Oxyhemoglobin dissociation curve calculated using a simple Hill equation and Kelman's equation which is a modified Adair equation to take into account temperature, CO2 and pH.
The simple Hill equation can be used for estimating HbO2 saturation while the more detailed Kelman equation is for the conversion of oxygen tension to saturation at various temperatures, carbon dioxide tensions, and hydrogen ion concentrations. It is based on a mathematical model of the dissociation curve, similar to that proposed by Adair, applicable to a temperature of 37 C and normal acid-base state, and corrections which make this model applicable to other temperatures and acid-base states. Compare and contrast to other HbO2 dissociation calculations such as Severinghaus (#0027), Adair (#0238), Buerk (#0278), and Dash (#0032).
The equations for this model may be viewed by running the JSim model applet and clicking on the Source tab at the bottom left of JSim's Run Time graphical user interface. The equations are written in JSim's Mathematical Modeling Language (MML). See the Introduction to MML and the MML Reference Manual. Additional documentation for MML can be found by using the search option at the Physiome home page.
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Adair GS. The hemoglobin system. VI. The oxygen dissociation curve of hemoglobin. J Biol Chem 63: 529-545, 1925. Buerk DG, Bridges EW, A simpified algorithm for computing the variation in oxyhemoglobin saturation with pH, PCO2, T and DPG, Chem Eng Commun, 1985, Vol 47, 113-124 Kelman GR, Digital computer subroutine for the conversion of oxygen tension into saturation. Journal of Applied Physiology, July 1966 21(4), 1375-1376 Keener J and Sneyd J. Mathematical Physiology. New York, NY: Springer-Verlag, 1998, 766 pp. Hill R. Oxygen dissociation curves of muscle hemoglobin. Proc Roy Soc Lond B 120: 472-480, 1936. Roughton FJW, Deland EC, Kernohan JC, and Severinghaus JW. Some recent studies of the oxyhemoglobin dissociation curve of human blood under physiological conditions and the fitting of the Adair equation to the standard curve. In: Oxygen Affinity of Hemoglobin and Red Cell Acid Base Status. Proceedings of the Alfred Benzon Symposium IV Held at the Premises of the Royal Danish Academy of Sciences and Letters, Copenhagen 17-22 May, 1971, edited by Rorth M and Astrup P. Copenhagen: Munksgaard, 1972, p. 73-81. Severinghaus, JW. Simple, accurate equations for human blood 02 dissociation computations. J. Appl. Physiol.:Respirat. Environ. Exercise Physiol. 46(3): 599-602, 1979. Winslow RM, Swenberg M-L, Berger RL, Shrager RI, Luzzana M, Samaja M,and Rossi-Bernardi L. Oxygen equilibrium curve of normal human blood and its evaluation by Adair's equation. J Biol Chem 252: 2331-2337, 1977.
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