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Department of Biomedical Engineering, Graduate School of Medicine, University of Tokyo, Tokyo, Japan
Submitted 17 August 2004 ; accepted in final form 19 January 2005
| ABSTRACT |
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oxygen diffusion; vascular wall; vascular tone; vasodilation; papaverine
The objectives of the present study were 1) to determine the O2 consumption rate of vascular walls in skeletal muscle arterioles under normal conditions and during vasodilation and 2) to examine the effects of vascular tone reduction on the O2 consumption rate of the vascular wall. We used phosphorescence quenching laser microscopy to determine the intra- and perivascular PO2 values of rat cremaster arterioles of several different diameters under normal conditions and during vasodilation due to a topical application of papaverine. Using the measured intra- and perivascular PO2 values, we then calculated the O2 consumption rates of the arteriolar walls on the basis of a modified "Krogh cylinder model."
| MATERIALS AND METHODS |
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Experimental protocols.
The intra- and perivascular PO2 values were measured immediately past the point of origin of the arteriole from the preceding order. Orders were classified as follows: large arterioles with an inner wall diameter of
80120 µm branching from the central cremaster artery were designated first order (1A). Branches from 1A arterioles were designated second order (2A, 5080 µm inner wall diameter). Third-order (3A) arterioles had an inner wall diameter <60 µm and branched from 2A arterioles. The diameter of the 3A arterioles in this study is larger than that reported by Lombard et al. (26). Although the exact reason for the different vessel sizes could not be explained, this discrepancy could have resulted from a difference in the body size of the animals or a difference in the chosen arterioles. Intravascular PO2 was measured 30 min after the injection of a Pd-porphyrin solution (
25 mg/kg body wt) into the cannulated jugular vein. Perivascular PO2 was then measured immediately in the vicinity of the vascular walls of the same arterioles, where they were set 20 µm from the inner wall surface to avoid uncertainty arising from our inability to precisely locate the outer vessel wall surface. We measured two intra- and perivascular PO2 values per vessel in each rat. After the PO2 of each order of arterioles was measured under normal conditions, papaverine (104 mol/l) was topically applied to the muscle surface to maintain maximum vasodilation. Under these conditions, PO2 was measured again at the same sites under normal conditions.
Hemodynamic changes.
The changes in the arteriolar inner-wall diameters during the topical application of papaverine were analyzed offline from video-recorded images. To determine whether blood flow rates increased during papaverine application, the relative change in volume flow in 1A arterioles during papaverine application was also monitored using a noncontact laser-Doppler flowmeter (model FLO-C1EL, Omega Wave, Tokyo, Japan), in which optical scattering from the arteriole of the laser irradiation area (
160 µm diameter) was captured through the objective lens of a microscope. All experiments in which papaverine induced a <10% increase in the diameter or the blood flow compared with normal conditions were excluded.
Phosphorescence quenching laser microscope.
A general observation of the microcirculation was performed using a modified microscope with a x20 long-working-distance dry objective lens (CF Plan 20x/0.40 EPI ELWD, Nikon, Tokyo, Japan). The microcirculation was viewed using a charge-coupled device camera (model DXC-107A, Sony, Tokyo, Japan) connected to a video timer (model VTG-33, For-A, Tokyo, Japan) and a videocassette recorder (model SLV-RS1, Sony), and the image was displayed on a 14-in. high-resolution television monitor (model PVM-1442Q, Sony) at a final magnification of approximately x800. Intra- and periarteriolar PO2 values were measured using O2-dependent quenching of the phosphorescence decay technique described previously (32). Pd-meso-tetra(4-carboxyphenyl)porphyrin (Pd-porphyrin; Porphyrin Products) bound to bovine serum albumin was used as the phosphorescent probe for the O2-dependent quenching. The phosphorescent probe was excited by epi-illumination using an N2-dye pulse laser (model LN120C, Laser Photonics) with a 535-nm line at 20 Hz via the objective lens. The average optical power and pulse width of the laser were 1.2 mW and 300 ps, respectively. The diameter of the epi-illuminated tissue was 10 µm on the surface. The phosphorescent emissions from the tissue were captured by a photomultiplier (model C6700, Hamamatsu Photonics, Hamamatsu, Japan) through a long-pass filter at 610 nm. To avoid contamination of phosphorescent scattering, a 20-µm-diameter pin-hole-like aperture was placed in front of a photomultiplier. Signals from the photomultiplier were converted to 10-bit digital signals at 3-µs intervals. A total of 10 pulses was irradiated to obtain a mean phosphorescence decay curve, and the decay of the phosphorescence was mathematically fitted on the basis of the rectangular distribution model (11), expressed as follows
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0 and
are the phosphorescence lifetimes in the absence of O2 and in the area being measured, respectively, and Kq is the quenching constant. PO2 was determined by averaging 10 measurements. With use of this equation to calculate PO2, the accuracy of the curve fitting was improved compared with a conventional curve fitting (11). All data with a correlation coefficient <0.900 between the measured and theoretical curves were excluded.
Theoretical model.
The basic model used in this study to estimate the O2 consumption rate of the arteriolar wall was as follows. The Krogh model of the capillary-tissue system for O2 delivery in skeletal muscles was modified to suit the arteriolar vascular wall having a cylindrical geometry (15). In the present model (Fig. 1), with the assumption that the blood vessel is cylindrical, with length L and the outer and inner radii of the arterioles Ro and Ri, respectively, the O2 consumption rate per tissue volume per unit time in the arteriolar wall (
O2) was expressed by the following modified Krogh-Erlang equation (22)
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t and Dt represent O2 solubility and O2 diffusivity in the arteriolar wall, respectively. Therefore, the O2 consumption rate of the arteriolar wall was determined by utilizing the measured intra- and perivascular PO2 values of the arterioles. The parameters used for calculation of O2 consumption rates of vascular walls are listed in Fig. 1. Because of uncertainty with regard to the location of the outer vessel wall boundary, the outer radius was assumed to be 10% larger than the inner radius of each respective arteriole (38). Changes in the wall thickness during vasodilation were ignored when O2 consumption rates were calculated, because the increase in vessel diameter during papaverine-induced vasodilation was <20%.
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Data analysis. Values are means ± SD. Data were analyzed using a one-way ANOVA. Differences between groups were determined using a t-test with Bonferroni's correction. Differences with P < 0.05 were considered statistically significant.
| RESULTS |
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The intra- and perivascular PO2 values of 1A, 2A, and 3A arterioles under normal conditions and during the papaverine-induced vasodilation are shown in Fig. 2. The intravascular PO2 values of the 1A arterioles in both conditions were lower than the systemic arterial PO2 values. The intravascular PO2 of the arterioles under normal conditions decreased significantly from 1A to 3A arterioles, and the perivascular PO2 values of all arterioles were also significantly lower than the intravascular PO2 values. During vasodilation, the intra- and perivascular PO2 values of all the arterioles were significantly higher than under normal conditions, possibly because of the increased regional blood perfusion induced by papaverine, but the longitudinal and radial rate of decrease was lower than under normal conditions. Figure 3 shows O2 consumption rates in 1A, 2A, and 3A arteriolar walls under normal conditions and during vasodilation estimated from the intra- and perivascular PO2 data in Fig. 2. The O2 consumption rates of the arteriolar walls under normal conditions were significantly higher than those during vasodilation: 1.87 ± 0.13 vs. 0.84 ± 0.09 (1A), 1.52 ± 0.18 vs. 0.90 ± 0.17 (2A), and 1.33 ± 0.14 vs. 1.06 ± 0.18 x 102 ml·s1·g1 (3A). Under normal conditions, the O2 consumption rate of the 1A arteriolar wall, located farthest upstream, was the highest, and the O2 consumption rate sequentially decreased downstream in 2A and 3A arterioles. However, during papaverine-induced vasodilation, the O2 consumption rates of the vascular walls in the 1A, 2A, and 3A vessels decreased to approximately the same level. The estimated O2 consumption rates of the arteriolar walls under both conditions are 1001,000 times higher than in in vitro experiments. To evaluate these results, the intravascular PO2 values of arterioles located downstream were calculated using the upstream O2 consumption rates and arteriolar PO2 values theoretically (Fig. 4). With regard to the data for the 1A arterioles under normal conditions, the estimated intravascular PO2 in the 2A arterioles was 60.4 ± 6.1 Torr, whereas the measured PO2 was 61.5 ± 6.2 Torr. Similarly, when the values of the 3A arterioles were estimated using data from 2A arterioles, the estimated intravascular PO2 was 49.7 ± 5.9 Torr, whereas the measured value was 52.6 ± 7.5 Torr. When the same calculations were performed using the vasodilation data, the estimated intravascular PO2 in the 2A arterioles was 79.4 ± 6.9 Torr, whereas the measured PO2 was 76.1 ± 8.8 Torr. Similarly, the estimated intravascular PO2 of the 3A arterioles was 70.4 ± 8.7 Torr, whereas the measured value was 69.4 ± 7.2 Torr.
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| DISCUSSION |
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In this study, we used the O2-dependent phosphorescence quenching technique to determine the intra- and perivascular PO2 values of arterioles with different diameters in rat cremaster muscle. In vivo measurements of local PO2 with a high spatial resolution were required; therefore, we applied laser microscope technology. Use of a pulse laser facilitated excitation of the phosphorescent probe in a desired area, because the light beam can be relatively condensed, even when a low-numerical-aperture objective lens is applied (33). Our system is able to expose a diameter of 10 µm on the tissue surface when a x20 objective lens with 0.3 numerical aperture is used. In the present study, perivascular PO2 was measured in the vicinity of the vascular walls. To avoid uncertainty arising from our inability to precisely locate the outer vessel wall surface, measuring points were set 20 µm from the inner-wall surface. The phosphorescent probe concentration is low in the arteriolar wall compared with the surrounding tissue, because the arteriolar wall has a very low permeability to albumin; thus it was considered that an error incurred by the phosphorescence from the vascular wall may be limited (10). Furthermore, it is feasible that a fall in PO2 in the surrounding tissue has a significantly shallower decay than that within the vessel wall (38). The pulse laser was also effective in terms of the fading of the phosphorescence. The pulse width of the He-Ne pulse laser used in this study was 300 ps, which is much shorter than the excitation lighting of a mercury or xenon lamp light source. Even though a total of 10 pulses were irradiated to obtain a mean phosphorescence decay curve, the total exposure time was on the order of 1 ns, suggesting that light fading had little impact on the measurements.
In this study, we attempted to measure PO2 under normal conditions and during vasodilation induced by the topical administration of papaverine (104 mol/l) in the same arterioles. We then calculated the O2 consumption rates of the vessel walls under the two conditions to examine the effect of changing vascular tone on O2 consumption of arteriolar walls. Papaverine is a nonspecific smooth muscle relaxant, and its effects are known to include 1) direct action on the smooth muscle cell membrane and inhibition of the flow of extracellular Ca2+ into the cell, 2) inhibition of phosphodiesterase activity and increase in intracellular cAMP content, and 3) inhibition of oxidative phosphorylation reactions. PO2 values in the 1A, 2A, and 3A vessels obtained under normal conditions in our study were 74.2, 61.5, and 52.6 Torr, respectively, as opposed to 83.7, 76.1, and 69.4 Torr, respectively, during papaverine-induced vasodilation (Fig. 2). These PO2 values under normal conditions were consistent with measurements made using other methods, such as the microelectrode technique (6, 7) and the spectrophotometric method (34). Conversely, the PO2 values were higher during vasodilation than under normal conditions at every arteriolar site. It appeared that an increase in the regional blood perfusion induced by papaverine caused an increase in PO2.
With regard to the PO2 gradient in the microcirculation, Tsai et al. (39) recently reported in detail. They demonstrated that O2 consumption in vessel walls, especially O2 consumption by the endothelial cells, seemed to affect formation of the O2 gradient in arterioles. The results of the present study led us to the same view as that reported by Tsai et al. with regard to the magnitude of O2 consumption in the walls of the arterioles; however, the contribution of the endothelium or vascular smooth muscle to high O2 consumption is uncertain. More recently, a change in the distribution of O2 in the microcirculation during vasoconstriction was reported by Friesenecker et al. (10). They used arginine vasopressin to induce the arteriolar vasoconstriction and found a significant increase in arteriolar wall PO2 gradient and a decrease in tissue PO2 during vasoconstriction and concluded that vasoconstriction increased vessel wall O2 consumption and reduced O2 supply to tissue. On the basis of this observation, our findings that papaverine-induced vasodilation decreased the O2 consumption rate of the vessel wall and increased intra- and perivascular PO2 would be expected.
The O2 consumption rates in the arteriolar walls estimated by intra- and perivascular PO2 ranged from 1.9 x 102 (1A) to 1.3 x 102 ml·s1·g1 (3A) under normal conditions (Fig. 3). A comparison of these values with the value reported for cat pial arterioles by Duling et al. (7) (2.8 x 102 ml·s1·g1) and that reported for rat mesenteric arterioles by Tsai et al. (38) (6.5 x 102 ml·s1·g1) showed that our values were slightly lower but were of the same order of magnitude. With regard to the physiological data used to estimate the O2 consumption rates, Tsai et al. used 1.7 x 105 cm2/s for O2 diffusivity in the vessel wall and 2.1 x 105 ml·g1·Torr1 for O2 solubility in the vessel wall; consequently, there were no major differences. The ratio of wall thickness to vessel diameter was 10%. On the other hand, compared with the data obtained from endothelial and smooth muscle cell suspensions or vessel segments in vitro (4, 17, 18, 27), many of the values were on the order of 104105, or 1001,000 times lower than those of the present study and >10 times lower than even the vasodilation data in this study. The fact that the suspensions and segments are not subject to normal in vivo conditions may explain the lower O2 consumption.
Furthermore, to evaluate the appropriateness of our estimation, we used the O2 consumption rates we obtained to calculate the intravascular PO2 of downstream arterioles and measure intravascular PO2 of upstream arterioles (Fig. 4). As a result of calculations based on the data for the 1A arterioles, the estimated intravascular PO2 in the 2A arterioles was consistent with the measured PO2 (60.4 vs. 61.5 Torr). Similarly, calculation of the value of the 3A arterioles with use of the 2A data resulted in an estimated value that was consistent with the measured value (49.7 vs. 52.6 Torr). Moreover, when the same simulations were performed using data obtained during vasodilation, a high consistency between the estimated value and the measured value was confirmed for 2A and 3A vessels: 79.4 vs. 76.1 Torr (2A) and 70.4 vs. 69.4 Torr (3A). These simulations confirmed the validity of the estimated O2 consumption rates in the arteriole walls.
Many studies have used a theoretical model to analyze O2 transport to tissues during exercise and under normal conditions (15), but none of these reports have taken into account O2 consumption in the vessel wall. The O2 consumption rates of skeletal muscle observed in such studies were 24 x 105 ml·s1·g1 at rest, whereas the O2 consumption rate of the arteriolar walls obtained in the present study was 12 x 102 ml·s1·g1 under normal conditions. If it is assumed that the volume ratio of the arteriolar walls to the skeletal muscle tissue was 0.7% (9), the O2 consumption rate of the arteriolar walls was
500 times higher than that of the skeletal muscle tissue, resulting in the arteriolar walls consuming an amount of O2 equivalent to, or greater than, that consumed by the skeletal muscle tissue.
In conclusion,
100 times more O2 is consumed by functional arteriolar walls than by the vascular segments or vascular cell suspensions measured in in vitro experiments, and the O2 consumption rates of the arteriolar walls are significantly higher under normal conditions than during vasodilation. The highest O2 consumption rate of the 1A arteriolar walls under normal conditions suggests that the vascular O2 consumption is dependent on the workload of vascular walls. These results strongly support the hypothesis that the arteriolar wall consumes a significant amount of O2 compared with the surrounding tissue. Furthermore, the reduction of vascular tone of arteriolar walls may facilitate an efficient supply of O2 to the surrounding tissue.
| GRANTS |
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| FOOTNOTES |
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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.
| REFERENCES |
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