Abstract
In this work, we optimize the setups and experimental parameters of X-ray phase-contrast computed-tomography for the three-dimensional imaging of the cyto- and myeloarchitecture of cerebral cortex, including both human and murine tissue. We present examples for different optical configurations using state-of-the art synchrotron instruments for holographic tomography, as well as compact laboratory setups for phase-contrast tomography in the direct contrast (edge-enhancement) regime. Apart from unstained and paraffin-embedded tissue, we tested hydrated tissue, as well as heavy metal stained and resin-embedded tissue using two different protocols. Further, we show that the image quality achieved allows to assess the neuropathology of multiple sclerosis in a biopsy sample collected during surgery.
1. Introduction
The human brain is formed by a complex and rapidly interacting network, with information processing within and across specialized subregions [1]. In order to decipher how the brain functions and how function is compromised in different pathological states, structural information is required, covering many length scales. On the macro- and microscale, the cytoarchitecture and myeloarchitecture account for the different types, morphologies, and concentrations of neurons, glial cells and connective fibers, and their connectivity, and is typically assessed by optical microscopy based on histological thin section or cultured tissue slices [2–5]. Optical microscopy in combination with immunohistochemistry constitutes a routine technique of neuropathology and pre-clinical research, for example in neurodegenerative diseases. Small-angle X-ray scattering has also proven to be suitable for studying the myelostructure in murine and human brain tissue [6,7]. On the nanoscale level, neuronal circuits can be probed by modern electron microscopy (EM), in particular serial block face scanning electron microscopy (SBEM) [8,9] or volume-EM by automated transmission-EM (TEM) [10], enabled by advanced heavy metal staining, notably the adapted rOTO-protocols [11–13].
More recently, X-ray phase-contrast computed-tomography (PC-CT) has joined the toolset to study human brain tissue [14–18], as well as small animal models of mammalian brain tissue [19–23]. Similar to conventional CT, PC-CT offers three-dimensional (3d) reconstructions without any need for sectioning, while offering much higher contrast to soft tissues and also resolution, when free-wave propagation is exploited for contrast formation. PC-CT can be implemented both with synchrotron radiation (SR) and compact laboratory sources (µCT). Tissue volumes can be scanned with adjustable field-of-view and resolution. For larger overviews, parallel-beam (PB) illumination is most efficient, scanning entire biopsy punches within minutes [24] at a resolution limited by the detector pixels size (i.e. down to the sub-µm range). Selected subregions can then be probed in cone-beam (CB) geometry down to the sub- nm range, below the diffraction limit of optical microscopy. Here, a resolution given by the half-width of the source spot can be achieved, i.e. at the level of the focused synchrotron radiation. Applications of PC-CT in human brain sample imaging, in particular of unstained formalin-fixed and paraffin-embedded (FFPE) tissues, have recently been demonstrated. Cellular and sub-cellular structural details can be observed in these preparations [25–27]. Further sample preparation techniques for PC-CT of unstained neuronal tissue exist, including formalin-fixed, dehydrated or hydrated tissue in solution or tissue fixed and embedded in paraffin [20,28–30]. In order to create enhanced contrast for small cellular features and in particular nerve fibers, osmium-based protocols have also been used for PC-CT of tissue from the central nervous system of murine and from the peripheral nervous system both of human and murine tissue [31–34].
Following preceding PC-CT studies on human cerebellum and hippocampus [25,35], the main goal of the current work is to explore to which extent PC-CT could contribute to imaging of the cerebral cortex of the mammalian brain, and in particular of the human brain, which shows a complex neuroanatomy with neuronal connections [1]. We include the corpus callosum (CC), which is the major tract of commissural fibers, with nerve filaments connecting both hemispheres of the brain [36]. For the essential neuroscience background, we refer to [1,37]. In this context, we ask to which degree advanced staining protocols can help to increase contrast and resolution. In view of the aforementioned recent progress in heavy metal staining and the preceding advent of SBEM, which has made it possible to address the connectivity problem in small brain volumes [38–40], the question arises whether PC-CT can extend this toolset towards larger brain volumes. If so, it may contribute in future to integrate data from different smaller volumes scanned by SBEM. A recent proof-of-concept demonstrates the potential of PC-CT in this context [41,42]. Here, we investigate which instrumental and optical settings, both at synchrotron and inhouse laboratory sources, can take advantage of different stains: To this end, both conventional- and rOTO staining protocols are applied. At the same time, we further include unstained hydrated, (partially) dehydrated, and FFPE-tissue of the cerebral cortex, as well as -stained and epon-embedded sample blocks (cf. Figure 1(d) and Fig. 1(e & f), and supplemental document for experimental concepts of data acquisition).
Figure 1 shows a schematic of the cortical regions, from which tissue autopsies and biopsies are scanned in the present PC-CT study. The sagittal view in Fig. 1(a) shows the CC in cross section, while its frontal view is depicted in (b). Various types of neurons exist throughout the cerebral cortex, detailed in [43]. of the cortical neurons are projection neurons, and they are responsible both for short- and long-range signaling. Figure 1(c) shows a sketch of such a projection neuron, which receives input through its dendrites (top), and processes via its myelinated axon to the axon terminal (bottom). Close to the neuron’s dendrites, microglial cells are sketched (µG). µG ensure brain maintenance, and target for example misfolded proteins leading to plaques, or damaged neuronal portions. Astrocytes serve the physical organization of the brain, and together with oligodendrocytes (OD) provide the metabolic supply of synapses. Importantly, ODs wrap axons with concentric myelin sheaths.
Apart from neuroimaging of healthy brain tissue, we also want to focus on the assessment of PC-CT for studies in neurodegenerative diseases. Following our recent PC-CT works on human hippocampal tissue affected by Alzheimer’s disease, we here include first scans of human brain tissue biopsies obtained during surgery of a patient suffering from Multiple Sclerosis (MS). MS is an inflammatory and neurodegenerative disease, which is pathologically characterized by chronic inflammatory demyelination, accompanied with axonal loss and glial scar formation [44]. Glial scar can occur in any type of brain damage, not restricted to inflammation, and reflects an increased number of astrocytes through hyper-proliferation, which rigidifies the tissue. While white matter lesions are rather prominent with clinical routine imaging techniques, pathologies in gray matter emerge unobtrusively. Pathohistological assessment thereof remains a technical challenge [44]. To-date, the insufficient feature contrast is eluded by special myelin protein immunohistochemistry, but also PC-CT could be a potential tool. The astrocyte proliferation is a reaction to stabilize lesions and to keep inflammatory cell from spreading, but at the same time is believed to hinder new neuronal growth [45,46]. Furthermore, astrocytic factors impede the differentiation of OD-progenitor cells. Signs of glial scar formation are completed by increased emergence of µG, resulting in angiogenesis and fibrosis. Damage of the myelin sheath followed by scar formation is also referred to as "MS-plaques". Overall, various forms (chronic, acute) and stages of MS exist [47,48], in which OD even regenerate and remyelinate. According to the definition in [49], normally appearing white matter (WM) refers to tissue with normal axon myelination, without plaques in a radius of mm and no further signs of abnormality, while normally appearing gray matter (GM) shows no signs of demyelination using immunohistochemistry. Normally appearing tissue is distinct from remyelination region, in which shadow plaques (plaques with myelin sheath, "remyelinated lesions") and newly formed myelin sheaths with reduced thickness are found [50]. Here we want to investigate, at which quality structural features can be identified in PC-CT reconstructions.
Next, we briefly introduce the topics of relevance in this work: instrumentation and optics for synchrotron and laboratory PC-CT, sample preparation including unstained, hydrated, and heavy metal stained tissues, and the important role of mouse models, notwithstanding the fact that human brain tissue remains the main incentive of this work.
Laboratory µCT
In view of future applications in pathohistology, it is important to assess to which extent phase-contrast imaging of unstained human tissue can be implemented with laboratory µCT. With recent advancements in both reconstruction schemes suitable for low coherence and novel instrumentation, such as transmission-anode X-ray sources with small source spots and sufficient power (for example approx. nm and W, respectively, for the N2 NanoTube, Excillum Inc.), partially-coherent illumination can now be implemented at compact laboratory setups for 3d virtual histology analysis [27], even without liquid-jet anode technology which was used in [25,32] or a compact laser-driven synchrotron source [51]. Details on implementations can be found in the supplemental document.
Synchrotron radiation
The much higher brilliance and in particular spatial coherence enables focusing to spot sizes in the - nm range, while preserving high photon flux, now routinely exceeding ph/s [52–56]. Synchrotron scans in such a cone-beam geometry (SR-CB) with nanometric virtual source offer the highest resolution and potential for further scaling. Due to the correspondingly smaller effective pixel size in the sample plane, data acquisition typically takes place in the so-called deep holographic regime, defined by a very small Fresnel number (cf. supplemental document). Further, using monochromatic illumination, this regime offers highest sensitivity to small phase differences. Consequently, it allows for quantitative interpretation of reconstructed density, based on well-defined optical constants. For recordings in the holographic regime, these are decisive advantages of SR, where single X-ray energies are selected based on multilayer or crystal monochromators, while laboratory PC is always restricted to broad bandpass due to its limited brilliance. Also filtered white or pink SR can be used for PC-CT, offering elevated photon flux. Most SR parallel-beam data (SR-PB) are recorded in the so-called direct contrast regime ( ), which is compatible with broad bandpass. However, for high-resolution studies in the holographic regime, a higher monochromaticity is required. Furthermore, radiation damage can occur more easily for pink beams.
Hydrated and in solution
In conventional histopathological analysis, FFPE-sample blocks are prepared by chemical fixation, gradual dehydration and subsequent paraffin infiltration, and further processed through slicing, rehydration, and staining before inspection by optical microscopy. Aside from its 3d capability, virtual histology and pathohistology based on PC-CT can be motivated by the following properties: a different and complementary image contrast based on electron density, compatibility with sample preparations beyond the standard FFPE-scheme, which is known to be associated with pronounced tissue modifications [57–59], and finally the wish to reduce effort and time in sample preparation. To this end, the image quality and performance of PC-CT for liquid-embedded samples has to be further assessed.
Heavy-metal staining
Beyond the contrast based on (native) electron density obtained from unstained tissues, feature-specific contrast can be achieved by staining. Osmium tetroxide (OsO ), for instance, binds to the phospholipid headgroups, and hence gives particular contrast to plasma membranes, multi-vesicular structures, ribosomes and Golgi complexes. Membrane-rich cortical structures such as fiber tracts should therefore emerge particularly. Further to contrast enhancement, chemical fixation of sample tissue is an important property of [60]. Sophisticated classical -based protocols exist for EM applications, and have been finetuned for bulk tissue staining, notably as adapted rOTO ("reduced osmium, thiocarbohydrazide (TCH), osmium") [12,13], resulting in contrast levels compatible with SBF-SEM connectomic studies [8,9]. Reducing agents, such as potassium ferrocyanide, are one key aspect of rOTO, converting to reduced oxidation states [11]. As a result, larger amounts of osmium are deposited onto the membrane. However, in conventional rOTO [61], the penetration depth typically does not exceed µm. In order to overcome this limitation, the reducing agent can be applied only right after deep osmium penetration. Consequently, this rOTO modification [11] can surmount staining rings at the tissue periphery and limited penetration depth, making it possible to process mm-thick tissue blocks. While this is well-established for EM, for PC-CT, osmium-based staining gave good results for tissue of the peripheral nervous system [31,62–63], and, to some extent, of the central nervous system [29,34,64–66]. However, staining protocols specifically optimized for PC-CT, i.e. in view of volume suitability and contrast agent density, are still lacking. Recently, well-established procedures from conventional histology have been adapted for PC-CT [67,68]. Regarding heavy metal protocols from EM, it is less clear how heavy metals are the most suitable approach for PC-CT. There are still many open questions regarding the most suitable protocols for given tissue type, photon energy, instrumentation (SR versus laboratory µCT) and phase retrieval approach. First findings demonstrate that the modified rOTO protocol from [11] is also well suited for SR-PC [42]. Still, to-date, PC-CT applications using heavy metal stains for tissue of the central nervous system have been reported only for small animal models, and not for human tissue.
Murine brain tissue
The mouse brain is an indispensable example for the neurobiology of the mammalian brain in order to unravel mechanisms of different neurodegenerative diseases in genetically well-controlled mutants. As far as imaging is concerned, small animal models offer some advantages in tissue preparations as compared to human tissues. Optimized fixation, such as perfusion of the mouse brain and more control of the preparation protocol, can be expected to result in better preservation of the tissue’s ultrastructure [69]. At the same time, neurons of the mouse brain are smaller and of lower (native) electron density, compared to human, which can pose a greater challenge for PC-CT, see for example the image quality of human [25] and murine cerebellum [20] for recordings of similar experimental settings. Furthermore, studies of murine brain tissue are adequate to develop and refine sample preparation protocols, which can later be partially translated to human tissue, under the constraints given by clinical pathology.
At the end of this introduction, we briefly outline the further organization of this manuscript. In the following results section, we first address unstained human brain tissue, comparing paraffin-embedded and hydrated samples, as well as results obtained with synchrotron radiation (SR) and laboratory instrumentation (µCT), before we focus on heavy metal stains both in human and murine cortical tissue. We close with a discussion section presenting the main conclusions and an application outlook.
2. Results
First, we turn to PC-CT results obtained for unstained tissue of the human cortex, comparing formalin-fixed, dehydrated and paraffin-embedded (FFPE) with hydrated samples, as well as synchrotron radiation (SR) and compact laboratory sources (µCT). The image quality and volume information in each image configuration can be assessed in view of future applications for histopathological inspection and analysis. For these and all further datasets, details on sample preparation and experimental setups are given in the supplemental document, with data acquisition and reconstruction settings listed in Tab. S1-S3.
Figure 2 presents an overview over PC-CT reconstructions and segmentation of neurons from parallel and cone-beam synchrotron radiation (SR1-PB and SR1-CB configuration, cf. supplemental document). All samples are unstained and embedded in paraffin, collected as mm biopsy punches from FFPE-tissue blocks. While all panels indicated by (a) refer to tissue collected during post mortem routine autopsy from a (neuropathologically) normal subject, panels indicated by (b & c) refer to biopsy tissues samples from a patient diagnosed with MS, and collected during surgery. Notably, sample (c) has been extracted from a region of normal appearing gray matter, and (b) from a remyelinated region of an individual with MS, as defined in the introduction. With regard to the feature pathology in the remyelinated region, the normally appearing sample can be considered as a control presenting the same subject-specific and tissue processing conditions, while (a) represents a control in a wider-range pathological sense. Figure 2(a-c.i) shows overview orthoslices from the mm biopsy punches, recorded in SR1-PB configuration, with (a-c.ii) showing corresponding volume renderings of neuronal structures, and (a-c.iii) planar slices. For the remyelinated sample, (b.iv) shows a region-of-interest (ROI) corresponding to the marked region in (b.i), which has subsequently been scanned in SR1-CB configuration. (b.v & vi) present volume renderings of the ROI, with neuron shapes and axons showing a strong orientation. In the two lower rows, single neurons are highlighted, recorded in SR1-CB configuration for all three samples. In each data set, neurons with both a particularly high and low electron density can be found. Axonal fibers are well-contrasted based on their native electron density, and even the dendrites can be distinguished in some cases. Further, for the control sample data shown in (a.iv), the spatially oriented fibers emerge with a lower electron density (lighter color) compared to the surrounding tissue, as opposed to the biopsy samples. In all three samples, the image quality and resolution is sufficient for gray-value based segmentation, as illustrated by selected segmentations of neurons along with smaller bordering cells, which can tentatively be identified as microglias. The corresponding renderings (a.vi,b.xi,c.vi) were all obtained manually using Avizo Lite (Thermo Fisher Sci.).
As discussed in the introduction, it is of interest to explore to which extent PC-CT can be applied to unstained tissue beyond the standard FFPE-scheme, which can suffer from dehydration artifacts, and for which more preparation steps are required compared to simple fixation and embedding of tissue in buffer or solvent. Here we examine the image quality and performance of PC-CT for liquid-embedded human cortical tissue, following up our previous work on cerebellum [20]. To this end, Fig. 3 presents results obtained for cortical tissue of a single human (control), scanned in SR1-CB configuration in three different liquids, representing a dehydration series: (a) fully hydrated in PBS (0% dehydration), (b) 30% PBS 70% ethanol, and finally (c) in 100% ethanol. Overview slices in (a-c.i) show reasonable tissue contrast for all steps of preparation. Figure 3 (middle row) features single cells: cell bodies, nuclei and nucleoli can be clearly distinguished, and even also cellular dendrites. Inspection of the data gives an impression of cellular shrinkage with increasing ethanol infiltration. Overall tissue volume reduction from dehydration is well-known. However, the observation also depends on the exact cellular type. For example, cells marked in (a.ii) and (c.iii) both emerge particularly strong and with similar size despite the different solvents. In Fig. 3 (lower row), the pronounced impact of dehydration on vessel architecture stands out.
Next, we assess to which extent phase-contrast of unstained human tissue can be exploited in laboratory µCT (cf. supplemental document).Figure 4 demonstrates that this approach can indeed yield convincing image quality for unstained human cortical tissue, with sufficient contrast for neurons and axons. Note that this example is presented for the biopsy samples collected during surgery, pointing out the potential for future use of PC-CT in clinical pathological diagnostics. Both setups yield very similar feature visibility and comparatively high resolution, owing to the sub-µm spot size of both sources, but differ in the detector technology, i.e. indirect fibre-coupled CCD (µCT1) versus direct detection with a single-photon counting pixel detector (µCT2). This also accounts for the observed differences in the ring artifacts, observed in µCT2 data, which can be attributed to the inter-module gaps of the single-photon counting detector.
We move from unstained tissue, i.e. PC-CT with contrast based on (native) electron density, to contrast-enhancement from heavy metal staining. Previous PC-CT studies of the central nervous system using heavy metal stains have been reported only for small animal models, and not for human tissue. In Fig. 5, the conventional -staining procedure (cf. supplemental document) has been applied to human post mortem tissue, notably (a) gray and (b) white matter (GM, WM). (a.i & ii) show volume renderings of myelinated structures and corresponding virtual sections. By adjusting geometric magnification and source size, the tissue was scanned at nm voxel size, see (a.iii-iv) for examples with µCT1. A tool developed for segmentation of single myelinated axons in synchrotron nanotomography data [62] was also applied here for a proof-of-concept that fiber tracing can be performed at the level of quality achievable from laboratory PC-CT of stained tissue, see the rendering in (a.iv). -stained human WM is shown in Fig. 5(b), for data from (b.i) µCT2 ( µm voxels), and from (b.iv-v) SR1-PB, and in more detail for (b.ii-iii) data obtained at µCT2 ( µm voxels) and (b.vi-viii) SR1-CB. Even in rather large FOV-scans, the delicate myelinated fibers which are on the order of a few microns in width can be identified based on the contrast provided by the conventional -stain. Note that in (b.vii & viii), the source-to-sample-distance has been decreased, affecting the geometric magnification of single resolution elements from nm to nm.
After having presented examples of human tissue above, we now turn to PC-CT of small animal models, more explicitly murine tissue of the central nervous system. In particular, we present PC-CT results of murine brain tissue for the conventional- protocol, and the rOTO-technique, both applied to K&S-fixed murine cortical tissue (cf. supplemental document). As expected, the heavy metal staining helps to extend the application range of laboratory µCT. Fig. 6 shows reconstructions from laboratory µCT1-data, for (a) rOTO- and (b) conventional- staining. The samples depicted in (a.i-b.ii) have been extracted along the craniocaudal axis, and comprise a number of different brain regions. With the CC as the most massive part of the commissural fibers, it emerges particularly contrasted. This region is further depicted in Fig. 6 (middle & bottom row), with (a.iii-b.iv) showing virtual sections, and (a & b.v) reconstructed volumes rendered purely based on the voxel gray-values. With high-resolution settings for setup µCT1, inter-layer connections are studied locally in (a.vi-b.vii).
Heavy-metal stains can also help to increase resolution and image contrast in synchrotron PC-CT. Figure 7 presents an overview of SR1-PB (parallel-beam) and SR1-CB (cone-beam configuration) data obtained on the same murine samples as in Fig. 6, again labeled (a) for rOTO-protocol and (b) for conventional -staining. Panels (a-b.i) have been acquired with the SR1-PB setting. The fibroid nature of the CC is very clearly represented already on larger scale for rOTO. Neuronal cell bodies emerge with lighter contrast in both protocols. In (a.ii & b.ii-iii) and (a.iii-iv & b.iv) higher resolution scans are presented, acquired in the SR1-CB and SR2 setup, respectively. In these reconstructions, the cylindrical myelin sheath around the axons is clearly resolved and single axons can be traced in 3d. Not all myelinated fibers in the CC are oriented along the same direction, as exemplary indicated by the elongated arrows. In the scans shown in (a.iv), the voxel size was further reduced from nm to nm. The myelinated axon shapes are well-resolved and contrasted. They are recognized in longitudinal section, and in cross-sectional view, as marked by arrows. Further, pronounced variations in electron density are resolved in the nucleus, indicative of heterochromatin. Again, the exact settings of all scans are listed in Tab. S1 & S2.
Finally, Fig. 8 closes the presentation by highlighting the results obtained for the rOTO-stain at high magnification, both with synchrotron radiation (SR1-CB, SR2), and high resolution laboratory (µCT1). Panels (a) and (b) show two virtual sections of rOTO-stained murine CC tissue, while (c) presents a rendering of a µCT1 laboratory dataset (visualization with NVIDIA IndeX). The wealth of neural cell bodies and the complex fiber structures in the CC, jointly with negatively contrasted vasculature, emerge particularly in this presentation.
3. Discussion
In summary, the examples presented above demonstrate the capability of PC-CT to cover -sized tissue volumes with convincing image details regarding the neuronal cyto- and myeloarchitecture. Different imaging demands require different field-of-view, voxel size and resolution, as well as contrast. In most general terms, this can be met by adaptation of the tissue preparation, staining, choice of photon energy and flux, the instrumental and geometric settings, and reconstruction algorithms. The present work gives some examples how settings and parameters can hence be tuned and shifted accordingly. We draw the following conclusions:
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Following previous PC-CT of human cerebellum and hippocampus, the present work demonstrates that the technique is well-suited to address also the highly-structured and interconnected cytoarchitecture of human cerebral cortex, see Fig. 2–5.
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Beyond post mortem autopsies, biopsies of human brain tissue collected during surgery can be scanned for histopathological assessment, see Fig. 4.
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Hydrated neuronal tissue can be reconstructed with considerable image quality, see Fig. 3. Liquid embedding requires the SR1 setting, and is currently incompatible with vacuum settings such as in SR2.
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The higher photon energy of keV possible at SR2 in combination with elevated photon flux of ph/s allows for very convincing scans of neuronal tissue stained according to the rOTO protocol. Rather than SR1, these properties allow for more reasonable cross sections in the range of - µm.
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Staining can augment laboratory µCT to the sub-µm range.
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The instrumental stability and unprecedented high flux in KB nanofocus results in less noise and higher resolution for SR2 compared to SR1, see for example the highly resolved neuronal nuclei in Fig. 7(a.iv).
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The high coherence (longitudinal and spatial due to WG filtering) at SR1 enables reconstruction at favorable dose-to-resolution ratios, and is particularly well-suited for unstained tissue, also based on its lower photon energy. Dose estimates are given in Tab. S2.
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A major asset of SR, apart from much smaller scan times and higher throughput, is monochromaticity, and the resulting quantitative contrast based on meeting the assumptions of phase retrieval algorithms [14].
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At the same time, laboratory µCT becomes quite competitive for larger scan volumes and stained specimen, as in Fig. 6, since the broad bandpass enables a versatile image contrast, with contributions both from phase and absorption.
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The full potential of SR for PC-CT of neuronal tissue could best be exploited by combining the full-field CT acquisition with further stitching protocols. The goal to increase the volume up to three orders of magnitude seems not unrealistic, if dose-induced sample degradation and local tomography errors could be mitigated, e.g. by advanced local tomography algorithms [70].
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Shifting the measurement window in the other direction, the resolution of SR-CB recordings should be further scaled up, for example by the super-resolution holography approach and pixel detectors [53].
Concerning applications, we note down the following reflections:
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For neuropathology and pre-clinical research, in particular on neurodegenerative diseases, unstained FFPE- or solvent-embedded tissue is suitable, and the laboratory CT can be a valuable tool.
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For research in neuroscience, and in particular for addressing the connectivity problem, PC-CT requires high-magnification and high-resolution SR-CB settings, and has to be further scaled up in performance. The challenge is to achieve higher resolution and contrast to identify synapses while maintaining a field-of-view which offers an advantage with respect to EM.
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For the current datasets at high resolution, synapses should be visible, but the identification would require guidance and validations by correlative imaging, in particular by EM. Datasets of the current work will be made available upon request for independent inspection.
Note that all of the above statements have to be taken with a grain of salt. They also reflect the choices and preferences of the authors in view for future work and directions, based on the presented results. Of course, we expect that other valuable perspectives and ideas will be expressed in the field, and that technical progress in optics, instrumentation, reconstruction algorithms and finally sample preparation will provide further progress in the near future.
Acknowledgments
We thank Michael Sprung, Markus Osterhoff and Bastian Hartmann for support at GINIX, and Peter Luley for support with TINa. We thank Johannes Hagemann for fruitful discussions on holographic phase reconstruction. Further, we thank ESRF for granting beamtime on ID16A (SR2 setup) through experiment LS-2980. We also acknowledge assistance in visualization with NVIDIA IndeX (NVIDIA Corporation, USA).
Funding
Bundesministerium für Bildung und Forschung10.13039/501100002347 (05K19MG2); Deutsche Forschungsgemeinschaft10.13039/501100001659 (EXC 2067/1-390729940); Deutsche Forschungsgemeinschaft10.13039/501100001659 (SFB1286/A02).
Disclosures
The authors declare no conflicts of interest.
Data availability
Data underlying the results presented in this paper are not publicly available at this time but may be obtained from the authors upon request. ESRF data (SR2 setup) will become public in 2024.
Supplemental document
See Supplement 1 (5MB, pdf) for supporting content.
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Associated Data
This section collects any data citations, data availability statements, or supplementary materials included in this article.
Data Availability Statement
Data underlying the results presented in this paper are not publicly available at this time but may be obtained from the authors upon request. ESRF data (SR2 setup) will become public in 2024.