Skip to main content
Log in

Boundary layer resistance of steady-state oxygen diffusion facilitated by a four-step chemical reaction with hemoglobin in solution

  • Published:
Pflügers Archiv Aims and scope Submit manuscript

Summary

The steady-state diffusion of oxygen in layers of hemoglobin solutions takes place under conditions of chemical equilibrium everywhere except in two boundary layers where deviations occur. The transport resistance of a boundary layer is defined in this paper. It is independent of the solution in the region of equilibrium and therefore forms a suitable basis to compare facilitated transport with different reaction schemes. Results are presented for a four-step reaction scheme between oxygen and hemoglobin, and compared with those of a single-step reaction for various reaction rates. The sensitivity of the results to changes in the reaction rates of the four-step model is also studied. With a knowledge of the boundary layer resistance the results of equilibrium calculations can be corrected in a simple way, which allows direct evaluation of experimental results.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  • Cole, J. D.: Perturbation methods in applied mathematics. Waltham, Mass.: Blaisdell 1968

    Google Scholar 

  • Friedlander, S. K., Keller, K. H.: Mass transfer in reacting systems near equilibrium. Chem. Engng. Sci.20, 121–129 (1965)

    Google Scholar 

  • Gibson, Q. H.: The reaction of oxygen with hemoglobin and the kinetic basis of the effect of salt on binding of oxygen. J. biol. Chem.245, 3285–3288 (1970)

    Google Scholar 

  • Hemmingsen, E., Scholander, P. F.: Specific transport of oxygen through hemoglobin solutions. Science132, 1379–1381 (1960)

    Google Scholar 

  • Keller, K. H., Friedlander, S. K.: The steady-state transport of oxygen through hemoglobin solutions. J. gen. Physiol.49, 663–679 (1966)

    Google Scholar 

  • Kreuzer, F.: Facilitated diffusion of oxygen and its possible significance, a review. Respir. Physiol.9, 1–30 (1970)

    Google Scholar 

  • Kreuzer, F., Hoofd, L. J. C.: Facilitated diffusion of oxygen in the presence of hemoglobin. Resp. Physiol.8, 280–320 (1970)

    Google Scholar 

  • Kreuzer, F., Hoofd, L. J. C.: Factors influencing facilitated diffusion of oxygen in the presence of hemoglobin and myoglobin. Resp. Physiol.15, 104 (1972)

    Google Scholar 

  • Kutchai, H., Jacquez, J. A., Mather, F. J.: Nonequilibrium facilitated oxygen transport in hemoglobin solution. Biophys. J.10, 38–54 (1970)

    Google Scholar 

  • Meldon, J. H., Smith, K. A., Colton, C. K.: Analysis of 2,3 DPG mediated hemoglobin-facilitated oxygen transport in terms of the Adair reaction mechanism. In: Oxygen transport to tissue (H. I. Bicher and D. F. Bruley, eds.), pp. 199–205. New York: Plenum Press 1973

    Google Scholar 

  • Olander, D. R.: Simultaneous mass transfer and equilibrium chemical reaction. AIChE Journal6, 233–239 (1960)

    Google Scholar 

  • Scholander, P. F.: Oxygen transport through hemoglobin solutions. Science131, 585–590 (1960)

    Google Scholar 

  • Schultz, J. S., Goddard, J. D., Suchdeo, S. R.: Facilitated transport via carrier-mediated diffusion in membranes. AIChE Journal20, 417–446, 625–645 (1974)

    Google Scholar 

  • Smith, K. A., Meldon, J. H., Colton, C. K.: An analysis of carrierfacilitated transport. AIChE Journal19, 102–111 (1973)

    Google Scholar 

  • Stroeve, P., Smith, K. A., Colton, C. K.: Facilitated transport of oxygen in blood in terms of the Adair mechanism and the effect of 2,3 diphosphoglycerate. Bibl. anat. (Basel)13, 173–174 (1975)

    Google Scholar 

  • Van Dyke, M. D.: Perturbation methods in fluid mechanics. New York: Academic Press 1964

    Google Scholar 

  • Wittenberg, J. B.: Oxygen transport—a new function proposed for myoglobin. Biol. Bull.117, 402 (1959)

    Google Scholar 

  • Wittenberg, J. B.: The molecular mechanism of hemoglobin facilitated oxygen diffusion. J. biol. Chem.241, 104–114 (1966)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Gijsbers, G.H., van Ouwerkerk, H.J. Boundary layer resistance of steady-state oxygen diffusion facilitated by a four-step chemical reaction with hemoglobin in solution. Pflugers Arch. 365, 231–241 (1976). https://doi.org/10.1007/BF01067023

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01067023

Key words

Navigation