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Blázquez-Castro A, Fernández-Piqueras J, Santos J. Genetic Material Manipulation and Modification by Optical Trapping and Nanosurgery-A Perspective. Front Bioeng Biotechnol 2020; 8:580937. [PMID: 33072730 PMCID: PMC7530750 DOI: 10.3389/fbioe.2020.580937] [Citation(s) in RCA: 5] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/07/2020] [Accepted: 09/01/2020] [Indexed: 11/13/2022] Open
Abstract
Light can be employed as a tool to alter and manipulate matter in many ways. An example has been the implementation of optical trapping, the so called optical tweezers, in which light can hold and move small objects with 3D control. Of interest for the Life Sciences and Biotechnology is the fact that biological objects in the size range from tens of nanometers to hundreds of microns can be precisely manipulated through this technology. In particular, it has been shown possible to optically trap and move genetic material (DNA and chromatin) using optical tweezers. Also, these biological entities can be severed, rearranged and reconstructed by the combined use of laser scissors and optical tweezers. In this review, the background, current state and future possibilities of optical tweezers and laser scissors to manipulate, rearrange and alter genetic material (DNA, chromatin and chromosomes) will be presented. Sources of undesirable effects by the optical procedure and measures to avoid them will be discussed. In addition, first tentative approaches at cellular-level genetic and organelle surgery, in which genetic material or DNA-carrying organelles are extracted out or introduced into cells, will be presented.
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Affiliation(s)
- Alfonso Blázquez-Castro
- Department of Biology, Faculty of Sciences, Autonomous University of Madrid, Madrid, Spain.,Genome Dynamics and Function Program, Genome Decoding Unit, Severo Ochoa Molecular Biology Center (CBMSO), CSIC-Autonomous University of Madrid, Madrid, Spain
| | - José Fernández-Piqueras
- Department of Biology, Faculty of Sciences, Autonomous University of Madrid, Madrid, Spain.,Genome Dynamics and Function Program, Genome Decoding Unit, Severo Ochoa Molecular Biology Center (CBMSO), CSIC-Autonomous University of Madrid, Madrid, Spain.,Institute of Health Research Jiménez Diaz Foundation, Madrid, Spain.,Consortium for Biomedical Research in Rare Diseases (CIBERER), Carlos III Institute of Health, Madrid, Spain
| | - Javier Santos
- Department of Biology, Faculty of Sciences, Autonomous University of Madrid, Madrid, Spain.,Genome Dynamics and Function Program, Genome Decoding Unit, Severo Ochoa Molecular Biology Center (CBMSO), CSIC-Autonomous University of Madrid, Madrid, Spain.,Institute of Health Research Jiménez Diaz Foundation, Madrid, Spain.,Consortium for Biomedical Research in Rare Diseases (CIBERER), Carlos III Institute of Health, Madrid, Spain
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2
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Berns MW. Laser Scissors and Tweezers to Study Chromosomes: A Review. Front Bioeng Biotechnol 2020; 8:721. [PMID: 32850689 PMCID: PMC7401452 DOI: 10.3389/fbioe.2020.00721] [Citation(s) in RCA: 11] [Impact Index Per Article: 2.8] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/29/2020] [Accepted: 06/08/2020] [Indexed: 01/22/2023] Open
Abstract
Starting in 1969 laser scissors have been used to study and manipulate chromosomes in mitotic animal cells. Key studies demonstrated that using the “hot spot” in the center of a focused Gaussian laser beam it was possible to delete the ribosomal genes (secondary constriction), and this deficiency was maintained in clonal daughter cells. It wasn’t until 2020 that it was demonstrated that cells with focal-point damaged chromosomes could replicate due to the cell’s DNA damage repair molecular machinery. A series of studies leading up to this conclusion involved using cells expressing different GFP DNA damage recognition and repair molecules. With the advent of optical tweezers in 1987, laser tweezers have been used to study the behavior and forces on chromosomes in mitotic and meiotic cells. The combination of laser scissors and tweezers were employed since 1991 to study various aspects of chromosome behavior during cell division. These studies involved holding chromosomes in an optical while gradually reducing the laser power until the chromosome recovered their movement toward the cell pole. It was determined in collaborative studies with Prof. Arthur Forer from York University, Toronto, Canada, cells from diverse group vertebrate and invertebrates, that forces necessary to move chromosomes to cell poles during cell division were between 2 and 17pN, orders of magnitude below the 700 pN generally found in the literature.
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Affiliation(s)
- Michael W Berns
- Beckman Laser Institute and Medical Clinic, University of California, Irvine, Irvine, CA, United States.,Department of Biomedical Engineering, University of California, Irvine, Irvine, CA, United States.,Department of Developmental and Cell Biology, School of Biological Sciences, University of California, Irvine, Irvine, CA, United States.,Department of Surgery, School of Medicine, University of California, Irvine, Irvine, CA, United States.,Institute of Engineering in Medicine, University of California, San Diego, San Diego, CA, United States.,Department of Bioengineering, University of California, San Diego, San Diego, CA, United States
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3
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Ha S, Tang Y, van Oene MM, Janissen R, Dries RM, Solano B, Adam AJL, Dekker NH. Single-Crystal Rutile TiO 2 Nanocylinders are Highly Effective Transducers of Optical Force and Torque. ACS PHOTONICS 2019; 6:1255-1265. [PMID: 31119185 PMCID: PMC6524961 DOI: 10.1021/acsphotonics.9b00220] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Received: 02/06/2019] [Indexed: 05/05/2023]
Abstract
Optical trapping of (sub)micron-sized particles is broadly employed in nanoscience and engineering. The materials commonly employed for these particles, however, have physical properties that limit the transfer of linear or angular momentum (or both). This reduces the magnitude of forces and torques, and the spatiotemporal resolution, achievable in linear and angular traps. Here, we overcome these limitations through the use of single-crystal rutile TiO2, which has an exceptionally large optical birefringence, a high index of refraction, good chemical stability, and is amenable to geometric control at the nanoscale. We show that rutile TiO2 nanocylinders form powerful joint force and torque transducers in aqueous environments by using only moderate laser powers to apply nN·nm torques at kHz rotational frequencies to tightly trapped particles. In doing so, we demonstrate how rutile TiO2 nanocylinders outperform other materials and offer unprecedented opportunities to expand the control of optical force and torque at the nanoscale.
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Affiliation(s)
- Seungkyu Ha
- Department
of Bionanoscience, Kavli Institute of Nanoscience, Delft University of Technology, van der Maasweg 9, 2629 HZ Delft, The Netherlands
| | - Ying Tang
- Optics
Research Group, Department of Imaging Physics, Delft University of Technology, van der Waalsweg 8, 2628 CH Delft, The Netherlands
| | - Maarten M. van Oene
- Department
of Bionanoscience, Kavli Institute of Nanoscience, Delft University of Technology, van der Maasweg 9, 2629 HZ Delft, The Netherlands
| | - Richard Janissen
- Department
of Bionanoscience, Kavli Institute of Nanoscience, Delft University of Technology, van der Maasweg 9, 2629 HZ Delft, The Netherlands
| | - Roland M. Dries
- Department
of Bionanoscience, Kavli Institute of Nanoscience, Delft University of Technology, van der Maasweg 9, 2629 HZ Delft, The Netherlands
| | - Belen Solano
- Department
of Bionanoscience, Kavli Institute of Nanoscience, Delft University of Technology, van der Maasweg 9, 2629 HZ Delft, The Netherlands
| | - Aurèle J. L. Adam
- Optics
Research Group, Department of Imaging Physics, Delft University of Technology, van der Waalsweg 8, 2628 CH Delft, The Netherlands
- E-mail:
| | - Nynke H. Dekker
- Department
of Bionanoscience, Kavli Institute of Nanoscience, Delft University of Technology, van der Maasweg 9, 2629 HZ Delft, The Netherlands
- E-mail:
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4
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Müller D, Geiger D, Stark J, Kienle A. Angle-resolved light scattering of single human chromosomes: experiments and simulations. Phys Med Biol 2019; 64:045016. [PMID: 30630136 DOI: 10.1088/1361-6560/aafd6f] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/11/2022]
Abstract
Angle-resolved light scattering measurements of human metaphase chromosomes were compared to the results of numerical light scattering simulations with geometrical models based on atomic force microscopy (AFM) measurements of the same chromosomes. The simulations were conducted using the discrete dipole approximation method (DDA), which solves Maxwell's equations for induced dipoles, positioned in a discrete lattice. A remarkable agreement between the light scattering simulations and measurements of all 6 studied chromosomes was found. Additionally, the influence of small changes in the orientation of a complex scatterer geometry on its angle-resolved scattering pattern is shown. A method is presented to approximate such variations in the scatterer's orientation by a linear shift of the angular scattering pattern. This method provides an initial guess on the scatterers orientation, reducing the amount of simulations needed considerably. It was validated on simulations of a cuboid and successfully applied in the evaluation of the chromosome measurements.
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Affiliation(s)
- Dennis Müller
- Institute for Lasertechnologies in Medicine and Metrology (ILM), Helmholtzstr. 12, 89081 Ulm, Germany. Author to whom any correspondence should be addressed
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5
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Calibration of force detection for arbitrarily shaped particles in optical tweezers. Sci Rep 2018; 8:10798. [PMID: 30018378 PMCID: PMC6050307 DOI: 10.1038/s41598-018-28876-y] [Citation(s) in RCA: 10] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 08/21/2017] [Accepted: 06/28/2018] [Indexed: 11/08/2022] Open
Abstract
Force measurement with an optical trap requires calibration of it. With a suitable detector, such as a position-sensitive detector (PSD), it is possible to calibrate the detector so that the force can be measured for arbitrary particles and arbitrary beams without further calibration; such a calibration can be called an "absolute calibration". Here, we present a simple method for the absolute calibration of a PSD. Very often, paired position and force measurements are required, and even if synchronous measurements are possible with the position and force detectors used, knowledge of the force-position curve for the particle in the trap can be highly beneficial. Therefore, we experimentally demonstrate methods for determining the force-position curve with and without synchronous force and position measurements, beyond the Hookean (linear) region of the trap. Unlike the absolute calibration of the force and position detectors, the force-position curve depends on the particle and the trapping beam, and needs to be determined in each individual case. We demonstrate the robustness of our absolute calibration by measuring optical forces on microspheres as commonly trapped in optical tweezers, and other particles such a birefringent vaterite microspheres, red blood cells, and a deformable "blob".
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Daddi-Moussa-Ider A, Gekle S. Brownian motion near an elastic cell membrane: A theoretical study. THE EUROPEAN PHYSICAL JOURNAL. E, SOFT MATTER 2018; 41:19. [PMID: 29404712 DOI: 10.1140/epje/i2018-11627-6] [Citation(s) in RCA: 10] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 12/07/2017] [Accepted: 01/18/2018] [Indexed: 06/07/2023]
Abstract
Elastic confinements are an important component of many biological systems and dictate the transport properties of suspended particles under flow. In this paper, we review the Brownian motion of a particle moving in the vicinity of a living cell whose membrane is endowed with a resistance towards shear and bending. The analytical calculations proceed through the computation of the frequency-dependent mobility functions and the application of the fluctuation-dissipation theorem. Elastic interfaces endow the system with memory effects that lead to a long-lived anomalous subdiffusive regime of nearby particles. In the steady limit, the diffusional behavior approaches that near a no-slip hard wall. The analytical predictions are validated and supplemented with boundary-integral simulations.
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Affiliation(s)
- Abdallah Daddi-Moussa-Ider
- Institut für Theoretische Physik II: Weiche Materie, Heinrich-Heine-Universität Düsseldorf, Universitätsstraße 1, 40225, Düsseldorf, Germany.
- Biofluid Simulation and Modeling, Fachbereich Physik, Universität Bayreuth, Universitätsstraße 30, 95440, Bayreuth, Germany.
| | - Stephan Gekle
- Biofluid Simulation and Modeling, Fachbereich Physik, Universität Bayreuth, Universitätsstraße 30, 95440, Bayreuth, Germany
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7
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Ono M, Preece D, Duquette ML, Forer A, Berns MW. Mitotic tethers connect sister chromosomes and transmit "cross-polar" force during anaphase A of mitosis in PtK2 cells. BIOMEDICAL OPTICS EXPRESS 2017; 8:4310-4315. [PMID: 29082066 PMCID: PMC5654781 DOI: 10.1364/boe.8.004310] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Received: 07/03/2017] [Revised: 08/25/2017] [Accepted: 08/26/2017] [Indexed: 05/09/2023]
Abstract
Originally described in crane-fly spermatocytes, tethers physically link and transmit force between the ends of separating chromosomes. Optical tweezers and laser scissors were used to sever the tether between chromosomes, create chromosome fragments attached to the tether which move toward the opposite pole, and to trap the tethered fragments. Laser microsurgery in the intracellular space between separating telomeres reduced chromosome strain in half of tested chromosome pairs. When the telomere-containing region was severed from the rest of the chromosome body, the resultant fragment either traveled towards the proper pole (poleward), towards the sister pole (cross-polar), or movement ceased. Fragment travel towards the sister pole varied in distance and always ceased following a cut between telomeres, indicating the tether is responsible for transferring a cross-polar force to the fragment. Optical trapping of cross-polar traveling fragments places an upper boundary on the tethering force of ~1.5 pN.
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Affiliation(s)
- Matthew Ono
- Department of Bioengineering, University of California, San Diego, CA 92093,
USA
| | - Daryl Preece
- Department of Bioengineering, University of California, San Diego, CA 92093,
USA
- Department of NanoEngineering, University of California, San Diego, La Jolla, CA 92093,
USA
| | - Michelle L. Duquette
- Department of Bioengineering, University of California, San Diego, CA 92093,
USA
| | - Arthur Forer
- Department of Biology, York University, Toronto, ON M3J IP3,
Canada
| | - Michael W. Berns
- Department of Bioengineering, University of California, San Diego, CA 92093,
USA
- Beckman Laser Institute and Department of Biomedical Engineering, University of California Irvine, CA 92617,
USA
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8
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Favre-Bulle IA, Stilgoe AB, Rubinsztein-Dunlop H, Scott EK. Optical trapping of otoliths drives vestibular behaviours in larval zebrafish. Nat Commun 2017; 8:630. [PMID: 28931814 PMCID: PMC5606998 DOI: 10.1038/s41467-017-00713-2] [Citation(s) in RCA: 49] [Impact Index Per Article: 7.0] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 01/23/2017] [Accepted: 07/18/2017] [Indexed: 11/22/2022] Open
Abstract
The vestibular system, which detects gravity and motion, is crucial to survival, but the neural circuits processing vestibular information remain incompletely characterised. In part, this is because the movement needed to stimulate the vestibular system hampers traditional neuroscientific methods. Optical trapping uses focussed light to apply forces to targeted objects, typically ranging from nanometres to a few microns across. In principle, optical trapping of the otoliths (ear stones) could produce fictive vestibular stimuli in a stationary animal. Here we use optical trapping in vivo to manipulate 55-micron otoliths in larval zebrafish. Medial and lateral forces on the otoliths result in complementary corrective tail movements, and lateral forces on either otolith are sufficient to cause a rolling correction in both eyes. This confirms that optical trapping is sufficiently powerful and precise to move large objects in vivo, and sets the stage for the functional mapping of the resulting vestibular processing.The neural circuits of the vestibular system, which detects gravity and motion, remain incompletely characterised. Here the authors use an optical trap to manipulate otoliths (ear stones) in zebrafish larvae, and elicit corrective tail movements and eye rolling, thus establishing a method for mapping vestibular processing.
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Affiliation(s)
- Itia A Favre-Bulle
- School of Mathematics and Physics, The University of Queensland, St. Lucia, QLD, 4072, Australia
- School of Biomedical Sciences, The University of Queensland, St. Lucia, QLD, 4072, Australia
| | - Alexander B Stilgoe
- School of Mathematics and Physics, The University of Queensland, St. Lucia, QLD, 4072, Australia
| | | | - Ethan K Scott
- School of Biomedical Sciences, The University of Queensland, St. Lucia, QLD, 4072, Australia.
- Queensland Brain Institute, The University of Queensland, St. Lucia, QLD, 4072, Australia.
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9
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Andor N, Maley CC, Ji HP. Genomic Instability in Cancer: Teetering on the Limit of Tolerance. Cancer Res 2017; 77:2179-2185. [PMID: 28432052 DOI: 10.1158/0008-5472.can-16-1553] [Citation(s) in RCA: 150] [Impact Index Per Article: 21.4] [Reference Citation Analysis] [Abstract] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 06/02/2016] [Revised: 08/29/2016] [Accepted: 12/15/2016] [Indexed: 01/08/2023]
Abstract
Cancer genomic instability contributes to the phenomenon of intratumoral genetic heterogeneity, provides the genetic diversity required for natural selection, and enables the extensive phenotypic diversity that is frequently observed among patients. Genomic instability has previously been associated with poor prognosis. However, we have evidence that for solid tumors of epithelial origin, extreme levels of genomic instability, where more than 75% of the genome is subject to somatic copy number alterations, are associated with a potentially better prognosis compared with intermediate levels under this threshold. This has been observed in clonal subpopulations of larger size, especially when genomic instability is shared among a limited number of clones. We hypothesize that cancers with extreme levels of genomic instability may be teetering on the brink of a threshold where so much of their genome is adversely altered that cells rarely replicate successfully. Another possibility is that tumors with high levels of genomic instability are more immunogenic than other cancers with a less extensive burden of genetic aberrations. Regardless of the exact mechanism, but hinging on our ability to quantify how a tumor's burden of genetic aberrations is distributed among coexisting clones, genomic instability has important therapeutic implications. Herein, we explore the possibility that a high genomic instability could be the basis for a tumor's sensitivity to DNA-damaging therapies. We primarily focus on studies of epithelial-derived solid tumors. Cancer Res; 77(9); 2179-85. ©2017 AACR.
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Affiliation(s)
- Noemi Andor
- Division of Oncology, Department of Medicine, Stanford University School of Medicine, Stanford, California
| | - Carlo C Maley
- Biodesign Center for Personalized Diagnostics and School of Life Sciences, Arizona State University, Tempe, Arizona
- Centre for Evolution and Cancer, Institute of Cancer Research, London, United Kingdom
| | - Hanlee P Ji
- Division of Oncology, Department of Medicine, Stanford University School of Medicine, Stanford, California.
- Stanford Genome Technology Center, Stanford University, Palo Alto, California
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10
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Extending calibration-free force measurements to optically-trapped rod-shaped samples. Sci Rep 2017; 7:42960. [PMID: 28220855 PMCID: PMC5318951 DOI: 10.1038/srep42960] [Citation(s) in RCA: 12] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/04/2016] [Accepted: 01/17/2017] [Indexed: 12/14/2022] Open
Abstract
Optical trapping has become an optimal choice for biological research at the microscale due to its non-invasive performance and accessibility for quantitative studies, especially on the forces involved in biological processes. However, reliable force measurements depend on the calibration of the optical traps, which is different for each experiment and hence requires high control of the local variables, especially of the trapped object geometry. Many biological samples have an elongated, rod-like shape, such as chromosomes, intracellular organelles (e.g., peroxisomes), membrane tubules, certain microalgae, and a wide variety of bacteria and parasites. This type of samples often requires several optical traps to stabilize and orient them in the correct spatial direction, making it more difficult to determine the total force applied. Here, we manipulate glass microcylinders with holographic optical tweezers and show the accurate measurement of drag forces by calibration-free direct detection of beam momentum. The agreement between our results and slender-body hydrodynamic theoretical calculations indicates potential for this force-sensing method in studying protracted, rod-shaped specimens.
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11
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Adur J, Barbosa G, Pelegati V, Baratti M, Cesar C, Casco V, Carvalho H. Multimodal and non-linear optical microscopy applications in reproductive biology. Microsc Res Tech 2016; 79:567-82. [DOI: 10.1002/jemt.22684] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 11/27/2015] [Revised: 04/18/2016] [Accepted: 05/04/2016] [Indexed: 01/11/2023]
Affiliation(s)
- J. Adur
- Biophotonic Group. Optics and Photonics Research Center (CEPOF); Institute of Physics “Gleb Wataghin,” State University of Campinas; Brazil
- Biofotónica y Procesamiento de Información Biológica (ByPIB); CITER - Centro de Investigación y Transferencia de Entre Ríos, CONICET-UNER; Argentina
- Microscopy Laboratory Applied to Molecular and Cellular Studies, School of Bioengineering; National University of Entre Ríos; Argentina
| | - G.O. Barbosa
- Department of Structural and Functional Biology; Biology Institute, State University of Campinas; Brazil
| | - V.B. Pelegati
- Biophotonic Group. Optics and Photonics Research Center (CEPOF); Institute of Physics “Gleb Wataghin,” State University of Campinas; Brazil
- INFABiC - National Institute of Science and Technology on Photonics Applied to Cell Biology, Campinas; Brazil
| | - M.O. Baratti
- INFABiC - National Institute of Science and Technology on Photonics Applied to Cell Biology, Campinas; Brazil
| | - C.L. Cesar
- Biophotonic Group. Optics and Photonics Research Center (CEPOF); Institute of Physics “Gleb Wataghin,” State University of Campinas; Brazil
- INFABiC - National Institute of Science and Technology on Photonics Applied to Cell Biology, Campinas; Brazil
- Department of Physics of Federal University of Ceara (UFC); Brazil
| | - V.H. Casco
- Biofotónica y Procesamiento de Información Biológica (ByPIB); CITER - Centro de Investigación y Transferencia de Entre Ríos, CONICET-UNER; Argentina
- Microscopy Laboratory Applied to Molecular and Cellular Studies, School of Bioengineering; National University of Entre Ríos; Argentina
| | - H.F. Carvalho
- Department of Structural and Functional Biology; Biology Institute, State University of Campinas; Brazil
- INFABiC - National Institute of Science and Technology on Photonics Applied to Cell Biology, Campinas; Brazil
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12
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Bui AAM, Stilgoe AB, Khatibzadeh N, Nieminen TA, Berns MW, Rubinsztein-Dunlop H. Escape forces and trajectories in optical tweezers and their effect on calibration. OPTICS EXPRESS 2015; 23:24317-24330. [PMID: 26406637 DOI: 10.1364/oe.23.024317] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/05/2023]
Abstract
Whether or not an external force can make a trapped particle escape from optical tweezers can be used to measure optical forces. Combined with the linear dependence of optical forces on trapping power, a quantitative measurement of the force can be obtained. For this measurement, the particle is at the edge of the trap, away from the region near the equilbrium position where the trap can be described as a linear spring. This method provides the ability to measure higher forces for the same beam power, compared with using the linear region of the trap, with lower risk of optical damage to trapped specimens. Calibration is typically performed by using an increasing fluid flow to exert an increasing force on a trapped particle until it escapes. In this calibration technique, the particle is usually assumed to escape along a straight line in the direction of fluid-flow. Here, we show that the particle instead follows a curved trajectory, which depends on the rate of application of the force (i.e., the acceleration of the fluid flow). In the limit of very low acceleration, the particle follows the surface of zero axial optical force during the escape. The force required to produce escape depends on the trajectory, and hence the acceleration. This can result in variations in the escape force of a factor of two. This can have a major impact on calibration to determine the escape force efficiency. Even when calibration measurements are all performed in the low acceleration regime, variations in the escape force efficiency of 20% or more can still occur. We present computational simulations using generalized Lorenz-Mie theory and experimental measurements to show how the escape force efficiency depends on rate of increase of force and trapping power, and discuss the impact on calibration.
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