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Factors defining the rate of oxygen uptake by the red blood cell

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Abstract

Using numerical methods, the initial rates of oxygen uptake by the red blood cell have been computed. The methods accommodate both a water layer and membrane which may act as diffusive impedance to gas influx. The differential solubilities of the gas in these two layers have also been incorporated in the methods. The presence of a 0.50–0.65 μm deoxygenated water layer has been calculated to simulate the experimental results by Roughton (1959). Experimental studies of CO and NO uptake by the red cell could also be simulated. Although a membrane-only model with given parameters can also account for the observed rates of oxygenation of the red cell (Weingardenet al., submitted for publication), the additional incorporation of differential solubilities of oxygen in the different layers of the RBC yields results that indicate a three layer model to be more plausible.

Using a thin layer-red cell oxygenation system, the rates of oxygenation were determined for red cells surrounded by a 4.2 μm deoxygenated water layer. The rates were found to compare favorably to the results of the theoretical model.

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Literature

  • Carlson, E. and J. H. Comroe. 1958. “The Rate of Uptake of Carbon Monoxide and of Nitric Oxide by Normal Human Erythrocytes and Experimentally Produced Spherocytes.”J. gen. Phys.,42, 83–107.

    Article  Google Scholar 

  • Cassoly, R. and Q. H. Gibson. 1975. “Conformation, Cooperativity and Ligand Binding in Human Hemoglobin.”J. mol. Biol.,91, 301–313.

    Article  Google Scholar 

  • Coin, J. T. and J. S. Olson. 1979. “The Rate of Uptake by Human Red Cells.”J. Biochem.,254, 1178–1190.

    Google Scholar 

  • Dean, J. A. (Ed.), 1979.Lange's Handbook of Chemistry. New York: McGraw-Hill, 10, p. 4.

    Google Scholar 

  • Fischkoff S. and Vanderkooi, J. M. 1976. “Oxygen Diffusion in Biological and Artificial Membranes Determined by the Fluorochrome Pyrene.”J. gen. Physiol.,65, 663–676.

    Article  Google Scholar 

  • Forster, R. E., F. J. W. Roughton, F. Kruezer and W. A. Briscoe. 1957. “Photocolorimetric Determination of Rate of Uptake of CO and O2 by Reduced Human Red Cell Suspensions at 37°C.”J. appl. Physiol.,11, 260–268.

    Google Scholar 

  • Forster, R. E. 1964. “Rate of Gas Uptake by Red Cells,” InHandbook of Physiology, Eds. W. Fenn and H. Rohn, Ch. 32. Washington D. C.: American Physiological Society.

    Google Scholar 

  • Frech, W. E., D. Schaltenhunrichs, H. R. Vogel and, G. Thews. 1968. “Modellunter-Suchungen zum Austausch der Atemgase: 1. Die O2-Aufnahmenzeiten des Erythrocyten unter den Bedinzungen des Lungencapillarblutes.Pflügers Arch. ges. Physiol. 301, 292–301.

    Article  Google Scholar 

  • Gad-el-Hak, M., J. B. Morton and H. Kutchai. 1977. “Turbulent Flow of Red Blood Cells in Dilute Suspensions.”Biophys. J.,18, 289–300.

    Google Scholar 

  • Gibson, Q. H. and F. J. W. Roughton. 1958. “The Velocity of Combination of the First Oxygen Molecule with Sheep Hemoglobin.”J. Physiol., Lond.,140, 37–38.

    Google Scholar 

  • Kutchai, H. 1975. “Role of the Red Cell Membrane in Oxygen Uptake.”Resp. Physiol.,23, 121–132.

    Article  Google Scholar 

  • Middleman, S. 1972.Transport Phenomena in the Cardiovascular System. New York: Wiley-Interscience.

    Google Scholar 

  • Moll, W. 1966. “Diffusion Coefficient of Hemoglobin.”Resp. Physiol.,1, 357–365.

    Article  Google Scholar 

  • Power, G. C. and H. Stegal 1970. “Solubility of Gases in Human Red Blood Cell Ghosts.”J. Appl. Phys.,29, 145–149.

    Google Scholar 

  • Rice, S. A. 1980. “Hydronamic and Diffusion Considerations of Rapid-Mix Experiments with Red Blood Cells.”Biophys. J.,29, 65–78.

    Article  MathSciNet  Google Scholar 

  • Robertson, J. D. 1972. “The Structure of Biological Membranes.”Archs. intern. Med.,129, 202.

    Article  Google Scholar 

  • Roughton, F. J. W. 1959. “Diffusion and Simultaneous Chemical Reaction Velocity in Hemoglobin Solutions and Red Cell Suspension,”Prog. Biophys. Biochem.,9, 55–104.

    Google Scholar 

  • Savitsky, A. and M. J. E. Golay. 1964. “Smoothing and Differentiation of Data by Simplified Least Square Procedures.”Anal. Chem.,36, 1627–1639.

    Article  Google Scholar 

  • Weingarden M. 1980. “Oxygenation of the Red Blood Cell: A Computer Model,” Ph.D. Dissertation, Wayne State University, Ch. 3.

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Weingarden, M., Mizukami, H. & Rice, S.A. Factors defining the rate of oxygen uptake by the red blood cell. Bltn Mathcal Biology 44, 135–147 (1982). https://doi.org/10.1007/BF02459424

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  • DOI: https://doi.org/10.1007/BF02459424

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