Algorithms for calculating and correcting blood-gas and acid-base variables

The influence of delayed sample processing time on PO2 values in critically ill patients with sepsis-induced leucocytosis

Background: The extent of error, from collection to processing, when measuring PO2, PCO2 and pH in arterial blood samples drawn from critically ill patients with sepsis and leucocytosis, is unknown. Methods: Twenty-nine patients with sepsis and a leucocyte count > 12 000/mm3, who had routine arterial blood analysis were included in the study. Blood was drawn into two 1 ml heparinised glass syringes. One syringe was cooled on ice and tested at 60 minutes. The other syringe was used for analysis at 0, 10, 30 and 60 minutes. Differences in measurements, from the Time-0 results, were described. For PO2, linear mixed models estimated the impact of time to processing, controlling for the potentially confounding and moderating effects of Time-0 leucocyte count and fractional inspired oxygen concentration respectively. Results: PO2 exhibited the most pronounced changes over time at ambient temperature: The mean (SD) relative differences at 10, 30 and 60 minutes were -4.72 (8.82), -13.66 (10.25), and -25.12 (15.55)% respectively; and mean (SD) absolute differences -0.88 (1.49), -2.37 (1.89) and -4.32 (3.06) kPa. For pH, at 60 minutes, the mean (SD) relative and absolute differences were -0.27 (0.45)% and -0.02 (0.03) respectively; for PCO2, 6.16 (7.80)% and 0.25 (0.35) kPa. The median differences for the on-ice 60-minute sample for pH and PCO2 were 0.019 and -0.12 (both P < 0.001), and for PO2 0.100 (P: 0.216). The model estimated that average PO2 decreased by 5% per 10 minute delay in processing (95% CI for effect: 0.94 to 0.96; P < 0.001) at the average leucocyte count, with more rapid declines at higher counts, though with substantial inter-patient variation. Conclusion: Delayed blood gas analysis in samples stored at ambient temperature results in a statistically and clinically significant progressive decrease in arterial PO2, which may alter clinical decision-making in septic patients.

Measurement of Oxygen Consumption Variations in Critically Ill Burns Patients: Are the Fick Method and Indirect Calorimetry Interchangeable?

OBJECTIVES

To evaluate the interchangeability of oxygen consumption variations measured with the Fick equation (ΔVO2Fick) and indirect calorimetry (ΔVO2Haldane) in critically ill burns patients.

METHODS

Prospective observational single-center study conducted in a university hospital. Twenty-two consecutive burns patients with circulatory insufficiency and hyperlactatemia (>2 mmol/L) who required a fluid challenge (FC) were included. All patients had cardiac output monitoring (transpulmonary thermodilution technique) and were ventilated and sedated. Simultaneous measurements of VO2Fick and VO2Haldane were performed before and immediately after the FC, at rest, and in hemodynamic conditions stabilized for at least 1 h. VO2Fick and VO2Haldane were measured, respectively, with the standard formulae (using arterial and central venous saturation measured with a blood gas analyzer) and with a metabolic monitor.

RESULTS

Forty-four paired measurements of VO2 were obtained. At each timepoint, the median (interquartile range, 25-75) VO2Haldane values were significantly higher than the median VO2Fick values (126 (103-192) vs. 90 (66-149) mL O2/min/m (P = 0.004) before FC and 129 (105-189) vs. 80 (54-119) mL O2/min/m (P = 0.001) after FC). Correlation between the ΔVO2Fick and the ΔVO2Haldane (%) measurements was poor, with an r = 0.06, (P = 0.77). The mean bias was 8.6% [limits of agreement (LOA): -75.7%, 92.9%].

CONCLUSIONS

Analysis of agreement showed poor concordance for the ΔVO2Haldane and the ΔVO2Fick (%) with a low mean bias but large and clinically unacceptable LOA. ΔVO2Haldane and ΔVO2Fick (%) are not interchangeable in these conditions.

Pulmonary gas exchange and acid-base balance during exercise

As the first step in the oxygen-transport chain, the lung has a critical task: optimizing the exchange of respiratory gases to maintain delivery of oxygen and the elimination of carbon dioxide. In healthy subjects, gas exchange, as evaluated by the alveolar-to-arterial PO2 difference (A-aDO2), worsens with incremental exercise, and typically reaches an A-aDO2 of approximately 25 mmHg at peak exercise. While there is great individual variability, A-aDO2 is generally largest at peak exercise in subjects with the highest peak oxygen consumption. Inert gas data has shown that the increase in A-aDO2 is explained by decreased ventilation-perfusion matching, and the development of a diffusion limitation for oxygen. Gas exchange data does not indicate the presence of right-to-left intrapulmonary shunt developing with exercise, despite recent data suggesting that large-diameter arteriovenous shunt vessels may be recruited with exercise. At the same time, multisystem mechanisms regulate systemic acid-base balance in integrative processes that involve gas exchange between tissues and the environment and simultaneous net changes in the concentrations of strong and weak ions within, and transfer between, extracellular and intracellular fluids. The physicochemical approach to acid-base balance is used to understand the contributions from independent acid-base variables to measured acid-base disturbances within contracting skeletal muscle, erythrocytes and noncontracting tissues. In muscle, the magnitude of the disturbance is proportional to the concentrations of dissociated weak acids, the rate at which acid equivalents (strong acid) accumulate and the rate at which strong base cations are added to or removed from muscle.

Predictors of increased PaCO2 during immersed prone exercise at 4.7 ATA

During diving, arterial Pco(2) (Pa(CO(2))) levels can increase and contribute to psychomotor impairment and unconsciousness. This study was designed to investigate the effects of the hypercapnic ventilatory response (HCVR), exercise, inspired Po(2), and externally applied transrespiratory pressure (P(tr)) on Pa(CO(2)) during immersed prone exercise in subjects breathing oxygen-nitrogen mixes at 4.7 ATA. Twenty-five subjects were studied at rest and during 6 min of exercise while dry and submersed at 1 ATA and during exercise submersed at 4.7 ATA. At 4.7 ATA, subsets of the 25 subjects (9-10 for each condition) exercised as P(tr) was varied between +10, 0, and -10 cmH(2)O; breathing gas Po(2) was 0.7, 1.0, and 1.3 ATA; and inspiratory and expiratory breathing resistances were varied using 14.9-, 11.6-, and 10.2-mm-diameter-aperture disks. During exercise, Pa(CO(2)) (Torr) increased from 31.5 +/- 4.1 (mean +/- SD for all subjects) dry to 34.2 +/- 4.8 (P = 0.02) submersed, to 46.1 +/- 5.9 (P < 0.001) at 4.7 ATA during air breathing and to 49.9 +/- 5.4 (P < 0.001 vs. 1 ATA) during breathing with high external resistance. There was no significant effect of inspired Po(2) or P(tr) on Pa(CO(2)) or minute ventilation (Ve). Ve (l/min) decreased from 89.2 +/- 22.9 dry to 76.3 +/- 20.5 (P = 0.02) submersed, to 61.6 +/- 13.9 (P < 0.001) at 4.7 ATA during air breathing and to 49.2 +/- 7.3 (P < 0.001) during breathing with resistance. We conclude that the major contributors to increased Pa(CO(2)) during exercise at 4.7 ATA are increased depth and external respiratory resistance. HCVR and maximal O(2) consumption were also weakly predictive. The effects of P(tr), inspired Po(2), and O(2) consumption during short-term exercise were not significant.

Validation of an Original Mathematical Model of CO2 Elimination and Dead Space Ventilation

We present an original, mathematical model of ventilation and gas-exchange. Our aim was to validate it using data from previous clinical investigations, allowing our use of it in future investigations. The first previous investigation used a low-dead space, double-lumen, tracheal tube (DLT). We matched the model's PaCO(2) and airway pressures (P(AW)) to the patient mean during use of the DLT and a single-lumen tube (SLT). The model's resulting PaCO(2), PECO(2) and P(AW) were compared with the patients' as tidal volume (VT) changed with constant minute volume. The second investigation examined dead space during anesthesia. The model's VT, respiratory rate, CO(2) production, temperature, and alveolar and anatomical dead spaces were matched to each mechanically ventilated subject. Bias and precision in predictions of PaCO(2) and PECO(2) were calculated. The model's bias in prediction of dead space reduction by the DLT was 6.9%. Bias in prediction of P(AW) was 0.1% (peak) and -5.13% (mean), of PaCO(2) was 1.2% (DLT) and 1.5% (SLT) and of PECO(2) was 1.7% (DLT) and 1.3% (SLT). Prediction of PaCO(2) and PECO(2) in the second investigation (as 95% confidence interval of bias): PaCO(2) -2.6% to 0.8% and PECO(2) -4.9% to 1.2%. This validation allows future application of our model in appropriate theoretical investigations.

IMPLICATIONS

We present an original, mathematical model of ventilation and gas exchange. We validate it against previously published clinical data to allow its use in future theoretical investigations where data may be unavailable from patients.

The accuracy of calculated base excess in blood

Most equations used for calculation of the base excess (BE, mmol/l) in human blood are based on the fundamental equation derived by Siggaard-Andersen and called the Van Slyke equation: BE = Z x [[cHCO3-(P) - C7.4 HCO3-(P)] + beta x (pH -7.4)]. In simple approximation, where Z is a constant which depends only on total hemoglobin concentration (cHb, g/dl) in blood, three equations were tested: the ones proposed by Siggaard-Andersen (SA), the National Committee for Clinical Laboratory Standards (NCCLS) or Zander (ZA). They differ only slightly in the solubility factor for carbon dioxide (alphaCO2, mmol/l x mmHg) and in the apparent pK(pK'), but more significantly in the plasma bicarbonate concentration at reference pH (C7.4HCO3-(P), mmol/l) and in beta, the slope of the CO2-buffer line (mmol/l) for whole blood. Furthermore, the approximation was improved either by variation in Z (r(c)), or in the apparent pK (pK) with changing pH. Thus, from a total of seven equations and from a reference set for pH, pCO2 and BE taken from the literature (n=148), the base excess was calculated. Over the whole range of base excess (-30 to +30 mmol/l) and PCO2 (12 to 96 mmHg), mean accuracy (deltaBE, mmol/l) was greatest in the simple equation according to Zander and decreased in the following order: +/-0.86 (ZA); +/-0.94 (ZA, r(c)); +/-0.96 (SA, r(c)); +/-1.03 (NCCLS, r(c)); +/-1.40 (NCCLS); +/-1.48 (SA); and +/-1.50 (pK'). For all clinical purposes, the Van Slyke equation according to Zander is the best choice and can be recommended in the following form: BE= (1 -0.0143 x cHb) x [[0.0304 x PCO2 x 10pH-6.1-24.26] + (9.5+1.63 x cHb) x (pH -7.4)] - 0.2 x cHb x (1-sO2), where the last term is a correction for oxygen saturation (sO2). Hence, base excess can be obtained with high accuracy (<1 mmol/l) from the measured quantities of pH, pCO2, cHb, and SO2 in any sample, irrespective of whether venous or arterial blood is used.

Individualised pulse oximetry limits in neonatal intensive care

AIM

To determine whether individualised limits for arterial oxyhaemaglobin saturation by pulse oximetry (SpO(2)) are more effective for detecting hypoxia and hyperoxia in sick newborn infants than setting fixed limits.

METHODS

Six hundred and ninety two simultaneous measurements of SpO(2) and partial pressure of oxygen in arterial blood (PaO(2)) were made in 95 infants. The sensitivity and specificity for predicting hypoxia and hyperoxia using various fixed SpO(2) limits and also individualised SpO(2) limits, calculated using a standard equation, were determined and compared.

RESULTS

None of the fixed limits for SpO(2) was both sensitive and specific for predicting hypoxia and/or hyperoxia. There was no difference between these and individualised limits.

CONCLUSION

Individualised SpO(2) limits are no more effective than fixed SpO(2) limits for predicting hypoxia and/or hyperoxia in sick newborn infants. SpO(2) monitoring is not an ideal method for assessing PaO(2).

A comparison between the Fick method and indirect calorimetry for determining oxygen consumption in patients with fulminant hepatic failure

OBJECTIVE

To compare the Fick method of determining oxygen consumption (VO2) with a gas exchange method in a group of patients in whom the cardiac output and mixed venous oxygen saturation values were consistently high.

DESIGN

A prospective, observational study.

SETTING

A ten-bed intensive therapy unit at a university teaching hospital.

PATIENTS

Seventeen patients suffering from fulminant hepatic failure who required ventilatory support and invasive hemodynamic monitoring. All patients were sedated and paralyzed throughout the study period.

INTERVENTIONS

None.

MEASUREMENTS AND MAIN RESULTS

VO2 was determined simultaneously by indirect calorimetry and by the Fick method five or six times in each patient over a 5-hr period after resuscitation with fluids and, if clinically indicated, norepinephrine infusion. The agreement between the methods was poor (limits of agreement +19 to -101 mL/min/m2) and the Fick method consistently underestimated gas exchange measurements (mean bias 41 mL/min/m2). The bias varied widely, both between and within individual patients. The reproducibility of the Fick-derived VO2 was worse than the indirect calorimetry measurements, indicating that the dispersion of data attributable to measurement error was greater with the Fick method.

CONCLUSIONS

Under clinical conditions, the agreement between Fick calculations and indirect calorimetry measurements of VO2 in hyperdynamic patients with fulminant hepatic failure was extremely poor. The reproducibility of Fick calculations was less than the reproducibility derived by gas exchange measurements because of the large measurement errors that may occur with the Fick method when the cardiac output is large and the arterial-venous oxygen content difference is small. Fick calculations systematically underestimate gas exchange measurements. The Fick method is inaccurate and unreliable when an estimation of VO2 is required in patients with this hemodynamic pattern.

Respiratory variables during thoracotomy for PDA ligation

Physiological deadspace fraction of tidal volume (VD/VT), arterial to end-tidal carbon dioxide tension differences [P(a-E')CO2], arterial oxygen tension (PaO2) and respiratory system compliance were studied in twenty patients with patent ductus ateriosus scheduled for multiple ligation and transfixation through posterolateral thoracotomy under general anaesthesia with controlled ventilation. The study period was divided into six stages: stage 1--supine posture under anaesthesia, stage 2--lateral posture before start of surgery, stage 3--after chest opening before lung manipulation, stage 4--after ductus ligation and lung re-expansion before chest closure, stage 5--lateral posture, chest closed, stage 6--supine stage before reversal. There was a significant (P < 0.01) increase of VD/VT on attaining the lateral posture. The fraction decreased significantly (P < 0.05) on opening of the chest (stage 3) and subsequently increased at stage 4. There was no significant change in mean P(a-E')CO2 at various stages of thoracotomy. PaO2 fell significantly on opening of the chest and was lowest before chest closure (stage 4). PaO2 increased following chest closure but was still significantly lower than the pre-surgical supine stage. Respiratory system compliance was lowest at stage 4. Changes in deadspace fraction VD/VT do not correspond favourably to arterial oxygen tensions during posterolateral thoractomy.

Ventilatory response to severe acute hypoxia in guinea-pigs and rats with high hemoglobin-oxygen affinity induced by cyanate

Baseline ventilation, hemoglobin concentration (Hb) and P50 were significantly lower in guinea-pigs than in rats. Chronic sodium cyanate (NaOCN) administration did not significantly increase hemoglobin concentration in either guinea-pigs or rats. It decreased the P50 significantly less in guinea-pigs than in rats. The high Hb-O2 affinity experimentally induced did not modify the hypoxic ventilatory response (HVR) of guinea-pigs and rats. At the same level of acute hypoxia, HVR was significantly lower in NaOCN guinea-pigs than in NaOCN rats. Guinea-pigs, genotypically adapted animals to high altitude, displayed relatively minor ventilatory and Hb-O2 affinity changes to NaOCN, and a relatively minor HVR to acute hypoxia. They probably use tissue and biochemical adaptive mechanisms, in addition to their limited extracellular responses to successfully tolerate ambient hypoxia.

Relationship between whole blood base excess and CO2 content in vivo

Empirical relationships are demonstrated for whole blood base excess (BE) and CO2 content (CCO2), both calculated from in vivo measurements of PCO2, pH, hemoglobin concentration and O2 saturation. Comparisons are provided by measurements from three separate studies: (1) supine exercise (arterial and mixed venous samples); (2) chronic obstructive disease patients (arterial samples) breathing air and 100% O2; and (3) maximal seated exercise on a bicycle ergometer with and without added inspired CO2 (arterial samples before, during and after). Two standardized values of CCO2 (vol.%) are derived which closely relate to BE (mmol/l). The CCO2 at a PCO2 of 40 mmHG [CCO2(40)] for all samples (n = 220) demonstrated a curvilinear relationship: CCO2 (40) = 45.37 + 1.48(BE) + 0.0156(BE)2, r = + 0.996, SEE = 0.88 vol.%. The CCO2 at a pH of 7.4 [CCO2(7.4)] gave a linear relationship: CCO2(7.4) = 45.09 + 2.58(BE), r = + 0.998, SEE = 1.19 vol.%. Empirical computations for the Haldane factor from studies 1 and 2 gave values of 0.285 in terms of CCO2 (vol.%/vol.%) and 0.266 for BE (mmol/l/mmol reduced Hb). The BE values can serve as useful estimates of lactate concentrations during exercise and the excellent relationships between standardized CCO2 and BE demonstrate their equivalency and either can be utilized, depending on whether quantification of the CO2 dissociation curve or acid-base status is desired.

End-tidal CO2 monitoring in mitral stenosis patients undergoing closed mitral commissurotomy

Arterial to end-tidal carbon dioxide difference (P(a-E')CO2) was recorded in 20 mitral stenosis patients (group A) for closed mitral commissurotomy and 20 healthy individuals (group B) for elective limb surgery. Mitral stenosis patients showed a greater difference than group B patients. Repeated measurements of P(a-E')CO2 in mitral stenosis patients at various stages of closed mitral commissurotomy not only showed a mean increase from before thoracotomy but there was also no correlation between P(a-E')CO2 before thoracotomy with that after thoracotomy, after commissurotomy or after chest closure. This indicated that end-tidal CO2 monitoring was unsuitable to measure adequacy of ventilation during closed mitral commissurotomy.

Does arterial PCO2 interfere with hypoxia in muscular metabolism in man?

To answer the question whether PCO2 affects the muscular metabolism, PO2, PCO2, pH, lactic acid concentration and hemoglobin were measured in the efferent muscular venous blood from common flexor digitorum, during forearm rhythmic exercise corresponding to VO2max. Exercise was carried out either in hypocapnic hypoxia i.e. in permanent high altitude residents and translocated lowlanders, or in hypercapnic hypoxia i.e. in chronic obstructive lung disease (COLD) patients. The results show that, during exercise: i) PO2 in muscular venous blood remains around 20 Torr in normoxia and hypocapnic hypoxia and even higher (25 torr) in COLD patients, despite low arterial PaO2, and ii) arterial and/or local PCO2 play a role in the control of the muscular blood flow. But we cannot conclude that a change in PaCO2 affects muscular metabolism itself, because lactic acid in the muscular venous blood, that we used to check this effect, is likely dependent on mechanisms other than anaerobic glycolysis, such as a change in lactic acid efflux from the myocytes. The increase in muscular venous PCO2 may enhance the myocyte permeability to lactic acid during exercise.

The hypoxic ventilatory response of rats with increased blood oxygen affinity

Experimental work has established an interspecific relationship between the threshold for the hypoxic ventilatory response and the 'knee' of the Hb-O2 dissociation curve. However, whether this relationship exists intraspecifically remains unclear. To examine the problem further rats were treated with sodium cyanate (NaOCN) to lower P50 and their hypoxic ventilatory response was measured. NaOCN treated rats had a lower PaO2 and higher Hct than control rats. There was no difference between the control and lowered P50 condition in the ventilatory response to hypoxia when % delta VI was plotted against PaO2. The results are consistent with PaO2 sensing chemoreceptors.

Hypoproteinemic alkalosis

Hypoproteinemia by itself causes a nonrespiratory ("metabolic") alkalosis. On the average, a decrease in plasma albumin concentration of 1 g/dl produces an increase in "standard" bicarbonate of 3.4 mM/liter, and an apparent base excess of +3.7 meq/liter; it also reduces the value of the normal anion gap by about 3 meq/liter. Concentration of plasma protein should be measured as part of the analysis of acid-base status. Interpretation of acid-base data requires special consideration in "primary hypoproteinemic alkalosis."

Heat-induced changes in PO2 and PCO2 of blood

In vitro differences in blood PO2 and PCO2 at 37 degrees C and 42-44 degrees C were measured in 100 samples from 10 patients, aged 54-79 years. PO2 was measured amperometrically with Clark electrodes, PCO2 was measured with Severinghaus electrodes. PO2 increased with heating and the relative PO2 increment declined with increasing PO2. At 10 kPa the relative increment was approximately 7% per degrees C; at 40 kPa it was less than 2% per degrees C. No correlation between the temperature coefficient and temperature, haemoglobin concentration or pH could be demonstrated. The observed changes were in agreement with the Severinghaus correction formula r = 0.99 (P less than 0.0001). PCO2 increased by 4.6% per degrees C (s.d. = 0.8%) with heating. The PCO2 temperature coefficient did not vary significantly with the PCO2, pH or temperature (P greater than 0.3). No significant difference was seen between the measured values and values calculated according to Severinghaus and Nunn et al. (4.4% per degrees C) or Siggaard-Andersen (4.8% per degrees C), r = 0.95 (P less than 0.0001). It is concluded that the recommended temperature correction formulas for PO2 and PCO2 changes in the blood can be applied even in the temperature level 37-44 degrees C, and thus for analysis of PO2 and PCO2 on the heated skin surface.

Respiration of chemodenervated goats in acute metabolic acidosis

In awake goats before and after ablation of carotid bodies (CBx) we studied the effect of acute metabolic acidosis (AMA) produced by intravenous infusion of HCl on composition of arterial blood and CSF, and on ventilatory responsiveness to hyperoxic CO2 rebreathing AMA caused decrease in PaCO2 (breathing air at rest) indicating that alveolar ventilation was increased relative to CO2 production; position of CO2 response curves was shifted toward lower values of PCO2. These changes were similar before and after CBx, though the levels of PCO2 in arterial blood during air breathing at rest, and in expired gas at a given level of ventilation during CO2 rebreathing, were higher after CBx. We conclude that a respiratory adaptation to AMA does occur in goats deprived of peripheral chemoreceptors, and is probably mediated by the central chemoreceptors.

Bedside computer programs in the intensive care unit

An inexpensive home microcomputer is used in an intensive care unit to facilitate patient management. The computer's rapid and accurate calculations are used to regulate inspired oxygen, infuse drugs and plan parenteral nutrition. Patient physiological data are processed to derive cardiovascular, respiratory and renal variables which help to monitor and evaluate patient progress.