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* Harvard-Massachusetts Institutes of Technology, Division of Health Sciences and Technology, Departments of
Mechanical Engineering, and
Biological Engineering, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139; and
Department of Physics, Tianjin Polytechnic University, People's Republic of China
Correspondence: Address reprint requests to Peter T. C. So, E-mail: ptso{at}mit.edu.
| ABSTRACT |
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100 nm lateral resolution. We demonstrate the performance of the SW-TIRF microscopy using one- and two-directional SW illumination with a biological sample of cellular actin cytoskeleton of mouse fibroblast cells as well as single semiconductor nanocrystal molecules. The results confirm the superior resolution of SW-TIRF in addition to the merit of a high signal/background ratio from TIRF microscopy. | INTRODUCTION |
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The quest to image structural and functional biological information using far-field microscopy at high resolution has been hindered by the diffraction limit of light. The Abbe diffraction limit originates from the wave nature of light and depends on the wavelength and the numerical aperture (NA) of an objective lens. When an object that is substantially smaller than the diffraction limit is imaged by a microscope, its image would be significantly broadened compared to the original object. The intensity distribution of this effective point object is defined as the point spread function (PSF). The commonly accepted Rayleigh criterion defines the resolution as the distance between two point objects when one PSF falls on the first zero point of the other PSF, which can be barely distinguished in incoherent imaging. Also Sparrow suggested a resolution criterion when the gradient of the summed profile is zero or no dip at the midpoint (5
). These resolution definitions are roughly equal to the full width at half-maximum (FWHM) of the PSF. With typical visible light emission and oil-immersion objectives, optical resolution is over 200 nm.
The challenge of achieving superresolution in optical microscopy beyond the diffraction limit has been overcome in practice only during the last couple of decades. In particular, extending lateral or transverse resolution has been exemplified with several techniques such as i) stimulated emission depletion (STED) microscopy, ii) saturated structured illumination microscopy (SSIM), iii) solid immersion lens (SIL), iv) structured illumination microscopy (SIM), and v) harmonic excitation light microscopy (HELM).
STED has achieved the highest far-field optical resolution of <30 nm using nonlinear photon-induced saturation depletion of the excited state in the outer regions of the excitation PSF. However, this technique suffers from relatively slow speed due to the point scanning nature (6
–8
). SSIM is almost an inverse version of STED, using WF mode providing comparable superresolution to STED. Photobleaching in SSIM is particularly a challenge under saturating light intensities (9
). SIL microscopy takes advantage of high refractive index material replacing immersion oil, utilizing the evanescence field of SIL for near-field imaging, which also requires point scanning (10
). In contrast to the point scanning methods, SIM or HELM use WF camera detection, allowing faster image acquisition by encoding either the diffraction grating illumination structure or the standing wave (SW) illumination. This contains high frequency patterned illumination onto specimen, providing up to a factor of 2 lateral resolution enhancement (11
,12
–14
). To decode the high frequency information, only several images need to be taken with phase shift, and general lateral resolution enhancement requires rotation of this pattern.
Resolution enhancement by use of evanescent standing wave
Even higher lateral resolution in WF mode can be achieved by a combination of SW illumination and TIRF microscopy (15
,16
). Evanescent SW keeps the SW spacing narrower due to a higher refractive index of the substrate resulting in enhanced resolution. The SW total internal reflection fluorescence (SW-TIRF) microscope has been recently implemented (14
,17
).
Since the SW modulation is inherently sinusoidal, to reconstruct the high resolution in the direction of the SW, a minimum of three image acquisitions at different phases of the SW are required. Since phase shift is in principle fast, SW-TIRF does not necessarily increase the total image acquisition time compared to conventional WF imaging.
The lateral resolution mostly depends on the evanescent SW fringe period, which is proportional to the excitation wavelength in the substrate. As with other high resolution techniques based on interference, there exists a side-band artifact. This artifact can be easily removed by linear deconvolution if the emission PSF is narrow enough to keep the side-band lower than 30% (18
). Thus this effectively enhances the resolution much more than twofold, as demonstrated in this article.
The advances in SW-TIRF microscopy achieved in this work include: 1), the first (to our knowledge) superresolution WF imaging of single molecular and biological specimens with 2D SW-TIRF images; 2), a numerical analysis of SW-TIRF microscopy PSF to explore the effect of more than two SW directions; and 3), a demonstration that a feedback control stabilization of the evanescent SW phase ensures that this technique is sufficiently robust for routine biomedical imaging.
| THEORY |
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![]() | (1) |
![]() | (2) |
is the convolution of the fluorophore concentration distribution in the object
with
which is the multiplication of the conventional PSF
and the structured excitation intensity
This final image with narrowed PSF is obtained by the weighted sum of several intermediate images. The excitation
which carries the high spatial frequency component of structured illumination, has been transferred into the PSF to generate an effective PSF,
The detailed mathematical formulation of one-directional SW-TIRF (1D SW-TIRF) image reconstruction can be found in So et al. (15
The excitation intensity profile from evanescent SW above the surface of a high refractive index substrate can be approximately described as
![]() | (3) |
is the contrast of the SW, n is the refractive index of substrate,
is the incident angle of the excitation beam at the interface, and
is the vacuum excitation wavelength. This formulation gives lateral resolution enhancement in the direction of the SW. The extension of this 1D SW-TIRF theory to uniform lateral resolution enhancement can be achieved by superimposing the finite number of rotational SW-TIRF images (17
SW-TIRF image reconstruction
To generate a 1D SW-TIRF image, three WF images are required to be taken for each phase of the interfering SW excitation changed by 120° while the specimen remains the same. The phase difference of 120° is chosen to provide the highest signal/noise ratio (15
). The superposition of the appropriately weighted images gives a high resolution image in the SW direction.
For two-dimensional SW-TIRF, finite equipolar angles are chosen and the corresponding 1D SW-TIRF is superposed, requiring a total of 3N WF images (N = number of equipolar angles). In this article, we used two-directional SW-TIRF (2D SW-TIRF) for demonstration. The numerical simulation in the following section shows that the anisotropy of effective PSF decreases to <10% for two orthogonal directions. In addition, the images are recorded with a camera with square pixels; this choice simplifies the image analysis.
Numerical simulation
As mentioned in the Theory section, general lateral resolution enhancement can be obtained by the superposition of the enhanced images in several directions. To determine how many directional images are required to get axially symmetric PSF in a practical sense, numerical simulation has been performed using a MATLAB program (MathWorks, Natick, MA) and described in Fig. 1. For N number of directional scan, uniform angular separation was used and only the profiles of the thinnest PSF FWHM and the thickest PSF FWHM direction were presented since all the other directional profiles lies between these two. Fig. 1 A shows the shape of lateral PSFs with corresponding contour plots for N = 0, 1, 2, 3, and 4. For N = 0, the PSF is the same as conventional TIRF or wide-field (WF) PSF. For N = 1, the thinnest PSF FWHM is achieved in the direction of SW propagation, resulting in
230% narrower PSF in the SW direction whereas the PSF FWHM in the perpendicular direction remains the same as the conventional TIRF (or N = 0 case). For N = 2, the difference of PSF FWHM in the thinnest and the thickest directions is <10% and thus it is reasonably isotropic. Also it is noticeable that the two directional PSF profiles virtually converge as N increases. Though N = 3 or 4 would be better in terms of the isotropic shape of PSF, the 2D SW-TIRF will be used for the experimental demonstration since using more directions will lengthen the total exposure time and compromise fast speed imaging. Future implementations of SW-TIRF will address this limitation. The simulated PSF FWHM of TIRF is 199 nm with the actual experimental parameter values. In actual measurement, the best measured PSF FWHM was
260 nm, which corresponds to that of NA 1.1 from numerical simulation. A similar result was observed in the literature (13
,19
) and will be further discussed in the Discussion. The MATLAB code for 2D SW-TIRF numerical simulation will be made available through the Supplementary Material online.
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| MATERIALS AND METHODS |
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An additional barrier filter (HQ545LP, Chroma) is used to further attenuate the scattered excitation light. The emission out of the bottom port is expanded 16 times by relay optics and is focused onto a 12-bit intensified charge-coupled device (iCCD) camera (Pentamax, Princeton Instrument (now Roper Scientific), Trenton, NJ) with a field of view of 12 x 12 µm2. The residual excitation beams leaked through the back of the dichroic mirror exit through a hole bored at the back wall of the dichroic mirror cube. The residue excitation beams were expanded to form an interference pattern on a complementary metal oxide semiconductor (CMOS) sensor for SW phase detection.
With the current design, conventional TIRF images can be simply obtained by blocking one beam and conventional WF images can be taken by locating one beam at the center of the optical axis while blocking the other beam. This will be used for the comparison of different imaging modes.
Calibration of evanescent standing wave fringe period
As mentioned in the above section, the direct imaging measurement of the evanescent SW period is not trivial, due to its subdiffraction limited size. Instead, a thin uniform layer of fluorescent sample was prepared and SW emission was imaged by gradually increasing the incident angles from a subcritical angle, where SW can be imaged, to a supercritical angle where the SW cannot be imaged due to the resolution limit. This actual measurement of imaging SW fringes was matched with theoretical calculation from geometry within 2.5% and could be extrapolated to the setup angle of 67° ± 0.5°. We further need to calibrate the pixel size of the CCD camera. The pixel resolution was determined to be 23.9 nm by imaging a Ronchi ruling with known spacing (Edmund Optics, Barrington, NJ).
System stability and feedback control of the standing wave phase
The SW-TIRF system is basically an interferometer. Due to the thermal expansion and mechanical instability of the excitation beam path, the phase of the SW can drift over time (
100°/min) and degrade the quality of final reconstructed image. Thus it is required to use closed loop feedback control of the SW phase (Fig. 3). Since the evanescent SW spacing (
190 nm) on the coverslip is below the resolution of the imaging system (
260 nm), an indirect way of phase estimation was devised. This is done by generating another alternative interference pattern onto a CMOS camera (S9227, Hamamatsu, Bridgewater, NJ) with
10x magnification relay optics at the back of the dichroic mirror mount. From the output of the CMOS array, an algorithm is implemented to calculate the fringe period and estimate the SW phase in real time. Assuming the Nyquist limit is satisfied and the alternating current component of the normalized fringe pattern is described by
where
is the position along the CMOS array, the fringe phase,
, can be obtained from
after forming and solving the matrix equation below.
![]() | (4) |
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is the average intensity of the ith pixel in a period. Since 50 fringes can be recorded by the CMOS array, 50 values were averaged to provide a single average pixel value.
The SW phase drift was removed by a feedback control system utilizing an embedded microprocessor (SBC0486, Micro/sys, Montrose, CA) driving the PZT-driven retroreflector. The feedback signal is provided by the estimated phase of the interference pattern on the CMOS. A typical proportional, integrative, and derivative control scheme was used and the gains were tuned using the Zigler-Nichols method (20
). The drift of the phase could be minimized by covering most of the beam path and attaching optical fibers on the rigid part. The fluctuation was reduced by isolating any mechanically moving sources from the optical table except a cooling fan inside the iCCD.
Data acquisition and image reconstruction
The raw images from the iCCD camera were stored using a desktop computer with Windows 98, running the WinView (Roper Scientific, Trenton, NJ) program. The typical exposure time for each raw image was
0.1– 0.2 s with total excitation power entering into the objective <10 mW. To minimize the photobleaching of fluorophore, a mechanical shutter was used to restrict the illumination during the image acquisition. Nonfluorescent immersion oil (Olympus, n = 1.516 at 23°C) was used. Each image was subtracted by the background image of a sample without fluorophore under the same condition. The image acquisition was synchronized with the real-time feedback control of the SW fringe phase by the embedded microprocessor using custom-written software in the C programming language (Turbo C++ version 3.0). Postimage reconstruction and digital image analysis was performed on an IBM (Armonk, NY) Thinkpad laptop computer (T40) using MATLAB software. The electronic postprocessing takes a few seconds, and potentially real-time reconstruction would be feasible with the development of computing technology.
To generate a 2D SW-TIRF image, the specimen was mechanically rotated by 90° between the recordings of two 1D SW-TIRF image sets that were subsequently combined. The registration of two-directional enhanced images was performed by using cross correlation of two images to find the relative shift of images before superposition. However, care needs to be taken since this cross correlation may not work well when the overall intensity distribution of each image is not the same. The mechanical sample rotation may be avoided in the future by the use of multiple directional excitation (13
).
Fluorescent polystyrene spheres and semiconductor nanocrystals (quantum dots)
Fluorescent polystyrene microspheres (F-8792, Molecular Probes, Eugene, OR), with a nominal diameter of 44 nm and peak emission at 560 nm, were sonicated for several minutes and were loaded onto a cover slide followed by covering with a standard coverslip (22 x 22 mm2, No. 1.5 thickness). The coverslip was sealed with nail polish to prevent the evaporation of water. Initially most beads were moving due to Brownian motion. After overnight, most beads are attached on the coverslip and ready for imaging. The number concentration of microspheres was adjusted to get
10–30 beads in the microscope field of view (12 x 12 µm2).
The sample preparation of quantum dots was similar to that of polystyrene microspheres except using quantum dots (Qdot565 streptavidin conjugated, Invitrogen, Carlsbad, CA). It was recognized that the quantum dots are prone to lose their signal if stored in diluted solution. In addition, their blinking nature was adverse to the SW-TIRF technique based on the quantitative signal of intermediate images.
Cell culture and fluorescent labeling of the actin cytoskeleton
Fibroblasts were grown in standard 100 mm x 20 mm cell culture dishes (Corning, VWR, West Chester, PA) in Dulbecco's modified Eagle's medium (Cellgro, Mediatech, Herndon, VA) supplemented with 10% fetal bovine serum (Invitrogen, Carlsbad, CA) and penicillin-streptomycin (100 units of penicillin per ml media, and 100 µg streptomycin per ml media; Invitrogen). Cells were cultured at 37°C in 5% CO2. At 24 h before the labeling experiments, fibroblasts were plated on 35-mm glass-bottom cell culture dishes (MatTek, Ashland, MA) coated with collagen I (1 µg/cm2; Cohesion Tech, Palo Alto, CA).
On the day of the experiments, the cell confluency had reached
60%. At room temperature, cells were then fixed with 3.7% formaldehyde in phosphate buffered saline (PBS, Mediatech) for 10 min, washed twice with PBS, and extracted with 0.1% Triton X-100 in PBS for 5 min. To reduce nonspecific background staining, fixed cells were then incubated in PBS containing 1% bovine serum albumin (Polysciences, Warrington, PA) for 20 min. For F-actin labeling, cells were then incubated with 165-nM AlexaFluor 532 phalloidin (Molecular Probes) for 20 min and washed three times with PBS.
| RESULTS |
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1.1. Although the theoretical NA of the objective is supposed to be 1.45, the lower NA value is consistent with conventional TIRF measurement where PSF with FWHM of 260 nm is measured. This performance characteristic of the objective is consistent with in-house measurement by Olympus (Eiji Yokoi, Olympus America, Inc., personal communication, 2005) and will be further investigated in the Discussion. Nonetheless, since the relative height of side lobes compared to the main peak is <30%, linear deconvolution can quickly eliminate side lobes as shown in Fig. 4 c (18
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Quantum dots are also ideal objects for PSF measurements due to their small size of 10–25 nm, which is far below the diffraction limit. The result is displayed in Fig. 5 with vertical intensity profiles of several regions of interests (ROI). The total input power into the objective was
4.6 mW. The results of 1D SW-TIRF imaging showed lateral resolution enhancement of more than 2.5 times in ROI I and II.
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Imaging actin cytoskeleton: 1D SW-TIRF
Imaging of biological specimen is demonstrated in Fig. 6. Since the SW propagation is in the vertical direction, 1D SW-TIRF gives resolution enhancement only in the vertical direction. WF image A (a) has a higher background noise level, whereas conventional TIRF image B (b) shows significantly lower background noise compared to WF due to the shallow evanescent excitation of
73 nm. However, the lateral resolution remains about the same with WF and TIRF. Images in B (c) and B (d) show the SW-TIRF image and that with linear deconvolution, respectively. The presence of horizontal stripes in B (c) is due to the side lobes of the original 1D SW-TIRF image and is reasonably suppressed after linear deconvolution in B (d). The SW-TIRF images reveal finer detail of the cellular actin cytoskeleton, resulting in 235% enhancement in terms of lateral resolution compared to the WF image, which demonstrates the high resolution capability of this system in the application of imaging cellular actin cytoskeleton.
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| DISCUSSION |
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From the theory of diffraction-limited imaging provided by the Airy function, the ideal PSF FWHM is calculated to be 199 nm with an NA of 1.45 and an emission wavelength of 560 nm. In contrast, the measured PSF FWHM was 260 nm under the same condition with a 44-nm bead. Since in SW-TIRF the height of side lobes depends on the original PSF, a discussion regarding the origin of this nonideal PSF might be useful. First, the high NA microscope objective may not have an ideal modulation transfer function from manufacturing due to strong attenuation of marginal rays (19
). Second, the emission from the fluorescent beads is not actually monochromatic at 560 nm but peaked at 560 nm with a long spectral tail into the longer wavelength region. Third, the effect of bead size adds some broadening to the final PSF FWHM. However, numerical simulation by convoluting the finite bead model with the Airy function gives the broadening of PSF FWHM of <5% with a 44-nm-size bead. Fourth, there exists cross talk between CCD pixels due to the coupling fibers which connect the microchannel plate in the image intensifier to the CCD chip. The pixelation error is increased by a factor of 1.5 due to the fiber coupling ratio, resulting in the effective pixel size of 22.6 µm instead of the physical pixel size of 15 µm (26
). In fact, iCCD is not our first detector choice for two reasons but is used since it is available in our laboratory. Our image field of view is significantly limited by the relatively small CCD chip (512 x 512 pixels) used in this camera. Our imaging speed (
11 fps) is limited by the slow readout rate of this device. A larger format, electron bombardment CCD, with a fast readout rate may be a better choice. Other potential reasons could be the misalignment of the optical setup and the aberration of relay optics. The broadening of PSF FWHM by 20% was also reported in other systems (13
).
In principle, the SW-TIRF resolution is not inherently limited by the emission PSF. But it is mostly limited by how small structured excitation could be generated. If a nonlinear excitation is incorporated, even further resolution could be achieved (9
,15
). Without incorporating any nonlinear optical technique, the PSF FWHM could have reached down to
90 nm with the setting here. However, the Gaussian laser beam needs a small margin to generate a uniform SW overlapping field onto the field of view. A further resolution of 69 nm could be achieved if the currently available NA 1.65 objective with 457-nm excitation is used.
We are currently developing a real-time SW-TIRF microscope for live cell imaging with multicolor capability. Semiconductor quantum dots might be suitable chromophores for long-term live cell imaging because of their excellent photostability and low photobleaching (21
). Most importantly, different colors of quantum dots can be efficiently excited at a single excitation wavelength, eliminating the instrumental and computational complications of imaging using different colors and periods of standing evanescence waves. However, quantum dots exhibit characteristic blinking behavior. Blinking could interfere with SW-TIRF microscopy where precise intensity information is needed for image processing. The problem might be overcome by biochemical suppression methods (22
). This development could allow the study of dynamic processes of live cells such as cellular attachment or migration as well as endo/exocitosis, even at higher resolution and with single molecular sensitivity.
Further resolution improvement may require nonlinear modalities such as STED or two-photon microscopy with the additional advantage of side-lobe suppression. However, an even higher signal/noise ratio may be obtained by utilizing surface plasmon resonance-coupled emission (27
). The resolution of any imaging system depends on the signal/noise ratio, which is ultimately limited by the number of collected photons. For fluorescence methods, this imposes an intrinsic limit to any approaches to improve resolution by decreasing the size of PSF due to the relatively increased noise in low light fluorescence imaging (26
). On the other hand, the nonfluorescent or scattering version of SW-TIR with novel metal nanoparticles may open up broader applications (28
,29
). Since the photon scattering process is instantaneous instead of having a finite lifetime as in fluorescence processes, the signal photon production rate of metal nanoparticles in biological systems is only limited by heating processes and can be orders of magnitude higher than fluorescence. Further, there is no concern about photobleaching for metal nanoparticles. These noble metal nanoparticles with very high scattering power may serve as fluorescent analogs in biology for SW-TIRF imaging although the imaging process is coherent rather than incoherent, as in fluorescence imaging.
| CONCLUSION |
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| SUPPLEMENTARY MATERIAL |
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| ACKNOWLEDGEMENTS |
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This research was funded by the National Science Foundation (research grant MCB-9604382) and the National Institutes of Health (P01HL64858).
| FOOTNOTES |
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Submitted on September 27, 2006; accepted for publication April 13, 2007.
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