The oxygen uptake of Sarotherodon niloticus L. and the oxygen binding properties of its blood and hemolysate (Pisces: Cichlidae)

The oxygen consumption of Sarotherodon niloticus L. was found to decline below a critical oxygen concentration of about 2 mg O2/l. An important influence of CO2 on the oxygen affinity of whole blood was observed at all temperatures between 20 and 35 degrees C for gas mixtures containing 5.6% CO2. Purified hemolysate showed extremely high oxygen affinities (p50 = 1.08 mmHg at pH 8.2 and 20 degrees C). Low cooperativity was observed at all temperatures from 20 to 35 degrees C, and pH values between 6.5 and 8.2. The Bohr effect proved to be important at pH values lower than pH 7.5 (phi = delta log P50/delta pH = -0.58 between pH 6.5 and 7.0 at 35 degrees C). The oxygen affinities show high thermal sensitivity without a marked pH influence (delta H value for overall oxygenation at pH was -71.7 kJ/mol). The obtained results are interpreted as adaptations to diurnal variations in ambient temperature and oxygen availability.     

Influence of carbon monoxide on hemoglobin-oxygen binding.

The oxygen dissociation curve and Bohr effect were measured in normal whole blood as a function of carboxyhemoglobin concentration [HbCO]. pH was changed by varying CO2 concentration (CO2 Bohr effect) or by addition of isotonic NaOH or HCl at constant PCO2 (fixed acid Bohr effect). As [HbCO] varied through the range of 2, 25, 50, and 75%, P50 was 26.3, 18.0, 11.6, and 6.5 mmHg, respectively. CO2 Bohr effect was highest at low oxygen saturations. This effect did not change as [HbCO] was increased. However, as [HbCO] was increased from 2 to 75%, the fixed acid Bohr factor increased in magnitude from -0.20 to -0.80 at very low oxygen saturations. The effect of molecular CO2 binding (carbamino) on oxygen affinity was eliminated at high [HbCO]. These results are consistent with the initial binding of O2 or CO to the alpha-chain of hemoglobin. The results also suggest that heme-heme interaction is different for oxygen than for carbon monoxide.     

Blood oxygen transport in common map turtles during simulated hibernation

We assessed the effects of cold and submergence on blood oxygen transport in common map turtles (Graptemys geographica). Winter animals were acclimated for 6-7 wk to one of three conditions at 3 degrees C: air breathing (AB-3 degrees C), normoxic submergence (NS-3 degrees C), and hypoxic (PO2=49 Torr) submergence (HS-3 degrees C). NS-3 degrees C turtles exhibited a respiratory alkalosis (pH 8.07; PCO2=7.9 Torr; [lactate]=2.2 mM) relative to AB-3 degrees C animals (pH 7.89; PCO2=13.4 Torr; [lactate]=1.1 mM). HS-3 degrees C animals experienced a profound metabolic acidosis (pH 7.30; PCO2=7.9 Torr; [lactate]=81 mM). NS-3 degrees C turtles exhibited an increased blood O2 capacity; however, isoelectric focusing revealed no seasonal changes in the isohemoglobin (isoHb) profile. Blood O2 affinity was significantly increased by cold acclimation; half-saturation pressures (P50's) for air-breathing turtles at 3 degrees and 22 degrees C were 6.5 and 18.8 Torr, respectively. P50's for winter animals submerged in normoxic and hypoxic water were 5.2 and 6.5 Torr, respectively. CO2 Bohr slopes (Delta logP50/Delta pH) were -0.15, -0.16, and -0.07 for AB-3 degrees C, NS-3 degrees C, and HS-3 degrees C turtles, respectively; the corresponding value for AB-22 degrees C was -0.37. The O2 equilibrium curve (O2EC) shape was similar for AB-3 degrees C and NS-3 degrees C turtles; Hill plot n coefficients ranged from 1.8 to 2.0. The O2EC shape for HS-3 degrees C turtles was anomalous, exhibiting high O2 affinity below P50 and a right-shifted segment above half-saturation. We suggest that increases in Hb-O2 affinity and O2 capacity enhance extrapulmonary O2 uptake by turtles overwintering in normoxic water. The anomalous O2EC shape and reduced CO2 Bohr effect of HS-3 degrees C turtles may also promote some aerobic metabolism in hypoxic water.     

Temperature acclimation and oxygen binding properties of blood of the European eel, Anguilla anguilla

Temperature acclimation of the European eel, Anguilla anguilla, resulted in red cell GTP/Hb molar ratios of 1.20, 1.77 and 0.80 at 2, 17 and 29 degrees C, respectively. A small increase in blood oxygen capacity was present in 29 degrees C acclimated eels. The CO2 Bohr effect and the shape of the oxygen binding curve (n-Hill) were invariant with both temperature and GTP/Hb. The significant differences in the GTP/Hb ratio corresponded with a strong enhancement of the temperature effect on blood oxygen affinity between 2 and 17 degrees C and a similarly strong compensation between 17 and 29 degrees C. Predicted in vivo P50 values were 3.0, 13.8 and 17.6 mmHg at 2 degrees C, 17 and 29 degrees C, respectively. The adaptational value of these findings are discussed in relation to standard metabolic rates at the various temperatures. A tentative hypothesis is proposed that the present study confirms and expands earlier work and supports the contention that adjustments in blood oxygen affinity of thermally acclimated teleosts serve to provide them with an unloading O2 tension for diffusion closely matching the standard oxygen requirements at the various temperatures.     

Oxygen transport function of the blood in hyperthermia in rabbits

After 30-min or longer incubation of rabbit blood under 42 degrees C the blood O2 affinity was increased. During governed hyperthermia of conscious rabbits PO2, pH and the oxygen content in the mixed venous blood were decreased. Similar events were observed after 1 hour from the ceasing of hyperthermia. In the real blood circulation the oxygen affinity of haemoglobin was decreased because of the higher temperature. But after the recalculation of P50 to the standard conditions (t = 37 degrees C, pH 7.4, PCO2 = 40 Torr) it's value was below the initial one by 4.0 +/- 0.68 Torr. The mechanism of the increase of the oxygen affinity of haemoglobin is discussed.     

Hemoglobin-oxygen affinity in anemia

In blood of 21 anemic patients and 8 normal subjects (N) three oxygen dissociation curves each were measured at different pH values to calculate Bohr coefficients after acidification with CO2 (BCCO2) or fixed acid (BCFA), and other important parameters of oxygen affinity. The patients had either low hemoglobin or red cell production (L: n = 11, 7.3 g/dl Hb) or high erythrocyte production combined with high loss (H: n = 10, 7.8 g/dl Hb). The standard half saturation pressure P50 (pH 7.4, 37 degrees C) was equally elevated in both anemic groups (L: 30.5, H: 30.8, N: 26.7 mmHg), as well as the diphosphoglycerate concentration (DPG) (L: 18.7, H: 18.6, N: 12.7 mumol/g Hb). The red cell pH of the anemics was lower than for the N (approximately 0.045 units) causing part of the difference in P50. Hill's "n" tended to high values in the anemics except at low O2-saturation in the H. For BCCO2 no significant difference among the groups was observed. BCFA, however, increased in the H at low SO2 compared to the N and L. The cause for most of the changes in hemoglobin oxygen affinity in anemics was the high [DPG]. The combination of high P50 and high "n" value as in the L seems to be most advantageous for tissue oxygenation.     

Pressure increases oxygen affinity of whole blood and erythrocyte suspensions

Effect of hydrostatic pressure (HP) on whole blood (WB) or erythrocyte suspension hemoglobin (Hb) O2 affinity has been studied using newly developed techniques. O2 partial pressure at which hemoglobin is half-saturated with O2 (P50) measurements were made at 5 HP (1, 26, 51, 76, and 126 ATA) on thin films of human WB or erythrocytes at 37 degrees C. CO2 partial pressure of WB was either 28 or 57 Torr (film pH 7.51 or 7.31). HP increased affinity of erythrocytes and WB. For erythrocytes in tris(hydroxymethyl)aminomethane buffer, the ratio (r) of P50 (1 ATA)/P50 (51 ATA) was 1.089 (P less than 0.01) at pH 7.0. WB P50 decreased with HP at a rate of -3.3 X 10(-2) Torr X atm-1; change in P50 at higher HP vs. 1 ATA was highly significant (P less than 0.01). No effect of HP was seen on the CO2 Bohr coefficient. Inert gas choice, N2 vs. helium (He), had no effect. Measurement of decrease of P50 with HP at 76 ATA in hemolyzed WB gave an r of 1.15, as great or greater than that found in WB, indicates that Donnan equilibrium alteration is not involved. No effect of HP was found in WB on the ratio of P50 of erythrocytes with normal (5 mmol/l erythrocytes) 2,3-diphosphoglycerate (DPG) to P50 of erythrocytes with less than 5% of normal DPG; i.e., no effect of pressure was seen on the independent influence of DPG on P50. WB measurements of Hb O2 uptake under simulated physiological conditions are characterized by a net decrease in partial molal volume on oxygenation of 30-35 ml/mol Hb4.     

Placental gas exchange in the guinea-pig: fetal blood gas tensions following the reduction of maternal oxygen capacity with carbon monoxide

The effect of CO hypoxia on the placental exchange of respiratory gases was studied in anaesthetized pregnant guinea-pigs near term. Fetal PO2 and PCO2 were measured by mass spectrometry from a blood gas catheter in the right atrium. Administration of 5 ml CO over 65 s reduced maternal oxygen capacity by 26%. There was a rapid fall in fetal arterial PO2 and a more gradual rise in fetal PCO2. It was shown in separate experiments that the carboxyhaemoglobin content of fetal blood did not alter greatly in the first few min. after CO administration, which is the interval within which fetal PO2 was seen to fall. The alteration in fetal gas tensions can therefore be ascribed to the increased oxygen affinity and reduced oxygen capacity occasioned by the presence of carboxyhaemoglobin in the maternal blood. The alteration in placental oxygen transfer was calculated from the experimental findings, using a mathematical model of placental gas exchange in the guinea-pig. The total reduction in the oxygen transfer was 32% of the initial value. It was calculated that the reduction in maternal oxygen capacity was responsible for about two-thirds of this decrease, the remainder being due to the increased oxygen affinity of maternal blood.     

Non-cooperative oxygen binding in the erythrocytes of pre-implanted sheep embryos

The whole-blood oxygen equilibrium curve in sheep embryos at 17 days gestation was essentially hyperbolic, indicating non-cooperative O2 binding with Hill's coefficient, n approximately equal to 1.2. O2 affinity was higher in embryonic blood (P50 = 7.1 mmHg at pH = 7.4 and 39 degrees C) than in maternal blood (P50 = 32.6 mmHg at pH = 7.4 and 39 degrees C). The Bohr effect was apparently smaller in the embryo (delta log P50/delta pH = --0.52) than in maternal blood (--0.36).     

血红蛋白携氧-释氧动力学研究

本文研究了鸡、家兔、鲤鱼、蟾蜍4种实验动物血红蛋白(hemoglobin,Hb)携氧-释氧动力学过程,初步建立Hb携氧-释氧动力学研究方法,并探讨Hb携氧-释氧动力学过程与动物生存环境之间的关系.结果显示:4种动物Hb携氧动力学曲线均呈"S"形曲线特征,与传统的Hb氧解离曲线(oxygen dissociation curve,ODC)相似;同时不同动物Hb携氧-释氧动力学曲线也有各自特点,如鸡Hb释氧时间长达(1 411±6)S;在Hb携氧.释氧曲线I阶段,鲤鱼上升斜率远大于家兔等.提示Hb携氧-释氧动力学曲线可反映不同动物Hb携氧效率的差异.与传统ODC参数P50相对应,由动力学曲线可得到Hb携氧动力学参数T50°T50是Hb达到50%氧饱和度所需时间,可直观反映Hb携氧效率的差异.4种实验动物Hb均有较稳定的T50,从大到小依次为:鸡、家兔、鲤鱼和蟾蜍.对Hb携氧动力学曲线与ODC综合分析,可得到Hb携氧效能参数E50,表示Hb达到50%氧饱和度所用时间与环境氧分压之间的关系,即E50(50% Sat,Xeo2,yr).E50有可能成为全面评价Hb携氧效能的综合指标.     

Gas exchange properties of goat hemoglobins A and C

Hypoxic or anemic goats with the A hemoglobin genotype switch to the production of hemoglobin C, resulting in a reduced blood oxygen affinity. However, the physiologic consequences of this switch are not clear. We therefore studied the gas exchange properties of the two hemoglobin types. We found that purified hemoglobins A and C have very similar oxygen affinities and H+ Bohr effects, but in the presence of CO2, the affinity of hemoglobin C is substantially less than that of hemoglobin A. That this is not a nonspecific ionic effect is suggested by identical effects of NaCl on O2 binding to the two proteins and by a 2-fold higher capacity of hemoglobin C to bind CO2. The data can be explained by a class of CO2 binding sites in the beta C chain whose affinity is much higher than that of either of the primary sites or of those in Hb A. Our results suggest that in hemoglobin C-containing red cells CO2 acts as a potent allosteric effector, analogous to the role played by 2,3-diphosphoglycerate in human red blood cells. Goat hemoglobin C may have advantages over hemoglobins A or B in O2 transport under hypoxic conditions or in anemia.     

Temperature effects on hemocyanin oxygen binding in an antarctic cephalopod

The functional relevance of oxygen transport by hemocyanin of the Antarctic octopod Megaleledone senoi and of the eurythermal cuttlefish Sepia officinalis was analyzed by continuous and simultaneous recordings of changes in pH and hemocyanin oxygen saturation in whole blood at various temperatures. These data were compared to literature data on other temperate and cold-water cephalopods (octopods and giant squid). In S. officinalis, the oxygen affinity of hemocyanin changed at deltaP50/degrees C = 0.12 kPa (pH 7.4) with increasing temperatures; this is similar to observations in temperate octopods. In M. senoi, thermal sensitivity was much smaller (<0.01 kPa, pH 7.2). Furthermore, M. senoi hemocyanin displayed one of the highest levels of oxygen affinity (P50 < 1 kPa, pH 7.6, 0 degrees C) found so far in cephalopods and a rather low cooperativity (n50 = 1.4 at 0 degrees C). The pH sensitivity of oxygen binding (delta log P50/delta pH) increased with increasing temperature in both the cuttlefish and the Antarctic octopod. At low PO2 (1.0 kPa) and pH (7.2), the presence of a large venous oxygen reserve (43% saturation) insensitive to pH reflects reduced pH sensitivity and high oxygen affinity in M. senoi hemocyanin at 0 degrees C. In S. officinalis, this reserve was 19% at pH 7.4, 20 degrees C, and 1.7 kPa O2, a level still higher than in squid. These findings suggest that the lower metabolic rate of octopods and cuttlefish compared to squid is reflected in less pH-dependent oxygen transport. Results of the hemocyanin analysis for the Antarctic octopod were similar to those reported for Vampyroteuthis--an extremely high oxygen affinity supporting a very low metabolic rate. In contrast to findings in cold-adapted giant squid, the minimized thermal sensitivity of oxygen transport in Antarctic octopods will reduce metabolic scope and thereby contribute to their stenothermality.     

Cerebral oxidative metabolism during sustained hypoxaemia in fetal sheep

Cerebral oxidative metabolism was determined in 9 unanaesthetized fetal sheep near term, during a normoxic control period and during sustained hypoxaemia induced by lowering maternal inspired O2 concentration to 11-8% with 3% CO2 added. Preductal arterial and sagittal vein blood samples were analyzed for oxygen content, blood gas tensions and pH. Cerebral blood flow was measured with a radioactively-labelled microsphere technique. Induced fetal hypoxaemia resulted in a metabolic acidaemia which was progressive over several h. Cerebral oxygen consumption was initially marginally decreased in response to induced hypoxaemia with cerebral blood flow increased thus maintaining O2 delivery coupled to cerebral oxygen consumption. With a worsening metabolic acidemia, pHa below 7.15, cerebral blood flow fell as mean arterial pressure fell, but cerebral oxygen consumption was little changed as fractional O2 extraction now increased. With sustained hypoxaemia and profound metabolic acidaemia, pHa below 7.00, fractional O2 extraction also fell resulting in a terminal fall in cerebral oxygen consumption to less than 50% of control values. Although the initial marginal decrease in cerebral oxygen consumption in response to induced hypoxia may represent a protective mechanism whereby the fetal brain decreases nonessential functions thus lowering oxidative needs, the terminal fall in cerebral oxygen consumption suggests pathological alterations within the brain at this time.     

Oxygen dissociation curves of the blood of larval and adult lampreys (Lampetra fluviatilis).

1. An electrolytic method was used to plot the oxygen dissociation curves of whole blood from both the larva and adult of the lamprey Lampetra fluviatilis at a temperature of 10 degrees C and over a pH range of 6-5-8-1. 2. Larval blood has a far higher affinity for oxygen than that of adults, the respective calculated P50's at a pH of 7-75 being 1-9 and 10-7 mmHg. 3. The high affinity of larval blood is of use to a relatively sedentary animal living in burrows, and the increased oxygen delivery pressure brought about by the shift of the curve to the right in the adult is of advantage to an animal exhibiting greater activity. 4. The n value obtained from the Hill plots increased with increasing saturation and were lower in larvae than adults at the same level of blood saturation. 5. The Bohr effect in larvae at 10 degrees C over the pH range 6-5-8-1 was --0-25, a value which did not differ significantly from the -0-22 found in adults.     

Hemoglobin affinity for oxygen in three subspecies of toads (Bufo sp.) living at different altitudes

Blood oxygen affinity and red blood cell properties were measured in three subspecies of genus Bufo: Bufo spinulosus limensis, collected at sea level and at an average day temperature of 20 degrees C; Bufo spinulosus trifolium, from 3100 m, average day temperature of 15 degrees C; and Bufo spinulosus flavolineatus, from 4100 m, average day temperature of 10 degrees C. Electrophoresis of the hemoglobin showed the same component in each of the three subspecies. At 20 degrees C the blood oxygen affinities (P50) showed small differences between Bufo spinulosus limensis and Bufo spinulosus trifolium, whereas the value for Bufo spinulosus flavolineatus was markedly lower. At 10 degrees C, the ambient temperature of Bufo spinulosus flavolineatus, the P50 was extremely low compared with the other two subspecies at their corresponding ambient temperatures.     

Factors affecting gas transfer across the placenta and the oxygen supply to the fetus

The factors that affect placental gas exchange are reviewed, with particular reference to recent measurements of the effect of changes in one or more of these factors on O2 delivery to the fetus and on fetal O2 uptake. Fetal or maternal placental blood flows and blood O2 capacities can be altered by 50% without any major change occurring in fetal O2 uptake: umbilical venous O2 content and fetal O2 delivery fall, but the O2 consumption of the fetus is maintained by increasing the fractional extraction of O2 from the blood. There is evidence that the fetus can also cope with a reduction in blood O2 affinity resulting from replacement of fetal with maternal blood. The critical level of O2 delivery is about 0.6 mmol.min-1.kg-1 in the fetal sheep. When O2 delivery is reduced below this level, by decreasing maternal placental blood flow, raising or lowering fetal haematocrit, decreasing maternal O2 capacity, or decreasing fetal O2 affinity, fetal O2 uptake tends to fall. The resultant tissue hypoxia and inability to maintain oxidative metabolism is reflected in a lowering of arterial blood pH and base excess. Whilst the results of short-term experiments suggest that there exists a large reserve for placental O2 transfer and fetal O2 supply, there is evidence that fetal O2 uptake is more tightly linked to O2 delivery when the latter is reduced for a period of days or weeks. In the long term, restriction of the supply of O2 and nutrients leads to a reduced rate of fetal growth and a reprogramming of tissue development.     

Retinal venous oxygen saturation and cardiac output during controlled hemorrhage and resuscitation.

The objective was to test calibration of an eye oximeter (EOX) in a vitiligo swine eye and correlate retinal venous oxygen saturation (Srv(O(2))), mixed venous oxygen saturation (Sv(O(2))), and cardiac output (CO) during robust changes in blood volume. Ten anesthetized adult Sinclair swine with retinal vitiligo were placed on stepwise decreasing amounts of oxygen. At each oxygen level, femoral artery oxygen saturation (Sa(O(2))) and retinal artery oxygen saturation (Sra(O(2))) were obtained. After equilibration on 100% O(2), subjects were bled at 1.4 ml. kg(-1). min(-1) for 20 min. Subsequently, anticoagulated shed blood was reinfused at the same rate. During graded hypoxia, exsanguination, and reinfusion, Sra(O(2)) and Srv(O(2)) were measured by using the EOX, and CO and Sv(O(2)) were measured by using a pulmonary artery catheter. During graded hypoxia, Sra(O(2)) correlated with Sa(O(2)) (r = 0.92). Srv(O(2)) correlated with Sv(O(2)) (r = 0.89) during exsanguination and reinfusion. Sv(O(2)) and Srv(O(2)) correlated with CO during blood removal and resuscitation (r = 0.92). Use of vitiligo retinas improved the calibration of EOX measurements. In this robust hemorrhage model, Srv(O(2)) correlates with CO and Sv(O(2)) across the range of exsanguination and resuscitation.     

Maternal-Fetal Oxygen Transfer in Lower Vertebrates

There exists a difference in oxygen affinity between fetal andmaternal bloods in almost all vertebrates examined and thisdifference in affinities probably facilitates oxygen transferto the fetus. It is likely that the high oxygen affinity offetal blood represents a biochemical pre-adaptation from anancestral oviparous embryo for oxygen uptake in a relativelyhypoxic environment. In most cases, the maternal-fetal differencein blood oxygen affinities is due to the characteristics ofthe fetal red cell and not due to any changes in the adult redcell during pregnancy. These characteristics are based on thepresence of a unique fetal hemoglobin with an intrinsicallyhigh affinity for oxygen or on the absence of high red cellconcentrations of organic phosphates—allosteric modulatorsof hemoglobin function. However, in several species of snake,representing different families, it appears that pregnancy isassociated with apronounced decrease in the oxygen affinityof the adult red cell. This suggests that the blood of the pregnantfemale is better able to unload oxygen to the fetus than couldthe blood of thenonpregnant adult. The maternal-fetal differencein blood oxygen affinities in these species isprobably due tothe characteristics of the fetal red cell as well as to thechange in the affinity of the adult cell during pregnancy. Nonetheless,although the magnitude of the pregnancy-associated change inoxygen affinity of the adult cell in these snakes suggests thatit is physiologically significant, the actual significance remainsto be determined.     

Respiratory responses to short term hypoxia in the snapping turtle, Chelydra serpentina

Among vertebrates, turtles are able to tolerate exceptionally low oxygen tensions. We have investigated the compensatory mechanisms that regulate respiration and blood oxygen transport in snapping turtles during short exposure to hypoxia. Snapping turtles started to hyperventilate when oxygen levels dropped below 10% O(2). Total ventilation increased 1.75-fold, essentially related to an increase in respiration frequency. During normoxia, respiration occurred in bouts of four to five breaths, whereas at 5% O(2), the ventilation pattern was more regular with breathing bouts consisting of a single breath. The increase in the heart rate between breaths during hypoxia suggests that a high pulmonary blood flow may be maintained during non-ventilatory periods to improve arterial blood oxygenation. After 4 days of hypoxia at 5% O(2), hematocrit, hemoglobin concentration and multiplicity and intraerythrocytic organic phosphate concentration remained unaltered. Accordingly, oxygen binding curves at constant P(CO(2)) showed no changes in oxygen affinity and cooperativity. However, blood pH increased significantly from 7.50+/-0.05 under normoxia to 7.72+/-0.03 under hypoxia. The respiratory alkalosis will produce a pronounced in vivo left-shift of the blood oxygen dissociation curve due to the large Bohr effect and this is shown to be critical for arterial oxygen saturation.     

Contribution of cooperativity and the Bohr effect to efficient oxygen transport by hemoglobins from five mammalian species

By using published experimental values of the standard oxygen (O2) equilibrium curve and the in vivo arterial and venous O2 pressure (PO2) of fetal and maternal blood in five mammalian species (human, cow, pig, sheep, and horse), we investigated the relationship between the efficiency of O2 delivery and the effectiveness of the Bohr shift, and discussed the significance of cooperativity for mammalian Hb. The O2 delivery of fetal blood was more efficient than that of maternal blood, and the effectiveness of the Bohr shift at both O2 loading and release sites of fetal blood was high. A linear relationship was observed between the efficiency of O2 delivery and the effectiveness of the Bohr shift at O2 loading sites of the five mammalian species. In both fetal and maternal blood, the theoretically obtained optimal P50 value for O2 delivery (optP50(OD)) was nearly equal to the optimal P50 value for the effectiveness of the Bohr shift at the O2 loading site (optP50(BS)(loading)). This phenomenon was favorable for fetal blood to uptake O2 from maternal blood with the aid of the Bohr shift and to deliver a large amount of O2 to the tissues. The optP50s for the effectiveness of the Bohr shift at given arterial PO2 (PaO2) and venous PO2 (PvO2) were derived as follows: optP50(BS)(loading) = PaO2((n+1)/(n-1))(1/n), and optP50(BS)(release) = PvO2((n+1)/(n-1))(1/n). The relationship between in vivo PO2s and n, PaO2/PvO2 = ((n+1)/(n-1))(2/n), was derived by letting optP50 for the efficiency of O2 delivery be equal to that for the effectiveness of the Bohr shift.