Improved fitting of 129Xe spectroscopy identifies three dissolved-phase resonances in the human lung
Scott H. Robertson1,2, Elianna A. Bier1,2, Rohan S. Virgincar1,3, and Bastiaan Driehuys1,2,3,4

1Center for In Vivo Microscopy, Duke University Medical Center, Durham, NC, United States, 2Medical Physics Graduate Program, Duke University, Durham, NC, United States, 3Department of Biomedical Engineering, Duke University, Durham, NC, United States, 4Department of Radiology, Duke University Medical Center, Durham, NC, United States

Synopsis

Hyperpolarized 129Xe experiences chemical shifts between the lung airspaces, interstitium, and capillary beds, enabling functional information to be directly probed. However, in order to realize the potential of these chemical shifts, the spectrum must be carefully decomposed. Previous methods have assumed only two dissolved-phase resonances exist in the human lung and have used inconsistent 0 ppm reference frequencies. Here we present novel non-linear fitting of complex exponentially decaying FIDs and demonstrate that the dissolved phase signal can be robustly decomposed into three dissolved-phase resonances. We present updated frequencies and widths using and appropriately adjusted 0 ppm reference value.

Purpose

Recently, efforts have intensified to exploit the chemical shifts and solubility of 129Xe to characterize pulmonary function and pathology1. Because diseases such as idiopathic pulmonary fibrosis (IPF) restrict the diffusion of gases between the airspaces, interstitial tissue, and capillary beds, identifying regional variability among these compartments could provide urgently needed metrics to detect and diagnose disease, as well as to assess progression or therapy response2,3. To date, all of this work has assumed that the dissolved-phase signal consists of two resonances – one at ~198 ppm that represents 129Xe in the barrier tissue and plasma, and one at ~217 ppm that represents 129Xe transiently bound to hemoglobin molecules in red blood cells (RBCs)3. However, here we demonstrate with non-linear curve fitting of the complex 129Xe FIDs that the dissolved phase consists of 3 resonances. Furthermore, we use a more robust gas-phase reference4 to report the frequencies and linewidths of these resonances from a cohort of healthy normal subjects.

Methods

Spectra from 7 healthy normal subjects (38±16.9 years old) were acquired on a 1.5T GE Healthcare 15M4 EXCITE MRI scanner with a Quadrature 129Xe vest coil (Clinical MR Solutions, Brookfield, WI). Each subject inhaled ~200 mL of isotopically enriched 129Xe (85%), hyperpolarized to ~20% via spin-exchange optical pumping (Model 9800, Polarean, Inc., Durham, NC). Subjects held their breath for ~15 seconds while 200 FIDs were acquired with 512 samples/FID, TE/TR = 0.875/20 ms, BW = 8.06 kHz, 1.2 ms 3-lobe sinc pulse, flip angle ≈ 18°. The first 100 frames were discarded to avoid measuring magnetization that had accumulated downstream of the capillary beds. The remaining 100 frames were averaged and then decomposed into a series of exponentially decaying FIDs. Each component signal (denoted by $$$n$$$) was described by four parameters: an amplitude ($$$a_n$$$), starting phase ($$$\phi_n$$$), resonant frequency ($$$f_n$$$), and linewidth ($$$w_n$$$), then summed according to

$$s_{fit}\left(t\right)=\sum_{n=0}^{n_{components}} {a_ne^{i{\phi}_n}e^{2{\pi}if_nt}e^{-{\pi}w_nt}}$$

We used the trust-region-reflect algorithm5 to minimize the complex least-squares residual error between the measured time domain FID and fitted result. Our open-source MATLAB toolkit can be downloaded from www.civm.duhs.duke.edu/NmrSpectroscopy for academic and research use. Resonant frequencies were reported in ppm units using the alveolar component of the gas-phase resonance. This resonance was determined to arise at -2.90 ppm relative to true zero when corrected for Xe-O2, Xe -Xe shifts, as well bulk magnetic susceptibility shifts6,7,8.

Results

Robust spectroscopic fitting was achieved across all 7 subjects. Because the fitting used the complex signal and was performed in the time domain, no linebroadening, zeropadding, or constraints were required in any subject. Figure 1 illustrates a representative spectrum and fits using 2 (left) and 3 (right) dissolved-phase peaks. By including an additional dissolved-phase peak, the residual error was reduced to the level of the noise and became unpatterned. Table 1 provides the mean±stdev of the frequencies and linewidths for each dissolved-phase peak.

Discussion

Complex spectral curve fitting makes clear that the dissolved phase of 129Xe in the human lung consists of three stable Lorentzian-shaped resonances. Including the additional peak only minimally affects the frequency and linewidth of the RBC peak; however the two “barrier” peaks are shifted from and broader than the previous single barrier peak. We hypothesize that these two “barrier” peaks are affected by inflammatory and fibrotic process, and could serve as useful indicators of disease progression in diseases such as IPF. Finally, we hope to account for the 3rd dissolved-phase peak in future imaging techniques in order to spatially localize and identify their source.

Acknowledgements

NIH/NHLBI R01 HL105643, R01HL126771, and NIBIB P41 EB015897.

References

1. Kaushik SS, Freeman MS, Yoon SW, Liljeroth MG, Stiles JV, Roos JE, Foster M, Rackley CR, McAdams HP, Driehuys B. 2014 Measuring diffusion limitation with a perfusion-limited gas—Hyperpolarized 129Xe gas-transfer spectroscopy in patients with idiopathic pulmonary fibrosis. Journal of Applied Physiology. 2014, 117:577-585.

2. Kaushik SS, Robertson SH, Freeman MS, He M, Kelly KT, Roos JE, Rackley CR, Foster WM, McAdams HP, Driehuys B. Single-breath clinical imaging of hyperpolarized 129Xe in the Airspaces, Barrier, and Red Blood Cells Using an Interleaved 3D Radial 1-Point Dixon Acquisition. Magn Reson Med. 2015 May 18. doi: 10.1002/mrm.25675.

3. Qing K, Ruppert K, Jiang Y, Mata JF, Miller GW, Shim YM, Wang C, Ruset IC, Hersman FW, Altes TA, Mugler JP 3rd. Regional mapping of gas uptake by blood and tissue in the human lung using hyperpolarized xenon-129 MRI. J Magn Reson Imaging. 2014, 39(2):346-359.

4. Virgincar RS, Robertson SH, Degan A, Schrank G, He M, Nouls J, Driehuys B. Establishing an accurate reference frequency for in vivo 129Xe spectroscopy. ISMRM. 2016. Abstract ID 5540 (submitted)

5. Coleman TF, Li Y. An Interior, Trust Region Approach for Nonlinear Minimization Subject to Bounds. SIAM Journal on Optimization. 1996, 6:418–445.

6. Jameson CJ, Jameson AK. Density dependence of 129Xe N.M.R. chemical shifts in O2 and NO. Mol Phys. 1971, 20(5):957-959.

7. Jameson AK, Jameson CJ, Cohen SM. Temperature and density dependence of 129Xe chemical shift in in Xenon gas. J Chem Phys. 1973, 59(8):4540-4546.

8. Wagshul ME, Button TM, LI HF. Liang A, Springer CS, Zhong K, Wishnia, A. In vivo MR imaging and spectroscopy using hyperpolarized 129Xe. Magn Reson Med. 1996, 36(2):183-191.

Figures

Figure 1. Fitting of dissolved-phase spectrum into 2 peaks (left) has residual error which is eliminated by fitting with a third dissolved-phase peak (right).

Table 1. Mean±stdev of the resonant frequencies and linewidths of 2- and 3-peak fits of the dissolved-phase 129Xe spectrum.



Proc. Intl. Soc. Mag. Reson. Med. 24 (2016)
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