Abstract
Despite the notable progress that has been made with nano-bio imaging probes, quantitative nanoscale imaging of multistructured specimens such as mammalian cells remains challenging due to their inherent structural complexity. Here, we successfully performed three-dimensional (3D) imaging of mammalian nuclei by combining coherent x-ray diffraction microscopy, explicitly visualizing nuclear substructures at several tens of nanometer resolution, and optical fluorescence microscopy, cross confirming the substructures with immunostaining. This demonstrates the successful application of coherent x-rays to obtain the 3D ultrastructure of mammalian nuclei and establishes a solid route to nanoscale imaging of complex specimens.
Introduction
Nanoscale three-dimensional (3D) structures greatly enhance our understanding of nanomaterials and biological systems (1) and facilitate the rational design of new functional nanostructures. In the last several decades, electron microscopy has played a key role in unveiling high-resolution structures (2, 3), but its application in imaging thick specimens has been hampered. As a promising alternative, coherent diffraction imaging (CDI) has demonstrated its potential for noninvasive, quantitative imaging of whole biological cells and nanomaterials, especially using x-rays, which generally penetrate deeper into the specimens than electrons (4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16). In particular, CDI may provide a more economic use of x-ray radiation by directly detecting signals from a specimen without the interference of a lens, where absorption is indispensible, which is essential to realize high-resolution and high-contrast imaging (17, 18, 19, 20, 21, 22).
Particularly in the last couple of years, investigators have employed CDI for paradigm-shifting applications in nanomaterials and biosystems by utilizing femtosecond x-ray laser pulses from x-ray free electron lasers (XFELs) (23, 24, 25, 26, 27, 28, 29, 30, 31, 32). Single-shot diffraction imaging with intense (∼mJ), ultrashort (∼10 fs) x-ray laser pulses from XFELs enables one to acquire intact structures by recording diffraction signals from specimens before the onset of x-ray radiation-induced sample deformation (known as diffraction before destruction) (23, 24, 25, 33, 34). Although XFEL single-shot imaging is expected to facilitate high-resolution imaging by overcoming the radiation-damage limit, it may not be directly applicable for 3D imaging of heterogeneous specimens at such radiation-unlimited resolution, since the same specimen may not be measured repeatedly while preserving intact structure (32, 35). The combined use of 3D imaging with synchrotron radiation and high-resolution 2D single-shot imaging with XFELs may provide a dexterous imaging modality (36), but requires a concrete establishment of each imaging technique. Despite the rapid progress that has been made in the last several years, however, analytical imaging of complex structures such as whole mammalian cells has remained challenging.
Here, we introduce the first (to our knowledge) successful application of analytic 3D imaging to multiorganelle mammalian nuclei, progressing beyond the level of proof-of-concept applications to rather simple structures. The cellular nucleus is the control tower of eukaryotic cells, where the essential biological functions of gene replication and transcription take place (37, 38, 39). The nucleus itself, enclosed by a lipid bilayer, is a composite organelle that contains functionally distinct substructures (nucleoli, chromatin structures, and several different nuclear bodies or speckles). They comprise the complex architecture of the nucleus, and intricate interactions occur to coordinate their functions. To understand the cellular functions of the nuclei and, in particular, the complex process of gene regulation (37, 40, 41, 42), it is essential to reveal the whole 3D ultrastructure of the nucleus.
Materials and Methods
Sample preparations
We prepared cells with micronuclei by treating A9 cells using nocodazole, an inhibitor of microtubule polymerization. When assembly of the mitotic spindle is interfered with, chromosomes are scattered in the cytoplasm in mitotic cells. When the cells eventually return to interphase, after a period of metaphase delay, the nuclear envelope is assembled around individual chromosomes or small groups of chromosomes to generate interphase micronuclei. The micronuclei largely preserve the morphological features of normal control nuclei, except for the size (43).
Mouse A9 cells were purchased from HSRRB (Osaka, Japan) and grown in Eagle’s minimum essential medium with 10% fetal calf serum in a humidified incubator at 37°C with 5% CO2. The formation of micronuclei was induced by treating cells with 200 ng/ml nocodazole for 48 h. After cells that were still in mitosis were removed by shaking, the remaining cells were trypsinized, harvested, washed twice with serum-free medium, and suspended in ice-cold RSB (10 mM Tris, pH 7.5, 10 mM NaCl, and 1.5 mM MgCl2). After 15 min incubation on ice, the cells were homogenized by 10 strokes with a stainless homogenizer to release nuclei. All subsequent procedures were performed at 4°C. After cellular debris was removed by centrifugation at 70 g for 10 min, the lysate was layered over a stepped sucrose gradient consisting of 60%/50%/40% sucrose in RSB, followed by centrifugation at 3920 g for 15 min using a JS13.1 rotor (Beckman). Fractions containing 50–60% sucrose were manually collected, diluted three times with RSB, supplemented with Triton X-100 to 0.5%, mixed well using a syringe attached to a 27-G needle, placed on a stepped sucrose gradient consisting of 60%/40% sucrose in RSB, and spun at 3920 g for 15 min in the JS13.1 rotor. Micronuclei that accumulated on the top of the 60% sucrose layer were collected and fixed with 0.5% glutaraldehyde. The chemically fixed interphase micronuclei were mounted and dried on 30 nm thin Si3N4 membranes for x-ray imaging experiments.
Immunofluorescence staining and imaging
Treated A9 cells were fixed with 3.7% formaldehyde in PBS for 10 min and processed for immunofluorescence staining using mouse monoclonal antibody against fibrillarin (clone 38F3; Abcam) and Alexa Fluor 488 goat anti-mouse IgG (Life Technologies). DNA was counterstained with Hoechst 33342. Images were acquired on a Deltavision (Applied Precision) equipped with a camera (CoolSNAPHQ2) using a zoom lens of 60× magnification (1.4 NA), PlanApo objective (Olympus), and softWoRx acquisition software (Applied Precision). Images with a focal step of 0.2 μm were collected and deconvoluted with softWoRx.
Phase retrieval and image reconstruction
Images were reconstructed after the phases of measured diffraction amplitude were retrieved through numerical iteration using the Guided Hybrid-Input-Output (GHIO) algorithm (44). The measured diffraction pattern was centro-symmetrized. Data with an array size of 1260 × 1260, equivalent to 41.7 μm−1 in resolution, were used for reconstructions. The data were numerically binned by merging 3 × 3 pixel arrays, enhancing the signal/noise ratio by almost an order of magnitude. Numerical deconvolution was then carried out, resulting in an exactly oversampled diffraction pattern (45). The final array size used for the phase retrieval was 420 × 420, but still represented the same resolution of 41.7 μm−1. The GHIO phase retrieval started with 16 independent sets of random phases using the Hybrid-Input-Output (HIO) algorithm (46). A rectangular boundary confining the image-containing area, or support, was estimated from the oversampling ratio (47). An image with the lowest R-value, R≡∑i,j|Fcalc(i.j)−Fmeas(i.j)|/∑i,jFmeas(i.j), among 16 reconstructions of 3000 iterations each was chosen as the best image by finishing the first generation of the reconstruction. Sixteen independent reconstructions for the next 3000 iterations were then started from 16 images generated by taking the geometrical means of the respective 16 images obtained from the previous generation’s reconstruction with the best image. These procedures were repeated up to the sixth generation. Finally, five images of low R-values were averaged to generate a tight support. The averaged image was smoothed over three to five pixels and the region with mass density higher than 7–9% of the average density was read to define a tight support. Using this tightened support, the GHIO was run again starting from fresh random phases and the same procedures were repeated up to the eighth generation, resulting in 16 images that were almost identical, ensuring the fidelity of our phase retrieval. The three best images were averaged to represent the reconstructed image of that diffraction pattern. The missed central portion of the data was acquired during phase retrieval by taking the values cast from the reconstructions. With all the data having the missing central part of the data within the central speckle of the measured pattern, we observed remarkable stability in the retrieved amplitude.
Results and Discussion
Coherent x-ray diffraction imaging
CDI experiments were carried out at beamline 29XU of SPring-8. Incident x-ray photon energy was fixed at 5 keV. To enhance the spatial coherence of the x-rays, we installed a circular aperture of 20 μm diameter at 1.0 m upstream of the sample (48, 49). The pinhole aperture enhanced illuminations of spatially coherent x-rays with the same phase (plane wave incidence) at the specimen. Two bevel-edged slits were placed in front of the sample to block parasitic scattering from the aperture and other optics components. X-ray diffraction patterns from the specimen were recorded on a liquid-nitrogen-cooled charge-coupled device (CCD) detector (Roper) mounted 1.23 m downstream of the sample. A beam stopper made of Tantalum and installed right in front of the CCD chip blocked the direct x-ray beam to avoid any damage to the CCD chip by intense x-rays. The x-ray beam stopper results in a missing portion at the center of the diffraction pattern. In general, this missing portion, when limited to the central speckle, does not influence phase retrieval. During the phase retrieval, this missing portion is left unbiased whereas other parts are constrained by measured data. When this missing central part is smaller than the central speckle, the retrieved amplitude usually converges rapidly and reliably (50).
2D imaging with the projection density of a nucleus
We obtained a 2D coherent diffraction pattern from a nucleus as displayed in Fig. 1 a. The missing portion of the data due to the beam stopper was confined within the central speckle as shown in the inset of Fig. 1 a. A line cut of the diffraction pattern in Fig. 1 b along the white line in Fig. 1 a displays clearly discernible fringes with an oscillation period of ∼1.5 μm, reflecting the size of the specimen. After the aforementioned phase retrieval process, we reconstructed the image from the diffraction pattern with the scale bar representing 1.0 μm in Fig. 1 c. The reconstructed image, a 2D projection density of the interphase nucleus, displays the planar morphology of the specimen with inhomogeneous local density variation resulting from the complex internal structures.
We calculated the quantitative value of the projected electron density directly from the intensity at the center of the CCD detector (dI(Q = 0)) and incident x-ray flux density (Io) using the relation
(1) |
Here, dΩ is the solid angle spanned by the central pixel of the detector, dX × dY, located at a distance r from the sample with dΩ = (dX × dY)/r2; fN(Q) is the normalized atomic form factor (fN(Q = 0) = 1); re is the classical electron radius; and Ne is the total number of electrons. For the CCD detector used in this experiment, dX and dY have the same dimension of 20 μm. Using the relation in Eq. 1, we obtained the total number of electrons (Ne) explicitly, and we scaled the total electron density of the reconstructed image to be consistent with this value (Ne) to represent the actual electron density. The projected density is displayed quantitatively as a color map with the scale bar to the right in Fig. 1 c. The spatial resolution of the image is usually assessed by the signal/noise ratio of the measured diffraction patterns and consistency in retrieved phases. The diffraction pattern sustains good signal up to a spatial frequency corresponding to better than 20 nm image resolution, as inferred from the power spectral density Fig. 1 d. To further assess the resolution, we estimated the phase retrieval transfer function (PRTF). We determined the resolution-dependent fidelity of image reconstruction as shown in Fig. 1 d (26) by comparing the calculated speckle pattern (|Fcalc(Q)|) of the reconstructed image with the measured value of (|Fmeas(Q)|) as |Fcalc(Q)|/|Fmeas(Q)|. The PRTF scores higher than 0.6, implying that the projected density maps were obtained at better than 20 nm image resolution (see also Fig. S1 in the Supporting Material) (51).
3D coherent diffraction microscopy
As the 2D image is limited to displaying a projection image with buried details of internal structures, we proceeded to carry out 3D imaging by acquiring multiple projection images. Fig. 2 displays the schematics of tomographic 3D CDI. We acquired a 3D density map of the mouse micronucleus in its interphase from multiple 2D images, which were plane-projected density maps of the nucleus with its orientation controlled by the rotation stage. By rotating the specimen from −76° to +76° with intervals allowing an equal angular slope, we recorded 29 diffraction patterns on the CCD detector. Each individual 2D diffraction pattern was first converted to an image corresponding to a plane-projected 3D density, as known from the Fourier slice theorem (52). We obtained the 3D structure using these 29 projection images via iterative equal-slope tomographic (EST) reconstruction (53). We first aligned all of the 29 projections to the same rotation center by employing the center-of-mass alignment scheme (54). This alignment scheme ascertains the self-consistency among all of the images, resulting in precise alignments. The EST allows consistent tomographic reconstruction via iterative refinements of the 3D structure while being consistent with the obtained projection images and diffraction patterns simultaneously. The EST method can achieve efficient tomographic reconstructions using a limited number of projections and thus is effective for radiation-damage-sensitive specimens (Figs. S2–S4). Technical details of the EST methods have been published elsewhere (51, 55, 56, 57).
Quantitative 3D architecture of the nucleus
We revealed the quantitative 3D architecture of the interphase micronucleus noninvasively using coherent x-rays (Fig. 3; Movie S1). The direction of the incident x-rays was parallel to the z-axis at a tilting angle of 0° and the sample was tilted through rotation along the y-axis in Fig. 3. The volume-rendered density map is visualized in Fig. 3. The total volume of the nucleus was found to be 2.3 μm3, with an average density of 0.44 electrons/Å3 calculated from the total electron density according to the aforementioned procedure. The average density is similar to the nominal electron density of proteins (58).
In Fig. 3, a and b, the internal density distributions of the 3D structure display the substructures directly from the reconstructed image. Different colors are used to distinguish each individual nuclear substructure (nuclear envelope in gray, chromatin in blue, nucleolus-reminiscent structure in red, heterochromatin-like highly condensed chromatin in green, and nuclear blobs in cyan). To visualize the internal structures, the nuclear envelope is displayed transparently in Fig. 3, c and d. Visualization of the substructures is aided by the segmentations in Fig. 3. The segmentation was carried out by identifying the connected equal density regions manually. The segmentation was employed to facilitate visualization only, and the actual quantitative analysis was performed using the raw data of the 3D density. The 3D density map readily reveals nuclear substructures in Fig. 3. The condensed chromatin appears to be ∼340 nm long, with each part being 170 nm in length. A small spherical object in the vicinity of a nucleolus-like structure implies a nuclear blob. Another object of similar size and shape is found at the periphery of the nucleus. Side and top views of the nucleus display the skeleton-like structure with the nucleolus-like structure and condensed chromatin near the center in Fig. 3, c and d (41, 42, 59).
Located near the center of the nucleus is an isolated high-density substructure with a diameter of ∼330 nm, resembling a nucleolus (red) (59). The nucleolus is a nuclear substructure in which the synthesis and processing of preribosomal RNA, as well as the assembly of proteins into preribosomal structures, occur. Internal fine structures, such as fibrillar centers, present in nucleoli as characteristic features. Details regarding the functions and structures of nucleoli can be found elsewhere (59, 60, 61, 62). The volume of the nucleolus-reminiscent structure is 0.0044 μm3, representing ∼0.2% of the volume fraction of the whole nucleus. Its average electron density is estimated to be 0.62 electrons/Å3, ∼1.5 times the average nucleus density obtained. Internal details of the nucleolus-like structure were observed directly from the 3D structure shown in Fig. 4 (39, 63). Cross sections of reconstructed density explicitly visualize inhomogeneous density distributions characterizing fine structures of the nucleolus in Fig. 4. These fine structures, which range between 40 nm and 60 nm in diameter, are shown in Fig. 4, a and b. The electron density inside the nucleolus was acquired directly from the reconstructed 3D image in Fig. 4, c–f. The density maps were obtained by numerically sectioning the nucleolus to display total densities contained in 36-nm-thick slabs. The position of the sectioned density maps in Fig. 4, c–f corresponds to the cross-sectional view in Fig. 4 b (bottom). The observed characteristic fine structures support the finding that the identified structure resembles the nucleolus (60).
Internal structures displayed via numerical sectioning
The reconstructed 3D image was numerically sectioned to display the internal electron density distribution in Fig. 5. Three image pixel layers, corresponding to a 36-nm-thin slab, were added along the x direction in the visualization of the sectioned images in Fig. 5. The coordinate follows the same convention used in Fig. 3. An isolated high-density object, identified as the nucleolus, is apparent in the sectioned image of x:88–91 through x:103–105, supporting the interpretation in Figs. 3 and 4. Arrows mark the nucleolus (NO) in the sectioned images where it appears most conspicuously. The fine structures of the nucleolus are also observed within the nucleolus. Overall, a skeleton-like structure of chromatin regions is noted in the sectioned images (41).
Fluorescent optical imaging
Next, we turn to fluorescent optical-microscope imaging to verify the nuclear substructures through multicolor labeling specific to each substructure, as shown in Fig. 6 (see also Figs. S5 and S6). The specimens with circular boundaries in Fig. 6 a correspond to individual micronuclei in the interphase. Chromatin structures were imaged by staining the DNA with Hoechst 33342 (Fig. 6 a). The bright spots represent heterochromatic regions in Fig. 6 a (see also Fig. S5). The heterochromatin structures identified by fluorescent optical-microscope imaging are consistent with the 3D architecture obtained using coherent x-rays (Fig. 3) in terms of size, shape, and distribution.
Fig. 6 b displays nucleoli identified by staining fibrillarin using a mouse monoclonal antibody (clone38F3; Abcam) and Alexa Fluor 488 goat anti-mouse IgG (Life Technologies) (Fig. S6). Two images in Fig. 6, a and b, are overlaid, displaying the location of nucleoli (green) and chromatins (red) in the micronuclei shown in Fig. 6 c. We observed that the heterochromatin (shown in bright red with stronger staining by Hoechst3342) was often located near the fibrillarin in Fig. 6 c, similar to what was observed for the 3D structure from x-ray imaging in Fig. 3. This spatial proximity of heterochromatin to the nucleolus may indicate that the observed heterochromatin stems from the nucleolus-like structure (59). The observation of nucleoli, broadly distributed chromatins, and localized heterochromatins in the vicinity of nucleoli and the nuclear periphery in Fig. 6 further reveals the architecture of nuclei commonly noticed in the interphase (41, 59).
Conclusions
In this work, we unveiled the 3D architecture of mammalian nuclei quantitatively by using coherent x-ray diffraction tomography. Nuclear substructures were successfully obtained and confirmed independently by fluorescent optical microscopy after multicolor immunostaining. The combination of high-resolution x-ray imaging and multicolor fluorescence microscopy was able to reveal the quantitative 3D architecture of a whole mammalian nucleus, and can be readily extended to other complex structures that contain multiple components at a resolution of several tens of nanometers in 3D. The total x-ray radiation dose delivered to the specimen was estimated to be 4 × 108 Gy, which is less than the maximum tolerable radiation dose at which structures at this scale remain intact under cryogenic conditions (64). In the x-ray experiments, we made an elaborate effort to maintain a lower radiation dose by reducing the number of projections and limiting the exposure time for recording each 2D diffraction pattern to avoid degrading the image resolution and contrast (see also Fig. S4). Although we remain cautious about the achieved image resolution, we were able to distinguish fine structures of ∼40 nm successfully. Imaging with cryocooling is essential, especially for 3D imaging using synchrotron x-rays, to better preserve the specimens with increased tolerance to the x-ray radiation dose. We expect that coherent x-ray diffraction tomography may achieve a 10 nm scale resolution for cryocooled specimens, which can tolerate a few hundred times higher x-ray doses (65, 66, 67). We believe our use of synchrotron coherent x-ray imaging to unveil the 3D architecture of complex mammalian nuclei together with optical multicolor fluorescence microscopy will greatly strengthen the analytic capability of such an imaging scheme.
Acknowledgments
The authors thank Y. Kohmura and Y. Nishino for help at beamline 29XU, J. Miao for valuable discussion, D. Nam for help in the numerical simulations, and K. Yonekura for guidance with the specimens.
This research was supported by RIKEN and in part by MEXT through the X-Ray Free Electron Laser Priority Strategy Program.
Editor: Lois Pollack.
Footnotes
Six figures and one movie are available at http://www.biophysj.org/biophysj/supplemental/S0006-3495(14)00746-2.
Supporting Material
References
- 1.Pawley J.B., editor. Handbook of Biological Confocal Microscopy. Springer; New York: 2006. [Google Scholar]
- 2.Frank J. Oxford University Press; Oxford: 2006. Three-Dimensional Electron Microscopy of Macromoleculear Assemblies. [Google Scholar]
- 3.Spence J.C.H. Oxford University Press; Oxford: 2003. High-Resolution Electron Microscopy. [Google Scholar]
- 4.Miao J., Sandberg R.L., Song C. Coherent x-ray diffraction imaging. IEEE J. Sel. Top. Quant. Electron. 2012;18:399–410. [Google Scholar]
- 5.Murnane M.M., Miao J. Optics: ultrafast X-ray photography. Nature. 2009;460:1088–1090. doi: 10.1038/4601088a. [DOI] [PubMed] [Google Scholar]
- 6.Chapman H.N., Nugent K.A. Coherent lensless X-ray imaging. Nat. Photonics. 2010;4:833–839. [Google Scholar]
- 7.Henderson R. The potential and limitations of neutrons, electrons and X-rays for atomic resolution microscopy of unstained biological molecules. Q. Rev. Biophys. 1995;28:171–193. doi: 10.1017/s003358350000305x. [DOI] [PubMed] [Google Scholar]
- 8.Jiang H., Song C., Miao J. Quantitative 3D imaging of whole, unstained cells by using X-ray diffraction microscopy. Proc. Natl. Acad. Sci. USA. 2010;107:11234–11239. doi: 10.1073/pnas.1000156107. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 9.Giewekemeyer K., Thibault P., Salditt T. Quantitative biological imaging by ptychographic x-ray diffraction microscopy. Proc. Natl. Acad. Sci. USA. 2010;107:529–534. doi: 10.1073/pnas.0905846107. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 10.Nishino Y., Takahashi Y., Maeshima K. Three-dimensional visualization of a human chromosome using coherent x-ray diffraction. Phys. Rev. Lett. 2009;102:018101. doi: 10.1103/PhysRevLett.102.018101. [DOI] [PubMed] [Google Scholar]
- 11.Pfeifer M.A., Williams G.J., Robinson I.K. Three-dimensional mapping of a deformation field inside a nanocrystal. Nature. 2006;442:63–66. doi: 10.1038/nature04867. [DOI] [PubMed] [Google Scholar]
- 12.Williams G.J., Quiney H.M., de Jonge M.D. Fresnel coherent diffractive imaging. Phys. Rev. Lett. 2006;97:025506. doi: 10.1103/PhysRevLett.97.025506. [DOI] [PubMed] [Google Scholar]
- 13.Shapiro D., Thibault P., Sayre D. Biological imaging by soft x-ray diffraction microscopy. Proc. Natl. Acad. Sci. USA. 2005;102:15343–15346. doi: 10.1073/pnas.0503305102. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 14.Jones M.W.M., van Riessen G.A., Peele A.G. Whole-cell phase contrast imaging at the nanoscale using Fresnel coherent diffractive imaging tomography. Sci. Rep. 2013;3:2288. doi: 10.1038/srep02288. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 15.Suzuki A., Furutaku S., Takahashi Y. High-resolution multislice x-ray ptychography of extended thick objects. Phys. Rev. Lett. 2014;112:053903. doi: 10.1103/PhysRevLett.112.053903. [DOI] [PubMed] [Google Scholar]
- 16.Nugent K.A. Coherent methods in the X-ray sciences. Adv. Phys. 2010;59:1–99. [Google Scholar]
- 17.Song C., Jiang H., Miao J. Quantitative imaging of single, unstained viruses with coherent X rays. Phys. Rev. Lett. 2008;101:158101. doi: 10.1103/PhysRevLett.101.158101. [DOI] [PubMed] [Google Scholar]
- 18.Sandberg R.L., Song C., Miao J. High numerical aperture tabletop soft x-ray diffraction microscopy with 70-nm resolution. Proc. Natl. Acad. Sci. USA. 2008;105:24–27. doi: 10.1073/pnas.0710761105. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 19.Takahashi Y., Nishino Y., Yamauchi K. High-resolution diffraction microscopy using the plane-wave field of a nearly diffraction limited focused x-ray beam. Phys. Rev. B. 2009;80:054103. [Google Scholar]
- 20.Mancuso A.P., Yefanov O.M., Vartanyants I.A. Coherent diffractive imaging of biological samples at synchrotron and free electron laser facilities. J. Biotechnol. 2010;149:229–237. doi: 10.1016/j.jbiotec.2010.01.024. [DOI] [PubMed] [Google Scholar]
- 21.Seaberg M.D., Adams D.E., Murnane M.M. Ultrahigh 22 nm resolution coherent diffractive imaging using a desktop 13 nm high harmonic source. Opt. Express. 2011;19:22470–22479. doi: 10.1364/OE.19.022470. [DOI] [PubMed] [Google Scholar]
- 22.Nam D., Park J., Song C. Imaging fully hydrated whole cells by coherent x-ray diffraction microscopy. Phys. Rev. Lett. 2013;110:098103. doi: 10.1103/PhysRevLett.110.098103. [DOI] [PubMed] [Google Scholar]
- 23.Emma P., Akre R., Galayda J. First lasing and operation of an angstrom-wavelength free-electron laser. Nat. Photonics. 2010;4:641–647. [Google Scholar]
- 24.Ishikawa T., Aoyagi H., Kumagai N. A compact X-ray free-electron laser emitting in the sub-angstrom region. Nat. Photonics. 2012;6:540–544. [Google Scholar]
- 25.Neutze R., Wouts R., Hajdu J. Potential for biomolecular imaging with femtosecond X-ray pulses. Nature. 2000;406:752–757. doi: 10.1038/35021099. [DOI] [PubMed] [Google Scholar]
- 26.Chapman H.N., Barty A., Hajdu J. Femtosecond diffractive imaging with a soft-X-ray free-electron laser. Nat. Phys. 2006;2:839–843. [Google Scholar]
- 27.Quiney H.M., Nugent K.A. Biomolecular imaging and electronic damage using X-ray free-electron lasers. Nat. Phys. 2011;7:142–146. [Google Scholar]
- 28.Kimura T., Joti Y., Nishino Y. Imaging live cell in micro-liquid enclosure by X-ray laser diffraction. Nat. Commun. 2014;5:3052. doi: 10.1038/ncomms4052. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 29.Loh N.D., Hampton C.Y., Bogan M.J. Fractal morphology, imaging and mass spectrometry of single aerosol particles in flight. Nature. 2012;486:513–517. doi: 10.1038/nature11222. [DOI] [PubMed] [Google Scholar]
- 30.Park J., Nam D., Song C. Assessment of radiation damage in single-shot coherent diffraction of DNA molecules by an extreme-ultraviolet free-electron laser. Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 2012;86:042901. doi: 10.1103/PhysRevE.86.042901. [DOI] [PubMed] [Google Scholar]
- 31.Seibert M.M., Ekeberg T., Hajdu J. Single mimivirus particles intercepted and imaged with an X-ray laser. Nature. 2011;470:78–81. doi: 10.1038/nature09748. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 32.Schlichting I., Miao J. Emerging opportunities in structural biology with X-ray free-electron lasers. Curr. Opin. Struct. Biol. 2012;22:613–626. doi: 10.1016/j.sbi.2012.07.015. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 33.Barty A., Caleman C., Chapman H.N. Self-terminating diffraction gates femtosecond X-ray nanocrystallography measurements. Nat. Photonics. 2012;6:35–40. doi: 10.1038/nphoton.2011.297. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 34.Park J., Joti Y., Song C. Monte Carlo study for optimal conditions in single-shot imaging with femtosecond x-ray laser pulses. Appl. Phys. Lett. 2013;103:264101. [Google Scholar]
- 35.Oroguchi T., Nakasako M. Three-dimensional structure determination protocol for noncrystalline biomolecules using x-ray free-electron laser diffraction imaging. Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 2013;87:022712. doi: 10.1103/PhysRevE.87.022712. [DOI] [PubMed] [Google Scholar]
- 36.Gallagher-Jones M., Bessho Y., Song C. Macromolecular structures probed by combining single-shot free-electron laser diffraction with synchrotron coherent X-ray imaging. Nat. Commun. 2014;5:3798. doi: 10.1038/ncomms4798. [DOI] [PubMed] [Google Scholar]
- 37.Baker M. Genomics: Genomes in three dimensions. Nature. 2011;470:289–294. doi: 10.1038/470289a. [DOI] [PubMed] [Google Scholar]
- 38.Trinkle-Mulcahy L., Lamond A.I. Toward a high-resolution view of nuclear dynamics. Science. 2007;318:1402–1407. doi: 10.1126/science.1142033. [DOI] [PubMed] [Google Scholar]
- 39.Boisvert F.-M., van Koningsbruggen S., Lamond A.I. The multifunctional nucleolus. Nat. Rev. Mol. Cell Biol. 2007;8:574–585. doi: 10.1038/nrm2184. [DOI] [PubMed] [Google Scholar]
- 40.Lanctot C., Cheutin T., Cremer T. Dynamic genome architecture in the nuclear space: regulation of gene expression in three dimensions. Nat. Rev. Genet. 2007;8:104–115. doi: 10.1038/nrg2041. [DOI] [PubMed] [Google Scholar]
- 41.Cremer T., Cremer C. Chromosome territories, nuclear architecture and gene regulation in mammalian cells. Nat. Rev. Genet. 2001;2:292–301. doi: 10.1038/35066075. [DOI] [PubMed] [Google Scholar]
- 42.Cremer T., Cremer M. Chromosome territories. Cold Spring Harb. Perspect. Biol. 2010;2:a003889. doi: 10.1101/cshperspect.a003889. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 43.Hernandez-Verdun D., Bouteille M., Ringertz N.R. Fine structure of nucleoli in micronucleated cells. Exp. Cell Res. 1979;124:223. doi: 10.1016/0014-4827(79)90198-8. [DOI] [PubMed] [Google Scholar]
- 44.Chen C.-C., Miao J., Lee T.K. Application of optimization technique to noncrystalline x-ray diffraction microscopy: guided hybrid input-output method. Phys. Rev. B. 2007;76:064113. [Google Scholar]
- 45.Song C., Ramunno-Johnson D., Miao J. Phase retrieval from exactly oversampled diffraction intensity through deconvolution. Phys. Rev. B. 2007;75:012102. [Google Scholar]
- 46.Fienup J.R. Reconstruction of an object from the modulus of its Fourier transform. Opt. Lett. 1978;3:27–29. doi: 10.1364/ol.3.000027. [DOI] [PubMed] [Google Scholar]
- 47.Miao J., Kirz J., Sayre D. The oversampling phasing method. Acta Crystallogr. D Biol. Crystallogr. 2000;56:1312–1315. doi: 10.1107/s0907444900008970. [DOI] [PubMed] [Google Scholar]
- 48.Xu R., Salha S., Miao J. Coherent diffraction microscopy at SPring-8: instrumentation, data acquisition and data analysis. J. Synchrotron Radiat. 2011;18:293–298. doi: 10.1107/S0909049510051733. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 49.Nam D., Park J., Song C. Development of an adaptable coherent x-ray diffraction microscope with the emphasis on imaging hydrated specimens. Rev. Sci. Instrum. 2013;84:113702. doi: 10.1063/1.4828656. [DOI] [PubMed] [Google Scholar]
- 50.Miao J., Nishino Y., Ishikawa T. Quantitative image reconstruction of GaN quantum dots from oversampled diffraction intensities alone. Phys. Rev. Lett. 2005;95:085503. doi: 10.1103/PhysRevLett.95.085503. [DOI] [PubMed] [Google Scholar]
- 51.Chen C.-C., Zhu C., Miao J. Three-dimensional imaging of dislocations in a nanoparticle at atomic resolution. Nature. 2013;496:74–77. doi: 10.1038/nature12009. [DOI] [PubMed] [Google Scholar]
- 52.Kak A.C., Slaney M. SIAM; New York: 1988. Principles of Computerized Tomographic Imaging. [Google Scholar]
- 53.Miao J., Orster F., Levi O. Equally sloped tomography with oversampling reconstruction. Phys. Rev. B. 2005;72:052103. [Google Scholar]
- 54.Chen C.-C., Miao J., Lee T.K. Tomographic image alignment in three-dimensional coherent diffraction microscopy. Phys. Rev. B. 2009;79:052102. [Google Scholar]
- 55.Lee E., Fahimian B.P., Miao J. Radiation dose reduction and image enhancement in biological imaging through equally-sloped tomography. J. Struct. Biol. 2008;164:221–227. doi: 10.1016/j.jsb.2008.07.011. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 56.Benjamin P.F., Yu M., Jianwei M. Low-dose x-ray phase-contrast and absorption CT using equally sloped tomography. Phys. Med. Biol. 2010;55:5383. doi: 10.1088/0031-9155/55/18/008. [DOI] [PubMed] [Google Scholar]
- 57.Zhao Y., Brun E., Bravin A. High-resolution, low-dose phase contrast X-ray tomography for 3D diagnosis of human breast cancers. Proc. Natl. Acad. Sci. USA. 2012;109:18290–18294. doi: 10.1073/pnas.1204460109. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 58.Svergun D.I., Koch M.H.J. Small-angle scattering studies of biological macromolecules in solution. Rep. Prog. Phys. 2003;66:1735. doi: 10.1017/s0033583503003871. [DOI] [PubMed] [Google Scholar]
- 59.Németh A., Längst G. Genome organization in and around the nucleolus. Trends Genet. 2011;27:149–156. doi: 10.1016/j.tig.2011.01.002. [DOI] [PubMed] [Google Scholar]
- 60.Pederson T. The nucleolus. Cold Spring Harb. Perspect. Biol. 2011;3:a000638. doi: 10.1101/cshperspect.a000638. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 61.Hernandez-Verdun D. Nucleolus: from structure to dynamics. Histochem. Cell Biol. 2006;125:127–137. doi: 10.1007/s00418-005-0046-4. [DOI] [PubMed] [Google Scholar]
- 62.Goessens G. Nucleolar structure. In: Bourne G.H., Danielli J.F., editors. International Review of Cytology. Academic Press; Orlando, FL: 1984. p. 107. [Google Scholar]
- 63.Handwerger K.E., Cordero J.A., Gall J.G. Cajal bodies, nucleoli, and speckles in the xenopus oocyte nucleus have a low-density, sponge-like structure. Mol. Biol. Cell. 2005;16:202–211. doi: 10.1091/mbc.E04-08-0742. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 64.Howells M.R., Beetz T., Starodub D. An assessment of the resolution limitation due to radiation-damage in X-ray diffraction microscopy. J. Electron Spectrosc. 2009;170:4–12. doi: 10.1016/j.elspec.2008.10.008. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 65.Huang X., Nelson J., Jacobsen C. Soft x-ray diffraction microscopy of a frozen hydrated yeast cell. Phys. Rev. Lett. 2009;103:198101. doi: 10.1103/PhysRevLett.103.198101. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 66.Lima E., Wiegart L., Madsen A. Cryogenic x-ray diffraction microscopy for biological samples. Phys. Rev. Lett. 2009;103:198102. doi: 10.1103/PhysRevLett.103.198102. [DOI] [PubMed] [Google Scholar]
- 67.Nakasako M., Takayama Y., Hoshi T. KOTOBUKI-1 apparatus for cryogenic coherent X-ray diffraction imaging. Rev. Sci. Instrum. 2013;84:093705–093711. doi: 10.1063/1.4822123. [DOI] [PubMed] [Google Scholar]
Associated Data
This section collects any data citations, data availability statements, or supplementary materials included in this article.