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Calculation of O2 saturation and of the oxyhemoglobin dissociation curve for different species, using a new programmable pocket calculator

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Summary

The degree of O2 saturation and different data of acid-base status are determined frompO2, pH, andpCO2 values by a programmable pocket calculator. Since the operating program should be usable for different species and also in the range of very low O2 saturations, obviously the usual Hill equation for calculating the oxygen dissociation curve of hemoglobin is not applicable; the same is true in some cases for the Adair equation. Thus a 3-fold subdivision of the dissociation curve was undertaken and programmed. Suitable programs for several species could be established despite the limited number of program steps in the new calculator, giving systematic deviations in calculated O2 saturations of ≤ ± 0.9 saturation percent over the full range of dissociation curves. A reverse procedure for calculation ofpO2 from saturation is added. In situations wherepCO2 or base excess are not known or only estimated, limits of the arising error are stated. In the acid-base-program 7 parameters are evaluated partially using empirical formulae derived from nomograms. The programmable pocket calculator offers advantages of small size, economy, and independence of line voltage compared to much more spacious units and a precision equal or superior to nomograms.

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References

  • Aberman, A., Cavanilles, J. M., Trotter, J., Erbeck, D., Weil, M. H., Shubin, H.: An equation for the oxygen hemoglobin dissociation curve. J. appl. Physiol.35, 570–571 (1973)

    Google Scholar 

  • Adair, G. S.: The hemoglobin system. VI. The oxygen dissociation curve of hemoglobin. J. biol. Chem.63, 529–545 (1925)

    Google Scholar 

  • Bartels, H., Harms, H.: Sauerstoffdissoziationskurven des Blutes von Säugetieren. Pflügers Arch. ges. Physiol.268, 334–365 (1959)

    Google Scholar 

  • Bauman, P., Hilpert, P., Bartels, H.: Sauerstoffdissoziationskurve und Bohr-Effekt des Ziegen-und Pferdeblutes. Pflügers Arch. ges. Physiol.277, 120–124 (1963)

    Google Scholar 

  • Benesch, R., Benesch, R. E.: The effect of organic phosphates from the human erythrocyte on the allosteric properties of hemoglobin. Biochem. biophys. Res. Commun.26, 162–167 (1967)

    Google Scholar 

  • Chanutin, A., Curnish, R. R.: Effect of organic and inorganic phosphates on the oxygen equilibrium of human erythrocytes. Arch. Biochem. Biophys.121, 96–102 (1967)

    Google Scholar 

  • Garby, L., Robert, M., Zaar, B.: Proton and carbamino linked oxygen affinity of normal human blood. Acta Physiol. scand.84, 482–492 (1972)

    Google Scholar 

  • Glauser, S. C., Forster, R. S.: pH dependence of the oxyhemoglobin curve at high oxygen tension. J. appl. Physiol.22, 113–116 (1967)

    Google Scholar 

  • Gleichmann, U., Lübbers, D. W.: Die Messung des Sauerstoffdruckes in Gasen und Flüssigkeiten mit der Pt-Elektrode unter besonderer Berücksichtigung der Messung im Blut. Pflügers Arch. ges. Physiol.271, 431–455 (1960)

    Google Scholar 

  • Hardt, J.: Computer program for calculating blood acid-base parameters on an olivetti “programma 101” desk computer. Clin. Chem.18, 658–661 (1972)

    Google Scholar 

  • Heise, M., Schmidt, K.: Rechenprogramm zur Beschreibung der Sauerstoffdissoziationskurve des menschlichen Hämoglobins. Respiration30, 89–94 (1973)

    Google Scholar 

  • Hill, A. V.: The possible effects of the aggregation of the molecules of haemoglobin on its dissociation curves. J. Physiol. (Lond.)40, IV-VII (1910)

    Google Scholar 

  • Hilpert, P., Fleischmann, R. G., Kempe, D., Bartels, H.: The Bohr effect related to blood and erythrocyte pH. Amer. J. Physiol.205, 337–340 (1963)

    Google Scholar 

  • Hutten, H.: Computer analysis of oxyhemoglobin dissociation curves. In: Oxygen transport in blood and tissue. Eds. D. W. Lübbers et al., pp. 48–55. Stuttgart: Thieme 1968

    Google Scholar 

  • Jalowaysky, A., Lautenbach, R., Smith, B. E., Modell, J. H.: A computer method for determination of acid-base and oxygenation variables in adult and infant blood samples. J. Lab. clin. Med.71, 328–332 (1968)

    Google Scholar 

  • Karmann, U., Arczynska, W., Held, D. R.: A contribution to the study of wholeblood Bohr effect in the alkaline range. Respir. Physiol.13, 261–266 (1971)

    Google Scholar 

  • Kelman, G. R.: Digital computer subroutine for the conversion of oxygen tension into saturation. J. appl. Physiol.21, 1375–1376 (1966)

    Google Scholar 

  • Kernohan, J. C., Forster, R. E.: pH dependence of oxyhemoglobin dissociation at high oxygen tension: a revaluation. J. appl. Physiol.23, 802–803 (1967)

    Google Scholar 

  • Kernohan, J. C., Roughton, F. J. W.: The precise determination of the bottom of the oxyhemoglobin dissociation curve of human blood. In: Oxygen affinity of hemoglobin and red cell acid-base status. Ed. by M. Roth and P. Astrup, pp. 54–64. Copenhagen: Munksgaard 1972

    Google Scholar 

  • Kirschbaum, T. H.: Variability of magnitude of the Bohr effect in human fetal blood. J. appl. Physiol.18, 729–733 (1963)

    Google Scholar 

  • Lübbers, D. W., Windisch, E.: Die Messung hoher Sauerstoffrucke in kleinen Gas-oder Flüssigkeitsmengen mit der Pt-Elektrode. Pflügers Arch. ges. Physiol.276, 429–434 (1962)

    Google Scholar 

  • Lutz, J., Kababgi, M., Bauereisen, E.: Die Reaktion von Leber- und Intestinalstrombahn auf kurzfristige Ischämien (Sauerstoffschuld und pH-Verschiebung). Verh. dtsch. Ges. Kreislauf-Forsch.40, 184–187 (1974)

    Google Scholar 

  • Maas, A. H. J., Kreuger, J. A., Hoelen, A. J., Visser, B. F.: A computer program for calculating the acid-base parameters in samples of blood using a mini-computer. Pflügers Arch.334, 264–275 (1972)

    Google Scholar 

  • Mengden, H. J., Schultehinrichs, D., Thews, G.: Dependence of plasma pH on oxygen saturation. Respir. Physiol.6, 151–159 (1969)

    Google Scholar 

  • Naeraa, N., Strange Petersen, E., Boye, E.: The influenced simultaneous, independent changes in pH and carbon dioxide tension on the in vitro oxygen tensionsaturation relationship of human blood. Scand. J. clin. Lab. Invest.15, 141–151 (1963)

    Google Scholar 

  • Roughton, F. J. W., Severinghaus, J. W.: Accurate determination of O2 dissociation curve of human blood above 98.7% saturation with data on O2-solubility in unmodified human blood from 0° to 37°C. J. appl. Physiol.35, 361–369 (1973)

    Google Scholar 

  • Severinghaus, J. W.: Blood gas calculator. J. appl. Physiol.21, 1108–1116 (1966)

    Google Scholar 

  • Siggaard-Andersen, O.: The acid-base status of the blood. Scand. J. clin. Lab. Invest.15 Suppl. 70, 1–134 (1963)

    Google Scholar 

  • Siggaard-Andersen, O., Salling, N.: Oxygen-linked hydrogen ion binding of human hemoglobin. Effects of carbon dioxide and 2,3-diphosphoglycerate. II. Studies on whole blood. Scand. Lab. Invest.27, 361–366 (1971)

    Google Scholar 

  • Thews, G.: Nomogramme zum Säure-Basen-Status des Blutes und zum Atemgastransport. Berlin-Heidelberg-New York: Springer 1971

    Google Scholar 

  • Thomas, L. J.: Algorithms for selected blood acid-base and blood gas calculations. J. appl. Physiol.33, 154–158 (1972)

    Google Scholar 

  • Turek, Z., Krezer, F., Hoofd, L. J. C.: Advantage or disadvantage of a decrease of blood oxygen affinity for tissue oxygen supply at hypoxia. A theoretical study comparing man and rat. Pflügers Arch.342, 185–197 (1973)

    Google Scholar 

  • Turek, Z., Ringnalda, B. E. M., Hoofd, L. J. C., Frans, A., Kreuzer, F.: Cardiac output, arterial and mixed-venous O2 saturation, and blood O2 dissociation curve in growing rats adapted to a simulated altitude of 3500 m. Pflügers Arch.335, 10–18 (1972)

    Google Scholar 

  • Ulrich, S., Hilpert, P., Bartels, H.: Über die Atmungsfunktion des Blutes von Spitzmäusen, weißen Mäusen und syrischen Goldhamstern. Pflügers Arch. ges. Physiol.277, 150–165 (1963)

    Google Scholar 

  • Yoder, R. D., Seidenfeld, A., Lopez, W. M., Suwa, K.: Measurement of oxyhemoglobin dissociation curves with computational data reduction. Compt. Biomed. Res.6, 14–26 (1973)

    Google Scholar 

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Supported by a grant from the Deutsche Forschungsgemeinschaft (Lu 163/3).

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Lutz, J., Schulze, H.G. & Michael, U.F. Calculation of O2 saturation and of the oxyhemoglobin dissociation curve for different species, using a new programmable pocket calculator. Pflugers Arch. 359, 285–295 (1975). https://doi.org/10.1007/BF00581440

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