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Am J Physiol Heart Circ Physiol 287: H2754-H2761, 2004. First published August 19, 2004; doi:10.1152/ajpheart.00144.2004
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Microvascular remodeling and accelerated hyperemia blood flow restoration in arterially occluded skeletal muscle exposed to ultrasonic microbubble destruction

Ji Song,1 Patrick S. Cottler,1 Alexander L. Klibanov,2 Sanjiv Kaul,1,2 and Richard J. Price1

1Department of Biomedical Engineering and 2Cardiovascular Division, University of Virginia, Charlottesville, Virginia 22908

Submitted 12 February 2004 ; accepted in final form 11 August 2004


    ABSTRACT
 TOP
 ABSTRACT
 METHODS
 RESULTS
 DISCUSSION
 REFERENCES
 
We showed previously that microbubble destruction with pulsed 1-MHz ultrasound creates a bioeffect that stimulates arteriogenesis and a chronic increase in hyperemia blood flow in normal rat muscle. Here we tested whether ultrasonic microbubble destruction can be used to create a microvascular remodeling response that restores hyperemia blood flow to rat skeletal muscle affected by arterial occlusion. Pulsed ultrasound (1 MHz) was applied to gracilis muscles in which the lateral feed artery was occluded but the medial feed artery was left intact. Control muscles were similarly occluded but did not receive ultrasound, microbubbles, or both. Hyperemia blood flow and number of smooth muscle (SM) {alpha}-actin-positive vessels, >30-µm arterioles, and capillaries per fiber were determined 7, 14, and 28 days after treatment. In ultrasound-microbubble-treated muscles, lateral region hyperemia blood flow was increased at all time points and restored to normal at day 28. The number of SM {alpha}-actin vessels per fiber was increased over control in this region at days 7 and 14 but decreased by day 28, when larger-diameter arterioles became more prevalent in the medial region. The number of capillaries per fiber was increased over control only at day 7 in the lateral region and only at days 7 and 14 in the medial region, indicating that the angiogenesis response was transient and likely did not contribute significantly to flow restoration at day 28. We conclude that ultrasonic microbubble destruction can be tailored to stimulate an arteriogenesis response that restores hyperemia blood flow to skeletal muscle in a rat model of arterial occlusion.

revascularization; microcirculation; angiogenesis; ultrasonics; contrast media


THE PROGRESSION OF ATHEROSCLEROTIC lesions in cardiovascular disease often leads to reduced resting and hyperemia blood flow to affected tissue. Current surgical interventions to restore flow cannot be applied to all patients. In those who are not candidates for surgical revascularization, therapeutic neovascularization may be an alternate option. Studies based on the introduction of cytokines (13, 27, 35), growth factors (25, 32, 36), growth factor genes (4, 26), or proangiogenic cells (11, 12, 15) to the site of reduced perfusion demonstrate the clinical potential of this strategy.

In addition to their primary role in generating diagnostic ultrasound images (16), contrast agent microbubbles have been used for therapeutic purposes, including targeted drug and gene delivery to the arterial vasculature (33, 34) and tissue (19, 21, 28, 30). We showed previously (29) that ultrasonic (1 MHz) microbubble destruction elicits arteriogenesis and enhanced hyperemia blood flow in normal rat skeletal muscle. In small animals, at frequencies below clinical levels, microbubble destruction creates pores in capillary walls (24, 29, 30). We hypothesize that this bioeffect recruits proarteriogenic inflammatory cells, platelets, and/or marrow-derived stem cells to sites of microbubble destruction. Compared with other neovascularization strategies, this technique may allow visualization, targeting, and treatment with minimally invasive ultrasound.

We tested the hypothesis that ultrasonic microbubble destruction can restore hyperemia flow to skeletal muscle in a rat model of arterial insufficiency. One of the two gracilis muscle feed arteries was occluded while the other was left intact. Intravenously injected microbubbles were destroyed with 1-MHz ultrasound to stimulate arteriogenesis between the intact feeder and the low-perfusion zone. The deposition of arterially injected 15-µm fluospheres was used as a hyperemia flow index. Angiogenesis, the growth of new capillaries from existing vessels, and arteriogenesis, the formation and luminal expansion of arterioles and arteries, were measured with Bandeiraea simplicifolia (BS-1) lectin and smooth muscle (SM) {alpha}-actin staining, respectively.


    METHODS
 TOP
 ABSTRACT
 METHODS
 RESULTS
 DISCUSSION
 REFERENCES
 
Microbubble preparation. Microbubbles were prepared by a standard perfluoropropane-exposed sonicated dextrose albumin approach (20). A 1% solution of serum albumin in normal saline was placed in a flask with a blanket of octafluoropropane gas (Flura, Newport, TN) above the aqueous phase. Microbubbles were generated by sonication (30 s) with an ultrasound disintegrator (XL2020; Misonix, Farmingdale, NY) equipped with an extended 0.5-in. titanium probe.

Ultrasound application. Animal studies were approved by the Animal Research Committee at the University of Virginia. All animals were anesthetized with an intraperitoneal injection of ketamine (80 mg/kg) and xylazine (8 mg/kg). The left jugular vein was cannulated for microbubble injection. The skin overlying the gracilis muscle to be treated was reflected back, ultrasound gel was placed over the muscle, and a 1-MHz unfocused transducer (Panametrics) with a diameter of 0.75 in. was held ~3 mm over the muscle. An ultrasound pulse was applied every 5 s for 2 min. Each pulse consisted of 100 consecutive 1-MHz sinusoids of 1-V peak-to-peak amplitude from a waveform generator (Tektronix AFG-310). The waveform signal was amplified by a 55-dB radio frequency power amplifier (ENI 3100LA). As measured with a hydrophone (model GL-0085; Specialty Engineering Associates), peak negative pressure was 0.5 MPa, corresponding to a mechanical index [peak negative pressure/(frequency)1/2] of 0.5.

Acute capillary disruption response. The effect of microbubble dose on the number of capillary disruptions per unit muscle mass was determined in Sprague-Dawley rats weighing between 270 and 280 g. Microbubbles (0.2 ml), in one of six concentrations (n = 3 rats/concentration) ranging from 2.5 x 107 to 3.0 x 109 microbubbles/ml, were injected through the jugular vein cannula, and ultrasound was applied to a gracilis muscle with the protocol described in Ultrasound application. The number of capillary disruptions per muscle was immediately counted with a Zeiss Makroskop with a fiber optic illuminator. The wet weight of the muscle was then measured to yield the total number of capillary disruptions per unit muscle mass.

Arterial occlusion and sham treatment protocols. Sprague-Dawley rats weighing between 250 and 280 g were randomly assigned to one of the four treatment groups designated in Table 1. Muscle specimens derived from these four treatment groups were defined according to the interventions the rat received [i.e., arterial occlusion (AO), sham surgery for AO (Sham), microbubble injection (MB), surgical intervention to position the transducer (Sur), ultrasound application (US), and no interventions (Norm)]. To eliminate any potential left-right data bias, these interventions were performed on alternating sides as the experiments proceeded. After anesthetization and placement of a jugular vein catheter, arterial occlusions were made with 6.0 silk at the sites indicated in Fig. 1. Arteries feeding Sham-treated muscles were freed from surrounding connective tissue but were not ligated. Group I animals were allowed to recover at this point. Group II and III animals were prepared for ultrasound treatment. For group II animals, ultrasound was applied on one side to generate a AO+Sur+US-treated muscle. The transducer was then placed over the contralateral AO+Sur-treated muscle but not activated. For group III animals, AO+MB+Sur+US-treated muscles were generated when microbubbles (0.2 ml at 2.0 x 109 microbubbles/ml) were injected intravenously and ultrasound was applied. This concentration of microbubbles was found to be the minimum dose that yielded the maximum number of capillary disruptions per unit muscle mass (Fig. 2). For AO+MB+Sur-treated muscles, the transducer was then placed over the contralateral muscle but not activated. The skin over each muscle was closed with absorbent sutures, and the animals were allowed to recover.


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Table 1. Animal group designations

 


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Fig. 1. Schematic illustration of gracilis muscle (dark gray shading), arterial occlusion sites (X), and lateral and medial gracilis muscle regions from which flow and remodeling measurements were made (light gray shading). Lateral and medial muscle regions were bordered by their respective feed arteries, the anterior and posterior edges of the gracilis muscle, and lines that paralleled the respective feed arteries 4 mm into the muscle. The presence of preexisting collaterals in this muscle was reported previously (22, 23).

 


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Fig. 2. Capillary disruptions per unit muscle mass plotted as a function of microbubble dose. The curve plateaus at 400 x 106 microbubbles, the dose that was used throughout the remainder of the study. SE bars at the lowest microbubble dose (4.0 x 106) are hidden by the symbol.

 
Hyperemia blood flow. Specimens were assigned for flow measurements and immunochemistry as described in Table 2. Flows were measured under hyperemia conditions to better isolate structural microvascular remodeling from short-term adjustments in vasoactivity. Animals were anesthetized as described in Ultrasound application, and gracilis muscles were exposed and superfused with 37°C Ringer solution containing 10–4 M adenosine for 30 min. A cannula was placed in the carotid artery and advanced to the aortic arch, and 1.5 ml of 15-µm red fluospheres (Molecular Probes) were injected. We previously (31) used the same volume and concentration of fluospheres to measure absolute flow in normal gracilis muscle. These values closely matched published results (5, 9, 10), verifying that the fluosphere injection had no significant influence on flow. Group I muscles were processed for absolute flow measurements as previously described (31). Group II–IV animals were euthanized, and gracilis muscles were fixed in their in situ positions by a 30-min superfusion of 4% paraformaldehyde in PBS. Dissected gracilis muscles were placed on microscope slides, and the number of fluospheres per field of view was counted in both the lateral and medial muscle regions (Fig. 1) with a Nikon TE-300 fluorescence microscope and a x20 objective.


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Table 2. Assignment of specimens for flow measurements and microvessel labeling

 
Immunochemistry and specimen analysis. After quantification of fluosphere deposition, lateral and medial muscle regions were cryosectioned. Cryosections were incubated overnight in 1:200 FITC-conjugated monoclonal anti-SM {alpha}-actin (clone 1A4; Sigma) and 20 µg/ml tetramethylrhodamine isothiocyanate-conjugated BS-1 lectin (Sigma) in PBS at 4°C.

Two tissue sections from each muscle, one representing the medial and one representing the lateral region, were analyzed with a Nikon TE-300 microscope and a x20 objective. Digital images of every field of view within each cryosection were acquired with a Bio-Rad MicroRadiance confocal scanner. The numbers of SM {alpha}-actin-positive microvessels, arterioles >30 µm in diameter, and capillaries were normalized to total muscle fibers for each whole cross section. Complete cross sections were used instead of random fields of view because doing so significantly reduced data variability. Arterioles with diameters >30 µm were differentiated from venules by their thicker media and/or proximity to a paired thin-walled venule of larger diameter. Diameters of noncircular vessel cross sections were derived from inner circumference tracings.

Statistics. All data are presented as means ± SE. Data in groups I–III were analyzed by two-way repeated-measures ANOVA followed by pairwise comparisons with Tukey's t-tests. Comparisons of AO+MB+Sur+US to Norm and AO+MB+Sur to Norm were made with Student's t-tests. Significance was assessed at P < 0.05.


    RESULTS
 TOP
 ABSTRACT
 METHODS
 RESULTS
 DISCUSSION
 REFERENCES
 
Microbubble dose-capillary disruption response curve. Figure 2 depicts the effects of microbubble dose on the number of capillary disruptions per unit muscle mass. With doses of 4–40 x 106 microbubbles, a linearly proportional capillary disruption response was observed. However, at ~40 x 106 microbubbles, an inflection point is reached and, although the curve still appears essentially linear, its slope decreases dramatically and the capillary disruption response is no longer proportional to microbubble dose. The curve plateaus at a dose of 400 x 106 microbubbles, indicating that this is approximately the minimum dose that will yield the maximum response. Therefore, this value was used throughout the remainder of the study.

Hyperemia flows. To provide a baseline characterization of the occlusion model without ultrasound or microbubble interventions, we measured absolute hyperemia flows in group I muscles (Fig. 3A). Acutely, the arterial occlusions reduced whole muscle hyperemia flow by 64%. At day 14, AO hyperemia flows remained 36% below Sham muscle levels, indicating that endogenous microvascular remodeling was not sufficient to return flow to baseline levels. In basic agreement with this result, compared with Norm muscle, statistically significant 30–40% reductions in hyperemia flow were observed in the lateral region of AO+MB+Sur muscles at days 7 and 14 (Fig. 3B). Medial region flow levels were also ~30–40% below Norm levels, but these differences were not statistically significant.



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Fig. 3. A: absolute hyperemia flows in AO{dagger} and Sham-treated muscles. *Significantly different (P < 0.05) from Sham group at same time point. B and C: gracilis muscle hyperemia blood flows as assessed by fluosphere deposition. L, lateral region; M, medial region. Significant differences (P < 0.05): from lateral (*) and medial (**) regions of AO + MB + Sur group at same time point; from lateral region of Norm group ({dagger}).

 
Muscles exposed to the complete ultrasound-microbubble treatment (AO+MB+Sur+US) exhibited significant increases in lateral region hyperemia flow compared with contralateral AO+MB+Sur control muscles at all time points (Fig. 3B). Statistically, hyperemia flow was restored to Norm levels by day 7 in both regions of the AO+MB+Sur+US group, demonstrating that the treatment restored lateral region hyperemia flow well before it was restored by endogenous remodeling in the AO+MB+Sur control group at day 28. Moreover, in the AO+MB+Sur+US group, lateral region hyperemia flow continued to trend up until day 28, when the mean was within 5% of Norm levels. Hyperemia flows were measured in group II animals to test whether microbubbles were required for flow enhancement and restoration. As shown in Fig. 3C, neither the lateral nor the medial muscle regions of AO+Sur+US muscles exhibited significant flow differences compared with AO+Sur contralateral controls. Moreover, no significant differences were observed when AO+Sur+US and AO+Sur specimens were compared with AO+MB+Sur.

Arteriogenesis. Independent of treatment, neither the gracilis muscle nor the distal hindlimb exhibited signs of necrosis. Figure 4, A–D, depicts SM {alpha}-actin labeling in representative cross sections 14 days after treatment. In the lateral region images, SM {alpha}-actin-positive vessel density in AO+MB+Sur+US muscles appears greater than in AO+MB+Sur controls. These results are quantified in Fig. 4E, which indicates that, compared with AO+MB+Sur, AO+MB+Sur+US muscles exhibit 40% and 28% increases in number of SM {alpha}-actin-positive vessels per fiber at days 7 and 14, respectively. The number of SM {alpha}-actin vessels per fiber in AO+MB+Sur+US muscles was also significantly greater than Norm at these time points. Furthermore, in the medial region of AO+MB+Sur+US muscles, the number of SM {alpha}-actin vessels per fiber was increased over that in AO+MB+Sur muscles at days 14 and 28. No differences were seen between AO+MB+Sur and Norm muscles, indicating that the occlusion alone did not elicit significant new SM {alpha}-actin-positive vessel formation. At day 14, the number of >30-µm-diameter arterioles in the medial region of AO+MB+Sur+US muscles was more than twofold greater than in AO+MB+Sur muscles (Fig. 4F). This value remained ~60% above that in AO+MB+Sur muscles at day 28. Compared with Norm muscles, the number of >30-µm-diameter arterioles per fiber was considerably elevated at all time points for both AO+MB+Sur and AO+MB+Sur+US muscles (Fig. 4F). We believe that these 5- to 10-fold differences between Norm muscles and the other groups are primarily caused by the baseline distribution of arteriolar diameters. As we showed previously (31), 10- to 30-µm arterioles are abundant in normal gracilis muscle, but >30-µm arterioles are scarce. Thus, when a large percentage of these smaller arterioles undergo luminal expansions of 10–20 µm, dramatic increases occur in the >30-µm category.



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Fig. 4. A–D: confocal images of smooth muscle (SM) {alpha}-actin-labeled microvessels in lateral (A, C) and medial (B, D) regions of AO+MB+SUR+ultrasound application (US) (A, B) and AO+MB+Sur (C, D) muscles. Images were taken 14 days after treatment. Bar, 100 µm. E: number of SM {alpha}-actin-positive vessels per fiber in Norm and lateral and medial regions of AO+MB+Sur+US and AO+MB+Sur muscles. Significant differences (P < 0.05): *from lateral region of AO+MB+Sur at same time point and Norm; **from medial region of AO+MB+Sur. F: number of >30-µm-diameter arterioles per fiber from AO+MB+Sur+US, AO+MB+Sur, and Norm muscles 7, 14, and 28 days after treatment. **Significantly different (P < 0.05) from medial region of AO+MB+Sur muscles.

 
Angiogenesis. Measurements of number of capillaries per fiber were made from BS-1 lectin-stained cross sections (Fig. 5). As illustrated in Fig. 5, A–D, and quantified in Fig. 5E, the lateral region of the AO+MB+Sur+US group exhibited a substantial, but transient, angiogenesis response. Specifically, at day 7, the number of capillaries per fiber was increased by 47% over the lateral region of AO+MB+Sur muscles and by 81% over Norm muscles. However, these values were not significantly elevated over AO+MB+Sur or Norm muscles at days 14 or 28. In the medial region of AO+MB+Sur+US muscles, the number of capillaries per fiber was increased over that in AO+MB+Sur muscles by 50% and 38% at days 7 and 14, respectively. By day 28, no differences in the number of capillaries per fiber were observed.



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Fig. 5. A–D: confocal images of Bandeiraea simplicifolia (BS-1) lectin-labeled microvessels in lateral (A, C) and medial (B, D) regions of AO+MB+Sur+US (A, B) and AO+MB+Sur (C, D) muscles. Images were taken 7 days after treatment. Bar, 25 µm. E: number of capillaries per fiber in Norm and lateral and medial regions of AO+MB+Sur+US and AO+MB+Sur muscles. Significant differences (P < 0.05): from lateral (*) and medial (**) regions of AO+MB+Sur group at same time point.

 

    DISCUSSION
 TOP
 ABSTRACT
 METHODS
 RESULTS
 DISCUSSION
 REFERENCES
 
The major finding from this study is that microbubble destruction with 1-MHz ultrasound may be used to accelerate the restoration of hyperemia blood flow to skeletal muscle affected by arterial occlusions. Arteriogenesis occurred at sites both proximal and distal to an occluded feed artery, consistent with the hypothesis that accelerated flow restoration is due to an increase in the number and caliber of SM-coated collateral vessels connecting the patent feed artery to the region of low perfusion. Angiogenesis also occurred; however, this response diminished by day 28, when hyperemia flow was restored, thereby suggesting that capillary growth had a minimal effect on flow. Our results indicate that targeted microbubble destruction with ultrasound at subclinical frequencies may have potential as a means for stimulating therapeutic microvascular remodeling.

In many ways, the progression of the microvascular remodeling response observed in the current study parallels that observed by other investigators (6, 8). Here, we noted a sharp increase in capillary and SM-coated vessel density at an early time point (day 7), followed by the enhancement of hyperemia flow and a reduction in capillary density at a later time point (day 28). Although the occlusion sites were different, and no therapeutic intervention was used, a sharp increase in capillary density is first observed in rabbit hindlimb skeletal muscle after femoral artery occlusion (6). This angiogenesis response subsides, however, only 5 days after the intervention. Concomitant with the return of capillary density to normal levels, the addition of angiographically visible collateral vessels becomes more pronounced. This arteriogenesis response, which continues for a considerable duration, is thought to be the primary mechanism for flow restoration (6, 8). Consistent with this hypothesis, our data show that hyperemia flow restoration occurred after capillary density had returned to normal, when the number of >30-µm-diameter arterioles per fiber was significantly above that in Sham control muscles in the medial region.

It is important to note that the number of >30-µm-diameter arterioles per fiber in the lateral region was never significantly greater than that in Sham muscles. Moreover, in apparent contrast to previous studies (6, 8), this quantity trended down from day 7 to day 28 in both the Sham and treated groups. This apparent discrepancy may be due to the different stimuli used or to the fact that the vessels examined here (ranging from 30 to 100 µm in diameter) are angiographically invisible and, therefore, not as well studied with regard to arteriogenic remodeling. Indeed, it is probable that the arterioles bridging the capillaries and the collateral arteries exhibit unique remodeling behaviors. Nonetheless, the fact that lateral region hyperemia flows increased in concert with the number of larger-diameter arterioles in the medial region emphasizes the importance of arteriogenesis distal to the arterial occlusion. Finally, although it may be reasonable to speculate that high-flow collateral vessels supplying tissue regions near the occlusion site remain patent, their longevity remains to be studied.

Other topics for future studies will be the physiological, cellular, and molecular mechanisms that elicit remodeling. In both this study and a previous study (31), control experiments indicated that neither microbubble injection alone nor ultrasound application alone was capable of enhancing remodeling and flow. This suggests that, at this particular frequency and power, the interaction of microbubbles with ultrasound is required. However, aside from this observation, little is known of the remodeling mechanisms. Capillary disruption likely alters local hemodynamics, tissue oxygenation, and capillary permeability to growth factor diffusion, and all of these factors could stimulate angiogenesis and/or arteriogenesis. Furthermore, even though microbubbles must be present, disruption of the capillary wall may not be the sole stimulus. Inertial microbubble cavitation also creates thermal, shock wave, and sonoporation effects that could subsequently stimulate microvascular remodeling.

Another potential mechanism is the recruitment of inflammatory cells, platelets, and/or marrow-derived stem cells to sites of microbubble destruction. It is well known that inflammatory cells and cytokines, as well as platelets, may be used to stimulate therapeutic remodeling (11, 12, 15). Clinically, the cytokine granulocyte-macrophage colony-stimulating factor enhances collateral flow in the myocardium of patients with extensive coronary artery disease (27). Monocyte chemoattractant protein-1 (MCP-1) administration is also an effective means for stimulating arteriogenesis (13, 35). However, when MCP-1 is given to apolipoprotein E-knockout mice, collateralization is accompanied by neointimal formation and plaque development (35). Obviously, this is an important side effect that must be considered in all therapeutic neovascularization strategies. Although we have yet to address this issue, we have observed directly (29) that vessel wall disruption is limited to only capillaries; therefore, we speculate that large vessels are not affected. Clearly, future studies will be needed to confirm this speculation.

A number of technical issues must also be resolved if this technique is to find clinical utility. Transducers capable of imaging at one frequency and destroying microbubbles at another will be required for locating and targeting intervention sites. Additionally, the bioeffect appears limited to small species (1, 18). This may be due to a number of reasons, including smaller capillary diameters and reduced ultrasound power attenuation. Clearly, for the method to be adapted to humans, a much better understanding of the physical interactions between low-frequency ultrasound, inertially cavitating microbubbles, and the capillary wall is needed. Finally, because the microvascular remodeling response will only occur when intravascular microbubbles are present, the method may not be effective within tissue regions lacking adequate perfusion. Instead, its use may be limited to the borders of perfusion deficit zones. However, even with this potential limitation, the current study demonstrates that microbubble destruction at the transitional area between low- and adequate-perfusion zones may be beneficial.

One advantage of our experimental model was that we could examine both flow and remodeling in tissue regions defined by their proximity to the arterial occlusions in a single specimen. However, because these tissue regions had small volumes, flow measurement errors caused by low total fluosphere entrapment were a concern. We addressed these potential errors in several ways. First, we replaced our standard protocol for fluosphere processing and fluorescence measurements (31) with direct fluosphere counts in the regions of interest, thereby eliminating errors associated with fluorescence retrieval. Similar methods, in which direct counts of fluospheres are made by microscopy, have been successfully used to measure blood flow in the pancreas (3, 17) and regions of the kidney (14). For simplicity, and because comparisons between AO+MB+Sur and AO+MB+Sur+US muscle regions did not require absolute measurements, we used fluosphere deposition as an index of hyperemia flow for this portion of the study. Second, we compared the day 14 fluosphere count difference between AO+MB+Sur and Norm muscles (30–40%) to the day 14 absolute flow difference between AO and Sham muscles (36%). Aside from microbubble injection, which we have shown to have no effect on flow in normal muscle (31), these interventions are identical; therefore, the close agreement of these flow differences supports the measurement. Third, it has been shown that using smaller numbers of spheres does not cause a systematic over- or underestimation of flow. Instead, more experiments are simply needed to demonstrate the significance of any given difference under these conditions (2). Indeed, using appropriate statistical testing, we were able to show the significant differences in Fig. 3. Finally, other studies have shown that, when biological differences dominate measurement error, accurate flow measurements can be obtained by using smaller numbers of spheres (7).


    ACKNOWLEDGMENTS
 
R. J. Price is supported by a grant from the Whitaker Foundation (RG980402; Rosslyn, VA) and a grant from the National Heart, Lung, and Blood Institute (NHLBI; RO1 HL-66307). S. Kaul is supported by RO1 grants (HL-48890, HL-65704, and HL-66034) from NHLBI.


    FOOTNOTES
 

Address for reprint requests and other correspondence: R. J. Price, Dept. of Biomedical Engineering, Univ. of Virginia, Box 800759, UVA Health System, Charlottesville, VA 22908 (E-mail: rprice{at}virginia.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.


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