# Lensless Tomographic Imaging of Near Surface Structures of Frozen Hydrated Malaria-Infected Human Erythrocytes by Coherent X-Ray Diffraction Microscopy

## Abstract

Lensless, coherent X-ray diffraction microscopy has been drawing considerable attentions for tomographic imaging of whole human cells. In this study, we performed cryogenic coherent X-ray diffraction imaging of human erythrocytes with and without malaria infection. To shed light on structural features near the surface, “ghost cells” were prepared by the removal of cytoplasm. From two-dimensional images, we found that the surface of erythrocytes after 32 h of infection became much rougher compared to that of healthy, uninfected erythrocytes. The Gaussian roughness of an infected erythrocyte surface (69 nm) is about two times larger than that of an uninfected one (31 nm), reflecting the formation of protein knobs on infected erythrocyte surfaces. Three-dimensional tomography further enables to obtain images of the whole cells with no remarkable radiation damage, whose accuracy was estimated using phase retrieval transfer functions to be as good as 64 nm for uninfected and 80 nm for infected erythrocytes, respectively. Future improvements in phase retrieval algorithm, increase in degree of coherence, and higher flux in combination with complementary X-ray fluorescence are necessary to gain both structural and chemical details of mesoscopic architectures, such as cytoskeletons, membraneous structures, and protein complexes, in frozen hydrated human cells, especially under diseased states.

## Introduction

During the past decades, considerable efforts have been directed toward the development of label-free, high spatial resolution X-ray imaging methods. X-ray microscopy is particularly attractive for investigating biological specimens since it would not be limited by sample thickness (~0.5 µm), a problem regularly encountered by classical transmission electron microscopy1. Recently, soft X-ray microscopy has been applied to visualize internal structures of entire cells without the need of sectioning, staining, and subsequent three-dimensional reconstruction2,3. This enables one to obtain images with a spatial resolution of as good as 40 to 60 nm4. However, in spite of recent advances, these approaches are limited by the X-ray optics that is based on Fresnel zone plates. A typical challenge in X-ray transmission imaging is the poor lens efficiency (<22%) which can be overcome by the use of high doses. However, the radiation with a high dose often causes radiation damage to biological specimens, although there are several ways to circumvent this problem, e.g., by cryo-fixation and plung- freezing of the hydrated sample in liquid ethane5.

Recently, lensless, coherent X-ray diffraction imaging (CXDI) has been developed as an alternative method6,7. The approach is based on the phase contrast mechanism and shows a better dose efficiency compared to lens-based soft X-ray microscopy5. Here, an isolated sample, typically a few µm in size, is fully illuminated with a coherent beam (a plane wave illumination), and the intensity of diffracted beam is collected in the far-field regime. When the diffraction pattern is sampled finer than the Nyquist frequency, an iterative algorithm can be applied to retrieve the missing phases so that the real space image can be obtained by simple Fourier transformation8,9. This lensless imaging with a plane wave illumination allows imaging with a high spatial resolution, because the image quality is not deteriorated with the variation of sample positions (<500 nm). Following the first application of CXDI to amorphous samples10, this interesting technique has been used to visualize various biological specimens, ranging from dried E-coli11 and yeast12 to frozen hydrated D. radiodurans bacteria13,14, yeast cell5 and Neospora caninum 15. The application of tomographic coherent diffraction imaging was firstly demonstrated for dried human chromosomes16 and yeast cells17, but the experiments with dried samples suffered from substantial radiation damage. The reduction of radiation damage by cryo-fixation allowed for the extension of three-dimensional CXDI to microorganisms15. The implementation of ptychographic imaging further widened the scope of CXDI, now allowing objects larger than the beam size to be imaged14,18. Although ptychographic X-ray tomography is very sensitive to the sample position instabilities, recent development shows that this problem can be mitigated and spatial resolution ~18 nm can be achieved for biological specimens19.

In this study, we report the two- and three-dimensional coherent X-ray diffraction imaging of frozen hydrated human erythrocytes with and without infection by the human malaria parasite Plasmodium falciparum. P. falciparum is the most virulent form among the five Plasmodium species that can infect humans, being responsible for an estimated 429,000 deaths in 2015 alone20. The virulence of P. falciparum is attributed to the intra-erythrocytic developmental stages of the parasite and the ability of parasitized red blood cells to sequester in the deep vascular bed of inner organs, which, in turn, can lead to impaired tissue perfusion, hypoxia and inflammatory reactions21. Cytoadhesion is mediated by parasite-encoded immune-variant adhesins presented on the surface of the infected host cell in electron-dense protrusions, termed knobs22. Knobs elevate the adhesins above the surface and are critical for cytoadherence under flow23.

To date, there have been several attempts to visualize the internal structures of malaria-infected erythrocytes. Dubar et al.24 used a combination of phase imaging and X-ray fluorescence to localize hemozoin, a byproduct of hemoglobin degradation by the parasite, at sub-µm resolution in chemically fixed P. falciparum-infected erythrocytes before and after treatment with anti-malarial drugs. Jones et al.25 applied coherent diffraction tomography to visualize parasite compartments in chemically fixed, infected erythrocytes. Although a resolution of 70 nm was achieved, the endogenous topographic profiles of protein knobs could not be detected due to the irreversible denaturing caused by chemical fixation. In this study, we prepared so-called “ghost” cells (which are devoid of cytoplasm) by osmotic lysis and resealing, and captured the supramolecular architecture present on the cell surface by coherent X-ray diffraction imaging after cryo-fixation of the specimen in liquid ethane. Cryo-fixation enabled us to image the frozen hydrated cells close to their native state, while minimizing the radiation damage. For comparison, we also performed the coherent diffraction imaging of healthy, uninfected human erythrocyte ghosts, and discussed the spatial resolution for two-dimensional projection and three-dimensional tomography of uninfected and infected human erythrocytes.

## Methods

### Cell Culture

All of the experiments involving the use of human erythrocytes were approved by the Ethics Committee of the Medical Faculty, University of Heidelberg, Germany and the French Ministry of Research & Higher Education. The experiments were performed after obtaining informed consent from all voluntary donors in accordance with the relevant guidelines and regulations. P. falciparum clone FCR3CSA was derived from the clonal line FCR3 (Gambia strain), possessing a capability to bind to chondroitin sulfate A (CSA)26. The selection of FCR3CSA parasites with a high affinity toward CSA was performed by repeated selection (panning) of infected erythrocytes on CHO-K1 cells27. P. falciparum FCR3 strains were cultivated according to Trager et al.28 with A+ human erythrocytes supplemented with 10% human serum (Blood Bank IKTZ, Heidelberg), 10 mM hypoxanthine and 4 µg/ml gentamicin (Sigma, Neu-Ulm, Germany).

The cultures were synchronized29 and routinely selected by gelatin flotation to harvest knob-displaying parasites30. Parasitized erythrocytes (32 h post invasion) were enriched by using a magnetic column (Miltenyi Biotec, Auburn, USA) and achieved over 85% parasitaemias31.

### Sample Preparation

Erythocyte “ghosts” (cells after the removal of cytoplasm) were prepared from uninfected and P-falciparum-infected erythrocytes by osmotic lysis according to the modified preparation by Schwoch et al.32. First, a 40 ml portion of phosphate buffered saline (PBS) with 5 mM Na2HPO4, 150 mM NaCl and pH 7.4 was added to a 9 ml portion of blood. The suspension was centrifuged at 4000 g for 10 min at room temperature, and the supernatant was removed. This washing procedure was carried out three times, and a 40 ml portion of lysis buffer (5 mM Na2HPO4 without saline, pH 7.4) was added per 1 ml of sedimented erythrocytes to lyze the cells for 10 min at 0 °C. For resealing, NaCl was added to reach the final concentration of 2 mM NaCl, and the suspension was centrifuged at 4 °C for 30 min (15000 g). Finally, the fluffy pallets (erythrocyte ghosts) were washed three times with PBS. The quality of erythrocyte ghosts was carefully checked by immuno-fluorescence staining with the specific antibody to the extracellular domain of glycophorin C and the antibody specific to the cytoplasmic domain of band III (see Supplementary Fig. S1).

### Cryo-Fixation of Samples

The suspension of erythrocyte ghosts was trapped in a cryo-loop with a diameter ranging from 0.025 to 1.00 mm (Fig. 1a), and the excess water was dried in air for 30 s. To avoid the formation of crystalline ice that causes large background signals, 10 vol% of glycerol was added to the erythrocyte ghost suspension prior to plunging. Furthermore, to achieve a cooling rate faster than 106 K/s, the cryo-loop (Hampton Research, USA) was plunged into liquid ethane. After the cryo-fixation the sample was placed on a sample holder under N2 cryo-stream to avoid the crystalline ice formation by condensation of water vapor (Fig. 1a).

### Coherent Diffraction Imaging

CXDI was performed at the ID10 beam line of the European Synchrotron Radiation Facility (ESRF, Grenoble, France). The cryo-fixed samples were mounted on the sample holder that possesses three translational and one rotational degrees of freedom. The sample was aligned in the beam using a mesh scan. During all the measurements the sample was kept under N2 cryo-stream at 100 K (Fig. 1b). The sample was illuminated with a coherent X-ray beam (10 µm × 10 µm, E = 7 keV), and the diffraction patterns were recorded with the two dimensional MAXIPIX 2 × 2 chip detector (516 × 516 pixels with a pixel size of 55 × 55 µm33.

For two-dimensional image reconstruction, the sample was illuminated for 300 s. The primary data processing, phase retrieval (see Method S2) and real space image reconstruction were performed with an in-house software. To get information on the 3D structure of the cells the samples were rotated in the horizontal plane covering −54 to +54° with a step-angle of 2° for uninfected cells and covering −60 to +60° with 1° steps for infected cells. The real space images were obtained from averaging 28 reconstructions using an iterative phase retrieval procedure15. The density distribution and total radiation dose were estimated following the procedure described in a previous account15. The experimental parameters for imaging are summarized in Table 1.

## Results

Figure 2a depicts optical phase contrast images of a healthy, uninfected human erythrocyte before and after osmotic lysis. Prior to hypotonic lysis (Fig. 2a1), the erythrocyte had its natural discoidal shape with an apparent diameter of ~7 µm. After lysis and resealing, the erythrocyte became spherical with a diameter of ~4 µm (Fig. 2a2)32,34. As depicted in Fig. 2b, erythrocytes undergo significant morphological changes when they are infected with P. falciparum. 32 h post invasion, the outer surface of the parasitized erythrocyte became rougher (Fig. 2b1), and a parasite with its vacuole membrane was clearly visible. The rough, non-circular contour even after the removal of cytoplasm (Fig. 2b2) can be attributed to parasite proteins and membranous structures, such as knobs, that are inserted into the erythrocyte plasma membrane and anchored to the membrane skeleton of the host cell35. We confirmed the maintenance of the original membrane orientation by immuno-fluorescence staining with anti-glycophorin (extracellular domain) and anti-band III (cytoplasmic domain) antisera, as presented in Supplementary Fig. S1.

Figure 3a1 represents the diffraction pattern from an uninfected erythrocyte ghost held in a cryo-loop. The recorded speckle pattern is concentric indicating a symmetric object in real space. Indeed, the real space image reconstructed from the speckle pattern (Fig. 3a2) indicates that the outer surface of a healthy, uninfected erythrocyte ghost is very smooth. Moreover, the electron density projected in two-dimensional space was more homogeneous, showing poorer characteristic features compared to that of an infected erythrocyte. In contrast, the diffraction pattern of an erythrocyte infected with P. falciparum, after the hypotonic lysis and resealing, exhibited distinct features in addition to the concentric speckles pattern (Fig. 3b1). The reconstructed real space image of the infected ghost (Fig. 3b2) shows that the cell surface became much rougher compared to that of an uninfected erythrocyte, which can be attributed to the formation of “knobs” on the cell surface. The structural features possessing a distinctly higher and more heterogeneous electron density can be attributed to the remaining parasite’s membranous structures inside the cell. Previous studies have shown that Maurer’s clefts and, possibly, fragments of the parasitophorous vacuolar membrane (which separates the parasite from the erythrocyte cytoplasm) remain attached to erythrocyte ghosts and, thus might contribute to the heterogeneous electron density35. Maurer’s clefts are membrane profiles of parasite origin within the cytoplasm of the host cell. They serve as an intermediary secretory compartment for parasite-encoded proteins en route to the host cell surface36.

Figure 3c represents the radial distance from the center of mass to the periphery plotted in polar coordinates for uninfected (blue) and infected (red) erythrocytes. The Gaussian roughness from the contour of an uninfected erythrocyte is σ = 31 nm, while an infected erythrocyte exhibits a distinctly larger roughness, σ = 69 nm. Such an increase in the surface roughness might be attributed to the increase in the surface density of protein knobs according to the development of parasites37. Moreover, it has been reported that the protein knob density is highly heterogeneous between different parasite strains37. For P. falciparum FCR3 strain used in this study, the knob densities on erythrocytes after ~30 h of infection have been measured by atomic force microscopy in a dry state, showing a large deviation from 2–437 to 5–15 knobs per 1 µm2 38. As the surface topography images for P. falciparum FCR3 strain are not available in the literature, we compared our results with the data calculated from the previously presented scanning electron microscopy (SEM) image of a dried erythrocyte in the comparable developmental stage of a parasite, σ = 65 nm (see Supplementary Fig. S3)39. CXDI and SEM images are both projected to two-dimensional planes, and the Gaussian roughness was calculated from the contour of each image. The results suggest that the topographic features of an infected erythrocyte captured by CXDI can be attributed to the protein knobs expressed on the surface of infected erythrocytes. However, the comparison of the roughness calculated from the projected CXDI image of a frozen-hydrated cell to the one calculated from an SEM image of a dried cell should be taken with a caution. Although the imaging of near surface topography of cells without denaturing still remains as a technical challenge, the obtained results show a potential of CXDI for imaging human cells under frozen-hydrated conditions.

The experimental spatial resolution for the two-dimensional reconstruction was estimated, following previous accounts5,15. For this purpose, we analyzed intensity line profiles of the ghost cells. Some well visible features with a distinct difference in phase shift of ~0.02 [rad], were used to estimate the spatial resolution of the reconstructed images. Line scans exhibited abrupt changes in the phase shift over 2 detector pixels, yielding the lateral resolution of Δx ≥ 72 nm (see Supplementary Figs S4 and S5).

Since no radiation damage to the frozen hydrated erythrocyte ghosts could be detected, we further performed the three-dimensional, whole-cell tomography. The resulting three-dimensional iso-surface rendering of uninfected and infected erythrocyte ghosts is presented in Fig. 4a1 and b1, respectively. Both uninfected and infected erythrocyte ghosts exhibited some foreign objects on their cell membrane surfaces; most of them were spherical, while only a few had facets. The origin of the spherical objects can be attributed to vesicles formed during ghost preparation34, while the object with facets might coincide with salt crystals from the buffer. It should be noted that it is non-trivial to define the cell surface in the presence of such foreign objects. Since the manual removal of foreign objects often creates artifacts, we refrained from the calculation of surface roughness from the 3D tomograms.

Unlike projected two-dimensional images, three-dimensional tomograms allow features from the internal structure of the cells to be captured. Figure 4a2 and b2 show selected slices through the equatorial plane of uninfected and infected ghosts, respectively. The slice from an uninfected erythrocyte ghost (Fig. 4a2) suggests the presence of objects with a higher electron density near the membrane (ρ ~ 0.5 e/Å3), which can be attributed to the remaining spectrin cytoskeleton34. The electron density inside the uninfected erythrocyte ghost is mostly smaller than 0.5 e/Å3 and large fraction of internal volume reaches nearly the value of water (i.e. ice) ρ = 0.34 e/Å3. The remaining difference in electron density in the middle of the cell can be attributed to the remaining hemoglobin after the ghost preparation32. The electron density inside an infected erythrocyte ghost (Fig. 4b2) seems more heterogeneous (ρ ~ 0.45–0.55 e/Å3) compared to that in the uninfected ghost erythrocyte (Fig. 4a2), and the observed differences in the electron densities are related to the cell characteristics and cannot be explained by the limited scanning range (±54° against ±60°). The electron density inside an infected erythrocyte ghost is well above the electron density of water, suggesting the presence of internal structures with a higher electron density (Fig. 4b1, inset). Although it was not possible to capture characteristic structural features in detail, they might be attributed to the remaining membranous structures formed by P. falciparum, such as Maurer’s clefts40. As shown in Fig. 3a1 and b1, the signal intensity from the central speckles, which is necessary to calculate the absolute electron density, is blocked by the beam stop but this information can be recovered by the phase retrieval algorithm and used for density estimation.

Following the same procedure as was used for two-dimensional projections (see Supplementary Fig. S2), the spatial resolution of three-dimensional tomography was assessed from the electron density line profiles, yielding an apparent resolution of Δx pixel(uninfected) = 96 nm for uninfected erythrocyte ghosts (Fig. 5a1). As an alternative and a more quantitative measure of the resolution, we calculated the ratio between Fourier amplitude of the reconstructed image A(f) and square root of the experimentally measured intensity Int(f) as a function of frequency f, called phase retrieval transfer function (PRTF)41,42:

$$PRTF(f)=\frac{{\sum }_{f=const}A(f)}{{\sum }_{f=const}\sqrt{Int(f)}}.$$
(1)

PRTF = 1 coincides with the perfect matching, and the effective resolution is defined at the threshold PRTF = 0.5. Figure 5a2 represents the PRTF of an uninfected erythrocyte. As presented in Fig. 5, PRTF of an uninfected erythrocyte (blue) decreases according to the increase in spatial frequency, crossing 0.5 at around half-period resolution of Δx half(uninfected) = 64 nm. For comparative reasons, the theoretical modulation transfer function (MTF, red) is plotted in the same graph. Here the MTF is defined as:

$${MTF}(f)=\frac{\lambda {L}_{{SD}}}{{l}_{{pix}}{\rm{\Delta }}{x}_{{half}}}$$
(2)

where λ is the wavelength, L SD the sample-detector distance, l pix the pixel size, and ∆x half the half-period resolution. Figure 5b1 and b2 show the line scan analyses and the PRTF and MTF of an infected erythrocyte, yielding the slightly poorer lateral resolutions of Δx pixel(infected) = 135 nm and Δx half(infected) = 80 nm. The corresponding data set from two-dimensional projections is presented in Supplementary Fig. S6.

Note that there is a difference between the resolution estimated from the line scan analysis and that estimated from the PRTF analysis. As the line scan is performed at a certain position in the image, e.g. the interface between cell and ice matrix, it is a local measure of the resolution. In contrast, the PRTF is calculated over the entire cell volume in 3D. However, the resolution of the reconstructed 3D image from the PRTF is anisotropic due to the limited angular range covered39. The resolution is higher in the direction perpendicular to the incoming beam and lower in the direction parallel to the beam. In our analysis, the PRTF yields the angular-averaged (isotropic) resolution of the entire image and thus it can deviate from the resolution obtained by the line scan analysis.

## Discussion

It is noteworthy that the resolutions we obtained for the frozen hydrated erythrocytes in this study are comparable to the ones reported for chemically fixed erythrocytes25, and the use of coherent diffraction imaging of frozen hydrated cells offers a unique advantage to capture the distinct roughening of the cell surfaces and the confinement of high electron density regions in the proximity of the erythrocyte plasma membrane. Although the spatial resolution needs further improvement, our data suggest that the lensless, coherent X-ray diffraction imaging of the whole cell under frozen hydrated conditions is a promising strategy for the label-free visualization of supramolecular architectures on and immediately below the plasma membrane, such as knobs and Maurer’s clefts, as demonstrated for P. falciparum-infected erythrocytes. Lensless, coherent X-ray diffraction imaging might further resolve parasite-induced changes in host cell membrane skeleton and how certain structural haemoglobin abnormalities interfere with this process43. Further combination with X-ray fluorescence microscopy would offer unique advantages toward the structural and chemical imaging inside biological cells19,24, which can be considered as another class of correlative imaging platforms based on X-ray.

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## Acknowledgements

We thank ESRF for the synchrotron beam time and F. Frischknecht for helpful comments. M.T., Y.C., and F.Z. thank A. Madsen, P. Cloetens and M. Howells for insightful comments and J. Kieffer for improving the reconstruction program. V.F. and M.T. thank S. Becker-Fujita and R. Schröder for the introduction to cryo-fixation and helpful comments. This work was supported by SFB 1129 P3 (M.L. and M.T.), German Excellence Initiative Program (EcTop 4), and JSPS (Grant No. 17H00855 to M.T., and 26800223 and 16K05515 to A.Y.). M.L. and M.T. are the investigators of the Cluster of Excellence “CellNetworks”.

## Author information

Authors

### Contributions

M.T. and M.L. designed the research. H.R., S.K., and M.L. prepared and characterized the blood samples. V.F., Y.C., A.S.B., A.Y., B.F., F.F.R., F.Z., and M.T. performed diffraction imaging. V.F., B.F., W.A., Y.C., F.Z. analyzed the data. V.F., Y.C., B.F., M.L., F.Z. and M.T. wrote the paper.

### Corresponding authors

Correspondence to Yuriy Chushkin or Motomu Tanaka.

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Frank, V., Chushkin, Y., Fröhlich, B. et al. Lensless Tomographic Imaging of Near Surface Structures of Frozen Hydrated Malaria-Infected Human Erythrocytes by Coherent X-Ray Diffraction Microscopy. Sci Rep 7, 14081 (2017). https://doi.org/10.1038/s41598-017-14586-4

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