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. 2014 Aug 29;9(8):e105552. doi: 10.1371/journal.pone.0105552

Optimal Iodine Staining of Cardiac Tissue for X-Ray Computed Tomography

Timothy D Butters 1,#, Simon J Castro 1,#, Tristan Lowe 2,#, Yanmin Zhang 3,4, Ming Lei 3,4, Philip J Withers 2, Henggui Zhang 1,*
Editor: Joseph P R O Orgel5
PMCID: PMC4149378  PMID: 25170844

Abstract

X-ray computed tomography (XCT) has been shown to be an effective imaging technique for a variety of materials. Due to the relatively low differential attenuation of X-rays in biological tissue, a high density contrast agent is often required to obtain optimal contrast. The contrast agent, iodine potassium iodide (Inline graphic), has been used in several biological studies to augment the use of XCT scanning. Recently Inline graphic was used in XCT scans of animal hearts to study cardiac structure and to generate 3D anatomical computer models. However, to date there has been no thorough study into the optimal use of Inline graphic as a contrast agent in cardiac muscle with respect to the staining times required, which has been shown to impact significantly upon the quality of results. In this study we address this issue by systematically scanning samples at various stages of the staining process. To achieve this, mouse hearts were stained for up to 58 hours and scanned at regular intervals of 6–7 hours throughout this process. Optimal staining was found to depend upon the thickness of the tissue; a simple empirical exponential relationship was derived to allow calculation of the required staining time for cardiac samples of an arbitrary size.

Introduction

Imaging the heart is of vital importance to the study of cardiac anatomy and the role of structural remodelling in various pathologies, including heart failure. Cardiac imaging also lends itself to investigating the role of structure in excitation wave conduction, and it's contribution to arrhythmogenesis. Over the years various techniques have been used to map cardiac structures at a range of spatial scales. These vary from magnetic resonance imaging (MRI) for whole organ and tissue section scanning, to scanning electron microscopy (SEM) to elucidate sub-cellular structures of cardiac myocytes [1], [2]. At the whole organ and tissue section level the reconstructions can be used to study structural differences between healthy and diseased organs, as well as for computational simulation studies in which the electrical activation of the heart is modelled in a realistic geometry [3][6]. For both of these applications a high resolution reconstruction with a fine level of detail is required to resolve structures that play a role in the development of cardiac disease [7], [8].

For many years MRI has been the ‘gold standard’ for heart imaging, especially when reconstructing the whole organ. However, due to the limitations of sample size within large magnetic field systems it has only been possible to scan the hearts of small animals such as mice, rats and rabbits at a high resolution (∼50 µm) [9]. Reconstructions of larger samples, such as those from humans, have been limited to a voxel size of 1–5 mm for 1.5–3.0 T clinical systems [10].

X-ray computed tomography (XCT) has many advantages over MRI for cardiac reconstructions. The sample size is limited only by the bay in which the scanner is housed; it is therefore possible to scan hearts from large mammals as well as those from small animals such as mice with the same machine. Voxel sizes of ∼40 µm and ∼36 µm have previously been obtained in rat [11] and dog [12] hearts respectively; since resolution scales with sample size, we would expect a resolution of ∼100 µm could be obtained for the human heart. The scan times are also typically much shorter with XCT, taking anywhere from a few minutes [13], [14] to ∼2 hours, compared to ∼10 hours for a comparable MRI scan [15].

Unfortunately, XCT images of biological tissue tend to be of low contrast, greatly limiting the use and application of standard XCT results. Several studies have shown however, that by using a suitable contrast agent there is an increase in differential attenuation of X-rays and contrast is improved. Metscher has highlighted several contrast agents for use in biological samples, including iodine potassium iodide (Inline graphic) and phosphotungstic acid, all of which improve contrast and allow various structures to be easily identified [16]. More recently, Jeffery et al. were able to resolve the arrangement of muscle fibres in rodent heads with application of Inline graphic [17]. In a similar study, Stephenson et al. were able to obtain sufficient contrast in rat and rabbit hearts with Inline graphic so as to segment the cardiac conduction system [11], [12].

The staining procedure is essential in order to achieve feature definition during the reconstruction and segmentation stages. The amount of time the tissue is incubated in the staining solution is a key factor for contrast, as both under- and over-staining have negative consequences. If the tissue is prematurely removed from the solution the staining will be incomplete and parts of the tissue will retain their low contrast properties when imaged. This can complicate analysis; for example, automated methods of segmentation, such as region-growing, often rely on each distinct region having consistent intensity. Automatic methods of segmentation fail as a result of incomplete staining, increasing the need for manual segmentation. Conversely, staining tissue with Inline graphic for prolonged periods of time has been shown to cause tissue shrinkage; whilst the extent of shrinkage can be reduced using a suitable fixative, it cannot be completely eliminated [18]. Therefore, an optimal staining time would be the minimum time required to completely stain the sample, reducing the effects of shrinkage as much as possible. However, this can only be determined by trial and error, and, to the best of our knowledge, there is no study which quantifies the staining process and its relationship to sample size.

This study aims to address this issue by quantifying the staining process and identifying the optimal incubation time for cardiac tissue in Inline graphic solution for XCT imaging. To achieve this, mouse hearts were scanned at a series of staining stages to track the saturation of solution within the tissue. From the resulting data it was possible to deduce a relationship between the tissue thickness and required staining time, which will allow one to determine the optimal staining time for a given sample size.

Materials and Methods

Ethics Statement

This study was approved by the University Research Ethics Committee, University of Manchester. The animals from which samples were obtained were euthanized in accordance with directive 2010/63/EU of the European Parliament and in compliance with the ethical standards of the University of Manchester and the UK Home Office Animals (Scientific Procedures) Act 1986.

Mouse Hearts

Whole hearts were excised from four adult mice and fixed in phosphate buffered formal saline (4% formaldehyde made up in phosphate buffered saline) for a period of 48 hours. The use of a fixative such as phosphate buffered formal saline allows for sample storage, and reduces the extent of tissue shrinkage associated with the use of contrast agent [18]. The tissue was stained using the procedure outlined in Stephenson et al. [11]. The contrast agent was a 3.75% Inline graphic solution made up using 10% neutral buffered formalin. The four samples were placed in the Inline graphic solution at room temperature. After allowing a period of 6–7 hours to stain, the samples were removed in stages from the staining agent and blotted to remove excess solution. Each sample was then wrapped in polythene and inserted into a plastic bijou tube to ensure stability during the scanning process whilst minimising beam attenuation by the sample holder (Fig. 1).

Figure 1. Reconstructed virtual XCT transverse slices of the mouse ventricles at varying staining times.

Figure 1

A) 0 hours; B) 6 hours; C) 13 hours; D) 26 hours; E) 39 hours; F) 58 hours. The scale bars in the bottom right of each panel are representative of 1 mm. The polythene wrapping and bijou tube, clearly visible in the periphery of panel A, are shown to be of low contrast compared to the stained tissue (panels B–F).

Scanning Procedure

The specimens were analysed using a Nikon Metris 225/320 kV XCT system in conjunction with a 2K×2K Perkin Elmer detector (1621-16-bit amorphous silicon flat-panel detector with 200 µm pixel pitch). This is housed in a customised bay at the Henry Moseley X-ray Imaging Facility at The University of Manchester.

The sample tube containing the plastic-wrapped specimen was fixed to the rotating stage of the XCT system. During the XCT analysis the specimen was rotated over a 360° rotation range for a time period of approximately 24 minutes, collecting 2001 projections per scan with a voxel size 11 µm. An accelerating voltage of 50 kV was used, along with a current of 285 µA, and an exposure time of 708 ms per projection. In addition the focus was optimized for the low energy spectrum and the system alignment was rechecked in order to optimize resolution.

Analysis

After image acquisition the data sets were reconstructed using the Nikon Metris XCT-Pro reconstruction software (Metris XT 1.6, version 2.1.3509.24 387, 10 August 2009). No beam hardening correction [19] or noise reduction was applied in order to maintain consistency during our analysis. The reasoning behind this is two-fold: firstly, beam hardening correction is based on the grey level of the image [19]. Since the intensity level varies with staining throughout the study, the correction would be inconsistent between scans. Secondly, the intensity profile through the sample is affected by the uneven staining of the tissue: attempting to obtain a flat intensity profile by applying beam hardening correction therefore defeats the purpose of quantifying the accumulation of contrast agent over time.

Following reconstruction, datasets were partially aligned in 3D such that the apico-basal axis lay parallel with the Inline graphic-axis (i.e. perpendicular to the transverse plane). 2D transverse slices were then extracted midway through the ventricles for analysis. Due to varying sample placement between scans, it was necessary to ensure that the same region was compared in each dataset. Slice location was noted with respect to the top of the atria and bottom of the ventricles; using this information we were able to identify approximately the same slice in each dataset. This approximation was then verified by identifying distinguishing features (e.g. papillary muscles) to ensure the same region was compared.

Once alignment was complete, a line profile of intensity was measured with a width of 5 pixels (taking an average to reduce the effects of noise) from epicardium to endocardium, as Fig. 2 illustrates. The epicardial edge was detected using a three step process, as shown in Fig. 3. 1) The line profile was filtered with a Gaussian kernel (Inline graphic) in order to reduce noise, 2) the maximal change in intensity of the line profile Inline graphic was located, 3) the epicardial edge was defined as the next point towards the endocardium where Inline graphic. The line profile was then discretized into twenty 0.1 mm segments starting from the epicardial edge. Each segment was assigned an intensity value Inline graphic based on the average value of the pixels within the segment, and a value of distance Inline graphic corresponding to the distance between the epicardial edge (0 mm) and each segment and finally a value of Inline graphic which corresponded to incubation time.

Figure 2. Example tomographic slice with intensity profile across the ventricular wall.

Figure 2

A) Transverse tomographic slice through the ventricles with dashed line indicating the sampling location for the intensity line profile. B) Intensity line profiles for 0 hours, 13 hours and 58 hours incubation time.

Figure 3. Adopted method for locating the epicardial edge.

Figure 3

First the line profile is filtered with a Gaussian kernel (black line; Inline graphic) in order to reduce noise. The maximum intensity gradient is subsequently detected (dotted line). The epicardial edge is then defined as the next point (towards the endocardium) at which Inline graphic (dashed line).

These values were used to analyse the time required to adequately stain tissue at various locations within the ventricular wall. Intensity was plotted against time for various locations (see Fig. 4) within the tissue and fitted with curves of the form:

graphic file with name pone.0105552.e020.jpg (1)

Figure 4. Time course of intensity during the staining process for different points within the tissue.

Figure 4

The experimental data is represented by the data points, with fitted curves of the form given in equation 1.

using MatLab's fminsearch function. This formulation assumes that the unstained tissue (i.e. Inline graphic) had an initial intensity Inline graphic which exponentially tended towards a maximal value of intensity Inline graphic with stain time. We defined optimal staining time as the minimum time required for the tissue to reach its saturated value of intensity. The desirable level of saturation is likely to depend upon the intended application; therefore, we defined three levels of saturation in the ventricles based upon the ratio of Inline graphic (90%, 95%, 99%) and calculated the optimal staining time accordingly.

Results

Fig 1. shows the reconstructed slices of the ventricles throughout the staining process. The intensity level of the grey-scale images is shown to increase quicker in the epicardium than the endocardium; since the intensity is related to the amount of Inline graphic accumulation, this indicates the epicardium accumulates Inline graphic quicker than the endocardium. This is likely due to the fact that the epicardium is in direct contact with the contrast agent and thus stains quicker than other areas. Whilst it is possible that Inline graphic solution could enter the chambers of the heart and stain the endocardium directly, the results indicate that the endocardium took longer to stain, suggesting that contrast agent reached this area primarily by diffusion through the myocardium.

The intensity of each segment was plotted over time and a curve was fitted according to equation 1, as shown in Fig. 4. Representing the data in this way illustrates how the increase in intensity, and thus the accumulation of Inline graphic, is slower at more distant points within the tissue. The time required to optimally stain each segment of tissue therefore increases with distance into the sample.

Based on the fitted curves, we measured the points at which Inline graphic was equal to 90%, 95% and 99%, giving an indication of the optimal staining time throughout the myocardium. Due to the effects of beam hardening, Inline graphic is highest at the epicardium and decreases towards the endocardium. Therefore, taking the ratio of Inline graphic as a marker of tissue stain saturation removed bias due to beam hardening. Having measured these quantities for all values of Inline graphic we fitted an equation of the form:

graphic file with name pone.0105552.e033.jpg (2)

where Inline graphic is the required staining time and Inline graphic and Inline graphic are constants to be fitted for the three saturation values. Fig. 5 shows the result of this fitting process in the form of a semi-logarithmic plot, with fitted values Inline graphic and Inline graphic given in Table 1.

Figure 5. Semi-logarithmic plot of the required staining time for different levels Inline graphic saturation as a function of distance.

Figure 5

Curves are fitted according to equation 2 and with fitted coefficients given in Table 1.

Table 1. Fitted coefficients for calculating staining times for a given saturation level.

Saturation Level Inline graphic Inline graphic
90% 5.72 1.04
95% 7.17 1.12
99% 11.3 1.16

Coefficients Inline graphic and Inline graphic can be used in conjunction with equation 2 to obtain optimal staining time for an arbitrary location within the tissue.

Discussion

As shown in Fig. 2B, as the staining time increases, the line profile of intensity across the tissue becomes flatter. This indicates a more uniform optical density, which would be expected for homogeneous tissue. If the line profile is not flat, this would indicate an incomplete staining process, as parts of the tissue contain more contrast agent than others. As shown in Fig. 5, the required staining time is exponentially dependent on the distance into the tissue (since the scale is semi-logarithmic a straight line plot is obtained).

To calculate the optimum staining time the values shown in Table 1 can be used in conjunction with equation 2 to determine the time needed to achieve 90%, 95% and 99% saturation at an arbitrary distance into the tissue. For small tissue samples, such as the mouse hearts used in this study, it is possible to achieve a saturation of 99%. This is ideal for segmentation, as a uniform intensity is obtained which facilitates the use of automated algorithms, such as region-growing. For thicker tissue samples a saturation level of 99% may not be practically obtainable; therefore parameters for equation 2 have also been given for 95% and 90% saturation. As stated, it can be seen that in our experiments the diffusion process occurred from the epicardial surface towards the endocardium. Due to the exponential relationship between staining time and tissue thickness it may be necessary to stain larger samples from both the epicardial and endocardial surfaces simultaneously, which would allow twice the amount of tissue to be stained in the same amount of time.

Limitations

The effect of time upon contrast agent diffusion is one factor affecting contrast of XCT images; other controls such as the concentration of the contrast agent, species and specimen size need to be quantified in further studies to fully understand staining conditions for optimal XCT contrast. Other controllable factors include temperature, contrast agent and solvent used, and are summarised in Table 2.

Table 2. Summary of controllable factors and their values used in the study.

Controlled variable
Species Mouse
Fixative Phosphate buffered formal saline
Contrast agent Inline graphic
Contrast agent concentration 3.75%
Contrast agent solvent Formalin (10%)
Temperature Room temperature
X-ray target Tungsten
X-ray accelerating voltage 50 kV
Projections 2001

It has been shown that Inline graphic concentration significantly impacts upon scan results [11], [12], [17] and is also likely to affect the incubation time required to successfully stain a soft tissue sample. In our study we chose a constant concentration suitable for imaging smaller hearts [11]. Whilst this has been essential for maintaining a manageable sample size, the effect of concentration on the staining process remains to be fully evaluated.

This study also concentrates only on mouse tissue, with results being extrapolated to cardiac tissue of other animals. Since tissue structure [20][23] and density [24][26] have only a small amount of variation across species, Inline graphic can be expected to stain cardiac tissue in a similar way across species.

Conclusions

Contrast-enhanced XCT is a technique which can be used to image the whole heart with high resolution compared with other imaging techniques such as MRI. The use of contrast agent allows for detailed structures such as the cardiac conduction system and fibre orientation to be resolved using XCT-based imaging analysis [27]. The quality of results from contrast-enhanced XCT depend greatly upon the staining process, in particular the length of time samples are stained. In this study we have characterised and quantified this process in mouse hearts, and derived an empirical relationship between required incubation time and sample thickness. This relationship can be used as a guide for future contrast enhanced XCT studies of cardiac tissue.

Acknowledgments

All scanning was performed at the EPSRC-funded Henry Moseley X-Ray imaging Facility, Manchester University. We are grateful to the staff at the facility for their co-operation.

Thanks to Robert Bradley for the use of HMtools software.

Thanks to Cassandra Smith for contributing to the data analysis.

Data Availability

The authors confirm that, for approved reasons, some access restrictions apply to the data underlying the findings. Due to the volume of data used in this study (over 720GB), we have made all data available upon request. Requests should be made to Henggui Zhang (henggui.zhang@manchester.ac.uk).

Funding Statement

This work was supported by an EPSRC project grant (EP/J00958X/1) and The Manchester Henry Moseley X-ray Imaging Facility was funded in part by the EPSRC (grants EP/F007906/1, EP/F001452/1, and EP/I02249X/1). The funders had no role in study design, data collection and analysis, decision to publish, or preparation of the manuscript.

References

  • 1. Schuster A, Chiribiri A, Ishida M, Morton G, Paul M, et al. (2012) Cardiovascular magnetic resonance imaging of isolated perfused pig hearts in a 3T clinical MR scanner. Interventional medicine & applied science 4: 186–192. [DOI] [PMC free article] [PubMed] [Google Scholar]
  • 2.Laschi R, Govoni E (1986) Cell ultrastructure in disease. Scanning electron microscopy: 193–8. [PubMed]
  • 3. Aslanidi OV, Colman MA, Varela M, Zhao J, Smaill BH, et al. (2013) Heterogeneous and anisotropic integrative model of pulmonary veins: computational study of arrhythmogenic substrate for atrial fibrillation. Interface Focus 3: 20120069–20120069. [DOI] [PMC free article] [PubMed] [Google Scholar]
  • 4. Zhao J, Butters TD, Zhang H, LeGrice IJ, Sands GB, et al. (2013) Image-based model of atrial anatomy and electrical activation: a computational platform for investigating atrial arrhythmia. IEEE transactions on medical imaging 32: 18–27. [DOI] [PubMed] [Google Scholar]
  • 5.Colman MA, Aslanidi OV, Kharche S, Boyett MR, Garratt CJ, et al.. (2013) Pro-arrhythmogenic Effects of Atrial Fibrillation Induced Electrical Remodelling- Insights from 3D Virtual Human Atria. The Journal of physiology. [DOI] [PMC free article] [PubMed]
  • 6. Butters TD, Aslanidi OV, Zhao J, Smaill B, Zhang H (2013) A novel computational sheep atria model for the study of atrial fibrillation. Interface Focus 3: 20120067–20120067. [DOI] [PMC free article] [PubMed] [Google Scholar]
  • 7. Zhao J, Krueger MW, Seemann G, Meng S, Zhang H, et al. (2012) Myofiber orientation and electrical activation in human and sheep atrial models. Conference proceedings: Annual International Conference of the IEEE Engineering in Medicine and Biology Society IEEE Engineering in Medicine and Biology Society Conference 2012 6365–8. [DOI] [PubMed] [Google Scholar]
  • 8. Zhao J, Butters TD, Zhang H, Pullan AJ, LeGrice IJ, et al. (2012) An image-based model of atrial muscular architecture: effects of structural anisotropy on electrical activation. Circulation Arrhythmia and electrophysiology 5: 361–70. [DOI] [PubMed] [Google Scholar]
  • 9. Jelicks LA, Tanowitz HB (2011) Advances in imaging of animal models of Chagas disease. Advances in parasitology 75: 193–208. [DOI] [PMC free article] [PubMed] [Google Scholar]
  • 10. Benson AP, Bernus O, Dierckx H, Gilbert SH, Greenwood JP, et al. (2011) Construction and validation of anisotropic and orthotropic ventricular geometries for quantitative predictive cardiac electrophysiology. Interface focus 1: 101–16. [DOI] [PMC free article] [PubMed] [Google Scholar]
  • 11. Stephenson RS, Boyett MR, Hart G, Nikolaidou T, Cai X, et al. (2012) Contrast enhanced micro-computed tomography resolves the 3-dimensional morphology of the cardiac conduction system in mammalian hearts. PloS one 7: e35299. [DOI] [PMC free article] [PubMed] [Google Scholar]
  • 12. Aslanidi OV, Nikolaidou T, Zhao J, Smaill BH, Gilbert SH, et al. (2013) Application of micro-computed tomography with iodine staining to cardiac imaging, segmentation, and computational model development. IEEE transactions on medical imaging 32: 8–17. [DOI] [PMC free article] [PubMed] [Google Scholar]
  • 13. Trinh L, Lowe T, Campbell GM, Withers PJ, Martin PJ (2013) Bread dough aeration dynamics during pressure step-change mixing: Studies by X-ray tomography, dough density and population balance modelling. Chemical Engineering Science 101: 470–477. [Google Scholar]
  • 14.Sun YL, Lowe T, McDonald SA, Li QM, Withers PJ (2013) In-situ investigation and image-based modelling of aluminium foam compression using micro X-ray computed tomography. 7th International Conference on Advanced Computational Engineering and Experimenting.
  • 15.Ayache N, Delingette H, Sermesant M, editors (2009) Functional Imaging and Modeling of the Heart, volume 5528 of Lecture Notes in Computer Science. Berlin, Heidelberg: Springer Berlin Heidelberg. doi:10.1007/978-3-642-01932-6.
  • 16. Metscher BD (2009) MicroCT for comparative morphology: simple staining methods allow high-contrast 3D imaging of diverse non-mineralized animal tissues. BMC physiology 9: 11. [DOI] [PMC free article] [PubMed] [Google Scholar]
  • 17. Jeffery NS, Stephenson RS, Gallagher JA, Jarvis JC, Cox PG (2011) Micro-computed tomography with iodine staining resolves the arrangement of muscle fibres. Journal of biomechanics 44: 189–92. [DOI] [PubMed] [Google Scholar]
  • 18. Vickerton P, Jarvis J, Jeffery N (2013) Concentration-dependent specimen shrinkage in iodine-enhanced microCT. Journal of anatomy 223: 185–93. [DOI] [PMC free article] [PubMed] [Google Scholar]
  • 19.Dewulf W, Tan Y, Kiekens K Sense and Non-Sense of Beam Hardening Correction in CT Metrology.
  • 20. Guterl KA, Haggart CR, Janssen PM, Holmes JW (2007) Isometric contraction induces rapid myocyte remodeling in cultured rat right ventricular papillary muscles. American journal of physiology Heart and circulatory physiology 293: H3707–12. [DOI] [PubMed] [Google Scholar]
  • 21. Modesti PA, Vanni S, Bertolozzi I, Cecioni I, Lumachi C, et al. (2004) Different growth factor activation in the right and left ventricles in experimental volume overload. Hypertension 43: 101–8. [DOI] [PubMed] [Google Scholar]
  • 22. Kajstura J, Zhang X, Liu Y, Szoke E, Cheng W, et al. (1995) The Cellular Basis of Pacing-Induced Dilated Cardiomyopathy: Myocyte Cell Loss and Myocyte Cellular Reactive Hypertrophy. Circulation 92: 2306–2317. [DOI] [PubMed] [Google Scholar]
  • 23. Gerdes AM, Capasso JM (1995) Structural remodeling and mechanical dysfunction of cardiac myocytes in heart failure. Journal of molecular and cellular cardiology 27: 849–56. [DOI] [PubMed] [Google Scholar]
  • 24. Ford WR, Menon V, Bhambhani A, Liyanage R, Khan MI, et al. (1997) Changes in myocardial density during postinfarction healing: effect on estimation of in vivo left ventricular mass by echocardiographic imaging. Canadian journal of physiology and pharmacology 75: 1075–82. [PubMed] [Google Scholar]
  • 25. Masugata H, Mizushige K, Senda S, Kinoshita A, Sakamoto H, et al. (1999) Relationship between myocardial tissue density measured by microgravimetry and sound speed measured by acoustic microscopy. Ultrasound in Medicine & Biology 25: 1459–1463. [DOI] [PubMed] [Google Scholar]
  • 26. Vinnakota KC, Bassingthwaighte JB (2004) Myocardial density and composition: a basis for calculating intracellular metabolite concentrations. American journal of physiology Heart and circulatory physiology 286: H1742–9. [DOI] [PubMed] [Google Scholar]
  • 27.Haibo Ni, Castro S, Stephenson R, Jarvis J, Lowe T, et al.. (2013). Extracting myofibre orientation from micro-CT images: An optimisation study.

Associated Data

This section collects any data citations, data availability statements, or supplementary materials included in this article.

Data Availability Statement

The authors confirm that, for approved reasons, some access restrictions apply to the data underlying the findings. Due to the volume of data used in this study (over 720GB), we have made all data available upon request. Requests should be made to Henggui Zhang (henggui.zhang@manchester.ac.uk).


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