Chemical exchange saturation transfer (CEST) magnetic resonance imaging (MRI) quantification of transient ischemia using a combination method of 5-pool Lorentzian fitting and inverse Z-spectrum analysis
Introduction
Due to insufficient blood supply, ischemic brain tissue first experience changes in oxygen and glucose metabolism during a stroke. This leads to a decrease in the acidic microenvironment; that is, a decrease in the pH value. The chemical exchange saturation transfer (CEST) peak of the amide proton in ischemic cerebral tissue is lower than the peak in normal tissue (1). The classic definition of the ischemic penumbra is the area of tissue surrounding the ischemic core that is subject to abnormal perfusion and metabolism (2). The current clinical treatment only aims at the ischemic penumbra and has no therapeutic effect on the infarct area (3). It is possible to salvage tissue from acidosis after proper therapeutic interventions and reperfusion. Accordingly, finding imaging tools to accurately and promptly identify reversibly damaged tissue in the ischemic penumbra can assist in clinical decision-making and allow quick therapeutic interventions for improved outcomes.
Magnetic resonance spectroscopy (MRS) has been used to assess tissue pH values during stroke (4). However, its practical applicability is limited due to its low spatial and temporal resolutions (5). CEST offers a novel type of magnetic resonance imaging (MRI) contrast mechanism (6). CEST has received substantial attention in recent years because of its potential to detect low-concentration proteins and metabolites in vivo (7). In chemical exchange saturation transfer magnetic resonance imaging (CEST-MRI), pH-weighted imaging has significantly higher pH sensitivity than do the conventional MRS techniques (8). Accordingly, this technique has been successfully used for the quantitative evaluation of dilute metabolites and pH values in metabolic disorders, such as stroke, in both preclinical (9-12) and clinical studies (13). In addition to predicting stroke outcomes, CEST provides additional metabolic information to differentiate between benign oligomers and metabolic penumbra.
In previous amide proton transfer (APT) research, comparatively easy, relatively simple measurements of asymmetry analysis magnetization transfer ratio based on asymmetry (MTRasym) have been used for quantification (1). However, MTRasym may be interfered with by nuclear Overhauser enhancement (NOE) and semisolid macromolecular magnetization transfer (MT) (14,15). Recently, other methods for analyzing CEST data have been introduced, including Lorentzian difference (LD) (16), three-offsets (17), multiple-pool Lorentzian fitting (18-21), and spillover-corrected magnetization transfer ratio yielding rex (MTRRex) (11). A recent comparison study indicated that the multiple-pool Lorentzian fitting method can provide more accurate quantitative CEST and NOE effects than can LD and three-offsets, particularly at low irradiation powers (22). A voxel-wise optimization of the pseudo-Voigt profile (VOPVP) fitting algorithm has been reported, which uses a linear combination of Lorentzian and Gaussian functions as the reference spectra to improve the deficiencies of traditional LD analysis (15). Furthermore, it has been shown that the effects add up inversely to the Z-spectrum; therefore, an inverse Z transform was used to detect an ischemic stroke (11). Recently, a proposed method was used to determine the residual between the inverse experimental Z-spectra and the reference Z-spectra calculated by VOPVP methods (12). This method was proven to enhance the CEST detection for ischemia. However, which parameters may be used as a marker for detection of an acute ischemic stroke at an early stage has not yet been elucidated. Therefore, it is essential to identify these parameters to further improve pH value quantification.
Previous study also showed that a down-sampling expedited adaptive least-squares fitting could effectively quantify multi-pool contributions in adult male Wistar rats both before and after global cerebral ischemia (18). However, compared with the dip from the CEST signal of normal brain tissue, the dip from the CEST signal 2 hours after a transient ischemia caused through middle cerebral artery occlusion (MCAO) becomes less obvious. Research suggests that a novel NOE-mediated MT signal around –1.6 ppm could be identified credibly in rat brains through a method that combines a multi-pool Lorentzian fitting and an inverse, while the dip is not simply detected from the Z-spectrum directly (23).
In this work, a novel method using a combination of an inverse Z-spectrum analysis and a 5-pool Lorentzian fitting named is proposed. The effectiveness of was quantitatively compared to the detection of slight changes that occur in the early stage of stroke through CEST-MRI. In addition, the parameters that could be used as a marker for the detection of an acute ischemic stroke at early stage were identified. The method was validated by a well-established animal model.
Methods
Theory
CEST-MRI usually involves a range of images with saturation pulse sweeping through a series of frequency offsets, collecting offset changes with the signal, also known as the Z-spectra (24). Fitting individual contributors to the Z-spectrum may increase the accuracy the quantification of each component (22). completes the fitting in two steps. First, to eliminate the background MT and direct water saturation (DS) effects, a 5-pool Lorentzian fitting of Z-spectra through a nonlinear optimization algorithm is performed (25). The model of the 5-pool Lorentzian fitting method is shown in Eq. [1] and Eq. [2].
Here, Ai, Γi, and δi represent the peak amplitude, peak full width at half maximum, and a Lorentzian line with a central frequency offset from the water of each pool, respectively. The CEST residual spectra (as shown by Eq. [4]) is gained using a subtraction of the reference Z-spectra (Zref,i, as defined by Eq. [3]), which consists of each Lorentzian (except that of pool i), from the Z-spectra of the experiment (Zexp). All starting points and boundaries of the fitting parameters for the rodent brain tissue of the 5-pool Lorentzian fitting are presented in Table 1 (19).
Table 1
Parameter | Water | Amide | Amine | NOE | MT |
---|---|---|---|---|---|
fs | 1 | 0.004 | 0.002 | 0.0033 | 0.04 |
ksw (s−1) | – | 30 (contralateral), 18 (ipsilateral striatum) | 1,000 | 20 | 20 |
T1 (s) | 2 | 2 | 3 | 2 | 2 |
T2 (ms) | 60 | 38 | 38 | 0.4 | 20×10−3 |
Δ (ppm) | 0 | 3.5 | 2 | –3.6 | 0 |
NOE, nuclear Overhauser enhancement, MT, magnetization transfer.
Furthermore, it has been shown that the effects add up inversely to the Z-spectrum (11,19,26). To provide a more specific quantification, the fitted spectra were treated as a reference signal (Zref,i), which represented the background DS and the semisolid MT effects. This reference signal was subtracted as an inverse transform from the complete fitting of the Z-spectra (Zexp), which yielded (23) (as defined by Eq. [5]):
After this first round of fitting, two peaks of NOE and CEST close to –3.6, 2, and 3.5 ppm were solved by a secondary fitting.
Specifically, is independent of nonspecific tissue parameters (e.g., DS, T1w and semisolid MT effects), and depends only on the solute concentration (fs), solute transverse relaxation (R2s), solute–water exchange rate (ksw), and irradiation power , as shown in Eq. [6] (22):
The MTRRex was given by Zaiss et al. using the 1/Z analysis, as defined by Eq. [7] (11):
Specifically, the quantification was obtained as shown in Eq. [8] (12),
where Sref(Δω)/S0 is the reference Z-spectra (as evaluated by fitting the experimental Z-spectra using the anterior reported VOPVP) (15), and Sexp(Δω)/S0 is mean the experimental Z-spectra.
The obtained data were evaluated using the contrast-to-noise ratio (CNR) (18), as shown in Eq. [9]:
where S1 and S2 are are the mean values for the 2 regions of interest (ROIs), respectively. δ1 and δ2 are their standard deviations, respectively.
Simulation
The Z-spectrum of rat brain are determined using the tissue parameters listed in Table 1 (1,12,25). Numerical simulations were performed to evaluate the specificity of the parameters. The simulations had different exchange rates and measurements of tissue homogenates with different pH values.
Animals
This study was approved by the ethics board of Weifang Medical University, which conforms to the institutional guidelines for the care and use of animals. Transient focal cerebral ischemia occurred in 5 adult male Sprague-Dawley rats weighing 240 to 270 g, as reported previously (12). The rats experienced MCAO for 2 hours via an intraluminal suture (27). A 4-0 nylon monofilament suture with a tip surrounded by wax entered the lumen from the external carotid artery until the suture was inserted into the internal carotid artery, blocking the bifurcation of the anterior and middle cerebral arteries. Two hours after the MCAO, the nylon suture was drawn out for reperfusion. Throughout the experiments, the body temperature of the animals was monitored and maintained at 37±0.5 ℃. Age- and sex-matched rats were used as normal controls (n=5). The animals were anesthetized with 2–98% isoflurane for induction and surgery, and 2% for maintenance.
MRI scanning
The MRI scans were collected from a 7 Tesla horizontal hole scanner with a diameter of 40 mm (Biospec, Bruker, Billerica, MA, USA) using a transmit-receiver volume coil. After obtaining the T2-weighted images for multiple slices, the coronal slice at the center of the striatum was scanned with the CEST-MRI. These scans used a continuous wave presaturation pulse with Tsat =2,500 ms. This was followed by a fast acquisition with a relaxation enhancement (RARE) readout with repetition time/time to echo (TR/TE) =5,000 ms/4 ms and RARE factor =32. A total of 51 Z-spectrum images with saturation offsets (Δω) in increments between –10 and 10 ppm were obtained (B1-sat=0.7 and 1 µT), while a total of 35 Z-spectrum images with Δω increments between –10 and 10 ppm were collected (B1-sat=2 µT). Moreover, a water saturation shift referencing was collected with B1-sat =0.5 µT (frequency offsets between ±1 ppm with intervals of 0.1 ppm) (28). For signal normalization, the S0 of the unsaturated pulse was collected. The apparent diffusion coefficients (ADCs) were acquired by a pulsed gradient spin echo sequence, and the value of b was 2,000 s/mm2. All the images were acquired with a matrix size of 96×64, a field of view of 34×28 mm2, and a slice thickness 1 mm.
Statistics
The difference between the two groups was evaluated using the t test. All data and statistical analyses were calculated by MATLAB R2018 (MathWorks, Natick, MA, USA).
Results
Simulations
The simulations tested whether a 5-pool Lorentzian fitting could accurately describe the real Z-spectrum shape. To simulate the ischemic microenvironment, the simulations were carried out at two different exchange rate levels, which represented different pH values (Figure 1). The tissue parameters are listed in Table 1. The simulation code was downloaded from the CEST source (29). Figure 1 shows that the Z-spectra simulated by a 5-pool Lorentzian fitting were very similar to those of the in vivo acquisition. However, there was still an obvious difference at approximately –2 ppm between the Z-spectrum of simulation and the results from the in vivo acquisition.
To evaluate the performance of the proposed method, a 5-pool model with the tissue parameters from the previous study was used based on the Bloch equation (12). In light of the 2 Z-spectra simulated using the different amide exchange rates, 2 CEST quantification spectra were plotted: 5-pool Lorentzian fit and (Figure 2). Although did not compensate for T1 [as the relaxation enhancement (AREX) did], it exhibited the most obvious difference in the 2 exchange rates among both of the tested quantitative methods. The results were =~9.06% and 5-pool Lorentzian fitting =~5.25%, which indicated that could more sensitively detect pH changes than could the 5-pool Lorentzian fit (Figure 2).
CEST-MRI assessment of stroke rats
Figure 3 demonstrates the ipsilateral striatum and the contralateral using a 5-pool Lorentzian fitting and at B1-sat =1 µT, respectively. The starting points and boundaries of the fitting were those used from the previous study (12). The peak amplitude of the amide did not appear to change in the ipsilateral striatum using a 5-pool Lorentzian fitting. Increased amide amplitudes were observed in the contralateral compared with the ipsilateral striatum using . The results were in accordance with those of previous studies (12). A decreased NOE amplitude was observed in the contralateral compared with the ipsilateral striatum using a 5-pool Lorentzian fitting and . Furthermore, Figure 3E compares the original Z-spectra of the ipsilateral striatum and the contralateral. These original Z-spectra were subtracted by the fitted water and MT effects to quantify the CEST effects. Decreased signals were observed in the ipsilateral striatum in comparison to the contralateral. At the same time, apparent peaks were found at 3.5, 2, and –3.5 ppm of the Z-spectra corrected by water and MT. In addition, the ROIs on T2w values are shown in Figure 3F—the red lines on the right side represents the stroke lesion, and the green line on the left side represents the contralateral. Similar to other in vivo CEST studies (11,30-32). ROIs with similar sizes and shapes were used. Depicting ROIs according to the affected areas needs further studies. Moreover, Figure S1 demonstrates the cortex and striatum of the contralateral using a 5-pool Lorentzian fitting at B1-sat =1 µT. Figure S1E compares the raw Z-spectra, subtracted by the fitted water and MT effects, of the cortex and striatum of the contralateral to quantify the CEST effects. Decreased signals were observed in the striatum in comparison to the cortex.
In addition, Figure 4 shows 8 maps in a representative normal rat brain and for all the 5 rats scanned 2 hours after the transient MCAO was induced. Figure S2 shows 2 maps: T2w (Figure S2A) and ADC (Figure S2B). The map results indicate that there was contrast between the two hemispheres of the normal control rat in ADC, T2w, and the different quantification images, and that pixel-by-pixel fitted quantification images using the MTRasym and MTRRex also did not reveal a contrast between the lesion hemisphere and contralateral hemisphere. The amplitude, integral using a 5-pool Lorentzian fitting, , and the ADC, all exhibited obvious hypointensity at the lesion hemisphere. However, the amplitude and the integral using a 5-pool Lorentzian fitting exhibited unexpectedly high signals, as indicated by the white arrow. Moreover, as a comparison method, and have been added. The results are displayed in Figure S3.
Table 2 summarizes the data of the CNR of images of the individual rats (n=5) after 2 hours of the transient MCAO induction, in which the results of stroke lesion regions and the contralateral side are in a matrix of 4×4 pixels. A higher CNR was obtained by the method in comparison to both the and a 5-pool Lorentzian fitting (12). Notably, at 3.5 ppm, obtained the highest average CNR (~3.83); this exceeded the (~3.48) and 5-pool Lorentzian fitting (integral) (~3.40).
Table 2
Rat # | Method | APT (3.5 ppm) |
---|---|---|
Rat 1 | 3.20 | |
5-pool Lorentzian fit (integral) | 3.05 | |
3.19 | ||
Rat 2 | 3.67 | |
5-pool Lorentzian fit (integral) | 3.31 | |
3.83 | ||
Rat 3 | 4.57 | |
5-pool Lorentzian fit (integral) | 3.32 | |
3.93 | ||
Rat 4 | 2.53 | |
5-pool Lorentzian fit (integral) | 2.98 | |
3.32 | ||
Rat 5 | 3.41 | |
5-pool Lorentzian fit (integral) | 4.32 | |
4.87 | ||
Average | 3.48 | |
5-pool Lorentzian fit (integral) | 3.40 | |
3.83 |
CNR, contrast-to-noise ratio; APT, amide proton transfer; , combined 5-pool Lorentzian fitting and reciprocal of Z-spectra; , combined Voxel-wise optimization pseudo Voigt profile and reciprocal of Z-spectra.
Figure 5 shows the fitted amplitude maps of each pool with a 5-pool Lorentzian fit in a representative normal rat (Figure 5A) and for all stroke rats (Figure 5B). The images of MT, water, and NOE did not reveal a contrast between the 2 hemispheres in a normal control rat and all of the stroke rats. However, the amplitude using a 5-pool Lorentzian fitting at 2 ppm exhibited an obvious hypointensity at the lesion hemisphere for Rat 1, Rat 2, and Rat 5. These results are consistent with previous findings (21).
Figure 6, Figure S4, and Figure S5 show the images of a representative rat brain at the time points 2, 6, and 24 hours after transient ischemia. As shown by the rat in Figure 4, T2w, ADC (Figure S5), and pixel-by-pixel fitted quantification images using the MTRasym and MTRRex did not reveal a contrast between the lesion hemisphere and contralateral hemisphere. In contrast, the pixel-by-pixel fitted amplitude and the integral using a 5-pool Lorentzian fitting exhibit unexpectedly high signals, as indicated by the white arrow (Figure 4). At later points in time, these high signals gradually became less apparent; in addition, the contrast involved over time.
The contribution of the composition from each pool observed in the was further evaluated. The fitted amplitude, offset, linewidth, and integral maps of each pool using a 5-pool Lorentzian fitting, and the fitted amplitude of each pool using , were performed on each fitted pool. Figure 7 compares the signals between the contralateral and the stroke lesion regions of each pool with bar plots for 4 representative rat brains with stroke. The results indicated there were 2 cases without substantial differences between the 2 hemispheres in the fitted offset of each pool. The first case used offset maps of each pool using 5-pool Lorentzian fitting (Figure 7B), and the second used linewidth maps of each pool except with a fitted water pool using 5-pool Lorentzian fitting (Figure 7C). The results indicated there were 3 cases with more substantial differences. First, the amplitude of the fitted amplitude using a 5-pool Lorentzian fitting of MT at –2 ppm (23.25%±1.66%; 11.95%±2.06%) and amide at 3.5 ppm (6.04%±0.39%; 6.86%±0.39%) was decreased in a stroke lesion in comparison to the contralateral normal tissue (Figure 7A). Second, the difference of fitted integral amplitude using a 5-pool Lorentzian fitting of MT at –2 ppm (23.22%±4.10%; 11.952%±4.60%) and amide at 3.5 ppm (6.00%±0.98%; 6.82%±0.87%) was also decreased between a stroke lesion and the contralateral normal tissue (Figure 7D). Third, compared with the value of 15.69%±1.99% of the contralateral normal tissue, the amplitude of of amide at 3.5 ppm in a stroke lesion decreased to 13.83%±2.20% (Figure 7E).
Discussion
In this study, a CEST quantitative method, namely , was used by subtracting the inverse Z-spectra from the Z-spectra with the fitted reference spectrum using a 5-pool Lorentzian fitting to detect tissue acidosis following an acute stroke. The fitted amplitude maps from the approach revealed smaller amide effects in the ipsilateral striatum than those in the contralateral striatum. These results are similar to the previous findings using a 5-pool Lorentzian Z-spectral fitting (33) and the method (12). Previous studies have shown that the effect of APT may reduce owing to a drop in tissue pH values during MCAO (11). Research also indicates that the method, by subtracting the inverse Z-spectra from the Z-spectra with the fitted reference spectra using VOPVP, could detect an ischemic stroke (12). It another study, the changes in the MTRasym contrast were predominantly attributable to APT (3.5 ppm) effects during acute ischemia under a multi-pool Lorentzian fitting (21), which is consistent with previous findings (8). In our study, the fitted line width maps from the 5-pool Lorentzian fit approach revealed higher DS effects in the ipsilateral striatum than those in the contralateral striatum (Figure 7). The method permitted us to isolate these effects using pool modeling systems and enabled us to determine their specific contributions. Furthermore, at 3.5 ppm, obtained the highest average CNR in comparison to both and a 5-pool Lorentzian fitting.
The inverse of the Z-spectrum and combinations of the inverse Z-spectrum with other quantization methods represent recently developed approaches. Reports show that a magnetization transfer ratio (MTRRex) based on the inverse Z-spectrum is helpful in the quantification of CEST-MRI evaluation of stroke lesions (11). Studies have used the three-offset (17) and the VOPVP as the reference signal (15). A study using a similar fitting method to the one proposed here demonstrated that a new NOE-mediated MT signal at approximately –1.6 ppm could be detected reliably. Both these fitting methods share a common feature: the –1.6 ppm dips and the dip after a stroke are very small. A recent comparative study reported that a multi-pool Lorentzian fitting offered a more accurate quantification of the CEST effects (22), especially at low irradiation, which may be underestimated by the three-offset method and overestimated by the LD. Traditionally, the difference between the Z-reference and the Z-spectrum (Z-residual) has been used to reduce the effects of DS (33). However, the Z-residual cannot completely eliminate the DS effect (23). There are two possible reasons for combining a multi-pool Lorentzian fitting and an inverse Z-spectra. First, it can eliminate all known competitive effects, comprising MT, NOE (–3.5 ppm), and DS. Second, it can amplify the small dips, which can enhance the sensitivity of the detection.
It has been reported that there is a significant signal reduction in the CEST effect at 3.5 ppm for ischemia detection, which is consistent with previously reported results (12). Figure 1 shows that the Z-spectrum obtained from the experimental data was different from the simulation that used the tissue parameters listed in Table 1, especially when the frequency deviation was in the range of –1 to –2 ppm. The possible reason for this is that there is –1.6 ppm in the real Z-spectrum data, but this pool was not added in the simulation (23). As a result, the accuracy of the fitting and the number of fitting parameters were compromised.
Evaluations of parameters that may be used as a marker for detecting an acute ischemic stroke were proposed in previous research (33). In this work, we demonstrated that the fitted amplitude using a 5-pool Lorentzian fitting of MT at –2 ppm and amide at 3.5 ppm, the amplitude of the fitted integral using a 5-pool Lorentzian fitting of MT at –2 ppm and amide at 3.5 ppm, and the amplitude using amide at 3.5 ppm may be used as a marker for detection of acute ischemic stroke at an early stage.
The CEST signal at 2 ppm is considered to be in the intermediate exchange regime. Thus, it is expected to increase with decreasing pH and show hyperintensity in stroke lesions. However, in our study, the Lorentzian fitting at 2 ppm showed hypointensity at the lesion for 3 rats, but not all rats (Figure 5), which is consistent with previously reported results (34). The reason for this conflicting result for the CEST signal at 2 ppm is that the multiple-pool Lorentzian fit of the amine CEST effect at 2 ppm has contributions from both the arginine amine and the fast exchanging pools, which change in the opposite direction during ischemic stroke. This leads to an insignificant correlation of the Lorentzian fit of amine CEST effects with APT and the varying results in different experimental conditions reported previously (34).
Conclusions
In conclusion, CEST-MRI with a quantitative may enhance the detection of ischemic stroke.
Acknowledgments
The authors would like to thank Dr. Xiaolei Song for the helpful discussions and EditSprings (https://www.editsprings.cn) for the expert linguistic services provided.
Funding: This work was supported by the Doctor Fund Project of Henan Polytechnic University (No. B2022-11), the Fundamental Research Funds for the Universities of Henan Province (No. NSFRF220407), and the Science and Technology Research of Henan Province (No. 212102310084).
Footnote
Conflicts of Interest: All authors have completed the ICMJE uniform disclosure form (available at https://qims.amegroups.com/article/view/10.21037/qims-22-420/coif). The authors have no conflicts of interest to declare.
Ethical Statement: The authors are accountable for all aspects of the work in ensuring that questions related to the accuracy or integrity of any part of the work are appropriately investigated and resolved. This study was approved by the ethics board of Weifang Medical University in compliance with institutional guidelines for the care and use of animals.
Open Access Statement: This is an Open Access article distributed in accordance with the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International License (CC BY-NC-ND 4.0), which permits the non-commercial replication and distribution of the article with the strict proviso that no changes or edits are made and the original work is properly cited (including links to both the formal publication through the relevant DOI and the license). See: https://creativecommons.org/licenses/by-nc-nd/4.0/.
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