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J Appl Physiol 100: 1569-1576, 2006. First published December 29, 2005; doi:10.1152/japplphysiol.00762.2005
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Oxygen release from arterioles with normal flow and no-flow conditions

Pedro Cabrales,1 Amy G. Tsai,1,2 Paul C. Johnson,1,2 and Marcos Intaglietta1,2

1La Jolla Bioengineering Institute, and 2Department of Bioengineering, University of California-San Diego, La Jolla, California

Submitted 27 June 2005 ; accepted in final form 26 December 2005


    ABSTRACT
 TOP
 ABSTRACT
 METHODS
 RESULTS
 DISCUSSION
 GRANTS
 REFERENCES
 
The rate of oxygen release from arterioles (~55 µm diameter) was measured in the hamster window chamber model during flow and no-flow conditions. Flow was stopped by microvascular transcutaneous occlusion using a glass pipette held by a manipulator. The reduction of the intra-arteriolar oxygen tension (PO2) was measured by the phosphorescence quenching of preinfused Pd-porphyrin, 100 µm downstream from the occlusion. Oxygen release from arterioles was found to be 53% greater during flow than no-flow conditions (2.6 vs. 1.7 x 10–5 ml O2·cm–2·s–1, P < 0.05). Acute hemodilution with dextran 70 was used to reduce vessel oxygen content, significantly increase wall shear stress (14%, P < 0.05), reduce Hct to 28.4% (SD 1.0) [vs. 48.8% (SD 1.8) at baseline], lower oxygen supply by the arterioles (10%, P < 0.05), and increase oxygen release from the arterioles (39%, P < 0.05). Hemodilution also increased microcirculation oxygen extraction (33% greater than nonhemodilution, P < 0.05) and oxygen consumption by the vessel wall, as shown by an increase in vessel wall oxygen gradient [difference in PO2 between the blood and the tissue side of the arteriolar wall, nonhemodiluted 16.2 Torr (SD 1.0) vs. hemodiluted 18.3 Torr (SD 1.4), P < 0.05]. Oxygen released by the arterioles during flow vs. nonflow was increased significantly after hemodilution (3.6 vs. 1.8 x 10–5 ml O2·cm–2·s–1, P < 0.05). The oxygen cost induced by wall shear stress, suggested by our findings, may be >15% of the total oxygen delivery to tissues by arterioles during flow in this preparation.

oxygen consumption; occlusion; wall shear stress; arteriolar oxygen exit


THE MICROCIRCULATION AND SYSTEMIC blood vessels are subjected to wall shear stress (WSS), which stimulates the endothelium, mediating many physiological and pathological processes by expressing proteins and factors, which function as vasodilators [e.g., nitric oxide (NO)], vasoconstrictors (e.g., endothelin-1), growth factors (e.g., PDGF), growth inhibitors (e.g., heparin), adhesion molecules (e.g., ICAM-1), and chemoattractants (e.g., monocyte chemotactic protein-1) (7, 12, 13). The biochemical activity attributable to WSS is large, since it involves gene expression, upregulation of protein synthesis, and the moment-to-moment adjustments needed for addressing the microscopic variability of tissue perfusion. The continuous operation of this complex process should require energy expenditure, a process that, at steady-state conditions in living organism, could significantly influence oxygen consumption.

Studies of endothelial cells in vitro report that these cells consume oxygen at a rate that is similar to that of most tissues. As an example, the study of Kjellstrom et al. (19) showed that oxygen consumption of endothelium in cell cultures ranged between 1.6 and 8 x 10–2 ml O2·min–1·g–1, depending on origin and species. In addition, Motterlini et al. (25) found the value of 5.6 x 10–2 ml O2·min–1·g–1 for endothelial cells from the pig aorta. However, studies in cell culture may not be representative of in vivo conditions, where the endothelium is in direct contact with smooth muscle and subjected to WSS by the flow of blood, rather than cell culture media.

Oxygen consumption by the endothelium has, until recently, been assumed to be similar to other tissues. However, there is some evidence that it is substantially greater. Measurements in the microcirculation by Tsai et al. (35) showed large oxygen gradients at the microvascular vessel wall, suggesting the use of large amounts of oxygen by the vessel wall. Shibata et al. (30) reached the same conclusion in similar studies. The high rate of oxygen metabolism is supported by the findings of Curtis et al. (9), who determined that an isolated, perfused muscle preparation, denuded of endothelium, consumes about one-third less oxygen than its intact counterpart. Changes in vessel tone have also been shown to significantly increase microvessel oxygen consumption (14, 40).

We propose that WSS stimulates the endothelium to exert a significant biochemical activity, increasing oxygen consumption in vivo when it is present. Conversely, absence of WSS lowers endothelial oxygen consumption. To test this hypothesis, we measured the rate of oxygen release from arterioles in vivo during flow (stimulated by shear stress) and in the absence of flow (lack of shear stress). The rate of oxygen release from arterioles can be determined by the up- and downstream difference in blood PO2 and, therefore, oxygen saturation per unit vessel length times the local flow rate. Occluding the same microvessel by micromanipulation allowed us to measure the rate at which oxygen content within the microvessel decays in the absence of shear stress. Both rates are ultimately determined by the gradient at the blood-vessel wall interface, which is determined by the local diffusion constant and rate of oxygen consumption by the vessel wall and tissue. Since the parenchymal tissue is not affected by changing shear stress, it is plausible to assume that differences in WSS may directly affect the endothelium.

Measurements of the rate of oxygen depletion from blood under flow and no-flow conditions present few uncertainties, since results are directly based on mass balance considerations. In this study, we also measured the rate at which oxygen is released by arterioles during normal flow and oxygen depletion from arterioles upon flow stoppage with normal hematocrit (Hct) and during a 40% normovolemic hemodilution to determine whether altering blood oxygen content affected our results.


    METHODS
 TOP
 ABSTRACT
 METHODS
 RESULTS
 DISCUSSION
 GRANTS
 REFERENCES
 
Animal Preparation

Investigations were performed in 55- to 65-g golden Syrian hamsters (Charles River Laboratories, Boston, MA). Animal handling and care were provided following the procedures outlined in the Guide for the Care and Use of Laboratory Animals (National Research Council, 1996). The study was approved by the local Animal Use Committee. The hamster window chamber model is widely used for microvascular studies without anesthesia (awake model), and the complete surgical technique is described in detail elsewhere (8, 11). Briefly, the animal was prepared for chamber implantation with a 50 mg/kg ip injection of pentobarbital sodium as anesthesia. After hair removal, sutures were used to lift the dorsal skin away from the animal, and one frame of the chamber was positioned on the animal’s back. A chamber consisted of two identical titanium frames with a 15-mm circular window. One side of the skin fold was removed with the aid of backlighting and a stereomicroscope following the outline of the window, until only a thin layer of retractor muscle and the intact subcutaneous skin of the opposing side remained. Saline and then a cover glass were placed on the exposed skin that was held in place by the other frame of the chamber. The intact skin of the other side was exposed to the ambient environment. The animal was allowed at least 2 days for recovery; then its chamber was assessed under the microscope for any signs of edema, bleeding, or unusual neovascularization. Barring these complications, the animal was anesthetized again with pentobarbital sodium. Arterial and venous catheters (PE-50) were implanted in the carotid artery and jugular vein. The catheters were filled with a heparinized saline solution (30 IU/ml) to ensure their patency at the time of experiment. Catheters were tunneled under the skin and exteriorized at the dorsal side of the neck, where they were attached to the chamber frame with tape. The experiment was performed between 24 and 48 h after catheter implantation.

Inclusion Criteria

Animals were suitable for the experiments if systemic parameters were within normal range for Golden Syrian hamsters (6, 29), namely, heart rate (HR) > 340 beat/min, mean arterial pressure (MAP) > 80 mmHg, systemic Hct > 45%, and arterial oxygen partial pressure (PaO2) > 50 Torr. The comparatively low PaO2 and high PCO2 of these animals are a consequence of their adaptation to a fossorial environment (6, 29).

Systemic Parameters and Blood-Gas Parameters

MAP was continuously monitored, and the HR was determined from the pressure trace. Arterial blood was collected in heparinized glass capillaries (0.05 ml) and immediately analyzed for PO2, PCO2, base excess, and pH (Blood Chemistry Analyzer 248, Bayer, Norwood, MA). A second capillary tube was used for Hct measurement. Hb content was determined spectrophotometrically with a single drop of blood (B-Hemoglobin, Hemocue, Stockholm, Sweden).

Microhemodynamic Parameters

Detailed mappings of the vasculature were made so that the same vessels were studied throughout the experiment. Arterioles (50- to 65-µm diameter and 0.5- to 1-mm length and devoid of branching) were chosen, according to their visual clarity.

Blood flow velocity was measured online using the photodiode cross-correlation technique (16) (Fiber Optic Photo Diode Pickup and Velocity Tracker Model 102B; Vista Electronics, San Diego, CA). The video image shearing technique was used to measure vessel diameter (D) online (24). Automated diameter measurements were obtained by first spatially differentiating the image elements, thus creating a pseudovascular wall whose separation was measured by an edge-detection algorithm, previously calibrated in situ with the image- shearing monitor. The measured centerline velocities (v) were corrected according to vessel size to obtain the mean red blood cell (RBC) velocity V (18). Blood flow (Q) was calculated from the measured parameters as Q = V x {pi} (D/2)2. WSS was defined by WSS = WSR x {eta}, where WSR is the wall shear rate given by 8VD–1, and {eta} is either whole blood viscosity (WSSB), plasma viscosity (WSSP), or the viscosity of blood at the level of arterioles. According to Lipowsky and Firrell (22), Hct in arterioles is 58% of the systemic value and is 70% of the systemic value in hemodilution when Hct is ~30%. Therefore, we corrected our hemodilution viscosity by calculating the local Hct and then using the corresponding viscosity obtained from actual viscosity vs. Hct data from dilutions of hamster blood (4).

Microvascular PO2 Measurements

High-resolution microvascular PO2 measurements were made using phosphorescence quenching microscopy, described in detail elsewhere (33, 39), which was implemented, according to the description of Kerger et al. (18). Oxygen measurements are based on oxygen-dependent quenching of phosphorescence emitted by an albumin-bound metalloporphyrin complex after pulsed light excitation. Animals received a slow intravenous injection of palladium-meso-tetra (4-carboxyphenyl) porphyrin (15 mg/kg body wt at 10 mg/m; Porphyrin Products, Logan, UT). The dye circulated for 10 min before PO2 measurements. An optical window of 20 x 5 µm placed longitudinally along the blood vessel allows us to locate the measuring site. Measurements in normal flow conditions used the phosphorescence of 10 excitation flashes delivered at a rate of 10 flashes/s. Measurements during occlusion were made every second using a single flash. Tissue was also the average phosphorescence of 10 excitation flashes delivered at a rate of 10 flashes/s. Flash intensity and duration (5 µs) were the same for both determinations (35).

Arteriolar Occlusions

The arterioles were occluded with a glass micropipette made with 1-mm-diameter glass tubing whose tip is drawn into a long fiber by a pipette puller (P-87 horizontal puller, Sutter Instruments, Novato, CA). The fiber was bent over a flame, and the knee of the bend was pressed on the intact skin of the preparation mounted on an inverted microscope that allowed the observation of the opposite side of the window chamber, i.e., the intact microcirculation (Fig. 1). Additionally, diameter was also measured continuously during the occlusion period from video recordings to ensure preservation of flow conditions. The objective of this experiment was to determine the rate at which oxygen exits the arterioles, which preliminary trials showed to reach completion (~4 mmHg) within 15 s from the time of occlusion; therefore, more extended periods of occlusion were not investigated.


Figure 1
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Fig. 1. Microphotograph of an occluded arteriole in the hamster window chamber. The glass fiber lies across the arteriole. The arteriole is visualized through the glass coverslip, and the occluder is positioned by trial and error against the opposite side of the chamber against the normal skin by means of a micromanipulator. Pressing the occluder against the skin compresses a circular area of ~50 µm diameter and occludes the vessel. Arrow indicates flow direction.

 
Experimental Setup and Protocol

The unanesthetized animal was placed in a restraining tube and stabilized under the microscope. Microvessels were observed by transillumination with an inverted microscope (IMT-2 Olympus, New Hyde Park, NY) using a x20 objective (0.7 numerical aperture, Olympus). Arteriolar microocclusion was performed as previously described (29). Once an arteriole had been selected for measurement, the microoccluder was positioned between the intact skin and the optics of the substage illumination. The tip of the occluder was placed near the center of the optical field of view, and the vessel was similarly placed using the stage micrometric position controls. The occluder was moved against the vessel, compressing an area of ~50 µm in diameter; occlusion was sustained for a period of 30 s.

Acute Isovolemic Hemodilution

Progressive hemodilution to a final systemic Hct level of 60% of baseline was accomplished with an isovolemic exchange with dextran 70 (molecular weight = 70,000; B. Braun, Irvine, CA). This protocol was described in detail before (5, 6, 34). Briefly, the volume of the exchange-dilution step was calculated as 40% of the blood volume, with the latter estimated as 7% of the body weight. Results were compared with baseline values before hemodilution. The dextran 70 solution was infused into the jugular vein catheter after passing through an inline, 13-mm-diameter, 0.2-µm syringe filter at a rate of 100 µl/min. Blood was simultaneously withdrawn by a dual syringe pump (‘33’ syringe pump, Harvard Apparatus, Holliston, MA) at the same (isovolemic-normovolemic) rate from the carotid artery catheter (5, 34, 36). This slow rate of exchange provided for a stable MAP immediately after the exchange. A 10-min stabilization period was allowed before data acquisition.

Oxygen Exit from Vessels with Flow

The rate of oxygen exit from vessels with flow (JO2 convection) was determined from the difference in oxygen content between upstream ([O2]upstream) and downstream ([O2]downstream) locations and the flow rate (Q) of blood in the vessel segment, according to the equation:

Formula 1(1)
where the oxygen content of blood [O2] = Cb [f HCT]SO2, where Cb is oxygen binding capacity of blood; [f HCT] is the ratio of microvascular to systemic Hct, a function of vessel diameter (17, 26), and physically dissolved O2 is neglected because of low solubility of O2 in plasma; and SO2 is HbO2 saturation determined from the measurement of intravascular PO2 and converted to SO2 from measurements of the oxygen dissociation curve of hamster blood using a Hemox analyzer (TCS Scientific, New Hope, PA). This instrument uses dual-wavelength spectrophotometry to calculate Hb saturation while measuring the dissolved oxygen concentration with a Clark oxygen electrode. As is the inner vessel wall surface area between the upstream and downstream PO2 measurement locations. This calculation assumes that systemic blood pH and microcirculation pH are similar and invariant during occlusion, an assumption verified for pH in a different study (3).

Oxygen Release From Vessels with No Flow

The rate of oxygen exit per unit vessel wall area from the occluded arterioles (JO2 occlusion) (no shear stress) was calculated by measuring the rate of decrease in oxygen content from the occluded vessel according to:

Formula 2(2)
where dSO2/dt is the slope of the curve of O2 saturation of Hb corresponding to the measured PO2 during the occlusion, according to our measurements of the oxygen dissociation curve of hamster blood; and Vol/As = D/4 is the ratio between volume ({pi}D2l/4, where d is the diameter and l is the vessel segment length) and wall vessel surface area As = {pi}Dl. It should be noted that calculations of oxygen release are relative to the oxygen content of the same vessel. Therefore, the actual Hct in the vessels is not as critical as determining the rates at which oxygen is depleted from the vessels, during flow and nonflow conditions, since there should be no difference in vessel Hct between the two conditions.

Data Analysis

Results are presented as means and SD. Microvascular hemodynamic data are presented as absolute values. Oxygen data are presented as ratios relative to baseline values before occlusion. A ratio of 1.0 signifies no change from baseline, whereas lower and higher ratios are indicative of changes proportionally higher and lower than baseline. For repeated measurements, time related changes were assessed by analysis of variance. Comparisons between different groups of animals were performed with the Wilcoxon signed rank test (GraphPad Prism 4.01; GraphPad Software, San Diego, CA). Changes were considered statistically significant if P < 0.05.


    RESULTS
 TOP
 ABSTRACT
 METHODS
 RESULTS
 DISCUSSION
 GRANTS
 REFERENCES
 
Fifteen animals were studied, providing data for 70 arteriolar vessels: 45 during normal flow conditions (25 baseline and 20 after hemodilution), and 25 during microvessel occlusion (15 baseline and 10 after hemodilution). The systemic parameters (MAP, HR, PaO2, arterial PCO2, base excess, and pH) were not statistically changed after hemodilution. Acute hemodilution with dextran 70 decreased oxygen-carrying capacity, as Hct was reduced from 48.8 (SD 1.8) to 28.4% (SD 1.0) and Hb from 15.1 (SD 0.7) to 8.9 g Hb/dl (SD 0.5). Systemic parameters are presented in Table 1.


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Table 1. Macrohemodynamic parameters before and after hemodilution

 
Microhemodynamic Changes After Hemodilution

Diameter decreased from 58.3 (SD 4.8) to 56.8 µm (SD 5.1) [0.96 (SD 0.05) of baseline] after hemodilution (P = 0.31). Center RBC velocity increased statistically significantly from 5.3 (SD 1.4) to 6.9 µm (SD 1.5) [1.57 (SD 0.14) of baseline] after hemodilution (P < 0.05). Calculated mean arteriolar flow increased statistically significantly from 9.3 (SD 3.1) to 11.4 µm (SD 3.8) [1.26 (SD 0.17) of baseline] after hemodilution (P < 0.05). Measured and calculated hemodynamic parameters are presented in Table 2.


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Table 2. Microhemodynamic parameters before and after hemodilution

 
Intravascular and Tissue Oxygen

Arteriolar oxygen levels increased significantly from 50.9 (SD 4.3) to 55.4 mmHg (SD 4.7) after hemodilution (P < 0.05) (Table 3). Tissue PO2 was not affected by hemodilution (n = 24, sites at baseline and after hemodilution). Venular oxygen decreased significantly from 34.2 mmHg (SD 3.1) (n = 22) to 29.4 mmHg (SD 3.0) (n = 20) after hemodilution (P < 0.05). This microvascular distribution of PO2 values is essentially the same as that found in the hamster in baseline conditions.


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Table 3. Oxygen levels

 
Oxygen Exit From Vessels During Flow

The rate of oxygen exit from vessels with flow (vessel subjected to WSS) was 2.6 x 10–5 ml O2·cm–2·s–1 (SD 0.6)for baseline (normal Hct) and significantly increased to 3.6 x 10–5 ml O2·cm–2·s–1 (SD 0.7) for the hemodiluted condition (P < 0.05) (Table 4). The vessel wall gradient was statistically significant different for baseline [16.2 mmHg (SD 1.0)] compared with hemodilution [18.3 mmHg (SD 1.4), P < 0.05].


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Table 4. Arteriolar oxygen release levels

 
Diameter Changes During Occlusion

Diameter tended to decrease slightly during occlusion, an effect that was most apparent 30 s after occlusion, although not statistically significant (slight constriction 4.6%, P = 0.21). Oxygen exit during occlusion was extrapolated to the zero time of occlusion, with arteriolar oxygen depletion being estimated using the diameter of the location measured during flow conditions.

Oxygen Release from Vessels with No Flow

The decrease of blood PO2 as a function of time in the occluded vessels is shown in Fig. 2A for normal and hemodiluted vessels. These rates were statistically different at 3.57 (SD 0.36) and 4.11 x 10–5 ml O2·cm–2·s–1 (SD 0.49), respectively (P < 0.05). These values were computed estimating the slope of PO2 vs. time immediately following occlusion. The rates of oxygen depletion from the occluded vessels were 12.8 s (SD 1.0) at baseline and 7.8 s (SD 0.8) after hemodilution (P < 0.05).


Figure 2
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Fig. 2. Decay of intravascular PO2 after the occlusion of arterioles. The solid line corresponds to blood vessels at baseline (normal Hct), and the dotted line corresponds to arterioles of animals subjected to a 40% Hct reduction by hemodilution. A: examples of individual PO2 values normalized to the intravascular PO2 value measured at the same location before occlusion. B: the average and SD of the data in A. Time 0 corresponds to the occlusion point.

 
Oxygen release could only be measured on the downstream side of the occlusion. Conditions on the upstream side were strongly influenced by the arterial pressure pulse, which caused perturbations in the occluded region, inducing significant mixing that was evidenced by the motion of RBCs. Consequently, the PO2 measured upstream from the occlusion remained consistent during the occlusion. Figure 2A shows the rapid decline of intravascular PO2 in the downstream side of the occluded vessels with both baseline (normal Hct) and hemodilution. Data were obtained at ~100 µm from the point of occlusion, because this location consistently yielded the lowest value of intravascular tissue PO2 when intravascular and tissue oxygen equilibrated. Locations further downstream from the center of occlusion showed an initial decrease in intravascular PO2 that stabilized at a value higher than that measured at the 100-µm location after 15–20 s from the instant of occlusion (due to diffusion from the perfused outer boundary of the occlusion zone).


    DISCUSSION
 TOP
 ABSTRACT
 METHODS
 RESULTS
 DISCUSSION
 GRANTS
 REFERENCES
 
The principal finding of this study is that the rate of oxygen exit from arterioles was ~53% higher during flow than no-flow (occluded) conditions for baseline (nonhemodiluted) and 100% higher during flow vs. no flow after acute hemodilution. See Figure 3. Differences in oxygen exit between flow and no-flow conditions do not appear to be related to total oxygen content, as presented by the result with the two Hct values studied. Furthermore, significantly more oxygen was released from arterioles during hemodilution (38%) than during flow, probably introduced by the increase in WSR after hemodilution (WSR being calculated on the basis of either plasma or local blood viscosity).


Figure 3
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Fig. 3. Decay of intravascular oxygen after the occlusion of arterioles. The solid line corresponds to blood vessels at baseline (normal Hct), and the dotted line corresponds to arterioles of animals subjected to a 40% Hct reduction by hemodilution. A: red blood cell (RBC) saturation corresponding to the data in Fig. 2B. B: oxygen content in occluded vessel. C: rate of oxygen exit after occlusion. Time 0 corresponds to the occlusion point.

 
The rheological properties of blood (RBCs and plasma) at the adjacent space to the vessel wall, "plasma layer," that causes fluid shear on the luminal endothelial-cell surface can only be establish by microfluidics, and the use of plasma and local viscosity to calculate WSS are the most accurate approximation from macroscopic measurements. WSS calculated using plasma or local blood viscosity is a realistic assessment of local WSS, since the change in Hct, and therefore viscosity in the microcirculation, is well established (22, 23). Using plasma viscosities, WSS yielded a 56% increase after hemodilution (Table 2), and using the estimated local blood viscosity the increase was 14%. There was no statistically significant difference in the rate of oxygen depletion from occluded arterioles between baseline (normal Hct) and hemodilution. Since this latter finding corresponds to WSS being identical and zero in both groups of vessels, this finding supports the hypothesis that shear stress influences oxygen release into the tissues.

Acute hemodilution caused less oxygen to be delivered to the microcirculation, as shown in Table 3. In contrast, oxygen extraction in the microcirculation and presumably consumption was statistically significantly increased by 33% relative to baseline. This increased oxygen extraction during hemodilution is similar to the significantly increased oxygen release from arterioles (38%). Because tissue PO2 was the same for baseline and hemodilution and extraction increased, it appears that hemodilution increases oxygen consumption by the tissue. Considering the proposed link between wall gradient and oxygen consumption found in other studies (14, 15, 30, 35), the present findings where wall oxygen gradient was significantly increased from baseline after hemodilution suggest that increased oxygen extraction in hemodilution is due to an increased wall oxygen consumption.

Analysis of Factors Affecting Calculations

Considering all of the settings and measurements that determine the experimental results, the following errors may affect the calculated parameter.

Flow calculation.   Correction factor for the measured RBC centerline velocity affects the calculation of mean blood flow and the rate of oxygen released by the arterioles. Experimental studies of blood flow in glass tubes of 15- to 80-µm internal diameter, using human RBCs with the dual-slit system (1, 24), show that the centerline velocity measured by the dual-slit method is 80% of the true centerline velocity. Therefore, since parabolic flow profile centerline velocity is two times the average velocity, the actual average flow velocity is 0.625 times (1/1.6) the measured centerline velocity. This relationship holds true within 5–10% over a wide range of flow velocities (0.5–27.0 mm/s), according to Lipowsky and Zweifach (24) and for Hct in the range of 6–60% in tubes above 40-µm diameter (1). The factor 0.625 (1/1.6) increases and becomes 1.00 for velocities measured with the photodiode cross-correlation technique in capillaries, i.e., when the velocity profile may be considered to be uniform across the vessel lumen. The studies that determined the 0.625 value were carried out in glass tubes, where average flow velocity could be measured by two independent means. In these studies, blood was heparinized, lowering interaction between blood elements, yielding the parabolic profile assumed for the calculation of this coefficient. The coefficient was verified in vivo by Proctor et at. (27), and LaLone and Johnson (21) found agreement between calculated volume flow in an arteriole at wide and narrow segments of the vessels. The same was true of the sum of flows of daughter vessels at branch points compared with flow in the feeding vessel. On the other hand, if the velocity profile is blunted according to recent evidence (31, 32), then the average flow velocity is greater than one-half of the centerline velocity, and the 0.625 factor is increased. Therefore, the calculated flow for the arterioles under consideration may underestimate flow and the rate of oxygen release from the arterioles during flow.

Intravascular PO2 measurements.   Oxygen measurements were performed at the centerline of the blood vessels. Therefore, there should be no methodical difference between measurements during flow vs. nonflow conditions, since illumination is the same. The fact that there may be a slight constriction (on the order of 5%, P = 0.21) of vessel diameter, not statistically significant, which develops in time and becomes evident ~30 s after occlusion, would increase the surface-to-volume ratio, and, therefore, the rate of oxygen exit, thus overestimating this phenomenon during nonflow conditions. Another source of error could be due to oxygen consumption by the measuring method. This was shown by Tsai et al. (35) to be 0.02 mmHg per excitation flash in tissue. Since measurements were done in blood, where oxygen concentration is ~10 times greater, using 10 flashes per measurement, the lowering of blood PO2 due to oxygen consumption is ~0.02 Torr per measurement. Forty PO2 measurements in the occluded vessels were carried out for each determination, potentially reducing the measured PO2 by 1 Torr. As in the previous case, this source of error may overestimate the rate of oxygen exit from the occluded arteriole. Therefore, measurements in flowing blood vessels may underestimate the rate of oxygen exit from the arterioles, while those in the occluded vessel tend to overestimate oxygen exit. It appears that the actual discrepancy in oxygen release between flow and no-flow conditions may be greater and not due to methodological errors.

Plasma layer thickness.   During flow conditions, an RBC-free plasma layer develops at the blood tissue interface due to axial migration (38). In stop-flow conditions, hydrodynamic effects are no longer present, and the plasma layer should disappear. The presence of this plasma layer poses a resistance to the diffusion of oxygen that is partly mitigated by the radial dispersion in the trajectory of RBCs near the vessel wall. According to the studies of Diller and Mikic (10), this causes shear-induced particle diffusion and the increase of the effective diffusion coefficient of oxygen. However, changes in the diffusion for oxygen were not seen in the study of Briceño et al. (2), who found that the oxygen profiles in arterioles were essentially identical to those predicted by Kobayashi et al. (20), based on the analysis of oxygen transfer in blood in laminar flow in the absence of shear augmented diffusion. Our results, however, show that the rate of oxygen release from blood is greater during flow (presumably when the plasma layer is present) than with no flow, when the plasma layer is no longer present.

Diffusion constants.   The rate of oxygen release from arterioles is due to diffusion, which is governed by the diffusion constant and the oxygen concentration gradient. The diffusion resistance regulating arteriolar oxygen exit should be the same or greater during flow conditions due to the presence of the plasma layer. The remaining factor that can account for the difference in oxygen release from the arterioles during flow vs. no flow is the presence of an increased oxygen concentration gradient along the diffusion path. Since the geometry of the system is identical for both conditions, a remaining possibility is that the diffusion gradient is increased during flow due to increased oxygen consumption in the endothelium (vessel wall exposed to the effects of shear stress).

Arteriolar Wall and Oxygen Consumption

The arteriolar wall is a significant oxygen sink, according to recent studies (35, 37), whose rate of oxygen consumption can be modulated by vasoactive materials (14, 15). Shear stress is a major stimulus of endothelial cells, which respond rapidly and sensitively to the mechanical phenomena induced by blood flow (12, 13). NO, prostacyclin, and endothelin-1 are end products of this process, which, furthermore, involves activation and deactivation of genes, protein expression, and a multitude of biochemical events that presumably require energy and oxidative metabolism to proceed.

Shear stress modulates endothelial mechanosensors that trigger phosphorylation cascades of signaling molecules of intracellular pathways, causing the production of transcription factors, and the expression of genes and proteins stimulates cytoskeletal alignment and cell shape and changes ion conductances. It governs NO synthase and the production of NO and prostacyclin. These responses occur within seconds to hours of the imposition of changes in shear stress in cells cultured under dynamic conditions (7). However, they are generally not investigated in cell cultures where smooth muscle is also present, and a significant component of oxygen consumption by the vessel wall may be related to the interaction of these cellular species in vivo.

Sudden flow cessation in arterioles causes a rapid depletion of intravascular oxygen. The occluded vessel, near the occlusion, reaches intravascular PO2 values of 3–4 Torr in ~15 s. Similar levels were found by Richmond et al. (28), who occluded the arterial supply of exposed skeletal muscle and found that oxygen was depleted from the tissue in ~15 s. Tissue PO2 never reached zero after occlusion, probably due to oxygen diffusion from surrounding tissue and other vessels.

In conclusion, oxygen release from arterioles in the intact tissue of unanesthetized animals is significantly greater during flow conditions compared with the oxygen rate of exit from mechanically occluded vessels. Analysis of the potential errors tends to underestimate the release of oxygen during flow and overestimate the release of oxygen during no flow, suggesting that our result is not an artifact related to the experimental methodology. The increased oxygen exit from arterioles could be related to the difference in shear stress between flow and no-flow conditions, since shear stress induces a significant oxidative metabolic activity in the endothelium, which requires oxygen. Hemodilution shows increased shear stress relative to baseline, increased oxygen exit from arterioles during flow, increased oxygen release from the microcirculation to the tissue, and possibly increased oxygen consumption by the vessel wall (increased vessel wall gradient). Considering that the arterioles in some tissues supply as much or more oxygen than capillaries (37) and that the difference in oxygen delivery from arterioles between flow and no-flow conditions is >30%, it would appear that the oxygen cost of shear stress-induced oxygen consumption suggested by our findings may be >15% of oxygen delivery by arteriolar flow in our tissue model. However, the relative significance of the vessel wall as an oxygen sink due to an increase in metabolic activity cannot be assessed at this time. Investigations at a reduced Hct and increased vessel wall stress show a 100% difference in oxygen delivery from arterioles, with and without shear stress, in the absence of changes of tissue PO2. This further supports the hypothesis that shear stress is a factor in endothelium/vessel wall oxygen consumption.


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This work was supported by National Heart, Lung, and Blood Institute Bioengineering Research Partnership Grant R24-HL-64395 and Grants R01-HL-62354 and R01-HL-62318 to M. Intaglietta.


    FOOTNOTES
 

Address for reprint requests and other correspondence: P. Cabrales, La Jolla Bioengineering Institute, 505 Coast Blvd. S., Suite 405, La Jolla, CA 92037 (e-mail: pcabrales{at}ucsd.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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