Abstract
Purpose
The bSSFP acquisition enables high spatiotemporal resolution for hyperpolarized 13C MRI at 3T, but is limited by spectral contamination from adjacent resonances. The purpose of this study was to develop a framework for in vivo dynamic high resolution imaging of hyperpolarized [1-13C]pyruvate and [1-13C]lactate generated in vivo at 3T by simplifying the spectrum through the use of selective suppression pulses.
Methods
Spectral suppression pulses were incorporated into the bSSFP sequence for suppression of [1-13C]alanine and [1-13C]pyruvate-hydrate signals, leaving only the pyruvate and lactate resonances. Subsequently, the bSSFP pulse width, time-bandwidth, and repetition time were optimized for imaging these dual resonances.
Results
The spectral suppression reduced both the alanine and pyruvate-hydrate signals by 85.5 ± 4.9% and had no significant effect on quantitation of pyruvate to lactate conversion (liver: P = 0.400, kidney: P = 0.499). High resolution (2 × 2 mm2 and 3 × 3 mm2) sub-second 2D coronal projections and 3D 2.5 mm isotropic images were obtained in rats and tumor-bearing mice with 1.8-5 s temporal resolution, allowing for calculation of lactate-to-pyruvate ratios and kPL.
Conclusion
The developed framework presented here shows the capability for dynamic high resolution volumetric hyperpolarized bSSFP imaging of pyruvate-to-lactate conversion on a clinical 3T MR scanner.
Keywords: 13C, hyperpolarized, pyruvate, SSFP, metabolism
Introduction
New developments in hyperpolarized (HP) 13C MRI via dissolution dynamic nuclear polarization have facilitated real-time detection of [1-13C]pyruvate biodistribution and metabolism in various diseases, including cancer and diabetes (1–4). The conversion of pyruvate to lactate as a potential biomarker in disease prognosis and aggressiveness has been studied extensively, including in a recent successful phase I clinical trial focused on prostate cancer patients, and in recent ongoing phase II clinical trials focused on prostate cancer, brain cancer, and liver metastases (5–9). Because the hyperpolarized magnetization is nonrecoverable and constantly depleted due to the effects of RF excitation and metabolism, multiple rapid imaging strategies have been investigated, including MR spectroscopic imaging (MRSI), spiral, and echo planar imaging (EPI) (10–15). Each of these sequences provides adequate spectral resolution, but has limitations in additionally achieving both high spatial and temporal resolution with sufficient SNR.
Recent publications have focused on optimizing high spatiotemporal resolution imaging for HP 13C MRI with the balanced steady-state free precession (bSSFP) sequence since it offers the highest SNR per unit time (16–19). The advantage of the bSSFP sequence is readily apparent when imaging single non-metabolized compounds, such as urea, or multiple non-metabolized compounds with large chemical shift differences (17,20–23). Because of the SNR efficiency, 1.5 mm 3D Isotropic (0.0034 cm3) HP 13C imaging is currently possible with the bSSFP sequence at 3T (18), which is a higher spatial resolution compared to current EPI (24,25), MRSI (15), and spiral imaging (26,27) acquisitions. However, due to the difficulty in dealing with off-resonance with this sequence (i.e. banding artifacts), imaging of HP [1-13C]pyruvate and the resulting metabolites is much more challenging because of the small chemical shift between the metabolites and the need for high spectral selectivity. As described previously (16), various approaches have been developed with the bSSFP sequence, such as using a multi-echo or low bandwidth readout (28–31), low flip angle bSSFP for metabolite-specific imaging (32,33), and a variable phase advance approach (30). These approaches have shown the ability to acquire most, if not all, resonances within the pyruvate spectrum at relatively high spatial resolutions compared to other spectroscopic and imaging techniques, especially at high fields in preclinical systems. However, the disadvantages of these approaches, such as long TR, relatively low SNR, and complex reconstructions involving several assumptions, make them sub-optimal for high spatiotemporal resolution imaging at clinical field strengths.
A recent publication presented a method for acquiring HP [1-13C]pyruvate, [1-13C]lactate, and [13C,15N2]urea simultaneously with the bSSFP sequence at 14T by optimizing the RF pulse and TR for spectral selectivity and cycling through the three transmit frequencies for dynamic imaging (16). This approach exploits the large frequency separation at 14T, as well as the use of higher strength gradients available on a preclinical system, which enables short RF pulses and short TRs. Translation of this approach to clinically relevant field strengths is considerably more challenging due to the ∼5x closer frequency separation (i.e. compared to 3T). The RF pulse widths necessary for spectral selectivity are closer to ∼20 ms, leading to long TRs and a frequency response unsuitable for bSSFP imaging due to B0 inhomogeneity and consequent banding artifacts.
The goal of this study was to develop a new method for fast, high resolution imaging of [1-13C]pyruvate and its metabolic product [1-13C]lactate at 3T with the bSSFP sequence. Spectral suppression pulses centered on [1-13C]alanine and [1-13C]pyruvate-hydrate were played prior to imaging to reduce the problem to a two-peak system. The combination of these spectral suppression pulses and a carefully chosen RF pulse width and time-bandwidth (TBW) allowed for a TR of ∼15 ms. This method was tested on phantoms and applied in healthy rat kidneys and tumor-bearing mice with 2D coronal projections and 3D imaging at <5 s temporal resolution.
Methods
Sample preparation
[1-13C]pyruvate was prepared as described previously (18). ∼24 uL of sample was polarized in a HyperSense system (Oxford Instruments, Abingdon, UK) operating at 3.35 T and 1.35 K for ∼1 hour, and subsequently dissolved in ∼4.5 mL of NaOH/Tris buffer, resulting in a 80 mM [1-13C]pyruvate solution at physiologic pH and temperature.
Animal preparation and hardware
All animal studies were done under protocols approved by the University of California San Francisco Institutional Animal Care and Use Committee (IACUC). Healthy Sprague-Dawley rats and tumor-bearing mice (transgenic adenocarcinoma of mouse prostate or TRAMP (34)) were used during the course of these experiments. The rats and mice were anesthetized using isoflurane (1.5%, gas flow rate 1 L/min) and inserted with lateral tail vein catheters.
All experiments were performed on a 3 Tesla clinical MRI scanner (GE Healthcare, Waukesha, WI) using custom dual-tuned 13C/1H quadrature transceiver radiofrequency (RF) coils (8 cm diameter for rats and 5 cm diameter for mice). All animals were placed in a supine position on a heated pad within the coil for the duration of the experiments. A 1 mL enriched [13C]urea vial phantom (6.0 M) was placed on top of the animal near the abdominal region and used for frequency and power calibration.
MR Experiments
A 20 ms Shinnar-Le Roux (SLR) designed spectral suppression pulse (Fig. 1A) with an excitation bandwidth of 150 Hz (Fig. 1B) was used during the course of these studies (35). The suppression capability of the pulse was first tested with a slab-selective magnetic resonance spectroscopy (MRS) sequence using a thermal 13C phantom that consisted of four different sized chambers containing 1 M sodium lactate (185 ppm), 2 M sodium formate (a doublet at 166 and 173 ppm), 1 M sodium bicarbonate (163 ppm), and 1 M alanine (178 ppm). The MRS parameters were: one 50 mm axial slab covering the phantom, RF compensated progressive flip angle scheme, adiabatic double-spin echo (36), 120 ms TE, 25 kHz spectral width, 2048 spectral points, 3 s temporal resolution, 10 time-points, with one suppression pulse played out prior to each time-point, with the suppression pulse waveform ending 1 ms before slab excitation. The suppression pulse center frequency was centered on lactate and moved downfield in 10 Hz increments up to 180 Hz.
Subsequently, the pulse was also tested in vivo in rats with the slab-selective MRS sequence, with each animal undergoing one scan with spectral suppression and one scan without spectral suppression. The in vivo parameters were: two 12 mm axial slabs, one localized on liver and one on kidney, RF compensated progressive flip angle scheme, double-spin echo, 120 ms TE, 25 kHz spectral width, 2048 spectral points, 3 s temporal resolution, 10 time-points, with one suppression pulse (centered ∼158 Hz upfield of lactate, between the alanine and pyruvate-hydrate resonances) played out prior to each time-point, ending 1 ms before slab excitation. All scans started at 20 s after beginning of injection and 3 mL of 80 mM [1-13C]pyruvate was injected over 12 s via tail vein catheters in six different rats.
Unless otherwise noted all subsequent acquisitions used a custom 13C bSSFP sequence, with α/2–TR/2 preparation pulses and α-TR/2-α/2 flip back pulses storing remaining magnetization on the longitudinal axis (18). Figure 1A shows the entire 3D version of the sequence (without the flip back pulses), with the spectral suppression pulses and associated crusher gradients. The RF pulse width and TR/TE necessary for bSSFP imaging were simulated and chosen to selectively excite either pyruvate or lactate, whereby a 6.8 ms sinc pulse (TBW = 2) led to a TR/TE of 15.3/7.65 ms. The selectivity was tested using both a thermal [13C]urea phantom and hyperpolarized [13C,15N2]urea phantom. The phantom experiments were acquired by alternating between on-resonance and 390 Hz off-resonance.
Initial in vivo bSSFP images were acquired as coronal projections with slight variations in parameters for sequence optimization based on available SNR. These studies utilized the following general parameters: 12 × 6 cm2 FOV, 60 × 30 matrix size for 2 × 2 mm2 in-plane resolution (or 40 × 20 for 3 × 3 mm2), progressive flip angle scheme (increasing along time, constant within each time-point, similar to schemes described previously (37,38)), 6 time-points and 5 s temporal resolution for each metabolite, three suppression pulses played before each time-point as described above. An alternating center frequency scheme was utilized, with each metabolite acquired every 2.5 s. All scans started at 20 s after beginning of injection and 3 mL of 80mM [1-13C]pyruvate was injected over 12 s via tail vein catheters in four different rats. A dynamic 2D CSI sequence was used for comparison in three rats of dynamic lactate-to-pyruvate ratios and had the following parameters: 8 cm coronal FOV, axial 8 cm slab, 8 × 8 matrix size leading to 10 × 10 mm2 in-plane resolution, 5 kHz spectral width, 256 spectral points, TR of 76 ms, progressive flip angle scheme, 6 time-points.
Further optimized in vivo bSSFP images were also acquired as coronal projections and utilized the following general parameters: 12 × 6 cm2 FOV, 40 × 20 for 3 × 3 mm2 in-plane resolution, progressive flip angle scheme, 10-13 time-points and 3.6 s temporal resolution for each metabolite, three suppression pulses played before each time-point as described above. An alternating center frequency scheme was utilized, with each metabolite acquired every 1.8 s. All scans started at 5 s after beginning of injection and 3 mL of 80mM [1-13C]pyruvate was injected over 12 s via tail vein catheters in three different rats.
3D rat studies utilized the following general parameters: 12 × 6 × 2 cm3 FOV, 48 × 24 × 8 matrix size, progressive flip angle scheme, 10 time-points and 3.6 s temporal resolution for each metabolite, three suppression pulses played before each time-point as described above. 3D tumor-bearing mice studies utilized the following general parameters: 8 × 4 × 4 cm3 FOV, 32 × 16 × 16 matrix size, 2.5 mm isotropic resolution, progressive flip angle scheme, 10 time-points and 3.6 s temporal resolution for each metabolite, three suppression pulses played before each time-point as described above. An alternating center frequency scheme was utilized in both sets of studies, with each metabolite acquired every 1.8 s. Each 3D acquisition was undersampled along the time dimension by using a different undersampling pattern for each time-point, which resulted in 70% undersampling for rat studies and 75% undersampling for mouse studies. A local low rank plus sparse (LLR+S) algorithm was used for reconstruction, as described previously (39). Briefly, the LLR+S algorithm enforces both low rank and sparse constraints via iterative soft thresholding on singular values and sparse coefficients to reconstruct undersampled dynamic MRI.
For anatomic reference, 3D bSSFP proton images (16 × 8 × 4.8 cm, 256 × 128 × 80, 5.1 ms TR, 50° flip angle) were acquired for rats and T2-weighted fast spin echo proton (6 × 6 × 8 cm, 256 × 192 × 40, 7.6 s TR) images were obtained for mice.
Data and Statistical Analysis
All data was reconstructed and analyzed in Matlab (MathWorks, Natick, Massachusetts, USA), except the 2D CSI, which was analyzed in SIVIC (40), and carbon overlays onto proton data were done in Osirix (41). Lactate-to-pyruvate ratios from the slab-selective MRS acquisitions were calculated from integration of summed (through time) magnitude spectra. Percentage suppression of alanine and pyruvate-hydrate was calculated based on percent change in alanine-to-pyruvate ratios and pyruvate-hydrate-to-pyruvate ratios, respectively. Statistical significance of the comparison between acquisitions with and without spectral suppression were performed using a paired sample t-test in Matlab and a P-value < 0.05 was considered significant.
kPL from the 2D bSSFP rat acquisitions was calculated using the model described in Maidens et al. (38), which assumes unidirectional conversion from pyruvate to lactate. Additionally, the T1 of pyruvate was kept fixed during the fitting process, while allowing the T1 of lactate and kPL to vary. Since this model was designed based on acquisitions with single RF pulses, such as EPI, and to account for the use of variable flip angles during the bSSFP acquisition, a single effective flip angle was calculated for each time-point based on the depleted Mz magnetization during the imaging. This depletion was calculated by modeling the signal decay of the bSSFP sequence using the signal equation taken from Svensson et al. (42):
[1] |
where E1 = exp(-TR/T1), E2 = exp(-TR/T2), n is the RF pulse number, and T1 and T2 assumed to be 25 s and 1.5 s, respectively. The Mz,0 was updated after every time-point to account for T1 decay between successive time-points. The resulting effective flip angles for each time-point were calculated in the following manner:
[2] |
where i is the time-point, Mz,post is the Mz immediately after completion of imaging and Mz,pre is the Mz immediately before beginning of imaging. An initial SNR threshold based on pyruvate signal was used to filter out low SNR voxels.
Results
Spectral Suppression Pulse Phantom and in vivo Experiments
Figure 2 shows the effect of the spectral suppression pulse at different frequency offsets from the lactate resonance, with offsets ≥100 Hz showing no effect. The signal level at ≥100 Hz (Fig. 2A green line) equaled the signal level without any spectral saturation pulses played out (Fig. 2A dashed line). Therefore, with the offset set to 158 Hz in vivo, within the liver (Fig. 2B and 2C) and kidneys (Fig. 2D and 2E), the pulse was able to successfully suppress both alanine and pyruvate-hydrate without having an effect on the lactate or pyruvate resonances. Specifically, alanine and pyruvate-hydrate in the liver were suppressed by 89.0 ± 5.1% and 90.7 ± 4.1%, respectively, and by 84.1 ± 4.2% and 83.4 ± 5.3% in the kidneys, respectively. Calculations of lactate-to-pyruvate ratios showed no statistically significant difference between spectral suppression and no spectral suppression in either liver (P = 0.400) or kidney (P = 0.499), indicating no significant effect on quantitative analysis.
Excitation pulse train simulations
Figure 3 shows the simulations of the frequency response for a α = 60° 6.8 ms sinc pulse (TBW = 2) and 15.3 ms TR at ± 25 Hz around the on-resonance frequency (Fig. 3A) and 390 Hz off-resonance frequency (Fig. 3B). The simulations demonstrated successful individual selectivity of pyruvate and lactate with the bSSFP sequence as there was minimal excitation 390 ± 25 Hz off-resonance with this combination of pulse width, time-bandwidth, and TR. The [13C]urea phantom results (Fig. 3C and 3D) matched the simulations, having ∼100:1 selectivity. Additionally, based on the suppression percentages detailed previously, the simulations of the bSSFP signal response near alanine and pyruvate-hydrate, and the relative production of each compound based on the slab-selective MRS, the signal contribution of those resonances in the image amounted to <5%.
2D bSSFP Imaging and Comparison to 2D CSI
Figure 4 shows successful acquisition of projection images of each metabolite from a 20 s scan start time at both 2 × 2 mm2 (Fig. 4A-C) and 3 × 3 mm2 (Fig. 4D-F) in-plane resolution, with clear visualization of biodistribution within the heart, vasculature, and kidneys at both resolutions. Comparison of the 2D CSI and bSSFP acquisitions revealed a similar increasing trend in normalized dynamic lactate-to-pyruvate ratios between the two acquisitions. This matching trend was seen for the first four time-points in each kidney (normalized to the highest lactate-to-pyruvate ratio for each type of acquisition). The SNR was too low in the last two time-points of the bSSFP acquisition for accurate lactate-to-pyruvate calculation.
Figure 5A and Figure 5B show the time-points of pyruvate and lactate, respectively, from a 2D 3 × 3 mm2 dynamic coronal projection (the scan started 5 s after start of injection). The signal from pyruvate lasted throughout all the time-points, particularly in the kidneys, while lactate was present for approximately 22 s before the SNR became too low for visualization. Figure 5C shows the resulting kPL map, with the resulting values matching up well with literature values for healthy rat kidneys (kPL ≈ 0.013 s-1) and vasculature (kPL ≈ 0.004 s-1) (43). Figure 5D shows the AUClac/AUCpyr map, with the trend of AUC ratio values agreeing well with the kPL values based on qualitative analysis, such as the heart and vasculature having relatively lower AUC ratios and kPL, with kidneys and liver being relatively higher (44,45).
3D bSSFP Imaging
Figures 6 and 7 show all the slices from a representative time-point of each metabolite as well as the dynamics of the sum along the slice dimension from the 3D 2.5 mm isotropic dynamic acquisition for both rat kidney imaging (Fig. 6A for pyruvate and 6B for lactate) and mouse tumor imaging (Fig. 7A for pyruvate and 7B for lactate). The SNR was high enough to again visualize the uptake, biodistribution and metabolism of both metabolites in both studies, although the signal appeared to last longer in the tumor-bearing mice, probably due to higher lactate production in the tumor region compared to a healthy rat.
Discussion
We have developed an approach for high resolution dynamic [1-13C]pyruvate and [1-13C]lactate imaging with spectrally-suppressed bSSFP at a clinically relevant field strength of 3T and investigated its feasibility in preclinical studies. By combining spectral suppression pulses and an optimized pulse width and TBW, and TR, we were able to provide a framework for imaging [1-13C]pyruvate and [1-13C]lactate with the bSSFP sequence at higher spatiotemporal resolutions than previously done at 3T. Considering the challenge of controlling the bSSFP frequency response around the tight spectral spacing of resonances in the [1-13C]pyruvate system, reducing the problem to a two-peak system with the spectral suppression pulses was very advantageous. While in this study we ignored the contribution of bicarbonate because of a low effective flip angle based on the bSSFP signal response (∼3°) and low SNR at the achieved spatial resolutions, additional spectral suppression pulses can be added to suppress bicarbonate during the acquisition.
This approach was not designed to resolve all the resonances of [1-13C]pyruvate and all its metabolites, and other approaches would need to be utilized to incorporate [1-13C]alanine, [1-13C]pyruvate-hydrate, and/or [1-13C]bicarbonate imaging. As mentioned in the introduction, and displayed in Figure 1B, the tight spacing of the resonances would conventionally require considerably long RF pulses to selectively excite each individual resonance, especially with alanine resonating only 85 Hz away from pyruvate-hydrate and 183 Hz away from pyruvate. With the TR consequently elongated as well, the susceptibility to banding artifacts would be increased due to the bSSFP frequency response. The approach presented here was designed for pyruvate-to-lactate conversion imaging, but could be modified to help alleviate this issue by spectrally suppressing only one resonance at a time, thereby allowing more flexibility with the RF pulse width, either with a sinc pulse or an alternate selective RF pulse design (46).
The optimization of flip angle scheme, spatial resolution, and temporal resolution is a constant challenge with HP 13C imaging due to the nonrecoverable magnetization decay. The parameters chosen for the initial studies presented here were designed for high spatial and temporal resolution with sufficient SNR for calculation of lactate-to-pyruvate ratios and kPL. Thermal phantom studies demonstrated no effect on the lactate or pyruvate resonances directly when applying the suppression pulse. Based on the comparison to the 2D CSI data, the trend of calculated lactate-to-pyruvate ratio was similar over a 20 s temporal window before the lactate SNR was too small for quantitative analysis. Similarly, the 3D rat data showed the capability of obtaining high resolution 3D isotropic images of both pyruvate and lactate, but was again limited in lactate SNR over the course of the full temporal window. Acquisitions of high spatiotemporal resolution data can be limited by lactate production in the region of interest, in this case the kidneys. Conversely, the 3D TRAMP data provided higher lactate SNR in the tumor region, reflecting more lactate production. Imaging of produced lactate in healthy rat kidneys is most likely restricted to 2D projection or slice-selective imaging with a high in-plane resolution to acquire adequate lactate SNR over the temporal window necessary for accurate quantitation of pyruvate to lactate conversion. Starting the scans at 5 s was shown to be a good delay to visualize uptake, distribution, and metabolism of pyruvate, with 20 s being slightly too late as the build-up of lactate was already considerable and affected subsequent parameter fitting.
Calculation of kPL with the bSSFP sequence presents additional challenges due to multiple RF pulses needed for phase encoding and relatively longer acquisition times. The signal decay is therefore a combination of not only kPL and T1, but also effects from flow, B0/B1 inhomogeneity in the coil, and other metabolism, which may result in faster than anticipated signal decay. While all sequences have to deal with these effects in some fashion, bSSFP specifically is very challenging due to the frequency response, where deviation from the on-resonant conditions can result in considerable deviations from the intended flip angle scheme. The model used for calculating kPL fitted both kPL and lactate T1, with the resulting T1's being considerably shorter than expected in the kidneys, i.e. in the range of ∼3-10 s versus expected ∼15-25 s, which could be explained by the aforementioned effects and may represent an aggregate signal decay term. While kPL values agreed with the literature as discussed in Figure 5, the relatively low calculated lactate T1 may indicate a modification to the model needs to be made to incorporate bSSFP signal decay for more accurate calculation of these parameters.
Recently acquired data in human cancer patients with a 5T GE SpinLab system offers promising results for high spatiotemporal imaging of pyruvate and lactate due to increased polarization, higher injection doses, larger organs, and, in some cases, higher lactate production (6–8). Based on the banding artifacts seen in Figure 3A due to the 15.3 ms TR, future work will focus on incorporating an improved selective RF pulse design (46) for better off-resonance sensitivity and shorter pulse widths in the bSSFP readout. Initial simulations suggest the feasibility of an optimized ∼2 ms pulse width and ∼7 ms TR, which would cut the imaging time by half and improve SNR due to the shorter effective echo time. Utilizing a linear ramp preparation scheme (16,47) can also reduce off-resonance sensitivity, and allow imaging of other produced metabolites, such as bicarbonate. These additions would help alleviate some potential issues with additional B0 and B1 inhomogeneity (19) problems arising from human-sized FOVs and clinical setups compared to the more homogenous acquisitions used here with the small preclinical volume coils. While the bSSFP sequence is relatively robust to B1 inhomogeneity (16), B0 inhomogeneity can be accounted for in part by the improved selective RF pulse design and the linear ramp preparation scheme and in part by the effects being lower for 13C acquisitions compared to 1H due to the four-fold lower gyromagnetic ratio. Furthermore, the spectral suppression pulses have a wide excitation bandwidth that would still successfully suppress alanine and pyruvate-hydrate that may shift due to the B0 inhomogeneity. Additionally, the suppression effect would still be high in the presence of B1 inhomogeneity since three pulses would be played out along with crusher gradients, although additional pulses could be added without any effect on the scan time.
Acknowledgments
We gratefully acknowledge Dr. Irene Marco-Rius, Dr. Robert Bok, Lucas Carvajal, and Mark van Criekinge for all their help with the experiments, as well as grant support from NIH P41EB013598, R01EB017449, R01CA183071 and R01EB013427. NIH K01DK099451 supported CVM.
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