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1 Division of Nuclear Medicine, Department of Radiology, and 3 Surgical Service, Massachusetts General Hospital, and 2 Shriners Burns Institute, Boston 02114; and Departments of 4 Radiology and 5 Surgery, Harvard Medical School, Boston, Massachusetts 02115
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ABSTRACT |
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Positron emission tomography
(PET) with H215O was used as an in vivo,
relatively noninvasive, quantitative method for measuring regional blood flow to hindlimb skeletal muscle of anesthetized dogs. A hydrooccluder positioned on the femoral artery was used to reduce flow, and high-flow states were produced by local infusion of
adenosine. Three to four measurements were made in each animal. Approximately 40 mCi of H215O were injected
intravenously, and serial images and arterial blood samples were
acquired over 2.5 min. Data analysis was performed by fitting tissue
and arterial blood time-activity curves to a modified,
single-compartment Kety model. The model equation was also solved on a
pixel-by-pixel basis to yield maps of regional skeletal muscle blood
flow. After each PET determination, flow was measured with
radioactive microspheres. Results of the PET measurements demonstrated
that basal flow to hindlimb skeletal muscle was 3.83 ± 0.36 ml · min
1 · 100 g
1
(mean ± SE). This value was in excellent agreement with the
microsphere data, 3.73 ± 0.32 ml · min
1 · 100 g
1
(P = 0.69, not significant). Adenosine infusion
resulted in flows as high as 30 ml · min
1 · 100 g
1, and the
PET and microsphere data were highly correlated over the entire range
of flows (r2 = 0.98, P < 0.0001). We conclude that muscle blood flow can be accurately measured
in vivo by PET with H215O and that this
approach offers promise for application in human studies of muscle
metabolism under varying pathophysiological states.
hindlimb; microspheres; Doppler flow probe; dogs
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INTRODUCTION |
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ALTERATIONS IN TISSUE PERFUSION are common in a variety of pathophysiological states, including neoplasia, acute inflammation, and peripheral obstructive arterial disease (17, 44). Furthermore, changes in blood flow and, consequently, the supply of substrates and nutrients to tissues and organs and removal of metabolites must be considered as an important feature in metabolic regulation (10, 12). Because muscle metabolism changes with aging (51), is altered by many disease processes (40), and is involved in the adaptation of body energy and protein metabolism (49, 50), an accurate and precise method for the in vivo, relatively noninvasive quantification of blood flow in this tissue would be of considerable value.
Numerous tracer techniques, including use of radioactive inert-gas clearance (5, 8, 9, 11, 16, 28) and radioactive microspheres (13, 30, 42, 48), have been applied in measurements of muscle blood flow. Most of these measurements are based on the Kety-Schmidt principle (22, 23); namely, the rate of washout of a diffusible tracer from tissue is proportional to blood flow. Although several of these techniques have been used successfully in human metabolic and clinical studies, problems such as tissue specificity, requirements of prolonged measurements, and tissue sampling remain. Hence, we studied the validity of the positron emission tomography (PET) H215O method in a canine model, before carrying out physiological studies in both healthy subjects and hospitalized patients, for this purpose.
Intravenous bolus injection of H215O was used in the present study to measure regional blood flow with PET in dog skeletal muscle. Multiple measurements were performed in six postabsorptive dogs. A modified Kety model, which takes into account the time delay of the arterial bolus and dispersion of blood radioactivity, was used to fit the tissue and blood time-activity curves (TACs). The results of the PET measurements were compared with microsphere data [a "gold standard" for tissue perfusion (3)] acquired after each H215O injection.
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MATERIALS AND METHODS |
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Materials. Microspheres (15 µm) radiolabeled with 113Sn, 103Ru, 96Nb, 46Sc, or 141Ce and suspended in 0.9% saline and 0.01% Tween 80 to reduce aggregation were obtained from Dupont Radiopharmaceutical Division (Billerica, MA). Adenosine was purchased from Sigma Chemical (St. Louis, MO), and pentobarbital sodium (65 mg/ml) was purchased from Anthony Products (Arcadia, CA).
Preparation H215O. 15O2 was produced by the 14N2(d,n)15O2 reaction by using N2 gas with 1% O2 carrier in a 250-ml target at 68 psi pressure. A 6-min irradiation at 40 µA produced ~2 Ci of 15O2. The 15O2 gas was mixed with H2 and passed over a palladium catalyst heated to 450°C to produce H215O by oxidation. The water vapor was collected in a 10-ml vial containing 2 ml of isotonic saline. An aliquot of this solution was drawn through a 0.22-µm filter into a sterile, disposable syringe for injection.
Animal preparation.
Mongrel dogs, weighing 25-30 kg, were obtained from a commercial
supplier (Buckshire, Perkasie, PA) and housed in the Massachusetts General Hospital (MGH) animal farm. The animals were cared for in
accordance with the guidelines set forth by the Committee on Laboratory
Resources, National Institutes of Health Council [DHEW (DHHS)
Publication No. (NIH) 78-23, DRR/NIH, Bethesda, MD 20892], and the
protocol was approved by the MGH Committee on Animal Research. Before
the tracer studies, the dogs were fasted overnight, and surgery was
performed on the following morning by using aseptic techniques. The
anesthesia used was an intravenous bolus of pentobarbital sodium (15 mg/kg) followed by a constant infusion (1 mg · kg
1 · h
1). The
surgical procedures included implantation of venous, arterial, and
atrial catheters, hydrooccluders, and Doppler flow probes. Polyethylene
catheters (PE-90 or PE-260; Clay Adams, Parsippany, NJ) with Silastic
tips (Dow Corning, Midland, MI) were inserted into the left jugular
vein, left carotid and brachial arteries, and left atrium, as
previously described (18). For placement of Doppler flow
probes, incisions were made in the groin regions, and 1.5-cm segments
of the femoral arteries were surgically isolated. The left femoral
artery was instrumented with a 6-mm hydrooccluder (Biomedical Products,
Silver Spring, MD). Doppler flow probes (size 2R, Transonic System,
Ithaca, NY) were placed on both femoral arteries ~3 mm distal to the
position of the occluder. A 0.7-mm cannula for adenosine infusion was
inserted into the lumen of the left femoral artery just proximal to the
occluder. Precise placement of this cannula was achieved by insertion
via the deep femoral artery.
PET imaging.
Anesthetized and mechanically ventilated dogs were positioned and
stabilized in the gantry of a PC-4096 plus PET camera (Scanditronix, Uppsala, Sweden). The primary imaging characteristics of the PC-4096 camera are in-plane and axial resolutions of ~6 mm full width at
half-maximum (FWHM), 15 contiguous images (PET slices) of 6.5-mm separation, and a sensitivity of ~5,000
cycles · s
1 · µCi
1
(41). In all animals, a 9.5-cm segment of muscle in the
upper hindlimb (upper limit ~3 cm from the hip joint) was imaged.
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Flow probe measurements. To determine the reliability of using the flow probe for setting specific (reduced and increased) flow states, a preliminary study was performed with five dogs. In this investigation, simultaneously with PET measurements, blood flow through the left femoral artery was measured with the flow probe over a range of constrictor settings with previously reported methods (14); however, microsphere measurements were not performed. For these PET studies, larger ROIs (total 20-30 cm3 of tissue) were used for constructing the TACs. At the conclusion of each PET study, the flow probe was recalibrated by controlled volumetric collection of blood drained from the femoral artery. The combined PET-microsphere studies were performed with the same procedures.
Microsphere measurements of blood flow.
Microsphere measurements of skeletal muscle blood flow were performed
with the reference sample technique, assuming 100% first-pass extraction, as previously described (14). The microspheres
were checked for size uniformity and absence of aggregation and
fragmentation by light microscopy with a calibrated reticle.
Approximately 2.5 × 107 spheres (113Sn,
103Ru, 96Nb, 46Sc, or
141Ce) were injected into the left atrium for each
measurement of skeletal muscle blood flow. This quantity was selected
to ensure that at least 1,000 microspheres were contained in the
reference and tissue samples. With this number of spheres, the
distribution variability of flows is expected to lie within 10% of the
mean distribution at the 95% confidence level (14).
Freshly drawn heparinized blood (20 ml) was used to flush each sample
of microspheres from a specially designed chamber into the left atrium
over 20 s. Before injection, the chamber containing the
microspheres was vortexed for 5 min to ensure uniform suspension.
Radioactivity in the chamber was measured before and after
administration to precisely determine the injected dose. Beginning
15 s before injection of the microspheres, a reference blood
sample was collected from the brachial artery with a Harvard infusion
pump (Harvard Apparatus, South Natick, MA) at a constant rate (10 ml/min) over 2 min into preweighed heparinized vials. Volume was
replaced with 0.9% saline via the jugular venous catheter. Tissue
samples were excised as described above and weighed, and radioactivity
was measured with a well-type gamma counter with computerized
corrections for spillover between photopeaks (CompuGamma 1282, LKB-Wallac, Turku, Finland). Blood flow was calculated by using the
relationship
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(1) |
1 · g
1), S is the
rate of arterial blood withdrawal after microsphere injection (ml/min),
Ao is the microsphere radioactivity trapped in a muscle sample (counts/min), As is the microsphere radioactivity in
the blood sample (counts/min), and mo is the weight of the
muscle sample (g).
Kinetic modeling.
The configuration of the compartmental model used for data analysis is
illustrated in Fig. 2. F is in
milliliters per minute per 100 g, k2 is
washout rate per minute, and C represents tissue concentration of
H215O. The arterial blood concentration of
H215O (Ca) represents the true
input function to the tissue and can be calculated from the measured
blood concentration (Cs) as follows.
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(2) |
is radioactivity decay
constant of 15O.
Because arterial blood was sampled from the carotid artery, a small
time delay and dispersion were expected to occur. We used a simple
exponential dispersion function to approximate these effects, as
expressed in the following equation (27)
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(3) |
and p are time delay and
dispersion parameters, respectively.
After Eqs. 2 and 3 were combined and the
integration was performed, the final mathematical model can be
summarized by the following equation
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(4) |
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were
estimated by nonlinear least square fitting by using the MATLAB
software package. Because trial fittings demonstrated that dispersion
was negligible for the present study, the dispersion parameter
p was fixed at 30 per minute, which corresponds to minimal
dispersion. In the fitting procedure, instead of calculating k2, 1/V was determined; V is the distribution
volume or partition coefficient of water in muscle. The relation
between k2 and 1/V can be expressed by following
equation
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(5) |
and dispersion
p by applying weighted least squares in a voxel-by-voxel
fashion. First, the value of
was determined by nonlinear least
squares fitting of Eq. 4 to the data extracted from a large
ROI placed over muscle. Dispersion was set at 30 per minute. After
delay and dispersion are taken into account, the Kety flow model for an
elemental volume was integrated to yield
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(6) |
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Statistical analysis. As discussed in more detail below, statistical comparisons of H215O-PET and microsphere measurements are complicated by the fact that both methods are subject to unknown biases and statistical fluctuations. Rigorous statistical methods do not exist for characterizing the differences in a definitive manner.
Two approximate analyses were performed. In the first analysis, data obtained with PET and microspheres in the basal state were compared by using the paired Student's t-test. A second analysis was performed by using linear regression, assuming that the microsphere data were both unbiased and measured with negligible random errors. Additional simulation studies were performed to assess the likelihood that data satisfying the null hypothesis could yield results similar to those found in this study. The simulation assumed that the expected value of both PET and microsphere measurements was identical. Normally distributed random noise was added to the expected values for both methods, and the results were analyzed as above to yield a slope and intercept. Values similar to those found from the measured data occurred once in 10,000 simulations, again suggesting some difference between the methods. Further characterization of differences that appear to be on the order of 5-10% in the normal physiological range is hampered by a lack of detailed knowledge of the bias in the methods.| |
RESULTS |
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Figure 3 shows a least squares fit
of a TAC, for the average concentration of
H215O in hindlimb muscle, to the kinetic model
presented in Fig. 2. All values have been corrected for radioactive
decay. The time dependence of the residuals derived from the least
squares procedure is also illustrated. These results show that the time
dependence of the concentration of H215O in
skeletal muscle is well described by the model. This is further supported by the random nature of the residuals.
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The results of the preliminary studies to establish the utility of the
Doppler flow probe setting skeletal muscle blood flows to approximate
values for the combined PET and microsphere studies are illustrated in
Fig. 4. Because the flow probe measures
total flow to the limb, blood flow to muscle was estimated by assuming that ~80% of total limb blood flow perfuses this tissue (6, 34). As illustrated in Fig. 4, after this correction was made, flow probe and PET measurements of muscle blood flow were not significantly different. Furthermore, hindlimb muscle blood flows determined by the two methods were highly correlated
(r2 = 0.92, P < 0.001).
Least squares fitting of the hindlimb TACs acquired after injection of
H215O yielded values for the volume of
distribution of labeled water and the time delay from the site of blood
sampling (carotid catheter) to the muscle bed that were 0.23 ± 0.073 ml/g and 0.012 ± 0.018 min, respectively.
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Figure 5 shows the values for basal
hindlimb blood flow determined by microsphere techniques and PET with
H215O. The results of the PET measurements
demonstrated that basal flow to hindlimb skeletal muscle was 3.83 ± 0.36 ml · min
1 · 100 g
1
(mean ± SE). This value was in excellent agreement with the
microsphere data, 3.73 ± 0.32 ml · min
1 · 100 g
1
(P = 0.69, not significant), and values reported in the
literature (6, 29, 36, 43). By use of the occluder and
adenosine infusion, flows over the range of ~2-30
ml · min
1 · 100 g
1 were
achieved. Adenosine infusion did not affect flows recorded with the
contralateral flow probe. As illustrated in Fig.
6, over this ~15-fold range of blood
flows, the PET (FlowPET) and microsphere (FlowµSph) data were highly correlated
(r2 = 0.98, P < 0.0001),
and regression analysis yielded the following equation
(r2 ~ 0.98)
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(7) |
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The effect of acquisition time on the flow measurements was evaluated by comparing the model estimates that were obtained with 1, 1.5, 2, and 2.5 min of data. Compared with the average flows determined from 1.0 min of data, flows estimated from 1.5-, 2.0-, and 2.5-min acquisitions were 98.7 ± 5.4, 97.0 ± 5.5, and 96.3 ± 5.8% of this value, respectively. These data indicate that blood flow estimations from least squares fitting have a minor dependency on sampling time, with a difference of <10% in most cases. Although average estimated flow was slightly lower when data acquired over longer collection periods were analyzed, fitting errors were also lower. These effects were slightly greater at higher flows and might explain the bias illustrated in Fig. 6.
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DISCUSSION |
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Most measurements of muscle blood flow in intact animals and conscious humans have been performed by plethysmography (21) or dilution techniques (26, 37). However, these techniques only provide information about whole limb flow, which includes contributions from bone, skin, and fat. Although muscle blood flow can be directly quantitated by 133Xe clearance (5, 8, 9, 11, 16) and hydrogen electrode techniques (31, 32), both procedures have significant technical limitations. Because of the long half-life of the tracer, 133Xe clearance is not applicable for repeated measurements after physiological interventions. In the hydrogen electrode procedure, the requirement of placing electrodes in each muscle group to be evaluated limits sampling, particularly in human studies. PET has been used extensively for measuring regional cerebral blood flow (rCBF). The most commonly used procedures for these measurements are bolus injection of H215O and continuous inhalation of C15O2 (which is converted to H215O in the lungs). Both techniques have been carefully studied and validated, and they are now routine procedures at most PET facilities (2, 7, 15, 19, 20, 24, 38, 47).
Application of these techniques for measuring regional blood flow to skeletal muscle is simpler and potentially more accurate compared with measurements of rCBF. Because skeletal muscle is macroscopically a homogeneous tissue compared with brain, mixing of different tissues, such as gray and white matter, is less of a problem. The resolution of present PET cameras allows partial volume effects to be ignored for muscle measurements. Furthermore, although effects of vascular volume can introduce errors in rCBF (25), this is less important for muscle because vascular space accounts for only ~1.5% of total muscle, compared with ~4.5% for brain (39, 45, 52).
The values for basal blood flow to skeletal muscle reported here
(3.83 ± 0.36 ml · min
1 · 100 g
1) are in excellent agreement with previously reported
results [3.12 ± 1.55 ml · min
1 · 100 g
1
(43), 3.7 ± 0.6 ml · min
1 · 100 g
1
(36)]. Also, the present technique yields flow
values comparable to those based on PET studies by using continuous
inhalation of C15O2 (44).
The agreement with microsphere measurements made at essentially the same time as the PET measurements was excellent. As noted above, standard regression methods assume that the reference measurement has negligible error, compared with the test observations. At basal flow, paired t-tests support the hypothesis that PET and microsphere values are indistinguishable. When standard linear regression is performed over a much larger range, hypothesis testing indicates small but statistically significant bias. Whether this is really the case is debatable. In any event, these systematic errors are unlikely to be of importance in physiological or clinical investigation of human subjects, the area in which PET is used.
Although the PET and microsphere techniques yielded similar blood flows, the partition coefficient for water in muscle determined by PET was considerably lower than the value assumed in continuous inhalation studies or measured by equilibration of tritiated water in tissue and arterial blood. This discrepancy is not surprising and is likely due to limitations of the kinetic model, which must estimate partition coefficients by extrapolating the predicted H215O PET curves to infinite time. Other sources of bias were noted above. For example, data acquired 1, 1.5, 2, and 2.5 min after injection yielded similar values for blood flow, within 10% in most cases. However, the estimated flows were generally lower when more data were used for fitting, and this is consistent with previous findings for cerebral blood flow. Although use of less data appears to yield better estimates of flow (less bias), the results are associated with larger estimation errors. From these considerations, we propose that a 2.5-min imaging time is a good compromise for measuring muscle blood flow. Although the bias associated with this measurement time is not critical for most clinical applications, when extremely accurate measurements of blood flow are required for research studies, corrections that used calibration curves such as that illustrated in Fig. 6 can be applied to the PET estimates.
Compared with conventional methods for measuring skeletal muscle blood flow, PET with H215O has several distinct advantages: 1) the method is relatively noninvasive and requires only imaging and arterial blood sampling; 2) cannulation of specific vessels is not required and flow to any muscle region can be measured; 3) because of the short physical half-life of 15O, repetitive measurements are possible; and 4) whole body imaging is possible. Recently developed PET cameras have much larger fields of view than the PC-4096, namely, 16-25 cm. With these devices, most of the musculature can be imaged with five to six sequential injections of H215O. Furthermore, when these devices are operated in three-dimensional (3D) mode, sensitivity is increased five- to sixfold, and the dose of tracer can be reduced proportionately. As illustrated by the blood flow maps in Fig. 7, these types of studies can yield detailed quantitative blood flow maps that are not available by any other technique.
Although our results validate the utility of PET with H215O for measuring blood flow to skeletal muscle, the study had several limitations. Because skeletal muscle varies greatly in fiber type and previous investigations have demonstrated that blood flow is not uniform within and between muscle of various types (3, 4, 33), not making muscle- or muscle group-specific measurements was a limitation of the study. However, by acquiring a contrast computerized tomography (CT) scan of the region imaged by PET, these measurements could have been performed. By coregistering the PET and CT data sets (1), ROIs confined to anatomically specific types of muscle can be outlined on the CT data and transferred to the PET images to calculate these flows. Application of this technique is somewhat limited by the relatively low resolution and lack of 3D imaging capabilities of the PC 4096 PET camera that was used in our studies. However, most newer PET imaging devices have superior resolution (~4.5 mm FWHM) and sensitivity when operated in 3D mode. Also, PET cameras with even higher resolution (~2.0 mm FWHM) will soon be introduced into clinical practice. In addition, hybrid PET-CT imaging systems have recently become available. Precise measurements of blood flow to specific types of muscle will be greatly facilitated with these instruments because PET and CT data sets can be acquired without moving the subject. When these techniques are applied to humans, the larger size of the specific muscles to be studied will greatly enhance the quality of the data. Another limitation of H215O PET is the requirement of an arterial line for acquiring the input function for kinetic modeling. This problem can also be resolved by the use of high-resolution PET-CT devices. With these instruments, CT images can be used to localize large arteries and construct ROIs, which can be transferred to PET data sets for defining the arterial input function. Because large blood pool structures can be included in the imaging field, this approach will be particularly useful for measuring blood flow to upper extremity and paraspinal musculature. Overall, these limitations are related to specific details of our study and not to the general approach of using PET with H215O for measuring blood flow to skeletal muscle.
Conclusions. Regional muscle blood flow determined by PET with H215O was in excellent agreement with microsphere measurements and consistent with previously reported results with other techniques. Because of the precision and accuracy of this technique, it should be of considerable value in future applications for human metabolic and clinical studies. The short physical half-life of 15O allows extension of the technique to pre- and postintervention studies and/or time course studies in which frequent, intermittent measurements are required.
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ACKNOWLEDGEMENTS |
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The authors acknowledge the excellent technical support from Stephen Weise and Avis Loring, as well as the efforts of the MGH Cyclotron Laboratory staff.
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FOOTNOTES |
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This work was supported in part by grants from the Shriners Hospitals for Children and National Institute of General Medical Sciences Grants P50-GM-21700, T32-GM-07035, and T32-CA-09362.
Address for reprint requests and other correspondence: A. J. Fischman, Division of Nuclear Medicine, Massachusetts General Hospital, Boston, MA 02114 (E-mail: Fischman{at}pet.mgh.harvard.edu).
The costs of publication of this article were defrayed in part by the payment of page charges. The article must therefore be hereby marked "advertisement" in accordance with 18 U.S.C. Section 1734 solely to indicate this fact.
10.1152/japplphysiol.00445.2001
Received 10 May 2001; accepted in final form 11 December 2001.
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