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.
Cassoly, R. and Q. H. Gibson. 1975. “Conformation, Cooperativity and Ligand Binding in Human Hemoglobin.”J. mol. Biol.,91, 301–313.
Coin, J. T. and J. S. Olson. 1979. “The Rate of Uptake by Human Red Cells.”J. Biochem.,254, 1178–1190.
Dean, J. A. (Ed.), 1979.Lange's Handbook of Chemistry. New York: McGraw-Hill, 10, p. 4.
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.
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.
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.
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.
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.
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.
Kutchai, H. 1975. “Role of the Red Cell Membrane in Oxygen Uptake.”Resp. Physiol.,23, 121–132.
Middleman, S. 1972.Transport Phenomena in the Cardiovascular System. New York: Wiley-Interscience.
Moll, W. 1966. “Diffusion Coefficient of Hemoglobin.”Resp. Physiol.,1, 357–365.
Power, G. C. and H. Stegal 1970. “Solubility of Gases in Human Red Blood Cell Ghosts.”J. Appl. Phys.,29, 145–149.
Rice, S. A. 1980. “Hydronamic and Diffusion Considerations of Rapid-Mix Experiments with Red Blood Cells.”Biophys. J.,29, 65–78.
Robertson, J. D. 1972. “The Structure of Biological Membranes.”Archs. intern. Med.,129, 202.
Roughton, F. J. W. 1959. “Diffusion and Simultaneous Chemical Reaction Velocity in Hemoglobin Solutions and Red Cell Suspension,”Prog. Biophys. Biochem.,9, 55–104.
Savitsky, A. and M. J. E. Golay. 1964. “Smoothing and Differentiation of Data by Simplified Least Square Procedures.”Anal. Chem.,36, 1627–1639.
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