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Abstract
Soft x-ray microscopy (SXM) is a minimally invasive technique for single-cell high-resolution imaging as well as the visualization of intracellular distributions of light elements such as carbon, nitrogen, and oxygen. We used SXM to observe photosynthesis and nitrogen fixation in the filamentous cyanobacterium Anabaena sp. PCC 7120, which can form heterocysts during nitrogen starvation. Statistical and spectroscopic analyses from SXM images around the K-absorption edge of nitrogen revealed a significant difference in the carbon-to-nitrogen (C/N) ratio between vegetative cells and heterocysts. Application of this analysis to soft x-ray images of Anabaena sp. PCC 7120 revealed inhomogenous C/N ratios in the cells. Furthermore, soft x-ray tomography of Anabaena sp. PCC 7120 revealed differing cellular C/N ratios, indicating different carbon and nitrogen distributions between vegetative cells and heterocysts in three dimensions.
X-ray microscopes that use soft x-rays as an illumination source are promising tools for microscopic observation in the material and biological sciences (Kirz et al., 1995; Attwood, 1999; McDermott et al., 2009; Chapman and Nugent, 2010; Sakdinawat and Attwood, 2010; Chen et al., 2016). X-ray photons induce the electronic transition of inner-shell core electrons of specific atoms depending on the wavelength. The wavelength range from 2.4 to 4 nm of soft x-rays is called the water window, where the absorbance of water is much less than the C1s, N1s and O 1s inner-shell absorbance of biomolecules. Therefore, such soft x-rays are suitable for imaging hydrated cells in near-native conditions.
Soft x-ray microscopy (SXM) is advantageous over conventional optical or electron microscopy for several reasons. It provides greater spatial resolution (better than 200 nm) because of the shorter x-ray wavelength of 0.1 to 10 nm, and its penetration power (typically 10 μm) is greater than that of electron microscopy (less than 1 μm). Therefore, cellular structures such as organelles can be visualized in vivo or in situ by SXM in the water window without any troublesome preparation. In addition, autofluorescence, which can cause unwanted background noise during fluorescence imaging in the visible region, does not occur in the soft x-ray region because only light with soft x-ray wavelengths is imaged to the x-ray CCD camera with x-ray optical elements. Researchers who use SXM frequently highlight its technical advantages, such as higher spatial resolution, but its biological applications also are valuable. In some cases, dried cells are kept in a vacuum chamber during SXM observation, although there is a potential applicability for biological observations under physiological conditions with conventional SXM.
Filamentous cyanobacteria are multicellular oxygenic phototrophs, some of which are composed of two morphologically and physiologically distinct cell types: vegetative cells and heterocysts when nitrogen is limited. When these two cell types are connected in a filament, they mutually exchange metabolites for their growth and survival (Kumar et al., 2010; Muro-Pastor and Hess, 2012). Photosynthetic vegetative cells provide neighboring heterocysts with sugars and organic acids, while the nitrogen-fixing heterocysts transfer amino acids to vegetative cells (Popa et al., 2007). Metabolites are transported between cells through a cellular junction (Kumar et al., 2010; Muro-Pastor and Hess, 2012). These processes lead to a lower C/N ratio in vegetative cells and a homogenous distribution of carbon and nitrogen in the filaments of Anabaena sp. PCC 7120.
Heterocyst differentiation is tightly regulated by the intracellular signaling system (Wei et al., 1994; Böhme, 1998; Yoon and Golden, 1998; Adams, 2000; Golden and Yoon, 2003; Zhang et al., 2006; Mullineaux et al., 2008; Flores and Herrero, 2010; Muro-Pastor and Hess, 2012; Omairi-Nasser et al., 2015; Muñoz-García and Ares, 2016). The primary cellular signal is the accumulation of 2-oxoglutarate produced by the deamination of Glu (Laurent et al., 2005; Zhao et al., 2010), which is the main cause of the cellular C/N ratio increase (Muro-Pastor and Hess, 2012).
Many microscopic studies of heterocystous cyanobacteria have detailed the morphological changes and physiological functions during heterocyst differentiation. Kumazaki et al. (2013) investigated the dynamics of the thylakoid membrane during heterocyst differentiation in Anabaena variabilis using fluorescence and absorption microspectroscopy. Fluorescence microscopy with GFP-labeled HetR was used to reveal cell lineage dependency (Asai et al., 2009) as well as temporal and spatial fluctuations in key proteins (Corrales-Guerrero et al., 2015) during heterocyst differentiation. In addition, the gram-negative cell wall structures of heterocysts also were investigated (Kangatharalingam et al., 1992; Hoiczyk and Hansel, 2000; Flores et al., 2006; Nicolaisen et al., 2009; Magnuson and Cardona, 2016). Furthermore, intercellular dynamics, such as cell-to-cell communication, revealed that channels with a diameter of less than 20 nm enabled the transport of photosynthetic products from vegetative cells to heterocysts (Omairi-Nasser et al., 2014, 2015; Flores et al., 2016). Electron microscopy revealed detailed structures of cell walls and channels. Energy-filtered transmission electron microscopy imaging is a powerful technique to map out the element distribution in the cell. However, since cells are sliced for observation, it is not applicable to in vivo investigations. Because the techniques mentioned above cannot identify the elements in the cell, no microscopic studies have shown either an increase in C/N ratio or the accumulation of 2-oxoglutarate during heterocyst differentiation in a single cell. The threshold that triggers the signaling cascade has remained unclear, and differentiating a potential heterocyst within a living vegetative cell population was not possible.
The C/N ratio is one characteristic of biological samples that reflects physiological and metabolic activities (Redfield, 1958; Geider and La Roche, 2002). For example, the ratio affects growth and cell differentiation in Arabidopsis (Arabidopsis thaliana). To estimate the cellular C/N ratio, combustion analysis often is used (Lee and Fuhrman, 1987; Fukuda et al., 1998), which quantifies amounts of CO2 and N2 by burning dried cells or have controlled the concentration of sugar (or CO2) and ammonia in a culture (Maekawa et al., 2014). However, combustion is destructive and requires a large amount of sample to obtain reliable estimates; it is not practical for single-cell experiments.
In this study, we describe the use of SXM to derive the single-cell C/N ratio through spectroscopic imaging of nitrogen-starved Anabaena sp. PCC 7120 cells. Spectroscopic and statistical analyses from the absorbance images helped to determine the C/N ratios of both vegetative cells and heterocysts in a single cell in vivo. The cellular C/N ratio was not homogenous, and C and N distributions in vegetative cells and heterocysts were visualized from the soft x-ray images using spectroscopic analysis. Vastly different 3D mappings of subcellular C/N ratio, C, and N distributions also were obtained from vegetative cells and heterocysts.
RESULTS
Soft X-Ray Imaging of Anabaena sp. PCC 7120
Nitrogen-starved cells of Anabaena sp. PCC 7120 were packed tightly between two Si3N4 membranes for SXM. The position and type of each cell in the membranes were determined by optical and fluorescence microscopy (Fig. 1, A and B; see “Materials and Methods”). Heterocysts were identified from the optical images, whereas vegetative cells were observed in fluorescence images because heterocysts lack PSII and do not produce chlorophyll fluorescence (Fig. 1B, cells in the white circle).
Soft x-ray images of Anabaena sp. PCC 7120. A and B, Heterocysts and vegetative cells in Anabaena sp. PCC 7120 observed using optical microscopy (A) and fluorescence microscopy (B). Heterocysts are identified in white circles. C, Photoabsorption cross section around the N1s absorption edge. D and E, Soft x-ray images of Anabaena sp. PCC 7120 observed at a photon energy of 398 eV (D; below the N1s absorption edge) and 416 eV (E; above the N1s absorption edge). Bars = 10 μm (A and B) and 2 μm (D and E).
Photon energies of 398 and 416 eV (below and above the N1s edge) were selected for soft x-ray imaging of Anabaena sp. PCC 7120 (Fig. 1, D and E). According to the photon energy dependence of photoabsorption cross sections of the C and N elements in the soft x-ray region (Henke et al., 1993; Fig. 1C), the C1s absorption edge is at a much lower photon energy (∼285 eV) than that used in this study; the tailing part of the C1s absorption continues around the N1s absorption edge. The N1s absorption profile shows an absorption edge at ∼411 eV; above this threshold, the absorption cross section gradually decreases. The bright-field SXM images were collected with a spatial resolution of 110 nm and a magnification of 600×. The field of view was 21 × 21 μm2 (see “Materials and Methods”). As absorbance of soft x-rays increases, the area of absorbance in the images becomes darker. Since the area of the Si3N4 membrane (250 × 250 μm2) was wide enough to collect transmittance images of both cells and blank areas in the same sample (Supplemental Fig. S1), the transmittance image could be converted to absorbance images of the cells, according to the Lambert-Beer law (see “Materials and Methods”).
Statistical Analysis of Soft X-Ray Absorbances of Anabaena sp. PCC 7120 Cells
The C and N element-specific absorbances of each Anabaena sp. PCC 7120 cell were determined by averaging the absorbances of each cell area on the soft x-ray absorbance images at 398 and 416 eV. A total of 131 vegetative cells and 54 heterocysts were investigated for statistical analysis of the absorbance data and summarized in histograms at photon energies of 398 and 416 eV (Fig. 2, A and B). The results showed clear differences between heterocysts and vegetative cells in both histograms; absorbance was greater in the heterocysts than in vegetative cells at both photon energies. Since the concentrations of C and N elements are the main contributors to cellular absorbance near the N1s region, the greater absorbance at 398 and 416 eV in heterocysts indicated that they had greater cellular C and N content compared with the vegetative cells. The C/N ratios of all cells in a single cell layer also were calculated from area-averaged absorbances at the two photon energies (see “Materials and Methods”; Fig. 2C). Differences were found between heterocysts and vegetative cells for mean value (μ) and variance (σ2) in the histogram of C/N ratios. The μ values for heterocysts and vegetative cells were 2.42 and 4.56, respectively, demonstrating that the C/N ratio of heterocysts was less than that of vegetative cells. The σ2 values were 1.38 and 10.7 for histograms of heterocysts and vegetative cells, respectively. The C/N ratio was as high as 18 for vegetative cells but less than 6 for heterocysts. These results suggest that vegetative cells accumulated less N-containing organic compounds than heterocysts.
Histograms of absorbances and C/N ratios of heterocysts and vegetative cells. A and B, Histograms of absorbances of heterocysts and vegetative cells with photon energies of 398 eV (A) and 416 eV (B). C, Histogram of C/N ratios of heterocysts and vegetative cells. Red and black bars correspond to heterocysts and vegetative cells, respectively. arb., Arbitrary.
Two-Dimensional Mapping of Intracellular C/N Ratio, C, and N Distributions
The same procedure used to convert soft x-ray absorbances to C/N ratios described above was applied to soft x-ray images to visualize C/N ratios in a single cell. A transmittance image collected at 398 eV (Fig. 3A) was converted to a corresponding C/N ratio image (Fig. 3B; Supplemental Fig. S2), which uses color to indicate the C/N ratio. Distributions of the C/N ratio were not uniform in each cell and showed some subcellular localization. Both heterocysts and vegetative cells had C/N ratios greater than 7 near the center of the cell, but this was more obvious in vegetative cells. The distribution pattern in the vegetative cells did not form a smooth circle but instead was amoeboid in shape (Fig. 3B; Supplemental Fig. S2). At the cell periphery, including cell walls, the C/N ratio was approximately 1 to 2 in heterocysts (Fig. 3B; Supplemental Fig. S2); this same area was thick and dense in soft x-ray images at 398 eV (Fig. 3A).
Inhomogenous distributions of C/N ratio and carbon and nitrogen concentrations in the cells. A, Soft x-ray imaging of Anabaena sp. PCC 7120 measured at a photon energy of 398 eV. B, C/N ratio mapping corresponding to the soft x-ray image of A. C and D, Reconstructed reductant carbon (C) and nitrogen (D) concentration distribution corresponding to the soft x-ray image of A. Units in the color bar for A and B are arbitrary units but correspond to pg μm−2 in C and D. Bar in A = 1 μm.
The concentrations of C and N elements also were mapped directly from the transmittance images (see “Materials and Methods”; Fig. 3, C and D; Supplemental Fig. S2). Although the C/N ratio of the heterocysts was low (∼1) and more uniformly distributed than in vegetative cells (Fig. 3B), both C and N concentrations were high in the peripheral region of the cell and had inhomogenous distributions in heterocysts (Fig. 3, C and D; Supplemental Fig. S2). In vegetative cells, the C and N concentrations were less than those in the heterocysts. Carbon was condensed slightly in the peripheral region of the cell. Compared with the relatively uniform distribution of the C at the center of the cell, the N produced an amoeba-shaped inhomogenous distribution (Fig. 3D), similar to the C/N ratio distribution (Fig. 3B).
3D Mapping of Intracellular C/N Ratio Distribution
To visualize the inhomogenous distributions of intracellular C and N, tomographic soft x-ray images and their corresponding element-specific maps of the Anabaena sp. PCC 7120 cells were constructed. The tomographic soft x-ray images were reconstructed by inverse radon transform using 45 pieces of transmittance images of cells at different angles, which were collected by rotating the glass capillary containing the cells (see “Materials and Methods”; Supplemental Fig. S3). The positions and types of cells were determined by optical and fluorescence microscopy (Fig. 4A). The 3D absorbance image of the cyanobacterium and its cross-sectional view with a photon energy of 398 eV were reconstructed (Fig. 4, C and D). The color indicates the absorbance of one voxel of the 3D image (one voxel corresponds to 40 × 40 × 40 nm3). Voxels with an absorbance greater than 0.5 were detected in the peripheral region of heterocyst cells (Fig. 4C). The slice images of these cells also were reconstructed (Supplemental Fig. S4).
3D distribution of C/N and C and N concentrations in the cells in Anabaena sp. PCC 7120. A, Optical and fluorescence images of Anabaena sp. PCC 7120 in the capillary. B, 3D display of a tomographic image of Anabaena sp. PCC 7120 measured at a photon energy of 398 eV. C, Cross-sectional display of the tomographic image of B. D, Cross-sectional display of C/N tomography. E and F, Cross-sectional display of reductant C (E) and N (F) concentration distribution. Units in the color bar for C and D are arbitrary units but correspond to pg μm−3 in E and F. Bars in A = 10 μm.
Using the same framework of the 2D mapping as described above, the tomographic image was converted into a 3D map of the C/N ratio (Fig. 4D). The results showed that the C/N ratio was not distributed homogenously in either heterocysts or vegetative cells and was 2 to 3 times greater at the cell center compared with the peripheral regions. 3D maps of the C and N concentrations also were reconstructed with tomographic images (Fig. 4, E and F), which displayed denser concentrations in the heterocysts than in vegetative cells. C was more homogenously distributed than N in both heterocysts and vegetative cells (Fig. 4E; Supplemental Fig. S4), while N in the heterocysts was localized in the peripheral region, where the cellular membranes were located (Fig. 4F; Supplemental Fig. S4). These 3D distributions of the cellular C and N (Fig. 4, E and F; Supplemental Fig. S4) were similar to and consistent with the observed cellular distributions in the 2D maps (Fig. 3). The subcellular distributions of the C and N elements suggest that both C- and N-containing compounds were dense near the membrane in the heterocysts, while vegetative cells accumulated less N-containing organic compounds in the membranes and outside of the cells.
DISCUSSION
Determination of Cellular C/N Ratios from Soft X-Ray Images
SXM observation of the intact cells of Anabaena sp. PCC 7120 was achieved without any pretreatments (Fig. 1). The collected images allowed for a determination of the cellular C/N ratios in individual cells and related histograms (Fig. 2). While no research had been conducted on the C/N ratio in Anabaena sp. PCC 7120, the closely related Anabaena cylindrica was found to have a C/N ratio of 4.5 to 8 during heterocyst differentiation (Kulasooriya et al., 1972). However, this ratio was estimated using the classic combustion analysis without separating heterocysts and vegetative cells. To compare this ratio with the SXM estimation in this study, an averaged C/N ratio of the N-starved Anabaena sp. PCC 7120 was estimated using the histogram of the cellular C/N ratios (Fig. 2C). Assuming a 1:10 population ratio of heterocysts and vegetative cells, the weighted mean value of the C/N histogram was 4.37, which is very close to the C/N ratio of A. cylindrica. This indicates that our procedure to determine cellular C/N ratio is compatible with the classical combustion method but is more useful because of its applicability to in vivo single-cell analyses.
Difference in C/N Ratio between Heterocysts and Vegetative Cells
In the filaments of Anabaena sp. PCC 7120, heterocyst differentiation is triggered by the accumulation of 2-oxoglutarate in the parental vegetative cells, which is the main determinant of the cellular C/N ratio. Our SXM estimation demonstrated that the µ value was greater in vegetative cells compared with heterocysts (Fig. 2C). In the histograms, distributions at values less than 6 were similar between heterocysts and vegetative cells, while the histogram of vegetative cells had a much greater distribution value than that of heterocysts (maximum values were 18 versus 6, respectively; Fig. 2C). The greater C/N values in the vegetative cells are likely caused by the deprivation of N-containing organic compounds and the accumulation of 2-oxoglutarate. The population of vegetative cells with C/N ratios greater than 6 was 21% in the histogram, similar to the population ratio of heterocysts and vegetative cells in a filament. Therefore, these vegetative cells may be potential or parental cells that are triggered for heterocyst differentiation. These parental cells should be located between two heterocysts that are separated by 10 to 20 vegetative cells in the same filament because of the regulation system with diffusible HetN and PatS. In this study, since the Anabaena sp. PCC 7120 cells were packed densely and did not maintain the filament structure when observed with SXM, the positions of the vegetative cells with high C/N ratios in the filaments could not be identified. Hence, sparse packing to keep cells in contact within the filament is required for visualization of the C/N ratio distribution.
Cell fate during differentiation depends on the concentration of key molecules, time, and the cell’s environment, including its pH and temperature (Zeng et al., 2010). Since the potential in the cell fluctuates, interstate transitions during differentiation can occur stochastically. This fluctuation is frequently called noise and can be used to quantify the cell differentiation process (Raser and O’Shea, 2005; Arias and Hayward, 2006; Süel et al., 2007). Interestingly, Corrales-Guerrero et al. (2015) investigated the noise during cell differentiation in cyanobacteria. They quantified the noise (cell-to-cell fluctuation of the number of HetR) in filamentous Anabaena sp. PCC 7120, with several mutated species to identify key proteins. In that study, the accumulation of 2-oxoglutarate occurred after nitrogen deprivation, and NtcA (which is a receptor of 2-oxoglutarate; Zhao et al., 2010) bound to DNA for the promotion of heterocyst differentiation. Therefore, the C/N ratio in cells also can be considered a key factor in heterocyst differentiation. The noise σ2/µ2 of the C/N ratio was determined to be 0.24 for heterocysts and 0.51 for vegetative cells. Because the noise of the C/N ratio in this study originated from cell-to-cell fluctuation and the heterocysts were finished differentiating, the 2-fold greater value of the noise in the vegetative cells can be regarded as the possibility of cellular division.
The earth mover’s distance (EMD) is a measure of the distance between two probability distributions, and the EMD-based similarity analysis can be used as an effective tool in pattern recognition (Rubner et al., 2000; Corrales-Guerrero et al., 2015), as already applied in several biological studies (Bernas et al., 2006; Eyiyurekli et al., 2008; Corrales-Guerrero et al., 2015; Orlova et al., 2016). Here, we used the EMD to quantify the dissimilarity of the histograms between heterocysts and vegetative cells (see “Materials and Methods”). The EMD values of the histograms of absorbances below and above the N1s threshold between heterocysts and vegetative cells were 0.2 ± 0.07 and 0.064 ± 0.02, respectively, where the ± values indicate sd. However, the EMD value was estimated to be 2.14 ± 0.79 from the histograms of the C/N ratios between heterocyst and vegetative cells, indicating that the C/N ratio is more sensitive to the dissimilarity than the absorbance data. (The sd in the EMD values were estimated by a bootstrap test of 1,000 iterations.)
Subcellular Distributions of C and N in Anabaena sp. PCC 7120
SXM imaging revealed that the subcellular C/N ratio and C and N distributions in heterocysts and vegetative cells of Anabaena sp. PCC 7120 (Figs. 3 and 4) were not uniform in both cell types. In vegetative cells, the center had an amoeboid-like distribution of the C/N ratio (greater than 7) and C concentration, which were greater than those in the peripheral region (Fig. 3). Since vegetative cells have a thylakoid-like inner membrane structure, which is absent in heterocysts, the amoeboid-like distribution suggests an accumulation of C-rich compounds in the cytosol or cytosolic organelle.
In contrast, heterocysts had N localized in the membrane-like peripheral region of the cell (Figs. 3 and 4; Supplemental Fig. S4). Since the C compounds showed similar peripheral localization and a rather uniform distribution of C/N ratio (Fig. 3), the peripheral localization of the N-containing compounds suggests an accumulation of N-containing organic compounds in the heterocyst membrane or its cell wall. The heterocyst is a gram-negative cell, and its cell wall is composed of three layers consisting of (from the inner to the outer membrane) peptidoglycans, glycolipids, and polysaccharides (Fay, 1992; Kumar et al., 2010; Muro-Pastor and Hess, 2012). These compounds contain C, O, and H elements but lack N. Peripheral localization with a high C concentration can be attributed to these N-lacking polymers of the cell wall structure. Based on previous reports using immunoelectron microscopy (Sherman et al., 2000) and energy-filtered transmission electron microscopy images (Koop et al., 2007), the N distribution around the cell wall in heterocysts can be assigned to cyanophycin grana proteins that act as a nitrogen reservoir at the grana membrane.
The cellular structure of 3D images of Anabaena sp. PCC 7120 can be clarified without the need for slicing with a microtome (Fig. 4, B and C). In addition, the elemental distribution of C, N, and the C/N ratio can be visualized in 3D (Fig. 4, D–F; Supplemental Fig. S4). The center of both cell types contained a high C/N ratio with a high concentration of C. In addition, a high C/N ratio occurred at the connection between the heterocyst and vegetative cells, with a greater C distribution and lower N distribution. Cell-to-cell communication between vegetative cells and heterocysts is well known; vegetative cells transport by-products from photosynthesis (such as Suc) to the heterocysts, and heterocysts transport the N-containing compounds (including amino acids) to the vegetative cells (Böhme, 1998; Golden and Yoon, 2003; Zhang et al., 2006; Mullineaux et al., 2008; Flores and Herrero, 2010; Muro-Pastor and Hess, 2012; Omairi-Nasser et al., 2015; Muñoz-García and Ares, 2016). In our research here, although the N amounts were small, the transportation of Suc from vegetative cells to heterocysts was visualized. The C and N distribution images (Fig. 4, D and E; Supplemental Fig. S4) allowed for visualization of the localization of membrane polymers and cyanophycin at the membrane in heterocysts.
We succeeded in packing the cells in the capillary while keeping the filament structures intact during experiments. The capillary diameter used for tomographic data collection narrowed toward the tip end (Fig. 4A). Therefore, the optical path of the soft x-ray, which is proportional to the capillary diameter at each observed position, increases from left to right (Fig. 4A). If it exceeds the penetration depth of the soft x-ray, then it is not possible to image the cell. In our experiments, we observed cells in the SXM, as displayed in Figure 4B. Future research will encompass the design and optimization of the packing material as well as develop techniques to keep cells and filaments intact.
CONCLUSION
SXM images of nitrogen-starved cells of the filamentous cyanobacterium Anabaena sp. PCC 7120 were visualized without staining or other treatments. Application of the Lambert-Beer law to the soft x-ray transmittance images at photon energies below and above the N1s absorption edge produced maps of the C/N ratio and C and N elements in single cells and at subcellular levels in both 2D and 3D. Statistical analyses of the cellular C/N ratio and the C and N contents in the cell revealed that 21% of the vegetative cells had high C/N ratios, indicating that they may differentiate into heterocysts. These element-specific microscopic maps showed that heterocysts accumulated N-containing organic compounds in the peripheral region of the cell. Temporal change in the distribution of the cellular C/N ratio is a potential and promising target for elucidation of the mechanism of heterocyst differentiation. This can be visualized and traced using several heterocyst mutant strains of Anabaena sp. PCC 7120 as well as with artificial triggering using 2-oxoglutarate.
SXM near the N1s absorption edge developed in this study is a powerful method for the observation and analysis of inhomogeneity within cell populations and subcellular structures. Since a high C/N ratio can be used for signatures of high-carbon compounds in the cell, the SXM visualization of the subcellular C/N ratio distribution can be applied to other physiological or cytological studies. Examples of such studies include oil production by microalgae (Suzuki et al., 2013; Khatri et al., 2014; Cornejo-Corona et al., 2016) and the CO2-concentrating processes in the algal pyrenoid (Freemen Rosenzweig et al., 2017) and the cyanobacterial carboxysome (Turmo et al., 2017).
MATERIALS AND METHODS
Bacterial Strain and Culture
Anabaena sp. PCC 7120 was routinely streaked and grown under nitrogen-depleted conditions on agar plates of BG-110 (Rippka et al., 1979). Plates were incubated at 30°C and irradiated by fluorescent lamps at the photosynthetically active radiation of 30 µE m−2 s−1.
Sample Preparation for Soft X-Ray Imaging
Colonies of cell filaments of Anabaena sp. PCC 7120 grown on the BG-110 plate were collected, suspended in pure water, and tightly packed between two silicon nitride membranes (250 μm × 250 μm) with a thickness of 100 nm. The cells of multiple filaments on the same culture plate were used for statistical analyses of SXM images. The absolute position of each cell in the layers was determined by optical and fluorescence microscopy (Nikon Optiphot-2) with a magnification of 200× (Supplemental Fig. S1).
SXM
SXM observations were performed at the full-field transmission SXM beamline (BL-12) at the SR Center of Ritsumeikan University. X-ray energies selected were 398 and 416 eV (above and below the N1s absorption threshold, respectively). The x-ray was monochromatized by chromatic aberration of a Fresnel zone plate using a combination of a condenser Fresnel zone plate and a pinhole with a 20-μm radius. The energy resolution (Ε/ΔΕ) was 200. Samples were imaged with an objective Fresnel zone plate and a back-illuminated CCD camera (C4880-21-24WD; Hamamatsu Photonics). The pixel size and number of pixels of this camera are 24 μm × 24 μm and 512 × 512, respectively. Spatial resolution was 110 nm at a magnification of 600×, estimated from the knife-edge method. Thus, the corresponding area size in the image was 40 × 40 nm2 per 1 × 1 pixel. The field of view was 21 μm × 21 μm. A sample sandwiched between two silicon nitride membranes was held on a sample holder. The sample holder was mounted on a four-axis PC-controlled stage to adjust the microscopic observation in the SXM beamline. Rough alignment of the imaging was done using an optical microscope equipped with the beamline. Next, the soft x-ray imaging was set up, and a final optimal adjustment was conducted with imaging acquisition of the actual target. Exposure time was set to 3 min for the experiments at room temperature.
Soft X-Ray Tomography
3D transmission imaging of the cyanobacterium Anabaena sp. PCC7120 was conducted using a computer tomography method. A fine-tipped glass capillary with an i.d. of about 5 μm was used to hold a filamentous cyanobacterium. The distance from beam stop, which is used to block unwanted x-rays, to the sample is typically less than 1 mm. For tomographic imaging, images of samples rotated from 0° to 180° in the normal plane to the illuminated soft x-ray must be acquired. However, because the size of the Si plate attached to Si3N4 membranes used for 2D imaging restricted the rotational angle within several degrees (5 × 5 mm, a typical size in an SXM study), we instead used a glass capillary to hold the cyanobacteria. The capillary was mounted on a rotational stage to rotate around the capillary axis. Tilt-series images were taken every 4° between 0° and 180°. The exposure time was 3 min per image. Tomographic image acquisition was conducted at two photon energies (398 and 416 eV). Samples were kept cool at a temperature near 165 K with liquid nitrogen to reduce radiation damage during the acquisition time. A tomographic image was reconstructed from 45 tilt-series images with inverse radon transform using MATLAB source code (Supplemental Fig. S3).
Derivation of the C/N Ratio from Soft X-Ray Images
Because the SXM used in this study was full-field bright-field microscopy, the observed images of cells correspond to the transmittance image at a certain soft x-ray photon energy. Transmitted intensity (I or I0), which is the light intensity with or without a cell, respectively, was acquired directly from soft x-ray images. Due to the large size of the Si3N4 membrane used as a sample cell in this study (250 × 250 μm), a blank area exists without a cell, and this image was I0. Transmitted images were converted to the absorbance (A) images of cells according to the Lambert-Beer law: )]
In this study, soft x-rays were used with photon energy below and above N1s k-edge absorption. Around these photon energies, the main contribution to the absorbance from cells are the C and N components. The absorption of O components, including water, was negligible, because the O1s absorption edge is at a far higher photon energy and the absorbance cross section is too low near the N1s edge.
Thus, the total absorbance at a certain photon energy can be defined as follows:where
is absorbance at photon energy
,
and
are absorption cross section and concentration of the i-th element (C or N), respectively, and
is the optical path length that was assumed to be the thickness of cell.
The relationship between absorbance and the C/N concentration ratios was derived from the absorbance at two different wavelengths (), as follows:
where
is the C/N ratio of the cell. The absorption cross sections
of C and N components are listed in Table I.
The atomic photoabsorption cross section, , was obtained from the imaginary part of the atomic scattering factor
using the relation
, where
is the classical electron radius and
is the wavelength. The calculated photoabsorption cross sections were compared with experimental data (Henke et al., 1993). The database of photoabsorption cross sections (https://www.cxro.lbl.gov/) also is available.
Reconstruction of C and N Concentrations
From Equations 1 and 2, the concentrations of C and N can be derived as follows:


Knowing (or estimating) the optical length allows the calculation of C and N concentrations directly from soft x-ray images. However, if the path length is unknown or uncertain, this method is not applicable. Therefore, in this study, instead of Equations 4 and 5, the reductant concentration (density multiplied by path length) was examined using the following equations:


In the 2D images, the dimension of becomes [g m−2], because 2D images are a projection of the accumulated concentration of each element normal to the image plane. For 3D images of C and N concentration, path length
was defined in pixel size from the camera and the dimension defined as [g m−3].
EMD
The EMD quantifies the dissimilarity among objects being compared (Rubner et al., 2000; Corrales-Guerrero et al., 2015). It is based on minimizing the transportation cost of a product from supplier to customer. In this study, we used the EMD to quantify the dissimilarity among the histograms of C/N ratios between heterocysts and vegetative cells. For our case: and
. Here, H and V are the clusters of heterocysts and vegetative cells. hi (vi) and whi (wvi) refer to the value and weight of the i-th bin in the histogram of heterocysts (vegetative cells). Here, we introduce the distance matrix dij and the flow matrix fij to consider the work as described below. This work acts as the minimum cost for the transportation problem between the H and V clusters. dij is the distance (or difference) between hi and vi. fij is related to whi and wvi. Under minimum cost conditions, WORK is defined as below with the clusters
:
This has the following constraints:
Under these conditions, the EMD is defined as below:
In the algorithm, WORK was iteratively calculated by changing the combination of i and j iteratively to get the minimum cost for converting H to V. If the optimum cost was determined, WORK is normalized to get EMD.
Supplemental Data
The following supplemental materials are available.
Supplemental Figure S1. The entire image of Si3N4 membranes packed with cyanobacteria.
Supplemental Figure S2. Soft x-ray images of cyanobacteria.
Supplemental Figure S3. The procedure to get the 3D images of the cells in the cyanobacteria.
Supplemental Figure S4. Slice images from soft x-ray tomography of cyanobacteria.
Acknowledgments
We thank Dr. Yuichi Fujita of Nagoya University for the gift of the nitrogen-fixation active culture of Anabaena sp. PCC 7120.
Footnotes
The author responsible for distribution of materials integral to the findings presented in this article in accordance with the policy described in the Instructions for Authors (www.plantphysiol.org) is: Takahiro Teramoto (tteramo{at}fc.ritsumei.ac.jp).
T.T. and M.Y. performed the majority of the experiments and analyses; C.A., K.T., and T.O. designed and supervised the experiments.
↵1 This study was supported in part by Grants-in-Aid for Scientific Research from the Japan Society for the Promotion of Science (nos. 15H00886, 17H05731 [to C.A.], 23570066, 26102543, 16H00784, 17K19247 [to K.T.], and 16KT0167 [to [T.T.]). This research is partially supported by the Matching Planner Program from Japan Science and Technology Agency (to T.T.).
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- Received December 14, 2017.
- Accepted March 20, 2018.
- Published March 26, 2018.