Ischemic and hypoxic thresholds of brain tissue have been characterized by cerebral blood flow (CBF) (1) , brain oxygenation (2) , and energy metabolism (3) . Complementary techniques for the assessment of CBF (4) , brain electrical activity (BEA), arteriovenous difference in oxygen content (AVDO2 ) (5) , metabolic rate for oxygen (CMRO2 ), brain energy metabolism (6,7) , and tissue oxygenation (brain oxygen tension/Pbr O2 , microvascular hemoglobin saturation/Smv O2 ) (8,9) have been used. Bedside systems for the continuous evaluation of CBF, Pbr O2 , AVDO2 , and cerebral metabolism (microdialysis) have facilitated clinical monitoring (6) . Recent clinical (10) and experimental (11) data suggest that alternative variables such as Pbr O2 may surpass CBF in defining cerebral ischemic thresholds. Questions remain regarding the exact relationships between CBF, arterial Po2 , Pbr O2 , intracellular Po2 (Pic O2 ), and CMRO2 . It has been proposed that Pbr O2 reflects AVDO2 or oxygen extraction (OEF) rather than exclusively mirroring CBF (11) . Because coupling between CBF and AVDO2 dynamically changes depending on the actual level of tissue perfusion (5) , coupling between Pbr O2 and CBF should also vary as a function of CBF. Therefore, exclusive assessment of Pbr O2 may not adequately represent Pic O2 , if the diffusion gradients between capillaries and the intracellular compartment are altered. Interpretation of Pbr O2 under pathologic conditions warrants careful analysis and may necessitate support from supplementary variables of cerebral metabolism, especially with respect to refined definition of energetic thresholds. In this study, we intended to clarify the role of Pbr O2 by providing data derived from multiple complementary techniques, simultaneously analyzing local cortical CBF (lco CBF), Pbr O2 , AVDO2 , CMRO2 , Smv O2 , cytochrome oxidase redox level (Cyt a+a3 oxidation), extracellular lactate (L), pyruvate (P), and glutamate (Glu) concentrations as well as BEA during global cerebral ischemia and systemic hypoxia.
Animals and Methods
All animal procedures were approved by the institutional animal investigations committee. Twenty adult male New Zealand white rabbits (Charles River Laboratories, Kißlegg, Germany) weighing between 3.5 and 4 kg were fasted overnight and anesthetized by IM injection of ketamine (20 mg/kg; Parke-Davis, Berlin, Germany) and xylazine (7 mg/kg; Bayer, Leverkusen, Germany), followed by continuous IV administration of fentanyl (2–3 μg · kg−1 · h−1 ; Janssen, Neuss, Germany) and midazolam (0.2–0.5 mg · kg−1 · h−1 ; Hoffmann-LaRoche, Grenzach-Wyhlen, Germany). Minimal effects on cerebral circulatory physiology result from this anesthetic regimen. Animals were intubated and ventilated with O2 /N2 O, maintaining baseline Pao2 between 100 and 120 mm Hg (CIV 101; Columbus Instruments, Columbus, OH). Paco2 , and arterial and venous pH were assessed regularly (ABL; Radiometer, Copenhagen, Denmark) and kept within their physiologic ranges (Paco2 : 35 ± 4 mm Hg, pHa : 7.37 ± 0.06; mean ± sd). Mean arterial blood pressure was monitored in the inferior aorta, central venous pressure assessed in the inferior vena cava. Fluid administration was adjusted by regular assessment of central venous pressure and urine output. The electrocardiogram was obtained from needle electrodes placed in the lateral chest wall. BEA was recorded via eight bilateral frontoparietal miniature screw electrodes. The signal was digitally filtered, fast Fourier transformed, and was expressed as spectral edge frequency (SEF95 ), containing 95% of the spectral power within 12-s epochs of the continuous recording. Brain temperature was measured by using a thermocouple (GMS, Kiel-Mielkendorf, Germany) and maintained at 36.5°–37.5°C, body temperature was adjusted accordingly by using a thermal blanket. Continuous registration of all vital variables was performed by using a customized monitor setup (CS/3; Datex-Ohmeda, Duisburg, Germany) allowing synchronous data trans-fer to a computer.
A cisternal infusion technique (12,13) was used for controlled variation of cerebral perfusion by dynamic adjustment of cerebral perfusion pressure (CPP). After rigid head fixation, a circular frontal trephination (Ø: 6 mm) exposing the translucent dura was performed to provide a closed cranial window for the spectroscopic system. Two 22-gauge silicone catheters were introduced into the cerebellomedullary cistern, one attached to an infusion pump for infusion of artificial cerebrospinal fluid (304 mOsmol/L, 37°C, 142.5 mmol/L NaCl, 2.5 mmol/L KCl, 1.5 mmol/L CaCl2 , 2.9 mmol/L glucose, 14.5 mmol/L NaHCO2 , equilibrated to pH 7.3), one connected to a pressure transducer (Medex Medical, Ratingen, Germany) for continuous recording of intracranial pressure (ICP). Rapid equilibration of ICP between infra- and supratentorial compartments was confirmed during preliminary experiments. Establishing steady-state conditions (spontaneous baseline CPP: 85–105 mm Hg) before and after each run, CPP was varied in random order between 10 and 180 mm Hg (creating plateaus at 10 mm Hg intervals across the entire cerebrovascular pressure flow autoregulatory range of approximately 50–130 mm Hg in rabbits). To reduce CPP from baseline, cerebrospinal fluid infusion rate was varied between 0 and 120 mL/h. CPP was increased by IV noradrenaline (0.2 mg/mL, 1–8 mL/h). Each CPP plateau was established for a minimum of 8 min to permit adaptation of cerebral hemodynamics. Finally, CPP was reduced to 0, inducing cerebral circulatory arrest, thus establishing extreme values for all investigated variables. Likewise, Pao2 was randomly varied between 140 and 10 mm Hg (10 mm Hg plateaus, each maintained for at least 8 min) in 10 animals, replacing inspiratory oxygen (baseline inspiratory fraction: 30%–40%) by N2 O. Data were averaged for each CPP/Pao2 plateau. Animals were euthanized by intracardiac injection of 50 mmol KCl after the administration of 200 mg of thiopental.
Assessment of CBF, Pbr O2 , and Brain Energy Metabolites
Oxygen microelectrodes (Licox-Revoxode; GMS), microdialysis catheters (CMA 70; Axel-Semrau GmbH, Sprockhövel, Germany), and custom isocaloric thermal-diffusion sensors (2 round gold disk electrodes integrated in a 3 × 12 mm silastic leaf) for quantitative assessment of lco CBF were inserted via separate burrhole craniotomies. lco CBF was calculated as follows: K × (1/V − 1/V0 ). K is a constant, V denotes the voltage difference during actual measurements, and V0 signifies the voltage difference at zero flow, obtained during final calibration 10 min after cardiac arrest. Adequate function of Po2 electrodes in situ was confirmed by their response (increase in Pbr O2 ≥25 mm Hg within 90 s) after an oxygen challenge (increasing Fi O2 to 100%). Post hoc , each catheter was tested for zero drift (<1 mm Hg) by using an absolute-zero solution (Na2 S2 O4 ) and for sensitivity drift (<5%) at a mean room-air Po2 of 156.9 ± 1.7 mm Hg. Microdialysis samples (CMA 107 pump, flow rate: 1 μL/min, yielding recovery rates of approximately 20%–30%(6) ; dialysate: Ringer’s solution containing 147 mval Na+ , 4 mval K+ , 155.5 mval Cl− , 2.25 mval Ca2+ ) were collected at 8-min intervals and frozen at −70°C. Extracellular L, P, and Glu concentrations were determined by using enzymatic assays and subsequent photometric quantification (CMA 600; Axel-Semrau GmbH). Systemic arterial L reference concentrations were analyzed regularly (ABL; Radiometer). Intracortical placement of all catheters (except for CMA 70, integrating a predominant cortical and a minor medullary fraction) was performed under microscopic magnification.
Reflection Spectroscopy
Raw tissue reflection spectra were collected in the VIS-NIR range between 490 and 1000 nm by using a high-resolution optical multichannel analyzer (OS30; Hamamatsu Photonics, Munich, Germany) coupled to a fiberoptic reflectance sensor using 6 concentric 200-μm illumination bundles and 1 200-μm central receiving bundle fitted within a stainless steel tip (Top-Sensor-Systems, Eerbeek, Netherlands). A 5-W halogen light source was used for tissue illumination (increasing tissue surface temperature <0.5°C). Reflected photons were directed to a linear CCD array (spectral resolution: 0.5 nm), averaged (sampling time: 124 ms/scan), transformed to a log (1/R) scale, mean-centered, and normalized. All spectra were referenced against a standard titanium-oxide reflector. Spectral signatures of hemoglobin (Hb) and Cyt a+a3 implemented from high resolution (0.5 nm) in vitr. reference spectra were examined in fourth derivatives of the actual tissue summation spectra using a multivariate calibration model (NPLS) for nonlinear spectral multicomponent analysis (8) . Relative mean spectral residual errors of <0.3% were achieved by least-squares fitting. Because of the optical geometry of the sensor and the interrogated wavelengths, only microvessels <30 μm (small venules, capillaries, and arterioles) significantly contribute to the reported Smv O2 levels and tissue Hb (tHb) concentrations (14) . Smv O2 and Cyt a+a3 oxidation were expressed in percent, tHb concentrations in units/milliliter tissue. SO2 within pial arterioles (Sca O2 ) was (a) measured spectroscopically, and (b) calculated from actual Pao2 according to the rabbit oxygen-dissociation curve (ODC) of Hb (15) , dynamically corrected by actual pHa and Paco2 . The average P50 (Pao2 at 50% Hb saturation) under standard baseline conditions (Paco2 : 35 ± 2 mm Hg, pH: 7.38 ± 0.05) was 32.7 ± 0.4 mm Hg. The average values of Hill’s n were 2.9 ± 0.02. Polynomial fitting was applied to ODCs to illustrate the relationship between Pao2 /Pbr O2 and SO2 (Fig. 1 ). Because cortical microvasculature (and thus, Smv O2 ) is predominantly (≥70%) venous (16) , AVDO2 , CMRO2 , and local microvascular OEF may be calculated as follows:
Figure 1: Systemic, pHa , and Paco2 -corrected arterial oxygen dissociation curve in the rabbit and corresponding cerebral capillary/venous oxygen dissociation curve obtained from simultaneous assessment of cortical Po2 (Pbr O2 ) and hemoglobin saturation in cortical microvasculature (Smv O2 , representing ≥70% venules) during progressive hypoxia (n = 10; mean ± sd). P50 denotes the systemic arterial (Pao2 ) and cortical Po2 (Pbr O2 ) values observed at half-maximal hemoglobin saturation in systemic arterial blood (Sa O2 ) and cortical microvessels (Smv O2 ). Whereas the slopes of systemic arterial and cerebral microvascular (venular) oxygen dissociation curves differ, P50 remains constant (32.7 mm Hg). Polynomial curve fits were applied to illustrate the relationship between mean Pao2 /Pbr O2 and SO2 . The resulting polynomial equations and multiple correlation coefficients (R2 ) are plotted within the corresponding graphs.
MATH MATH MATH
Data were expressed as the mean ± sd or as median and range in those instances with substantial deviation from normal distribution of data. Nonparametric analysis of variance (Kruskal-Wallis test) was used to describe differences in distribution among groups. Statistical significance was assumed for P < 0.01. Statistical analysis was performed by using the Statistica 5.0 package (StatSoft, Hamburg, Germany).
Results
CBF, Oxygenation, and Metabolism During Global Ischemia
During variation of CPP between 186 ± 14 to 14 ± 4 mm Hg (baseline: 59 ± 4 mm Hg), lco CBF (baseline average: 50.4 ± 3.8 mL · 100 g−1 · min−1 ) ranged from 130 ± 12 to 0 ± 2 mL · 100 g−1 · min−1 (Fig. 2 ). Smv O2 ranged from peak values of 70% ± 4% to 0% ± 1% (baseline average: 54% ± 5%). Similarly, Pbr O2 and tHb concentrations ranged from peak values of 120 ± 8 mm Hg and 6 ± 2 U/mL to 0 ± 1 mm Hg and <3 U/mL (baseline averages: 37 ± 5 mm Hg and 3 ± 1 U/mL). Considerable interindividual CPP variability during cerebral circulatory arrest and corresponding nadirs of Pbr O2 and Smv O2 was observed (range, 10–18 mm Hg). Cyt a+a3 oxidation decreased from 79% ± 4% (hyperperfusion) and 67% ± 4% (baseline average) to <4% during cerebral circulatory arrest (Fig. 2 ). BEA (SEF95 ) did not differ significantly between hyperperfusion (11.2 ± 1.2 Hz) and baseline conditions (9.8 ± 1.1 Hz). Loss of BEA (SEF95 <0.4 Hz) preceded cessation of lco CBF (range, 5–11 mL · 100 g−1 · min−1 ). The lactate-pyruvate ratio (L/P ratio) and extracellular Glu concentrations increased from 9.6 ± 17.9 (7.6 ± 11.1) μmol/L during hyperperfusion to 17.6 ± 16.4 (18.1 ± 16.7) μmol/L under baseline conditions. Peak values for L/P ratio (877 ± 359) and Glu (673 ± 268) μmol/L were observed during complete global ischemia (lco CBF <1 mL · 100 g−1 · min−1 ) (Fig. 3 ).
Figure 2: Relationship between cerebral perfusion pressure (CPP), local cortical blood flow (lco CBF), brain oxygen-tension (Pbr O2 ), cytochrome oxidase redox level (Cyt a+a3 oxidation), and brain electrical activity (SEF95 ) during random variation of CPP (n = 10; mean ± sd). Changes in lco CBF and Pbr O2 show characteristic features of cerebrovascular pressure-flow autoregulation. Brain electrical activity (SEF95 ) is closely coupled to the state of cellular respiration (Cyt a+a3 oxidation). Significant differences (P < 0.01) between average baseline values (white dots) and groups of data recorded at different target CPP plateaus (black dots) are indicated by brackets and double asterisks.
Figure 3: Relationship between brain oxygen tension (Pbr O2 ), microvascular hemoglobin saturation (Smv O2 ), extracellular glutamate concentration (Glu), lactate-pyruvate ratio (L/P ratio), and local cortical blood flow (lco CBF) during random variation of CPP (n = 10; mean ± sd). Whereas Pbr O2 is almost linearly coupled to lco CBF, a sigmoid association is observed between Smv O2 and cortical perfusion. Extracellular glutamate concentrations and L/P ratio steeply increase beyond critical tissue perfusion levels (lco CBF ≤20 mL · 100 g−1 · min−1 ). Significant differences (P < 0.01) between average baseline values (white dots) and groups of data recorded at various target CPP plateaus (black dots) are indicated by brackets and double asterisks.
CBF, Oxygenation, and Metabolism During Systemic Hypoxia
Random variation of Pao2 between hyperoxic (345 ± 13 mm Hg) and normoxic levels (100 ± 8 mm Hg) yielded corresponding changes in average Pbr O2 between 120 ± 9 (hyperoxia) and 38 ± 4 mm Hg (normoxia). During deep hypoxia (Pao2 : 10 ± 3 mm Hg), Pbr O2 decreased to 3 ± 2 mm Hg. Smv O2 varied between 71% ± 5% (peak values during hyperoxia), 55% ± 4% (baseline average), and 0% ± 2% (trough levels during profound hypoxia), along with corresponding changes in lco CBF from 51 ± 7 (normoxia) to 89 ± 9 mL · 100 g−1 · min−1 (hypoxia). Compensatory increases in lco CBF >5% of baseline were registered beginning at Pbr O2 levels ≤18 mm Hg (Pao2 ≤40 mm Hg), whereas tHb (as an estimate of cerebral blood volume) increased from 3 ± 1 (baseline) to 7 U/mL tissue (7 ± 2) as a result of hypoxic vasodilatation. Cyt a+a3 oxidation decreased from 79% (79% ± 5%; hyperoxia) via 67% (67% ± 5%) at Pbr O2 values of 38 mm Hg (normoxia) to <6% (range, 3%–9%) during profoundly hypoxic conditions (Pbr O2 <3 mm Hg). Correspondingly, SEF95 varied between 11.3 ± 1.5 (hyperoxia), 9.6 ± 1.2 (normoxia), and 0.3 ± 0.6 Hz (hypoxia). Glu (411 ± 159 μmol/L) and L/P ratio (443 ± 179) were markedly increased under severely hypoxic conditions compared with baseline values of 15 ± 14 μmol/L (Glu) and 17 ± 17 (L/P ratio).
Indices of Cerebral Energy State Derived from Multiparametric Monitoring
Baseline AVDO2 (CMRO2 ) ranged from 5.2 to 6.6 mL O2 · 100 mL−1 (3.9–3.1 mL · 100 g−1 · min−1 ). During profound ischemia (lco CBF ≤5 mL · 100 g−1 · min−1 ), AVDO2 increased to 16.4 ± 2.6 mL O2 · 100 mL−1 , whereas CMRO2 approached zero. OEF increased from 0.35–0.45 under baseline conditions (lco CBF: 51 ± 6 mL · 100 g−1 · min−1 ) to 0.81, recorded at the ischemic flow threshold of 20 ± 3 mL · 100 g−1 · min−1 . Beyond this critical perfusion level, compensatory OEF (>0.86) was exhausted, resulting in a corresponding reduction of CMRO2 (Fig. 4 ).
Figure 4: Relationship between local cortical blood flow (lco CBF), brain oxygen tension (Pbr O2 ), arteriovenous oxygen difference (AVDO2 ), and cerebral metabolic rate for oxygen (CMRO2 ) during variable degrees of cerebral ischemia (upper graph) and hypoxia (lower graph) (n = 10; mean values). The hatched boxes designate critical energetic thresholds, indicated by significant suppression oxygen dependent metabolism (CMRO2 ) and exhausted compensatory adaptation of either microvascular oxygen extraction (AVDO2 ) during ischemia or lco CBF during hypoxia.
Baseline AVDO2 (5.8 ± 1.5 mL O2 · 100 mL−1 ) and CMRO2 (3.7 ± 0.6 mL · 100 g−1 · min−1 ) observed under normoxia (Pbr O2 : 36 mm Hg; Fi O2 : 26%) decreased to trough values of <0.5 mL O2 · 100 mL−1 (AVDO2 ) and 0.2 mL · 100 g−1 · min−1 (CMRO2 ) during hypoxia, corresponding to Pbr O2 levels <1.5 mm Hg (Fi O2 below 2%). Whereas OEF was reduced from baseline average levels (35%–40%) to 25%–30% during hyperoxia, it remained constant during hypoxia (Pbr O2 ≤15 mm Hg).
Discussion
Critical cerebral ischemia and hypoxia were assessed by five complementary monitoring modalities (including differential fluid pressure measurements [mean arterial blood pressure, ICP, CPP], vascular variables [lco CBF, cerebral capillary Hb concentration], evaluation of tissue oxygen supply [Pbr O2 , Smv O2 , Cyt a+a3 oxidation], and secondary metabolic [Glu, L/P ratio] as well as functional [BEA] effector systems) under defined, reproducible conditions. It is emphasized that our data represent only acute changes in cerebral microcirculation and metabolism, because there are no time-based controls. Assessment of lco CBF by thermal-diffusion techniques yields quantitative data if true zero calibration values are obtained. This method may not reliably represent the global pattern of cerebral circulation, especially with heterogeneous tissue flow characteristics.
To reduce flow heterogeneity, we induced global ischemia through variation of CPP. lco CBF values presented in this study seem to reflect global changes of cerebral perfusion with reasonable accuracy and are consistent with data obtained in similar experiments (1,2,8,9,11,13,17,18) . Sylvia et al. (3) reported a sigmoid relationship between Pao2 and Cyt a+a3 oxidation during hypoxia in the rat brain, reaching a critical energetic threshold at Pao2 of 30 mm Hg, corresponding to 80% Cyt a+a3 reduction, progressive phosphocreatine, and subsequent adenosine triphosphate depletion as well as a steep increase in the L/P ratio. Cyt a+a3 redox levels were shown to be linearly related to cerebral phosphocreatine concentrations. These findings correspond favorably with data from recent positron emission tomography studies (19) , indicating that oxidative metabolism is maintained down to arterial Po2 levels of 30–35 mm Hg. During systemic hypoxia, Pbr O2 values of 10–14 mm Hg (corresponding to Pao2 levels ranging between 29 and 35 mm Hg) were associated with 75% Cyt a+a3 reduction. Various experimental data suggest that Cyt a+a3 is not fully oxidized under physiologic conditions (3,8,17,20) . We obtained 50% Cyt a+a3 reduction at Pbr O2 values ranging from 15 to 20 mm Hg (P50 for Cyt a+a3 ), corresponding to an estimated mean Pic O2 of approximately 0.5 mm Hg [averaged mean value based on data extracted from Refs. (20–24) ]. Comparable Pic O2 values seem to be adequate for optimal oxidative adenosine triphosphate synthesis in a variety of different species (21–23) . These very low Pic O2 values (compared with venous Po2 ) indicate that oxy- genated blood may not achieve equilibrium with tissue during its passage through cerebral capillaries (24) .
Another important gauge of critical oxygen supply is the Pic O2 , at which a decrease in cellular oxygen utilization is observed. Chance et al. (20) characterized this relationship by assessment of nicotinamide adenine dinucleotide (NADH) fluorescence in rat brain mitochondria as a function of extra- and intracellular Po2 . Pic O2 values of 0.5 mm Hg, corresponding to a Pbr O2 of 15 mm Hg at an Fi O2 of 8%, induced a distinct increment in NADH reduction. Pic O2 of 0.2 mm Hg (corresponding to an Fi O2 of 4%) just sustained cellular respiration, with 30% to 60% NADH reduction. During anoxia (Pic O2 : 0.06 mm Hg, abolition of cellular respiration), NADH reduction reached 87% of baseline. Similar findings were reported for global ischemia (4) . These results indicate an extremely efficient use of intracellular oxygen by respiratory enzymes. It was therefore suggested that Pic O2 predicts cellular energy homeostasis and function (21,22) . Whereas Pic O2 is difficult to quantify directly (24) , reliable techniques have been devised for continuous assessment of Pbr O2 (10,11) , which depends on radial diffusion of oxygen from erythrocyte/plasma via the endothelium to the interstitial space. Duling et al. (18) have reported a physiologic Po2 gradient of 0.9 mm Hg/μm distance across the wall of arterioles with luminal diameters of 40–70 μm (wall thickness: 8–15 μm). This gradient is minimal for capillaries and small venules (25) . In the extracellular space, Po2 decreases nonlinearly with increasing distance from the vessel. At radial distances of 30 μm from the vessel, mean Po2 is approximately 40 mm Hg for small arterioles, 30 mm Hg for capillaries, and 25 mm Hg for venules (25) . Under physiologic conditions, polarographic oxygen microelectrodes integrate Pbr O2 from all cortical microvessels (mean Pbr O2 during normoperfusion and normoxygenation in this study: 30 mm Hg). In agreement with recent data indicating the venous fraction within cortical microvasculature to exceed 70%(16) , it seems tenable to suggest that Pbr O2 predominantly reflects venous Po2 . However, this is contrasted by the diverse relationships between Pbr O2 , OEF, and lco CBF observed during our experiments, which may in part be explained by the fact that Pbr O2 measurements are significantly influenced by the relative predominance of venous or arterial vessels present in close vicinity to the catheter. Arteriolar predominance will result in coupling between Pbr O2 and CBF, whereas a purely venous environment will produce close correspondence to OEF (AVDO2 ). During clinical monitoring, both components will overlap, thus rendering results widely unpredictable without additional information on either corresponding CBF or OEF (AVDO2 ).
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