Skip to main content

The End-Points of the Oxygen Path: Transport Resistance in Red Cells and Mitochondria

  • Chapter
Oxygen Transport to Tissue VIII

Part of the book series: Advances in Experimental Medicine and Biology ((AEMB,volume 200))

Abstract

The variation of oxygen pressure from red cell to mitochondrion is, for a given oxygen flux, determined by the distribution of transport resistance over the oxygen path. The total drop in oxygen pressure may be resolved into several component drops: (1) the red cell drop, from cell center to cell surface, (2) the transcapillary drop, from red cell surface to outer capillary wall, (3) the tissue drop, from the capillary wall to an interior point in the tissue, and (4) the mitochondrial drop, from tissue to mitchondrial interior. The frequently used Krogh model, as usually formulated, deals only with the tissue drop. The other components have received somewhat less attention in the literature. The transcapillary drop, which depends on hematocrit, blood flow rate, red cell geometry, capillary geometry, and other things, is by far the most complex. Some recent progress in the theory of this drop has been made — for example, the work of Federspiel and Sarelius (1984) on the effect of red cell spacing on oxygen delivery. Nevertheless, the transcapillary drop probably will be the last component to be understood quantitatively. The red cell drop and the mitochondrial drop, on the other hand, are readily amenable to analysis, and we summarize here our recent theoretical results on these parts of the oxygen path.

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

Access this chapter

eBook
USD 16.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  • Baxley, P.T., and Hellums, J.D., 1983, A simple model for simulation of oxygen transport in the microcirculation, Ann. Biomed Eng., 11: 401–416.

    Article  PubMed  CAS  Google Scholar 

  • Clark, A. Jr., and Clark, P.A.A., 1985a, Oxygen gradients in unloading red cells, in preparation.

    Google Scholar 

  • Clark, A. Jr., and Clark, P.A.A., 1985b, Local oxygen gradients near isolated mitochondria, Biophysical J., accepted.

    Google Scholar 

  • Clark, A. Jr., Federspiel, W.J., Clark, P.A.A., and Cokelet, G.R., 1985, Oxygen delivery from red cells, Biophys. J., 47: 171–181.

    Article  PubMed  Google Scholar 

  • Clark, A. Jr., Federspiel, W.J., Clark, P.A.A., and Cokelet, G.R., 1985, Oxygen delivery from red cells, Biophys. J., 47: 171–181.

    Article  PubMed  Google Scholar 

  • Federspiel, W.J., 1983, Engineering analysis of two blood transport problems, PH.D. dissertation, University of Rochester, Rochester, NY.

    Google Scholar 

  • Federspiel, W.J., 1985, The effect of myoglobin concentration on muscle cell P02 gradients, in: “Oxygen Transport to Tissue–VI”, ed. D. Bruley, H.I. Bicher, and D. Reneau, Adv. Exper. Med. Biol., Vol. 180, Plenum Press, New York, pp. 539–543.

    Google Scholar 

  • Federspiel, W.J., and Sarelius, I.H., 1984, An examination of the contribution of red cell spacing to the uniformity of oxygen flux at the capillary wall, Microvasc. Res., 27: 273–285.

    Article  PubMed  CAS  Google Scholar 

  • Fletcher, J.E., 1980, On facilitated oxygen diffusion in muscle tissues, Biophys. J., 29: 437–457.

    Article  PubMed  CAS  Google Scholar 

  • Fletcher, J.E., 1980, On facilitated oxygen diffusion in muscle tissues, Biophys. J., 29: 437–457.

    Article  PubMed  CAS  Google Scholar 

  • Heliums, J.D., 1977, The resistance to oxygen transport in the capillaries relative to that in the surrounding tissue, Microvaso, Res., 13: 131–126.

    Article  Google Scholar 

  • Honig, C.R., Gayeski, T.E.J., Federspiel, W.J., Clark, A. Jr., and Clark, P.A.A., 1984, Muscle 02 gradients from hemoglobin to cytochrome: new concepts, new complexitites, in: “Oxygen Transport to Tissue–V”, ed. D.W. Lubbers, H. Acker, and E. Leniger-Follert, Adv. Exper. Med. Biol., Vol. 169, Plenum Press, New York, pp. 23–38.

    Google Scholar 

  • Horstman, D.H., Gleser, M., and Delehunt, J., 1976 Effects of altering 02 delivery on VO2 of isolated working muscle, Am. J. Physiol., 230:327334.

    Google Scholar 

  • Kutchai, H., 1970, Numerical study of oxygen uptake by layers of hemoglobin solution, Respir. Physiol., 10: 273–284.

    Article  PubMed  CAS  Google Scholar 

  • Mahler, M., 1978, Diffusion and consumption of oxygen in the resting frog sartorius muscle, J. Gen. Psysiol., 71:533–557.

    Article  CAS  Google Scholar 

  • Moll, W., 1969, The influence of hemoglobin diffusion on oxygen uptake and release by red cells, Respir. Physiol., 6:1–15.

    Article  Google Scholar 

  • Sheth, B.V., 1979, Oxygen transport in hemoglobin solutions. Applications in the microcirculation, M.S. dissertation, Rice University, Houston, TX.

    Google Scholar 

  • Sheth, B.V., and Hellums, J.D., 1980, Transient oxygen transport in hemoglobin layers under conditions of the microcirculation, Ann. Biomed. Eng., 8: 183–196.

    Article  PubMed  CAS  Google Scholar 

  • Wassilew, G., and David, J., 1977, Vergleichende morphometrische Untersuchungen an normalen Herz-und Zwerchfellmitochondrien des Hundes, Verband. Anatom. Ges., 71:239–241.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1986 Plenum Press, New York

About this chapter

Cite this chapter

Clark, A., Clark, P.A.A. (1986). The End-Points of the Oxygen Path: Transport Resistance in Red Cells and Mitochondria. In: Longmuir, I.S. (eds) Oxygen Transport to Tissue VIII. Advances in Experimental Medicine and Biology, vol 200. Springer, Boston, MA. https://doi.org/10.1007/978-1-4684-5188-7_6

Download citation

  • DOI: https://doi.org/10.1007/978-1-4684-5188-7_6

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4684-5190-0

  • Online ISBN: 978-1-4684-5188-7

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics