Advertisement

Modeling Oxygen Transport: Development of Methods and Current State

  • Duane F. Bruley
Part of the Advances in Experimental Medicine and Biology book series (AEMB, volume 345)

Abstract

It is a privilege and a pleasure to be a participant in a symposium in honor of Professor Gehard Thews. This is a special occasion for me because my professional career is closely tied to Professor Thews and his early work in mathematical modeling oxygen transport in the microcirculation of tissue.

Keywords

Oxygen Tension Oxygen Transport Axial Diffusion Distribute Parameter Model Gaussian Density Function 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    Krogh, August. “The Rate of Diffusion of Gases Through Animal Tissues with Some Remarks on the Coefficient of Invasion,” Jour. Physiol. 52:391–408. 1918–1919.Google Scholar
  2. 2.
    Krogh, August. “The Number and Distribution of Capillaries in Muscles with Calculations of the Oxygen Pressure Head Necessary for Supplying the Tissue,” Jour. Physiol. 52:409–415. 1918–1919.Google Scholar
  3. 3.
    Krogh, August. “The Supply of Oxygen to the Tissues and the Regulations of the Capillary Circulation,” Jour. Physiol. 52:457–474 1918–1919.Google Scholar
  4. 4.
    Krogh, August. The Anatomy and Physiology of Capillaries Yale University Press, New Havenm, Conn., led. 1922.Google Scholar
  5. 5.
    Hill, A.V. “The Diffusion of Oxygen and Lactic Acid Through Tissues,” Proc. Roy. Soc. B 104:39–96, 1928.CrossRefGoogle Scholar
  6. 6.
    Opitz, Erich and Max Schneider. “The Oxygen Supply of the Brain and the Mechanism of Deficiency Effects,” Ergebnisse der Physiologie. biologische Chemie. Google Scholar
  7. 7.
    Roughton, F.J. W. “Diffusion and Chemical Reaction Velocity as Joint Factors in Determining the Rate Uptake of Oxygen and Carbon Monoxide by the Red Corpuscles,” Proc. Roy. Soc. B 111:1–36, 1932.CrossRefGoogle Scholar
  8. 8.
    Kety, Seymour S. “Determinants of Tissue Oxygen Tension,” Ped. Proc. 16:666–670. 1957.Google Scholar
  9. 9.
    Thews, Gehard. “Oxygen Diffusion in the Brain. A Contribution to the Question of the Oxygen Supply of the Organs,” Pflugers Archiv. 271:197–226, 1960.CrossRefGoogle Scholar
  10. 10.
    McCracken, T.A., Bruley, D.F., Reneau, D.D., Bicher, H.I. and M.H. Knisely. “Systems Analysis of Transport Processes in Human Brain; O2, CO2, Glucose,” 1st Pacific Chemical Engineering Congress, Kyoto, Japan, October, 1972.Google Scholar
  11. 11.
    Reneau, D.D., D.F. Bruley, M.H. Knisely. “Digital Simulation of Transient Oxygen Transport in Capillary - Tissue Systems ”Cerebral Gray Matter“,” Amer. Inst. Chem. Eng. J. Vol. 15:916–925, 1969.CrossRefGoogle Scholar
  12. 12.
    McCracken, T.A., Bruley, D.F. and M.H. Knisely. “A Systems Analysis for the Transport of Oxygen and the Simultaneous Transport of Oxygen, Carbon Dioxide, and Glucose in the Capillaries and Tissue of the Human Brain,” Unpublished Ph.D. Dissertation, Clemson University, Clemson, South Carolina, 1971.Google Scholar
  13. 13.
    Metzger, H. “PO2 Histogram of Three Dimensional Systems with Homogeneous and Inhomogeneous Microcirculation, a Digital Computer Study,” Oxygen Transport in Tissue Workshop, Dortmund, Germany, July, 1971.Google Scholar
  14. 14.
    Grunewald, W. “Method of Comparison of Calculated and Measured Oxygen Distribution,” Oxygen Transport in Tissue Workshop. Dortmund, Germany, July, 1971.Google Scholar
  15. 15.
    Hutten, H., G. Thews, and P. Vaupel. “Some Special Problems Concerning the Oxygen Supply to Tissue, as Studies by an Analog Computer,” Oxygen Transport in Tissue Workshop, Dortmund, Germany, July, 1971.Google Scholar
  16. 16.
    McCracken, T.A., Bruley, D.F. and M.H. Knisely. “A Systems Analysis for the Transport of Oxygen and the Simultaneous Transport of Oxygen, Carbon Dioxide and Glucose in the Capillaries and Tissue of the Human Brain,” Chemical Engineering Department Report, Clemson University, Clemson, S.C.Google Scholar
  17. 17.
    Metzger, H. “Advances in Experimental Medicine and Biology,” Vol. 37 A & B, Plenum Press, N.Y., 1973.Google Scholar
  18. 18.
    Bruley, D.F., D.D. Reneau, H.I. Bicher and M.H. Knisely. “Theoretical Studies of Brain Tissue Oxygenation Considering the Deoxygenation Rate of the Red Cell,” VIIth Conf. of the Europ. Soc. for Proc. of Microcirc., Aberdeen, Scotland, Bibl. anat., 11, 507 (Karger, Basel 1973).Google Scholar
  19. 19.
    Fletcher, J.E. “Advances in Experimental Medicine and Biology”, Plenum Press, New York, 1975.Google Scholar
  20. 20.
    Bruley, D.F., L. Groome, D.H. Hunt, H.I. Bicher, and M.H. Knisely, “Predicting Oxygen Supply to Brain Tissue Using a Pseudo Dynamic Model Simulation Technique,” presented at the Eighth European Conference in Microcirculation, Le Touquet, France, June, 1974.Google Scholar
  21. 21.
    Ono, Tsukasa, and Hiroshi Tazawa. “Microphotometric Methods for Measuring the Oxygenation and Deoxygenation Rate in a Single Red Blood Cell,” Japanese J. of Physiol. 25, 93–107, 1975.CrossRefGoogle Scholar
  22. 22.
    Mochizuki, Masaji. “On the Velocity of Oxygen Dissociation of Human Hemoglobin and Red Cell,” Japanese J. of Physiol., Vol. 16, No. 6, Dec. 15, 1966.Google Scholar
  23. 23.
    Artigue, R., D.F. Bruley, D. Von Rosenberg, M. Mochizuki. “The Effect of the Red Blood Cell Deoxygenation Rate on Oxygen Delivery to Tissue,” 9th Europ. Conf. Microcirculation, Antwerp 1976. Bibl. anat., No. 15, pp. 405–508 (Karger, Basel 1977).Google Scholar
  24. Artigue, R. S., D. F. Bruley and C. Williford. “Oxygen and Carbon Dioxide Transport in Human Brain: Effect of the Mass Transfer Coefficient of the Red Blood Cell,” Rose-Hulman Institute of Technology, Terre Haute, IN, and Tulane University, New Orleans, LA. Unpublished at this printing.Google Scholar
  25. 25.
    Williford, C., D. Bruley and R. Artique. “Probabilistic Modelling of Oxygen Transport on Brain Tissue,” Neuro Research 2, 153–170 (1974).Google Scholar
  26. 26.
    Kang, K., D. Bruley and H. Bicher. “A Computer Simulation of Simultaneous Heat and Oxygen Transport During Three Dimensional Tumor Hyperthennia”, Oxygen Transport to Tissue X, Advances in Experimental Medicine and Biology, Plenum Press, Vol. 222, 747–756 (1988).CrossRefGoogle Scholar
  27. 27.
    Kang, K. and D. Bruley. “A Simulation of Three Dimensional Oxygen Transport In Brain Tissue with A Single Neuron-Single Capillary System by the Williford-Bruley Technique,” Oxygen Transport to Tissue - VI, Advances in Experimental Medicine and Biology, Plenum Press, Vol. 180, 887–899 (1984).Google Scholar
  28. 28.
    Groome, L.J., Bruley, D.F. and M.H. Knisely, “A Stochastic Model for the Transport of Oxygen to the Brain”, Oxygen Transport to Tissue - II; Advances in Experimental Medicine and Biology, Plenum Publishing Corporation 75, pp. 267–277, 1976.Google Scholar

Copyright information

© Springer Science+Business Media New York 1994

Authors and Affiliations

  • Duane F. Bruley
    • 1
  1. 1.College of EngineeringUniversity of Maryland Baltimore CountyBaltimoreUSA

Personalised recommendations