Correlation between sodium and T1ρ dispersion in human calf muscle
Ping Wang1,2, Henry Zhu1,2, Hakmook Kang3, and John C. Gore1,2

1Institute of Imaging Science, Vanderbilt University Medical Center, Nashville, TN, United States, 2Department of Radiology and Radiological Sciences, Vanderbilt University Medical Center, Nashville, TN, United States, 3Department of Biostatistics, Vanderbilt University Medical Center, Nashville, TN, United States

Synopsis

Simultaneous acquisitions of sodium concentrations and T in muscles from different aged individuals show that sodium values increase with age and are accompanied by increases in the dispersion of spin-lock relaxation rates (i.e. the difference in R = 1/T at low and high locking frequencies). A previous study has suggested that such differences in Rat different fields reflects the contribution of chemical exchange to relaxation, which is known to dominate transverse relaxation at high fields, and potentially reflects GAG concentration in cartilage. In this study, we found ΔRin muscle was smaller than in cartilage at 3T but was measureable and showed a strong correlation with sodium content in muscle. The increase in sodium with age possibly corresponds to the loss of muscle mass and increase in extracellular volume within a voxel, but this appears to be accompanied by an increase in exchangeable protons as well.

Introduction

Both sodium and T imaging have demonstrated their potentials to explore tissue biochemical composition prior to morphologic changes,1, 2 and their correlation has been verified in cartilage osteoarthritis,2 in which cartilage degeneration is characterized by the loss of glycosaminoglycan (GAG) associated with proteoglycan within cartilage extracellular matrix.3 In cartilage, T value is known to increase with GAG loss, and also, because GAG is negatively charged, it endows cartilage with a negative fixed charge density which attracts free-floating positive counter-ions, such as Na+.4 The purpose of this study is to investigate the correlation between sodium content and Tvalues in human muscle, which might provide more specific and complementary information for muscular diseases.

Methods

Six healthy subjects (ages 24 to 87, median age 49) were recruited for this study with written informed consent obtained. MR imaging was performed on a Philips 3T Achieva system (Philips Healthcare, Cleveland OH, USA) with a Rapid sodium quadrature knee coil (Rapid Biomedical GmbH, Rimpar, Germany) for sodium imaging. Four calibration phantoms (NaCl aqueous solution with [Na]: 10mM, 20mM, 30mM, and 40mM) were scanned together with calf for computing tissue relative sodium concentration through linear trend analysis. Sodium imaging parameters: 3D GRE, FOV: 192×192mm2, 7 slices at a thickness of 30mm, bandwidth=434Hz/pixel, TR/TE/FA=50ms/0.99ms/85°, NEX=64, resulting in a total scan time of 15min02sec. T data were acquired by the scanner body coil (T pre-pulse5 followed by a Turbo Spin Echo (TSE) sequence), a single axial slice (with the same isocenter as sodium imaging) was scanned with parameters: FOV: 192×192mm2, pixel size: 1×1mm2, slice thickness: 4mm, TR/TE=4000ms/10ms, TSE factor=15, NEX=1. Five spin-locking times (TSL) [2ms, 22ms, 42ms, 62ms, 82ms] were combined into a single scan for T calculations, resulting in a scan time of 4min04sec. The T measurement was repeated at different spin-locking fields (FSL) [0Hz, 100Hz, 300Hz, 500Hz] to evaluate the T dispersion with locking frequency in muscle. After acquisition, a T map at each spin-locking frequency was calculated by fitting the signal intensity vs TSL to a three-parameter mono-exponential model. Both sodium content and T value were calculated on a pixel-wise basis at the muscle ROI (see Figure 1), and the median values were used for the correlation analysis. The variation of the relaxation rate R (= 1/T) with locking field was plotted and the dispersion between low and high locking frequencies was used as a measure of chemical exchange effects within muscle by analogy to previous studies in cartilage.6 We specifically evaluated the correlation between ΔR = R(0Hz) - R(500Hz) and sodium content in muscle, which likely reflects the correlation between exchangeable protons and sodium in muscle.

Results

Figure 2 shows an example of sodium image and R map (FSL=300Hz) of a 24y old male subject. Figure 3 plots the R dispersion in muscle for all the six subjects, note that little dispersion is observed, though the degree of dispersion appears to increase with age. Further, Figure 4 illustrates the correlation between ΔR = R(0Hz) - R(500Hz) vs sodium content, a strong linearship is observed (R2=0.961).

Discussion

GAG is an important component in the extracellular matrix of both cartilage and muscle. A previous study has suggested that ΔRreflects the contribution of chemical exchange to relaxation, which is known to dominate transverse relaxation at high fields7,8, and potentially reflects GAG concentration in cartilage. In this study, we found ΔRwas smaller than in cartilage at 3T but was measureable and showed a strong correlation with sodium content in muscle. The increase in sodium with age possibly corresponds to the loss of muscle mass and increase in extracellular volume within a voxel, but this appears to be accompanied by an increase in exchangeable protons as well. Whether this increase corresponds to GAG in muscle remains to be investigated.

Acknowledgements

No acknowledgement found.

References

1. Regatte R, Akella S, Lonner J, et al. T1rho relaxation mapping in human osteoarthritis (OA) cartilage: comparison of T1rho with T2. JMRI. 2006; 3(4):547-553.

2. Borthakur A1 Mellon E, Niyogi S, et al. Sodium and T1rho MRI for molecular and diagnostic imaging of articular cartilage. NMR Biomed. 2006; 19(7):781-821.

3. Goto H, Iwama Y, Fujii M, et al. A preliminary study of the T1rho values of normal knee cartilage using 3T-MRI. Eur J Radiol. 2012; 81(7):e796-803.

4. Madelin G, Lee J, Regatte R, et al. Sodium MRI: methods and applications. Prog Nucl Magn Reson Spectrosc. 2014; 79:14-47.

5. Witschey W, Borthakur A, Elliott M, et al. Artifacts in T1ρ-Weighted Imaging: Compensation for B1 and B0 Field Imperfections. JMR. 2007; 186(1):75–85.

6. Wang P, Block J, Gore J. Chemical Exchange in Knee Cartilage Assessed by R1ρ (1/T1ρ) Dispersion at 3T. MRI. 2015; 33(1):38-42.

7. Cobb J, Xie J, Gore J. Contributions of chemical and diffusive exchange to T1rho dispersion. MRM. 2013; 69(5):1357-1366.

8. Cobb J, Xie J, Gore J. Contributions of chemical exchange to T1rho dispersion in a tissue model. MRM. 2011; 66(6):1563-1571.

Figures

Figure 1. Muscle ROI includes five muscle subgroups: anterior compartment (tibialis anterior and extensor digitorum longus) – red, peroneus – green, soleus – blue, medial gastrocnemius – cyan, and lateral gastrocnemius – gold. Sodium content and Tvalue were calculated pixel-wisely on the ROI and the median values were used for the correlation analysis.


Figure 2. (A) Sodium image of calf muscle. The calibration phantoms are shown at the bottom of the image: left to right corresponds to [Na] of 10mM, 20mM, 30mM, and 40mM. (B) R map at the same position of the calf muscle.

Figure 3. R dispersion evaluation for all the six subjects.

Figure 4. ΔR (= R(0Hz) - R(500Hz)) vs sodium content in calf muscle for all the six subjects, with linear regression displayed.



Proc. Intl. Soc. Mag. Reson. Med. 24 (2016)
4515