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. Author manuscript; available in PMC: 2014 Dec 1.
Published in final edited form as: Magn Reson Med. 2013 Feb 6;70(6):10.1002/mrm.24616. doi: 10.1002/mrm.24616

3D-Mapping of Phosphocreatine Concentration in the Human Calf Muscle at 7T: Comparison to 3T

Prodromos Parasoglou 1, Ding Xia 1, Gregory Chang 1, Ravinder R Regatte 1
PMCID: PMC3657590  NIHMSID: NIHMS428386  PMID: 23390003

Abstract

Purpose

The development and implementation of a spectrally selective 3D-Turbo Spin Echo sequence for quantitative mapping of phosphocreatine concentration in different muscles of the lower leg of healthy volunteers both at 3T and 7T.

Methods

Nine healthy volunteers were recruited, all of whom where scanned at 3T and 7T. Three dimensional phosphocreatine concentration maps were obtained after images were corrected for B1 inhomogeneities, T1 relaxation weighting, and partial volume of fatty tissue in the muscles. Two volunteers performed plantar flexions inside the magnet, and the oxidative capacity of their muscles was estimated.

Results

Three dimensional phosphocreatine concentration maps were obtained, with full muscle coverage and nominal voxel size of 0.52 mL at both fields. At 7T a 2.7 fold increase of signal-to-noise ratio was achieved compared to 3T.

Conclusion

Imaging 31P metabolites at 7T allowed for significant increase in SNR compared to imaging at 3T, while quantification of the phosphocreatine concentration remained unaffected. The importance of such an increase in SNR is twofold, first higher resolution images with reduced partial volume effects can be acquired, and second multiple measurements such as dynamic imaging of phosphocreatine post exercise, 31P magnetization transfer, or other 1H measurements, can be acquired in a single imaging session.

Keywords: TSE imaging, 31P imaging, calf muscle, phosphocreatine, high field 31P-MRI

INTRODUCTION

In vivo Phosphorus Magnetic Resonance Spectroscopy (31P-MRS) can be used to non-invasively assess bioenergetics and metabolism of skeletal muscle. The detection of metabolites that play key roles in metabolism is an important feature of 31P-MRS, which has been used for over three decades to study healthy and diseased metabolic states in humans (113). The large chemical shift dispersion (~ 30 ppm) of 31P, together with its 100% natural abundance, results in high spectral resolution even at low field strengths (14).

The vast majority of 31P-MRS studies have been performed with the use of small surface coils that are placed over the muscle of interest that acquire spectra from the entire sensitive area of the coil (10). Such techniques result in the acquisition of high signal to noise ratio (SNR) data that, however, provide coarse spatial resolution and limited coverage of the muscle. It is well established that most human muscles are composed of a mixture of fibre types, hence when the volume of the examined tissue is large the data usually include signals from a heterogeneous mixture of fibre types (15). Furthermore, certain diseases such as type 2 diabetes, are known to result in spatially heterogeneous alteration of the metabolic activity in the skeletal muscles (16). In order to study the propagation of such diseases and even evaluate the efficacy of interventions it would be beneficial to develop new non-invasive tools to map the metabolic activity in large areas of the muscle with relatively high spatial resolution. Therefore, successful mapping of the metabolic activity of skeletal muscle, with the use of new 31P-MRI methods could become a powerful approach for the study of metabolic diseases affecting skeletal muscle, which have a rapidly increasing socioeconomic impact on both the young and the elderly.

Imaging of larger areas of the skeletal muscle can be achieved with the use of a combination of spectrally selective pulse sequences and volume radiofrequency (RF) coils (1721). Such techniques can result in images with voxel sizes significantly smaller than those obtained with 31P-MRS methods in clinically relevant acquisition times (22). Previous studies have shown that 31P-MRS experiments can significantly benefit from the use of an ultra high field system (i.e. 7T), with almost a three-fold increase in SNR compared to 3T(23,24). To the best of our knowledge, such comparison for 31P-MRI has not been reported in the literature. Therefore, in this study we present the implementation of a spectrally selective 3D-Turbo Spin Echo (TSE) sequence for the quantitative mapping of phosphocreatine (PCr) in different muscles of the lower leg of healthy volunteers that were examined both at 3T and 7T and discuss the advantages and disadvantages of performing 31P-MRI studies at high fields.

MATERIALS AND METHODS

Human Subjects

We recruited nine healthy volunteers (five female and four male, mean ± standard deviation age: 36.2 ± 11.4 yr, min/max 25/60 yr, mean ± standard deviation BMI: 24.3 ± 4.8, min/max 19.4/32.3), all of whom where scanned both on 3T and 7T MRI systems (Siemens Medical Solutions, Erlangen, Germany) using two geometrically identical dual-tuned 31P/1H quadrature knee coils (Rapid MRI, Ohio) with 18 cm inner diameter and 20 cm length. For each volunteer, the two scans were performed on different days. The New York University School of Medicine Institutional Review Board approved the examination protocol for the study, and all subjects provided written consent for participation in the study.

PCr Imaging with 3D-TSE

We obtained PCr images using a 3D-TSE sequence (described in our previous work (22)) that we developed using the ‘SequenceTree’ software (25). In our sequence, the 90° excitation pulse is narrowband Gaussian with 8 ms duration at 7T (theoretical bandwidth: 250 Hz), and 16 ms duration at 3T (theoretical bandwidth 125 Hz). Previously, we had experimentally measured the actual excitation bandwidth of the pulse at 122 Hz (3T) and 220 Hz (7T) (26). The excitation pulse is applied without the use of a slice selective gradient. After each spectrally selective excitation, acquisition starts at (or close to) the centre of the primary phase encoding direction (y-direction), with the effective echo time at 26 ms, followed by a train (ETL) of twenty four non-selective refocusing (180°) pulses, with 26 ms echo spacing. Spin echoes are sampled with a 2.5 kHz bandwidth. It has been shown previously that the signals of the ATP 31P resonances after excitation modulate both in amplitude and phase due to J-coupling among the individual resonances of that molecule (27,19). For the case of multi-echo sequences (such as the TSE employed in this study), ATP signals cancel out when the echo-spacing is set to 26 ms, hence minimizing any contamination of the PCr signal from off-resonance excitation of ATP.

We obtained images with field-of-view (FOV) of 220 × 220 × 200 mm to avoid any wrap-around artifacts due to the lack of slice selective gradients, with matrix size of 48 × 48 × 8, yielding a nominal voxel size of 0.52 mL, with TR = 12 s, and scan time of 3 min and 12 s per signal average. At 7T we acquired 3 averages (10 min acquisition time), while at 3T we acquired 5 averages (16 min acquisition time). We calculated the SNR of the PCr images as the mean signal intensity of the entire calf muscle divided by the standard deviation of the noise.

Calibration phantom images with comparable coil loading were acquired using the same pulse sequence at fully relaxed conditions (TR = 60 s). The phantom was used to derive the calibration curve of PCr as a function of signal intensity. The phantom consisted of two sealed cylindrical tubes containing different inorganic phosphate concentrations (25 and 50 mM).

Apparent T1 mapping with 3D-IR-TSE

The imaging sequence described above was slightly modified in order to measure the apparent T1 of PCr in the muscles of the lower leg by adding an inversion pulse to the 3D-TSE sequence. An adiabatic Wideband, Uniform Rate, and Smooth Truncation (WURST) shape pulse was used for inversion (28), with 5 ms duration and 250 Hz bandwidth at 7T and 125 Hz at 3T. At 7T, eight images were acquired at inversion times (TI) of 200, 700, 1000, 1800, 3000, 5000, 8000, 15000 ms, with 24 × 24 × 8 matrix size (zero-filled to 48 × 48 × 8 prior to reconstruction), and TR = 15 s. At 3T, seven images were acquired with 16 × 16 × 8 matrix size (zero-filled to 48 × 48 × 8 prior to reconstruction), TR = 30 s, TI: 200, 1500, 3000, 6000, 10000, 15000, 20000 ms. In both fields, images were acquired with the same FOV and frame of reference as the PCr images described above. The total acquisition time for the apparent T1 measurement was 18 min at 7T and 33 min at 3T.

B1 Mapping

We mapped RF inhomogeneities of the 31P channel of both coils using the Actual Flip-Angle Imaging (AFI) method (29). At 7T, we acquired images with TR1 = 500 ms, TR2 = 3500 ms, and 24 × 24 × 8m matrix size. At 3T, we acquired images with TR1 = 800 ms, TR2 = 4500 ms, and 16 × 16 × 8 matrix size. At both fields, the nominal flip angle was 60° with the same FOV and frame of reference as the PCr images. By dividing the two images, we calculated the actual to nominal flip angle ratio (r) for each voxel. The acquisition time of the B1 mapping sequence was 11 min at 3T and 12 min at 7T, and was included as part of the imaging protocol for each subject. The images in both fields were zero-filled to 48 × 48 × 8 prior to reconstruction.

1H Imaging

To verify muscle anatomy, we used two product sequences (i.e. a gradient echo [GRE] sequence and a TSE sequence). All 3D-1H images were acquired with the same FOV and frame of reference as the PCr images, with matrix size of 128 × 128 × 40.

Dynamic Imaging of PCr Resynthesis

We collected PCr images during and after exercise in two of the recruited subjects during the 7T scan. The participants performed plantar flexions using resistance bands for 2 min, at a frequency of 1 repetition per second. Images were acquired using a compressed sensing 3D-TSE technique with 2-fold acceleration, 12 s temporal resolution and 2.1 mL nominal voxel size that we described previously (30). Images were acquired with the same FOV and frame of reference as the resting PCr images. It is important to note, that the physical exercise was designed to decrease PCr without inducing acidosis, thus avoiding pH effects on mitochondrial ATP synthesis (26). The total time of the experiment was 10 min.

PCr Quantification

Prior to estimation of the apparent T1 values in the muscles, images acquired at different TIs were corrected for B1 inhomogeneities by normalizing the signal intensities using the following equation (31):

f1=sin(r·90)[1-cos(r·180)]2[1-cos(r·90)cos(r·180)] [1]

While PCr images were corrected for B1 inhomogeneities and T1 relaxation weighting using the following correction:

f2=1-E12sin(r·90)[1-cos(r·180)][1-E1cos(r·90)cos(r·180)] [2]

where E1 = exp(TR/T1). Signal intensities of the corrected PCr images were compared voxel-wise to the calibration line obtained from the phantoms to extract PCr concentration maps ([PCr]). These concentrations are in mmol/L tissue and can be converted to mmol/L cell water (mM) through multiplication by a conversion factor (in this case equal to 1.41) that takes into account the water content of the muscle (32).

Obese subjects (BMI > 30) can have some fat in the muscle tissue. In addition, many muscle weakening and metabolic disorders lead to an increase in adipose tissue in and around the muscles, which will drastically influence PCr quantification, if not accounted for. Thus, a measurement of absolute PCr concentration in muscle tissue mustinclude a method to correct for partial volume of the fatty tissue in those cases. In order to determine the volume fraction of fat/muscle in the tissue, we used high-resolution 1H images to segment the fat in the case of an obese male subject (BMI = 32.3). The binary images of the muscle (matrix size 128 × 128 × 40) were downsampled to the size of the PCr images (i.e. 48 × 48 × 8), using linear interpolation, which resulted in an estimate of the muscle volume fraction (nm) in the PCr images. The muscle volume fraction was used to correct signal intensity and account for the presence of fat.

A flowchart of the data acquisition and PCr quantification process is shown in Fig. 1.

Fig. 1.

Fig. 1

Flow chart of the data acquisition, image reconstruction and quantification processes for measuring PCr concentration in muscles of the lower leg. Inorganic phosphate phantoms are used to derive a calibration curve of PCr concentration as a function of signal intensity (top). Imaging of phantomes is performed under fully relaxed conditions (TR = 60 s), and therefore there is no T1 correction step in the processing. In-vivo PCr images (bottom) are corrected (B1, T1) and compared voxelwise against the calibration curve. In cases where significant fat infiltration is present in the muscles, 1H images can be used to estimate the fraction of fat/muscle in the tissue.

Oxidative Capacity Measurement

Skeletal muscle oxidative capacity was determined from the kinetics of PCr recovery after a 2-minute plantar flexion exercise. For each of the two participants, rate constants (kPCr) of PCr recovery were determined by fitting a single exponential curve to segmented volumes of interest (VOIs) in different muscles:

PCr(t)=ΔPCr[1-exp(-kPCrt)]+PCrex [3]

Where t is the time, PCrex is [PCr] at the end of exercise, ΔPCr = PCrrest- PCrex (10,33), with PCrrest measured through the static experiment described previously. Oxidative capacity (Qmax, mM ATP s−1) was determined as the product of kPCr and PCrrest.

RESULTS

Phosphorus B1 maps for a central slice of one of the volunteers are shown in Fig. 2. At 3T (right) the actual to nominal flip angle ratio (r) is close to 1 in the entire slice, while at 7T larger variations are observed. Corrections of RF field inhomogeneities were applied in the signal intensities of images acquired at different TIs (through Eq. 1) prior to T1 fitting, and to PCr images prior to [PCr] mapping through Eq. 2.

Fig. 2.

Fig. 2

Actual to nominal flip angle maps (r) of the same volunteer at 3T (right) and 7T (middle) together with an anatomical 1H image acquired at 7T (left).

Apparent T1 values were measured for each volunteer at 3T and 7T, using inversion recovery (IR)-3D-TSE. A series of seven images acquired at different inversion times (TI) are shown in Fig. 3a. At 7T, eight images were acquired for the same volunteer (Fig. 3b). An example of T1 fitting in the tibialis anterior muscle of the volunteer is shown in Fig. 3d. In this case apparent T1 was measured at 5.82 s at 3T, with a 38% reduction (3.61 s) at 7T. The mean ± standard deviation of the apparent T1 values measured in the different muscles of the lower leg of the volunteers are summarized in Table 1. The abbreviations used for the different muscles of the lower leg are: GL: Gastrocnemius medial head, Gastrocnemius lateral head, P: Peroneus (brevis and longus) S: Soleus, TA: Tibialis Anterior, TP: Tibialis Posterior. The average decrease of apparent T1 at 7T was 39% compared to 3T.

Fig. 3.

Fig. 3

Apparent T1 measurement of the same volunteer at 3T and 7T. a) At 3T seven images were acquired at different inversion times TI: 200, 1500, 3000, 6000, 10000 15000, 20000 ms. b) At 7T eight images were acquired at different TI: 200, 700, 1000, 1800, 3000, 5000, 8000, 15000 ms. c) Anatomical image acquired at 7T. d) T1 fitting in the tibialis anterior (TA). At 3T apparent T1 was 5.82 s, which reduced to 3.61 s at 7T.

Table 1.

Apparent T1 values in different muscles of the lower leg of the recruited volunteers (mean ± SD).

TA TP P S GL GM
3T 5.90 ± 0.27 6.06 ± 0.22 5.84 ± 0.31 5.76 ± 0.33 5.92 ± 0.15 5.83 ± 0.22
7T 3.55 ± 0.08 3.63 ± 0.10 3.66 ± 0.07 3.52 ± 0.14 3.57 ± 0.15 3.48 ± 0.09

We acquired PCr images with three signal averages at 7T, yielding an average SNR of 24.3 ± 2.5, while five signal averages at 3T resulted in SNR of 11.5 ± 0.8 (8.9 ± 0.6 for three averages). Therefore, for the same number of averages, a close to 2.7 fold increase was observed at 7T relative to 3T for the same nominal resolution. After correcting the signal intensity and comparing it to the calibration curve, we obtained [PCr] maps, an example of which is shown in Fig. 4 for a female volunteer at 3T and 7T, along with the anatomical 1H images. In the absence of adipose tissue in the muscle, [PCr] mapping can be performed by assuming constant water content in the muscle. In the presence of fat in the muscle tissue, this assumption can lead to underestimation of the [PCr]. An example of a male subject with BMI = 32.3 is shown in Fig. 5 (top left). By assuming constant water content in the muscle, big fluctuations in [PCr] maps can be observed (bottom left). These fluctuations show decreased [PCr] in voxels where there is more fat, as shown in the overlaid image (middle). To correct for the fraction of muscle and fat in a volume of interest, segmentation of the fat can be used (top right), which, after downsampling it to the size of the PCr image (i.e. 48 × 48 × 8), can give a measure of the fraction of muscle and fat in the voxels. This muscle fraction provides an estimate of the actual content within a segmented volume of interest (VOI), and is correcting the [PCr] within the VOI.

Fig. 4.

Fig. 4

PCr concentrations maps and respective anatomical 1H images at 3T (top) and 7T (bottom) from the same female volunteer after T1 and B1 correction. At 3T five averages where acquired (SNR = 11:1), while three signal averages at 7T yielded SNR of 25:1.

Fig. 5.

Fig. 5

Segmentation of fat in the muscle tissue. High resolution 1H datasets can be used to identify adipose tissue in the muscle (top left), that can be segmented (top right). [PCr] maps extracted without correction of fat content exhibit fluctuations (bottom left), in areas where voxels contain signals both from fat and muscle as can be seen by overlaying the 1H and 31P images (middle). Fat segmentations can be inverted and downsampled to the size of the PCr image, in order to estimate the muscle fraction in the voxels (nm). By selecting a VOI, [PCr] can be extracted by correcting for partial volume effects of fat infiltration.

Resting [PCr], together with the rate constant (kPCr) of PCr recovery following exercise, can be used to estimate the oxidative capacity in skeletal muscle. An example of resting [PCr] map of a 60 yr old female volunteer is shown in Fig 6. a. Following exercise, [PCr] levels are depleted in the tibialis anterior muscle, as can be seen in Fig. 6b. After sufficient time, [PCr] levels return to the resting values. By segmenting a VOI within the tibialis anterior we plotted the PCr resynthesis Fig. 6c and fitted Eq. 3 to the data. In this example, kPCr was measured at 0.027 s−1. In addition, the oxidative capacity (Qmax) in the TA muscle of this volunteer was measured at 0.69 mM ATP s−1.

Fig. 6.

Fig. 6

Measurement of oxidative capacity in the muscle of a 60 yr old female volunteer. a) [PCr] map at rest b) Dynamic imaging of PCr resynthesis post exercise at 12 s temporal resolution. PCr levels in the TA are depleted immediately after exercise (t = 12 s), and fully recover after sufficient time (t = 360 s). c) Evolution of [PCr] in the TA muscle post-exercise, together with the fit of Eq. 3 to the data in order to estimate kPCr. Oxidative capacity of the TA muscle (Qmax ) was measured at 0.69 mM ATP s−1.

DISCUSSION

We have demonstrated the feasibility of acquiring [PCr] maps in large volumes of the lower leg muscles, both at 3T and 7T with nominal voxel size of 0.52 mL at both fields. This is important, because [PCr] maps are required in order to measure oxidative capacity in different muscles of healthy and diseased subjects, as well as metabolic fluxes using magnetization transfer (MT) imaging experiments. In this work, we observed a 2.7-fold increase in SNR at 7T compared to 3T, which is consistent with SNR increase observed in 31P-MRS studies (24). Higher SNR at 7T, allowed for acquisition of higher resolution apparent T1 maps and B1 maps. At the same time, the decrease of apparent T1 at 7T, allowed for faster T1 measurements using shorter TR (15 s at 7T, compared to 30 s at 7T). Mapping of PCr concentration in several muscles of the lower leg using surface coils, would require repositioning of the coil and repetition of the experiment several times in order to provide a similar coverage of the muscle to our methods.

It can be argued that imaging of a single metabolite of the 31P spectrum (i.e. PCr) lacks important information about intracellular pH, inorganic phosphate (Pi) and ATP that are readily available with MRS acquisitions, normally performed in coarser volumes of the muscle with the use of surface coils. It is important to note, however, that there are very important studies currently performed with unlocalized MRS methods that rely on the measurement of the PCr peak alone. Benerjee and co-workers (13) studied the efficacy of creatine supplementation in ambulatory Duchenne muscular dystrophy patients using unlocalized 31P-MRS, by monitoring the increase of PCr longitudinally. Such studies can be performed using our method, in order to understand the spatial variability of the disease propagation and the progress of the treatment. Moreover, 31P magnetization transfer (MT) experiments, which provide information about the steady state metabolite turnover, therefore reflecting mitochondrial activity are also performed with unlocalized 31P MRS (10,34). Such measurements rely on the measurement of the PCr signal when metabolites that are chemically exchanging (i.e. Pi and ATP) are saturated. Hence, it is possible to spatially map the PCr signal with and without saturation of the chemically exchanging moiety with our method by adding an MT preparation module. For absolute quantification of the metabolic fluxes, in order to compare data between subjects, mapping of the baseline concentration of PCr is required, which is the subject of the current work. Finally, as we showed here imaging of the dynamic recovery of PCr post exercise, is also possible using a similar imaging method with a temporal resolution of 12 s, which is using the resting [PCr] in order to quantify oxidative capacity in muscle. The oxidative capacity measurements obtained in this study, although in need of replication, are well within the range reported in the literature measured with 31P-MRS (35,36).

One of the limitations of our work is that [PCr] maps are extracted without accounting for local T2 variations. These local variations in T2 will increasingly affect PCr quantification when images are heavily T2 weighted. Our method is using a centric k-space sampling pattern with effective echo time of 26 ms that minimizes T2 weighing in voxels. At this effective echo time, using localized T2 values reported in the literature (23), we expect a maximum of 0.5% error introduced in the 3T measurement and 6% error at 7T due to the lack of T2 mapping. It is important to note, that T1 values measured for PCr in this study are not the true longitudinal relaxation times, but rather apparent T1 values, since PCr undergoes chemical exchanges with other metabolites (37). True T1 rates can be measured with magnetization transfer experiments, taking into account the chemical exchange rates between the different metabolites. Compared to previously reported apparent T1 values in the calf muscle, our measurements appear to be systematically lower. Using localized 31P-MRS methods at 3T, El-Sharkawy et al. (38), reported mean T1 values of 6.8 s, while Meyerspeer et al. (39) reported mean T1 values of 6.4 s. Bogner et al. (23), used unlocalized 31P-MRS and measured mean T1 values of 6.7 s. In this work, using 31P-MRI, we measured mean T1 values in different muscles that range between 5.8 and 6.1 s (Table 1). Similarly, at 7T Bogner et al. (23), reported T1 values of 4.0 s, while our measurements in the different muscle range between 3.5 and 3.6 s. There are several instrumental factor that can introduce errors in T1 measurements, especially when acquired in an imaging context. T1 measurements, assume ideal 90° and 180° pulses; in the case of imaging experiments there are several sources of spatially-dependent systemic errors in the RF pulse angle due to non-uniform RF irradiation, and hence in the measured relaxation times (40). In addition, whenever narrowband excitation pulses are used (such as the spectrally-selective Gaussian pulses used in our method), the RF profiles of those pulses can introduce additional errors to measured T1 values (41).

In our exiting protocol, quantification of PCr requires the acquisition of several measurements (i.e. PCr imaging, B1 mapping, T1 mapping, and 1H anatomical imaging). The total acquisition time at 3T is 62 min, while at 7T it is 42 min. There are different challenges in the quantification process of PCr concentration at 3T and 7T. At 3T, B1 inhomogeneities are less severe compared to 7T (as can be seen in Fig. 2). Therefore, omitting B1 measurements can reduce the total experimental time at 3T by 11 min, resulting in a 53 min acquisition. At 7T, with a TR of 12 s and T1 in the muscles close to 3.5 s (Table 1), there is very little T1 weighing in the images (less than 5%), and therefore localized T1 measurements can be omitted, or replaced by faster, unlocalized measurements, which can reduce the acquisition time to 24 min. In both cases, all measurements can be performed within one imaging session which typically lasts 60 min. However, at 7T the increase in SNR and the reduction in T1 values can allow for faster (by a factor of two) acquisitions.

The results presented in this study show that imaging 31P metabolites at 7T allows a significant (almost threefold) boost in SNR compared to imaging at 3T, while quantification of the PCr concentration remains unaffected. This increase is larger than the increase in 1H studies (close to twofold) due to the chemical shift anisotropy effect in the case of 31P (42). The importance of such an increase in SNR is twofold, first higher resolution images with reduced partial volume effects can be acquired, and second multiple measurements (i.e. dynamic imaging of PCr, MT, or other 1H measurements) can be acquired in a single imaging session, which typically lasts between 45 and 60 min.

Table 2.

PCr concentration (in mM) in the muscles of the lower leg measured at 3T and 7T

TA TP P S GL GM
3T 7T 3T 7T 3T 7T 3T 7T 3T 7T 3T 7T
Vol.1 31.2 32.2 30.5 30.3 30.2 31.1 29.2 31.8 32.7 32.9 30.5 30.3
Vol.2 34.1 32.6 32.5 33.7 32.5 31.8 33.1 34.1 31.5 31.2 32.1 33..3
Vol.3 27.2 28.2 27.3 28.1 28.9 28.5 26.9 27.9 27.7 27.5 28.0 28.6
Vol.4 32.3 31.1 32.3 32.8 30.8 31.3 31.1 32.2 33.7 32.8 33.3 32.8
Vol.5 34.5 33.8 34.8 33.5 33.9 33.2 32.0 33.5 33.1 32.9 34.8 34.2
Vol.6 25.7 24.5 25.3 24.9 24.7 25.1 24.8 25.2 25.3 26.1 25.8 25.5
Vol.7 27.3 28.9 28.1 27.2 27.9 27.5 28.1 27.8 28.5 28.2 29.1 28.5
Vol.8 25.5 24.5 25.2 25.3 24.7 24.5 24.1 24.5 25.5 24.8 25.1 24.9
Vol.9 29.4 30.2 28.5 29.8 29.5 29.7 28.5 29.5 28.3 29.2 28.7 29.1
Mean 29.7 29.6 29.4 29.5 29.2 29.2 28.6 29.6 29.6 29.5 29.7 29.2
SD 3.5 3.4 3.3 3.4 3.1 3.0 3.1 3.5 3.2 3.1 3.3 3.2

Acknowledgments

Grant sponsor: The authors would like to acknowledge the support by research grants RO1 AR053133, RO1 AR056260, and RO1 AR060238 from the National Institute of Arthritis and Musculoskeletal and Skin Diseases (NIAMS), National Institutes of Health (NIH).

This research work was partly supported by National Institutes of Health grants R01-AR053133, R01-AR050260 and R01-AR060238

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