Abstract
Histopathology is currently the most reliable tool in assessing the aggressiveness and prognosis of solid tumours. However, developing non-invasive modalities for tumour evaluation remains crucial due to the side effects and complications caused by biopsy procedures. In this study, saturation transfer MRI was used to investigate the microstructural and metabolic properties of tumour xenografts in mice derived from the prostate cancer cell lines 22Rv1 and DU145, which express different aggressiveness. The magnetization transfer (MT) and chemical exchange saturation transfer (CEST) effects, which are associated with the microstructural and metabolic properties in biological tissue, respectively, were analyzed quantitatively and compared amongst different tumour types and regions. Histopathological staining was performed as a reference. Higher cellular density and metabolism expressed in more aggressive tumours (22Rv1) were associated with larger MT and CEST effects. High collagen content in the necrotic regions might explain their higher MT effects compared to tumour regions.
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Introduction
Prostate cancer (PCa) is the most common non-skin cancer amongst the male population in developed countries1. Each year, approximately 1.3 million new PCa cases are diagnosed and nearly 366,000 men die of PCa globally2. It is estimated that ~ 30% men over 50 years old show histological evidence of PCa3. The most common treatments for localized prostate tumours are radical prostatectomy and prostate radiation therapy1, both of which require accurate assessment of the tumour in advance, including evaluation of its aggressiveness through clinicopathological features. Clinically, the tumour assessment workflow involves prostate biopsy. However, complications of this invasive procedure, including hematuria, rectal bleeding, infection, and pain are often reported4, which can lead to significantly increased hospital admission rates for complications, with sepsis being potentially life-threatening5. Therefore, developing new tumour assessment techniques that are solely based on non-invasive modalities is essential to improved patient management. Previous clinical studies have revealed that tumour necrosis is an important factor in evaluating tumour stage, aggressiveness, prognosis, as well as predicting treatment effectiveness in different cancer types6,7,8,9.
Currently, the evaluation of tumour necrosis is evaluated through histopathology, yet only a few studies have managed to assess tumour necrosis exclusively with non-invasive modalities. Lang et al.9 have applied diffusion MRI measurements to detect necrotic regions in tumours and associated the signal decrease in these areas with low cell integrity. Standish et al.10 have used Doppler optical coherence tomography to monitor and quantify the tumour necrosis induced by treatment in PCa. Uhl et al.11 reported changes in tumour apparent diffusion coefficient that are related to the degree of tumour necrosis induced by treatment. Jeong et al.12 showed that gadolinium mesoporphyrin can enhance tumour necrotic regions, but with very poor sensitivity. Among these modalities, diffusion MRI has a poor signal-to-noise-ratio (SNR) and is sensitive to motion that lead to artifacts, while contrast-enhanced MRI tends to have low sensitivity due to poor penetration of paramagnetic contrast agent13. Moreover, most of these modalities focus only on detecting necrotic regions and differentiating them from the active tumour areas without further analyses regarding their intratumoural microstructure and metabolic properties, thus, rendering them insufficient for biological or clinical interpretation.
Saturation transfer is a novel MRI technique that detects the water signal loss caused by magnetization exchange between certain chemical groups or macromolecules and free water molecules. Magnetization transfer (MT)14, chemical exchange saturation transfer (CEST)15, and the relayed Nuclear Overhauser Effect (rNOE)16 are the three major sub-categories of saturation transfer. The MT effect is due to the exchange of magnetization between semisolid macromolecules and water. Macromolecules exist abundantly in biological tissues, e.g., lipids are the main component of the cell and organelle membranes and the extracellular matrix and fibrous tissues have high collagen content. Both collagen and lipid bilayers are thought to be major contributors to MT17. The CEST effect is caused by the chemical exchange of protons between chemical groups (e.g., amide and guanidinium) in dissolved proteins and free water molecules. rNOE is a process of intramolecular exchange of magnetization between certain chemical groups (e.g., aliphatic) and those in another chemical group (e.g., hydroxyl18), whose protons then undergo chemical exchange with those of free water. Thus, CEST informs about the degree of tissue metabolism. A combination of MT, CEST, and rNOE saturation transfer can provide valuable insights into the microstructural and metabolic properties of tissue without any injection of contrast agent19,20.
A saturation transfer experiment starts with a long radiofrequency saturation pulse with amplitude B1, during which the longitudinal magnetization of protons resonating at the frequency of the pulse (and related to the chemical groups or macromolecule groups to which it is bound) is significantly decreased. The exchange of its magnetization with that of free water leads to the decrease of the water longitudinal magnetization and, hence, signal of free water. The measurement is repeated for various frequencies and amplitudes of the saturation pulse. The signal is conventionally normalized by the saturation-free signal and displayed as a plot as a function of saturation frequency, which is known as a Z-spectrum.
The current study focused on evaluating the saturation transfer properties of tumour xenografts derived from two different PCa cell lines: commonly used DU145 and more aggressive 22Rv1. The MRI properties of both tumour and necrotic regions were analyzed. Their saturation transfer properties were compared to histopathology to provide a better understanding of the microstructural and metabolic properties of prostate tumours.
Results
Saturation transfer effects were measured in mouse tumour xenografts derived from DU145 (n = 34) and 22Rv1 (n = 32) PCa cell lines. Z-spectra at high B1 (3 and 6 µT) and low B1 (0.5 and 2 µT) were collected from tumour and necrotic regions of these two types of tumours. The MT and CEST effects were isolated by fitting to the two-pool MT model14 to the MT-sensitive Z-spectra data. The four independent model parameters are the transverse relaxation time, T2, of the free pool (T2,F), the exchange rate of magnetization from the MT to the free pool (RMT), the equilibrium magnetization of the MT pool relative to the free pool (M0,MT), and the T2 of the MT pool (T2,MT). Previously, we found through phantom studies that there is a constant negative correlation between RMT and the solute pool size M0,MT (see Supplementary Fig. S3). Therefore, instead of analyzing them separately, their product is used to represent the MT effect. Results are compared between tumours from these cell lines and between the active tumour and necrotic/apoptotic regions.
Segmentation results
All tumours were automatically segmented into muscle and three intratumoural regions: active tumour (henceforth shortened to tumour), necrotic/apoptotic (shortened to necrotic), and blood/edema using an automatic segmentation algorithm developed by our group21. Representative T2-weighted anatomical images, segmentation masks, and histopathology stains, which were of consistent quality across mice, are shown in Fig. 1. The masks generated by the segmentation pipeline were used as regions of interest for quantitative analysis of tumour and necrotic regions. A similar figure containing all the tumours can be found in Supplementary Figs. S1 and S2.
Z-spectrum analysis
Figure 2 shows the ROI-averaged Z-spectra for intratumoural regions in the two tumour types. The saturation transfer effects in the tumour regions are higher (i.e., there is lower signal) in 22Rv1 compared to DU145. This is also seen in the necrotic regions. Both high B1s (3 and 6 μT) Z-spectra (Fig. 2a,c) exhibit strong MT effects, which can be observed as a deviation from the sigmoidal curve around 50 ppm. The Z-spectra with the lowest B1 (0.5 μT) of both 22Rv1 and DU145 tumour regions (Fig. 2b) have peaks at 3.5, 2.0, and − 3.3 ppm, which are the resonance frequency offsets of the amide, guanidinium, and aliphatic groups, respectively. These peaks are still present with a B1 of 2 μT (Fig. 2d), albeit they are more difficult to appreciate because of their increased width. There are also differences between the two types of tumours at lower B1 values, where both necrosis and tumour regions of the 22Rv1 tumours (blue lines in Fig. 2b,d) have higher saturation transfer effects than their counterparts in the DU145 tumours (red lines in Fig. 2b,d) at 2 μT (solid lines), but such differences are less pronounced at 0.5 μT (dashed lines).
Quantitative MT parameters and CEST/rNOE maps
One representative of each type of tumour is shown in Fig. 3 (MT model parameters) and Fig. 4 (CEST/rNOE contributions to the Z-spectra at three frequency offsets). Based on the segmentation of these two tumours in Fig. 3a, the necrotic region (marked with arrows) of the DU145 tumour displays much higher free pool transverse relaxation time, T2, (T2,F; Fig. 3b) than other regions. Both tumour and necrosis (marked with arrows) regions in the 22Rv1 tumour show higher MT effects (RMTM0,MT) than their counterparts in DU145 (Fig. 3c). Furthermore, within the 22Rv1 tumour, the MT effect is higher in the necrotic region than the tumour region. High MT effect in the muscle region is also seen in both tumours.
In Fig. 4, the necrotic region (marked with arrows) in the both 22Rv1 and DU145 tumours display much lower CEST effects than their tumour regions at frequency offsets 3.5 and 2.0 ppm. Moreover, the CEST effect for the tumour regions is smaller for the DU145 tumour xenograft.
Isolating the effects of the free water, MT, CEST, and rNOE pools
In Figs. 5 and 6, the observed T1 and T2 (T1,obs and T2,obs, respectively) and estimated two-pool MT model parameters of tumour and necrotic regions in both tumour types are shown. T1,obs and T2,obs are both significantly lower in the necrotic region of the 22Rv1 (2000 ± 50 ms and 44 ± 4 ms, respectively) as compared to the DU145 necrotic region (2500 ± 200 ms and 70 ± 20 ms), shown in Fig. 5a. These differences were all significant with p < 0.001.
The estimated MT model parameters are shown in Fig. 6. The goodness of fit is shown in Supplementary Fig. S5 and Table S1. The intrinsic transverse relaxation time T2 of the free pool (T2,F) is significantly different between 22Rv1 tumour and necrotic regions (47 ± 6 vs. 39 ± 5 ms) and between 22Rv1 and DU145 necrotic regions (39 ± 5 vs. 69 ± 15 ms). The product of the exchange rate of magnetization from the MT to the free pool (RMT) and equilibrium MT pool size relative to that of water (M0,MT), has three significant differences: between 22Rv1 tumour and necrotic regions (1.8 ± 0.2 vs. 2.3 ± 0.6 Hz), between 22Rv1 and DU145 tumour regions (1.8 ± 0.2 vs. 1.2 ± 0.1 Hz), and between 22Rv1 and DU145 necrotic regions (2.3 ± 0.6 vs. 1.1 ± 0.4 Hz) and is shown in Fig. 6b. The intrinsic T2 relaxation time of the MT pool (T2,MT) has four significant differences: between 22Rv1 tumour and necrotic regions (7.8 ± 0.1 vs. 7.4 ± 0.1 µs), between DU145 tumour and necrotic regions (8.2 ± 0.2 vs. 7.9 ± 0.4 µs), between 22Rv1 and DU145 tumour regions (7.8 ± 0.1 vs. 8.2 ± 0.2 µs), and between 22Rv1 and DU145 necrotic regions (7.4 ± 0.1 vs. 7.9 ± 0.4 µs) and is shown in Fig. 6c. These differences were all significant to p < 0.001.
The CEST (3.5 and 2.0 ppm) and rNOE (− 3.3 ppm) contributions to the saturation effect at low B1 (0.5 and 2 μT), calculated using AREX with the extrapolated MT-only spectra as the Z-spectrum reference and minimizing the confounding effects of T1 at these B1s, are shown in Fig. 7 corresponding to the resonances of the amide (3.5 ppm), guanidinium (2.0 ppm), and aliphatic (− 3.3 ppm) groups. The spectra for MTRREX and AREX are shown in the supplementary info (see Supplementary Fig. S8). The tumour regions have significantly higher (p < 0.001) CEST effects compared to their necrotic regions at all CEST offsets (3.5 and 2.0 ppm) in both tumour types. Both the tumour and necrotic regions of 22Rv1 tumours display significantly higher (p < 0.001) CEST effects at all three offsets than their counterparts in DU145 tumours.
Histopathology
H&E, TUNEL, and Masson’s trichrome histopathology stains were performed on each tumour and representative cases are shown in Fig. 8. In each tumour, one zone was picked in the tumour region as well as in the necrotic region and the magnified images of these areas are also included. In the tumour regions (H&E section, Fig. 8) cells in the DU145 xenograft appear to be larger and also have a lower cellular density compared to the cells in the 22Rv1 tumour regions. The major difference between the necrotic regions (brown stain in the TUNEL assay; Fig. 8) of the two tumour types is that this region in the 22Rv1 xenograft consists primarily of apoptotic cell debris including the cell membranes and other cell contents, while that in DU145 is mostly extracellular matrix. In both tumour types, there is more connective tissue (light blue in the Masson’s trichrome stain; Fig. 8) in the necrotic regions than tumour regions. In DU145 tumours, both the tumour and necrotic regions demonstrate more connective tissue deposition throughout the tumour compared to their counterparts in the 22Rv1 tumours.
Discussion
In this study, the saturation transfer properties of tumours derived from two PCa cell lines (22Rv1 and DU145), commonly used in translational research, were compared. DU145 was derived from a brain metastasis in a patient with metastatic castrate-resistant PCa22 and the 22Rv1 was a subline obtained from the CWR22 xenograft that was derived from a patient with castrate-sensitive prostate cancer23. The 22Rv1 subline was obtained following serial passage of xenografts in castrated mice to recapitulate the in vivo development of castrate-resistance. While there has been no previous study that compares the aggressiveness between these two types of xenografts, we have observed in our experiments that the 22Rv1 tumours display a higher growth rate compared to the DU145 tumours on average, which may suggest that the former has a higher proliferation rate, and behaves more aggressively than the latter.
Z-spectrum measurements revealed that 22Rv1 xenografts had higher saturation transfer effects than DU145 in both the tumour and necrotic regions, especially at high saturation amplitudes (B1s of 3 and 6 μT), where the Z-spectrum is mainly affected by MT. A two-pool model fit indicated a stronger MT effect in 22Rv1 tumours. The MT effect is defined here as the product of the exchange rate and the volume fraction, RMTM0,MT, fit using the two-pool model, and commonly reported as a product due to coupling14. Both the tumour and necrotic regions in the 22Rv1 tumours had significantly higher RMTM0,MT compared to these regions in DU145 tumours. Moreover, the intrinsic transverse relaxation time of the free pool, T2,F, which is associated with mobility of free water molecules, was longer in the necrotic regions of the DU145 tumours than the 22Rv1 tumours. Histopathology showed higher cell membrane content due to higher cellular density in both the tumour and necrotic regions of 22Rv1 tumours as compared to their counterparts in DU145. The larger MT effect in the 22Rv1 xenografts could be explained by higher cellular density, leading to increased concentration of phospholipid bilayers in cells and organelle membranes, which are the major contributors to the MT effect24. In addition, the higher mobility of water molecules in the DU145 tumours, due to decreased cellular density, could contribute to the higher T2,F.
Shorter T2 relaxation times of the macromolecular pool, T2,MT, in tumour as compared with necrotic regions in both tumour types (7.8 ± 0.1 vs. 8.2 ± 0.2 µs in the 22Rv1 tumours and 7.4 ± 0.1 vs. 7.9 ± 0.4 µs in the DU145 tumours), could be related to the differences in the type of macromolecules responsible for the MT effect in these different regions. Interestingly, the necrotic regions exhibited higher MT effects than their tumour counterparts. This phenomenon could be further explained by qualitative analysis of the macromolecular content in different tumour types and regions based on histopathology.
Masson’s trichrome stain is sensitive to connective tissue with high collagen content, which is known to be a major macromolecule contributing to the MT effect25. Indeed, collagen-rich tissues have the highest MT effect among all tissues in the body17. As shown by the Masson’s trichrome stain, the necrotic regions contain more connective tissue than tumour in both tumour types. Several studies have also demonstrated the high connective tissue content of necrotic regions using Masson’s trichrome stain26,27, but, to our knowledge, there has been no direct comparison of the connective tissue content between different tumour types. Both the tumour and necrotic regions of the DU145 tumours had a more fibrous appearance (more collagen) on histology and lower cellular density (less lipid) than 22Rv1 tumours, but had lower MT effects than 22Rv1. Therefore, it is speculated that the higher MT effects in both of tumour and necrotic regions of 22Rv1 resulted primarily from their higher cellular density, and therefore higher lipid content, rather than collagen content. On the other hand, as shown in the TUNEL stains, the cellular density did not vary significantly between tumour and necrotic regions within the same tumour type. Therefore, it could be assumed that collagen content plays a more dominant role in contributing to the MT effects within a tumour. A previous study28 has pointed out that decreased collagen content in the extracellular matrix was related to increased necrotic foci and higher tumour grade, which accords with our hypothesis that 22Rv1 tumours are more aggressive due to their high growth rate. This study also revealed that high collagen synthesis was often noticed in the host tissue around the tumour to serve as a barrier to impede tumour invasion, which could explain the high MT effect in the muscle region shown in Fig. 3.
To evaluate the CEST contribution, we used a modification of the AREX metric developed by Windschuh et al.29. The original multi-pool AREX method requires the acquisition of the entire Z-spectrum with low B1, which is time consuming, and typically assumes two CEST pools and one rNOE pool to calculate the contribution from each pool. The adapted method relies on the acquisition of Z-spectra with high B1 and a T1,obs map to extrapolate the MT reference and acquisition of Z-spectrum point(s) with low B1 only at offsets of interest 21. This is faster, but means that the AREX values calculated in this paper potentially contain contributions from the overlapping spectral contributions of multiple chemical groups. When using relatively low B1 amplitudes, such as 0.5 µT, the labeling will not be perfectly efficient due to influences from the solute exchange rate and T2, which varies for each of the CEST and NOE pools. In our experiments, AREX is not independent from B1 due to labeling efficiency being less than unity. However, comparisons between the two tumour types for the AREX metric at any given B1 and solute pool are expected to be largely unaffected by variation in labeling efficiency. Calculations using the B1 used in this study and the solute exchange rates and T2s found in literature30, show that a 10% increase in either the solute exchange rate or T2 of the three pools considered affects the efficiency by 0.03 or less and a 20% increase affects efficiency by 0.06 or less.
For both tumour types, the necrotic regions had a significantly lower CEST effect compared to tumour, which is consistent with necrotic regions having decreased metabolism. The tumour regions in 22Rv1 tumours displayed significantly higher CEST effects compared to those of the DU145 tumours. This can be explained by the higher cellular density of the 22Rv1 yielding a higher metabolite concentration and therefore stronger CEST effects. Although in this study the effect of extracellular/intracellular pH on CEST was not investigated, previous studies have pointed out that increased extracellular pH could lead to hyperintensity of amide signal (3.5 ppm)31 and the increased intracellular pH has been correlated with increased amide exchange rate in glioblastoma tissue32. NOE has also been proved to be pH insensitive33.
In this study, saturation transfer properties showed great potential in assessing solid tumours by providing information relating to intratumoural microstructure including cellular density, cell membrane integrity, and intratumoural tissue composition, which have been related to tumour aggressiveness and prognosis34,35. Furthermore, the intratumoural metabolic properties identified using CEST could guide tumour treatment36,37. This study, for the first time, analyzed and compared the saturation transfer properties between two types of prostate tumours, which are speculated to have different aggressiveness. We discovered that the 22Rv1 tumours which are potentially more aggressive are characterized with higher MT (higher cellularity) and higher CEST effects (higher metabolism) than DU145 tumours. This comparison provided important pioneering references for future preclinical studies in identifying the stage and malignancy of solid tumours with a non-invasive modality.
Methods
Animal model
Two prostate adenocarcinoma cell lines were used in this study: DU14522 and 22Rv123 (ATCC, Manassas, VA). DU145 originates from a brain lesion of metastatic PCa in a patient. 22Rv1 is derived from a serially propagated xenograft CWR22R developed from a parental human PCa xenograft CWR22. For each cell line, approximately 3 × 106 cells mixed in a 1:1 ratio by volume with growth factor reduced Matrigel matrix (BD Canada, Mississauga, ON) were injected in the right hind limbs of female athymic nude mice (nDU145 = 34, n22Rv1 = 32; Charles River Canada, Saint-Constant, QC) and allowed to grow into tumours for at least 34 days post-injection. Tumours were measured using callipers every 1–4 days and their volume was calculated using the formula volume = length × width2/2. All experimental procedures were approved by the Animal Care Committee of the Sunnybrook Research Institute, which adheres to the Policies and Guidelines of the Canadian Council on Animal Care and meets all the requirements of the Animals for Research Act of Ontario and the Health of Animals Act of Canada.
Magnetic resonance imaging
Tumours were scanned at 7 T (BioSpec 70/30 USR with B-GA12S HP gradients running ParaVision 6.0.1, Bruker BioSpin, Billerica, MA) using an 86 mm inner diameter volume coil for transmit and a 20 mm diameter loop surface coil for receive. A fifteen-slice 2D axial T2-weighted rapid acquisition with refocused echoes38 scan (RARE; TR = 2500 ms; TEeff = 55 ms; FOV = 20 mm × 20 mm; slice thickness = 0.5 mm; matrix = 128 × 128; RARE factor = 12; bandwidth = 33 kHz; averages = 4; 6 min, 40 s) was used for prescribing the slice of interest, chosen to be at the thickest point of the tumour. B0-map-based shimming (MapShim) of second order gradients was performed on an ellipsoidal volume enclosing the tumour in the slice of interest. Flip angle scale factor maps39 were calculated for the first four mice using a series of 3D high flip angle fast low angle shot (FLASH)40 scans and the T1 map for the slice of interest. The flip angle in the tumour region of interest was found to be within 6% of nominal. Thus, B1 correction was deemed unnecessary going forward.
For the DU145 tumours, saturation transfer-weighted images were acquired using one 490 ms block RF saturation pulse per k-space line and single-slice FLASH acquisition (TR = 500 ms; TE = 3 ms; flip angle = 30°; FOV = 20 mm × 20 mm; slice thickness = 1 mm; matrix = 64 × 64; bandwidth = 50 kHz; dummy scans = 1) as in our previous work41. For the 22Rv1 tumours, saturation transfer-weighted images were acquired using one 4900 ms block RF saturation pulse and four-shot, centrically encoded, single-slice RARE acquisition (TR = 5000 ms; TEeff = 4.75 ms; flip angle = 90°; same FOV and matrix as FLASH; RARE factor = 16; bandwidth = 50 kHz; dummy scans = 1), which produced Z-spectra identical to those from the FLASH sequence (see Supplementary Fig. S6), but with a much shorter acquisition time. The cumulative saturation time when acquiring the centre of k-space was approximately 16 s for RARE and 10 s for FLASH, which was sufficient for the system to reach steady-state saturation. The use of four-shot RARE instead of FLASH reduced the acquisition time from 32 to 20 s per frequency offset.
To allow for correction of system instability in post-processing, reference scans at Δω = 667 ppm were acquired before and after and also interleaved between every five Z-spectrum measurements41,42. For the DU145 tumours, the scan time for the Z-spectra including reference scans with B1 = 0.5 and 2 µT was 44 min/spectrum; 3 and 6 µT, 8.5 min/spectrum; and 0.1 µT, 15 min. For the 22Rv1 tumours, the scan time was shortened to 28 min/spectrum, 5.5 min/spectrum, and 9.5 min, respectively.
To evaluate the longitudinal relaxation time T1, five inversion recovery RARE scans (TR = 10,000 ms; TEeff = 10 ms; TI = 30, 110, 390, 1400, 5000 ms; same FOV and matrix as FLASH; RARE factor = 4; bandwidth = 77 kHz; 2 min each) were also acquired for a T1 map43. The T2 maps were calculated using a T1 map and WASSR. The total acquisition time including scout and shimming was 2–2.5 h per animal.
Histopathology
Tumours were excised for histopathological assessment immediately after scanning. Each tumour was isolated and marked with a suture on the proximal margin for subsequent alignment with MRI, formalin fixed for 24–48 h, and then stored in 70% ethanol. Tumours were trimmed for sectioning in the region that corresponded as closely as possible to the MRI slice. Tissues were paraffin embedded, sectioned at 10 µm, and mounted on slides. Three types of histological section were prepared: H&E staining for structural detail, a TUNEL assay using 3,3′-diaminobenzidine (DAB) chromogen and haematoxylin counter staining for necrosis, and a Masson’s trichrome stain for distinguishing connective tissue content. The tissue section that best correlated with the MRI slice was imaged using an Axio Imager 2 (version M2, Carl Zeiss Canada Ltd., Toronto, ON)44 microscope with the Stereo Investigator (MBF Bioscience, Williston, VT) stereology system at magnification 20 × and 60 × for details42.
MRI data pre-processing
For each animal, images were registered using a rigid body transformation to the first reference image acquired with B1 = 0.5 µT. In order to avoid misregistration of low SNR images acquired with saturation near the water resonance, Z-spectrum images with less than 50% of the mean signal of the reference scan were registered using the transformation matrix of the last image with sufficient SNR, typically an interleaved reference scan. Baseline drift correction of all Z-spectrum scans consisted of fitting a straight line to the interleaved reference scans. This was followed by spectrum-wise B0 correction of the WASSR and Z-spectrum images with low B1 (0.5 and 2 µT). The correction consisted of fitting one Lorentzian (corresponding to the DE contribution) to the WASSR Z-spectrum at frequency offsets between ± 0.5 ppm and a sum of two Lorentzians (corresponding to the DE and MT contributions) to the low B1 Z-spectra. The spectra were re-centred to the peak position of the DE Lorentzian and linearly interpolated. High B1 images (which were largely MT sensitive) were acquired with logarithmically spaced offsets ranging from 3 to 300 ppm. Thus, B0 correction was not required for these spectra.
The T2 maps were calculated using a T1 map and WASSR. First, the T1 map (T1,obs) was calculated from the inversion recovery scans by fitting to the inversion recovery RARE signal equation43. Then, a T2 map (T2,obs) was calculated from the T1 map and WASSR Z-spectrum using the steady-state direct water saturation signal intensity as in previous work42:
where R1 = 1/T1,obs, R2 = 1/T2,obs, and ω1 = γB1. T1 and T2 values were normalized by 4000 and 300 ms, respectively, which were values selected as being slightly higher than the highest values typically seen in tumour regions to match the range of the saturation transfer images prior to segmentation.
The pre-processing above was performed in MATLAB (Release 2018b, The MathWorks, Natick, MA)45. Subsequent processing was performed in Python (version 3.7)46 with the SciPy (version 1.2.1)47 scientific computing, OpenCV (version 3.4.1)48 computer vision, and scikit-learn (version 0.20.3)49 machine learning libraries.
Image erosion was used to remove edge voxels, which can be contaminated by partial volume effects. Voxels with a B0 shift of greater than 0.5 ppm were excluded, so only well-shimmed voxels were used. Erosion was performed using the binary_erosion function in SciPy using a rank 2 structuring element where all elements are neighbours.
Automatic segmentation
The segmentation pipeline, developed in our lab21, is shown in Fig. 9 and used T1 and T2 maps and Z-spectrum images acquired at high B1 (3 and 6 µT) as input (Fig. 9a). These were concatenated to generate an observation matrix for each tumour type. For each observation matrix, an independent component analysis (ICA) was performed using the FastICA algorithm50. ICA is a linear transformation from the original feature space to a new one such that the new features are mutually independent (Fig. 9b). Transformation into three independent components (ICs) was chosen based on our previous work21. In this study, the ICs of each dataset were sorted in order of increasing mutual information between each component and the average of all protocol images, calculated using the normalized_mutal_info_score function in scikit-learn normalized to the arithmetic mean of the ICs and average images, and labelled IC1, IC2, and IC3. The ICs were then weighted (IC1:IC2:IC3 weightings of 2:3:1 were used for 22Rv1 images and 1:3:2 for DU145, which resulted in segmentation masks that visually best matched histology) and input to a Gaussian mixture model (GMM)51, which is a probabilistic model that identifies clusters with Gaussian distributions within IC space (Fig. 9c). For each GMM cluster, the fitting estimated a weighting, along with a mean in the three-dimensional IC space, and a full covariance matrix (i.e., each Gaussian may adopt any position and shape). Based on our previous study, the optimal number clusters was five. All clusters were associated with histology results and assigned to active tumour, necrosis/apoptosis, muscle, muscle/connective tissue and blood/edema.
After GMM fitting, the following label assignment algorithm was applied to the DU145 segmentation masks as in our previous work21: (1) the cluster with the largest absolute value of the GMM mean of IC1 was labelled blood/edema; (2) each dataset was reflected about the IC1 = 0, IC2 = 0, and IC3 = 0 planes, as required, such that the blood/edema cluster was in the first octant since ICA does not identify the sign of the source signals; (3) of the remaining clusters, the one with the smallest (i.e., most negative) GMM mean of IC2 was labelled muscle; the second smallest, muscle/connective; the second largest, necrosis/apoptosis; and the largest, active tumour. A similar algorithm was applied to the 22Rv1 masks except that the clusters in step 3 were assigned in the following order: active tumour, muscle/connective, necrosis/apoptosis, and muscle. The segmentation results were visually connected to histology stains (H&E and TUNEL).
Quantitative MT model fitting
T1 maps and Z-spectra with B1 = 0.1, 3, and 6 µT were fitted to a two-pool MT model using a super-Lorentzian lineshape for the semisolid macromolecular pool for the tumour and necrosis/apoptosis voxels52. The four free parameters are the T2 of the free pool (T2,F), the exchange rate of magnetization from the MT to the free pool (RMT), the equilibrium magnetization of the MT pool relative to the free pool (M0,MT), and the T2 of the MT pool (T2,MT). Since the parameters RMT and M0,MT are coupled, their product was used for further analysis and termed the MT effect. All parameters were fitted for the tumour and necrosis/apoptosis regions of individual mice and then averaged together. The difference between the MT effect between tumour and necrosis/apoptosis regions over all mice were compared using unpaired Student’s t-tests.
Isolation of CEST and rNOE contributions
Since Z-spectra are sensitive to direct water saturation, MT, CEST, and rNOE at different offset ranges, it is necessary to isolate each of them to reduce confounds. Based on the method introduced by Heo et al.53, the extrapolated semi-solid magnetization transfer reference (EMR) was calculated using the MT model parameters, which represents the MT effect. Adapting the technique described by Windschuh et al.29, the T1-corrected apparent exchange-dependent relaxation (AREX) metric for CEST and rNOE contributions from each tumour and necrosis/apoptosis regions was calculated as follows:
where the measured Z-spectrum (B1s of 0.5 and 2 µT were each used) is denoted Zlab, the extrapolated MT reference is ZEMR, and T1,obs is the measured T1. The difference between the mean CEST-only contribution at 3.5 (amide CEST), 2.0 (guanidinium CEST), and − 3.3 ppm (aliphatic rNOE) between tumour and necrosis/apoptosis regions over all mice were compared using unpaired Student’s t-tests.
Data availability
The data that support the findings of this study are available from the corresponding author upon reasonable request.
Code availability
The code used this study is available from the corresponding author upon reasonable request.
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Acknowledgements
Financial support was provided by Prostate Cancer Canada (Grant number 705083), the Terry Fox Research Institute (Grant number 1083), and the Canadian Institutes of Health Research (Grant number PJT148660).
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W.W.L., W.O., and G.J.S. conceived and designed the study. S.K.L. provided the cell lines. L.M. and M.M.K. injected the cells and measured the growing tumours. Z.T., L.M., W.O., and W.W.L. imaged the tumours. W.W.L. provided the analysis software and Z.T. performed the analysis. Z.T., W.W.L., and G.J.S. wrote the manuscript with assistance from the other authors. G.J.S. supervised the project.
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Tan, Z., Lam, W.W., Oakden, W. et al. Saturation transfer properties of tumour xenografts derived from prostate cancer cell lines 22Rv1 and DU145. Sci Rep 10, 21315 (2020). https://doi.org/10.1038/s41598-020-78353-8
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DOI: https://doi.org/10.1038/s41598-020-78353-8
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