical testing of nanostructures in soft materials. J Nanopart Res 1:495–499
Wei M-T (2014) Microrheology of soft matter and living cells in equilibrium and non-equilibrium systems. Ph.D., Bioengineering, Lehigh University, Bethlehem
Crocker JC, Valentine MT, Weeks ER, Gisler T, Kaplan PD, Yodh AG, Weitz DA (2000) Two-point microrheology of inhomogeneous soft materials. Phys Rev Lett 85(4):888–891
Levine AJ, Lubensky TC (2000) One- and two-particle microrheology. Phys Rev Lett 85:1774–1777
Hoffman BD, Crocker JC (2009) Cell mechanics: dissecting the physical responses of cells to force. Annu Rev Biomed Eng 11:259–288
Hoffman BD, Massiera G, Citters KMV, Crocker JC (2006) The consensus mechanics of cultured mammalian cells. Proc Natl Acad Sci U S A 103(27):10259–10264
Valentine MT, Dewalt LE, Ou-Yang HD (1996) Forces on a colloidal particle in a polymer solution: a study using optical tweezers. J Phys Condens Matter 8:9477–9482
Ou-Yang HD (1999) Design and applications of oscillating optical tweezers for direct measurements of colloidal forces. In: Farinato RS, Dubin PL (Eds.), Colloid–polymer interactions: from fundamentals to practice. Wiley, New York
Wright WH, Sonek GJ, Berms MW (1993) Radiation trapping forces on microspheres with optical tweezers. Appl Phys Lett 63(9):715–717
Ghislain LP, Switz NA, Webb WW (1994) Measurement of small forces using an optical trap. Rev Sci Instrum 65(9):2762–2768
Ashkin A (1992) Forces of a single-beam gradient laser trap on a dielectric sphere in the ray optics regime. Biophys J 61:569–582
Mazolli A, Neto PAM, Nussenzveig HM (2003) Theory of trapping forces in optical tweezers. Proc R Soc Lond A 459:3021–3041
Richardson AC, Reihani SNS, Oddershede LB (2008) Non-harmonic potential of a single beam optical trap. Opt Express 16(20):15709–15717
Merenda F, Boer G, Rohner J, Delacrétaz GD, Salathé R-P (2006) Escape trajectories of single-beam optically trapped micro-particles in a transverse fluid flow. Opt Express 14(4):1685–1699
Greenleaf WJ, Woodside MT, Abbondanzieri EA, Block SM (2005) Passive all-optical force clamp for high-resolution laser trapping. Phys Rev Lett 95:208102 (208104 pages)
Neves AAR, Fontes A, Pozzo LY, Thomaz AA, Chillce E, Rodriguez E, Barbosa LC, Cesar CL (2006) Electromagnetic forces for an arbitrary optical trapping of a spherical dielectric. Opt Express 14(26):13101–13106
Jahnel M, Behrndt M, Jannasch A, Schäffer E, Grill SW (2011) Measuring the complete force field of an optical trap. Opt Lett 36(7):1260–1262
Ling L, Zhou F, Huang L, Guo H, Li Z, Li Z-Y (2011) Perturbation between two traps in dual-trap optical tweezers. J Appl Phys 109:083116
Huang C-C, Wang C-F, Mehta DS, Chiou A (2001) Optical tweezers as sub-pico-newton force transducers. Opt Commun 195:41–48
Rohrbach A, Kress H, Stelzer EHK (2003) Three-dimensional tracking of small spheres in focused laser beams influence of the detection angular aperture. Opt Lett 28(6):411–413
Rohrbach A, Tischer C, Neumayer D, Florin E-L, Stelzer EHK (2004) Trapping and tracking a local probe with a photonic force microscope. Rev Sci Instrum 75(6):2197–2210
Rohrbach A (2005) Stiffness of optical traps: quantitative agreement between experiment and electromagnetic theory. Phys Rev Lett 95(16):168102
Wei M-T, Yang K-T, Karmenyan A, Chiou A (2006) Three-dimensional optical force field on a Chinese hamster ovary cell in a fiber-optical dual-beam trap. Opt Express 14(7):3056–3064
Wei M-T, Chiou A (2005) Three-dimensional tracking of Brownian motion of a particle trapped in optical tweezers with a pair of orthogonal tracking beams and the determination of the associated optical force constants. Opt Express 13(15):5798–5806
Ghislain LP, Webb WW (1993) Scanning-force microscope based on an optical trap. Opt Lett 18(19):1678–1680
Wei M-T, Ng J, Chan CT, Chiou A, Ou-Yang HD (2012) Transverse force profiles of individual dielectric particles in an optical trap. In: SPIE optics photonics, San Diego
Latinovic O (2010) Micromechanics and structure of soft and biological materials: an optical tweezers study. Verlag Dr. Muller Publishing, Saarbrucken
Wright WH, Sonek GJ, Berns MW (1999) Parametric study of the forces on microspheres held by optical tweezers. Appl Optics 33(9):1735–1748
Barton JP, Alexander DR, Schaub SA (1989) Theoretical determination of net radiation force and torque for a spherical particle illuminated by a focused laser beam. J Appl Phys 66:4594–4602
Zemánek P, Jonáš A, Šrámek L, Liška M (1998) Optical trapping of Rayleigh particles using a Gaussian standing wave. Opt Commun 151:273–285
Ganic D, Gan X, Gu M (2004) Exact radiation trapping force calculation based on vectorial diffraction theory. Opt Express 12(12):2670–2675
Viana NB, Mazolli A, Neto PAM, Nussenzveig HM (2006) Absolute calibration of optical tweezers. Appl Phys Lett 88:131110
Ferry JD (1970) Viscoelastic properties of polymers. Wiley, New York
Brau RR, Ferrer JM, Lee H, Castro CE, Tam BK, Tarsa PB, Matsudaira P, Boyce MC, Kamm R, Lang MJ (2007) Passive and active microrheology with optical tweezers. J Opt A: Pure Appl Opt 9:S103–S112
Dasgupta BR, Tee S-Y, Crocker JC, Frisken BJ, Weitz DA (2002) Microrheology of polyethylene oxide using diffusing wave spectroscopy and single scattering. Phys Rev E 65:051505 (051510 Pages)
Huang Y, Santore MM (2002) Dynamics in adsorbed layers of associative polymers in the limit of strong backbone-surface attractions. Langmuir 18(6):2158–2165
Gittes F, MacKintosh FC (1998) Dynamic shear modulus of a semiflexible polymer network. Phys Rev E 58(2):R1241–R1244
Schnurr B, Gittes F, MacKintosh FC, Schmidt CF (1997) Determining microscopic viscoelasticity in flexible and semiflexible polymer networks from thermal fluctuations. Macromolecules 30(25):7781–7792
Mason TG, Weitz DA (1995) Optical measurements of frequency-dependent linear viscoelastic moduli of complex fluids. Phys Rev Lett 74(7):1250–1253
Green MS, Tobolsky AV (1946) A new approach to the theory of relaxing polymeric media. J Chem Phys 14(80):1724109
Annable T, Buscall R, Ettelaie R, Whittlestone D (1993) The rheology of solutions of associating polymers: comparison of experimental behavior with transient network theory. J Rheol 37:695–727
Pham QT, Russel WB, Thibeault JC, Lau W (1999) Polymeric and colloidal modes of relaxation in latex dispersions containing associative triblock copolymers. J Rheol 43:1599–1616
Mizuno D, Bacabac R, Tardin C, Head D, Schmidt CF (2009) High-resolution probing of cellular force transmission. Phys Rev Lett 102:168102 (168104 pages)
Hale CM, Sun SX, Wirtz D (2009) Resolving the role of actoymyosin contractility in cell microrheology. PLoS One 4(9):e7054 (7011 pages)
Robert D, Nguyen T-H, Fo G, Wilhelm C (2010) In vivo determination of fluctuating forces during endosome trafficking using a combination of active and passive microrheology. PLoS One 5(4):e10046
Kollmannsberger P, Fabry B (2011) Linear and nonlinear rheology of living cells. Annu Rev Mater Res 41:75–97
Aratyn-Schaus Y, Oakes PW, Gardel ML (2011) Dynamic and structural signatures of lamellar actomyosin force generation. Mol Biol Cell 22:1330–1339
Wang N, Butler JP, Ingber DE (1993) Mechanotransduction across the cell surface and through the cytoskeleton. Science 260:1124–1127
Wang Y, Botvinick EL, Zhao Y, Berns MW, Usami S, Tsien RY, Chien S (2005) Visualizing the mechanical activation of Src. Nature 434:1040–1045
Engler AJ, Sen S, Sweeney HL, Discher DE (2006) Matrix elasticity directs stem cell lineage specification. Cell 126(4):677–689. doi:10.1016/j.cell.2006.06.044
Wang N, Tolić-Nørrelykke IM, Chen J, Mijailovich SM, Butler JP, Fredberg JJ, Stamenović D (2002) Cell prestress. I. Stiffness and prestress are closely associated in adherent contractile cells. Am J Physiol Cell Physiol 282:C606–C616
Byfield FJ, Wen Q, Levental I, Nordstrom K, Arratia PE, Miller RT, Janmey PA (2009) Absence of filamin a prevents cells from responding to stiffness gradients on gels coated with collagen but not fibronectin. Biophys J 96:5095–5102
Trichet L, Digabel JL, Hawkins RJ, Vedula SRK, Gupta M, Ribrault C, Hersen P, Voituriez R, Ladoux B (2012) Evidence of a large-scale mechanosensing mechanism for cellular adaptation to substrate stiffness. Proc Natl Acad Sci U S A 109(18):6933–6938
Han SJ, Bielawski KS, Ting LH, Rodriguez ML, Sniadecki NJ (2012) Decoupling substrate stiffness, spread area, and micropost density: a close spatial relationship between traction forces and focal adhesions. Biophys J 103(4):640–648
Tee S-Y, Fu J, Chen CS, Janmey PA (2011) Cell shape and substrate rigidity both regulate cell stiffness. Biophys J 100(5):L25–L27
Bishop AI, Nieminen TA, Heckenberg NR, Rubinsztein-Dunlop H (2004) Optical microrheology using rotating laser-trapped particles. Phys Rev Lett 92(19):198104 (198104 pages)
Fabry B, Maksym GN, Butler JP, Glogauer M, Navajas D, Fredberg JJ (2001) Scaling the microrheology of living cells. Phys Rev Lett 87(14):148102 (148104 pages)
Koenderink GH, Dogic Z, Nakamura F, Bendix PM, MacKintosh FC, Hartwig JH, Stossel TP, Weitz DA (2009) An active biopolymer network controlled by molecular motors. Proc Natl Acad Sci U S A 106(36):15192–15197
Silva MS, Depken M, Stuhrmann B, Korsten M, MacKintosh FC, Koenderink GH (2011) Active multistage coarsening of actin networks driven by myosin motors. Proc Natl Acad Sci U S A 108(23):9408–9413
John K, Caillerie D, Peyla P, Raoult A, Misbah C (2013) Nonlinear elasticity of cross-linked networks. Phys Rev E 87:042721
Reymann A-C, Boujemaa-Paterski R, Martiel J-L, Guérin C, Cao W, Chin HF, Cruz EMDL, Théry M, Blanchoin L (2012) Actin network architecture can determine myosin motor activity. Science 336(6086):1310–1314
Stuhrmann B, Silva MS, Depken M, MacKintosh FC, Koenderink GH (2012) Nonequilibrium fluctuations of a remodeling in vitro cytoskeleton. Phys Rev E 86:020901(R) (020905 pages)
Lau AWC, Hoffman BD, Davies A, Crocker JC, Lubensky TC (2003) Microrheology, stress fluctuations, and active behavior of living cells. Phys Rev Lett 91:198101 (198104 pages)
MacKintosh FC, Levine AJ (2008) Nonequilibrium mechanics and dynamics of motor-activated gels. Phys Rev Lett 100:018104
Brangwynne CP, Koenderink GH, MacKintosh FC, Weitz DA (2008) Nonequilibrium microtubule fluctuations in a model cytoskeleton. Phys Rev Lett 100:118104
Kollmannsberger P, Mierke CT, Fabry B (2011) Nonlinear viscoelasticity of adherent cells is controlled by cytoskeletal tension. Soft Matter 7:3127–3132
Fernández P, Pullarkat PA, Ott A (2006) A master relation defines the nonlinear viscoelasticity of single fibroblasts. Biophys J 90:3796–3805
Yao NY, Broedersz CP, Depken M, Becker DJ, Pollak MR, MacKintosh FC, Weitz DA (2013) Stress-enhanced gelation: a dynamic nonlinearity of elasticity. Phys Rev Lett 110:018103
Bruno L, Salierno M, Wetzler DE, Despósito MA, Levi V (2011) Mechanical properties of organelles driven by microtubule-dependent molecular motors in living cells. PLoS One 6(4):e18332
Wei M-T, Ou-Yang HD (2010) Thermal and non-thermal intracellular mechanical fluctuations of living cells. In: SPIE optics photonics, San Diego, p 77621L
Chien S (2007) Mechanotransduction and endothelial cell homeostasis: the wisdom of the cell. Am J Physiol Heart Circ Physiol 292:H1209–H1224
Chen CS (2008) Mechanotransduction – a field pulling together? J Cell Sci 121(20):3285–3291
Wang N, Tytell JD, Ingber DE (2009) Mechanotransduction at a distance: mechanically coupling the extracellular matrix with the nucleus. Nat Rev 10:75–82
Parker KK, Ingber DE (2007) Extracellular matrix, mechanotransduction and structural hierarchies in heart tissue engineering. Philos Trans R Soc B 2114:1–13
Alamo JC, Norwich GN, Li Y-sJ, Lasheras JC, Chien S (2008) Anisotropic rheology and directional mechanotransduction in vascular endothelial cells. Proc Natl Acad Sci U S A 105(40):15411–15416
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Wei, MT., Latinovic, O., Hough, L.A., Chen, YQ., Ou-Yang, H.D., Chiou, A. (2014). Optical-Tweezers-Based Microrheology of Soft Materials and Living Cells. In: Ho, AP., Kim, D., Somekh, M. (eds) Handbook of Photonics for Biomedical Engineering. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-6174-2_6-1
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