Development of an In-Vitro Method for Simulation of Oxygen Transport in the Microcirculation

  • E. J. Boland
  • J. S. Olson
  • J. D. Heliums
Part of the Advances in Experimental Medicine and Biology book series (AEMB, volume 191)


Measurement of oxygen transport rates in the microcirculation has been the subject of numerous in vivo investigations and considerable progress has been made. However, there are experimental difficulties in exact determination of several important parameters including the capillary wall boundary conditions and the capillary dimensions. These difficulties have constituted the incentive for our continuing development of an in vitro system in which the capillary dimensions are determined precisely by light and electron microscopy; the flow rate is carefully regulated; the inlet concentration of red cells or hemoglobin is controlled independently; the fractional saturation of hemoglobin is measured spectrophotometrically; and the boundary conditions in the silicone rubber capillary bed can be computed by established mathematical techniques. Accurate measurement of these variables should prove to be useful in testing and validating the several mathematical models which have been used in simulation of microcirculatory oxygen transport. A preliminary report on the project has described the basic features of the method (Boland, et al, 1984).


Oxygen Saturation Nusselt Number Silicone Rubber Oxygen Transport Capillary Wall 
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.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. Anon., 1968, Encyclopedia of Polymer Science and Technology8: 630, J. Wiley and Sons.Google Scholar
  2. Balcerzak, M.J., and Raynor, S., 1961, Steady state temperature distribution and heat flow in prismatic bars with isothermal boundary conditions, Int. J. Heat Transfer3: 113–125.CrossRefGoogle Scholar
  3. Baxley, P. T., and Heliums, J. D., 1984, Simulation of oxygen transport in the microcirculation, Ann. Biomed. Eng., in press.Google Scholar
  4. Boland, E. J., Unno, H., Olson, J. S., and Heliums, J. D., 1984, An in-vitro method for simulation of oxygen transport in the microcirculation, Proceedings of International Society on Oxygen Transport to Tissues Meeting, Plenum Publishing Corp., in press.Google Scholar
  5. Coin, J. T., and Olson, J. S., 1979, The rate of oxygen uptake by human red blood cells, J. Bio. Chem., 254, 1178–1190.Google Scholar
  6. Dugan, J. F., 1972, On the shape factor for a hollow, square cylinder, Am. Inst. Chem. Engrs. J. 18: 1082–1083.CrossRefGoogle Scholar
  7. Heliums, J. D., 1977, The resistance to oxygen transport in the capillaries relative to that in the surrounding tissue, Microvascular Res., 13, 131–136.CrossRefGoogle Scholar
  8. Olson, J. S., 1981, Rapid mixing measurements of ligand binding data, Methods in Enzymology, 76: 631–651.PubMedCrossRefGoogle Scholar
  9. Pittman, R. N., and Duling, B. R., 1975a, A new method for the measurement of percent oxyhemoglobin, J. Appl. Physiol.38: 315–320.Google Scholar
  10. Pittman, R. N., and Duling, B. R., 1975b, Measurement of percent oxyhemoglobin in the microvasculature, J. Appl. Physiol.38: 321–327.Google Scholar
  11. Pries, A. R., Kanzow, G., and Gaehtgens, P., 1983, Microphotometric determination of hematocrit in small vessels, Am. J. Physiol., 245 (Heart Circ. Physiol. 14): H167–H177.PubMedGoogle Scholar
  12. Sarelius, I. H. and Duling, B., 1982, Direct measurement of micro-vessel hematocrit, red cell flux, velocity, and transit time, Am. J. Physiol., 243 (Heart Circ. Physiol. 12): H1018–H1026.PubMedGoogle Scholar
  13. Shih, F. S., 1970, On the temperature field of a square column embedding a heating cyclinder, Am. Inst. Chem. Engrs. J.16: 134–138. See also a correction, Ibid, 16, 1109.CrossRefGoogle Scholar
  14. Sinha, A. K., 1969, O2 uptake and release by red cells through capillary wall and plasma layer, Ph.D. Thesis in Physiology, University of California, San Francisco, CA.Google Scholar
  15. Vandegriff, K. and Olson, J. S., 1984, A quantitative description in three dimensions of oxygen uptake by human red blood cells, Biophys. J., 45, 825–835.PubMedCrossRefGoogle Scholar
  16. Yap, E., 1984, Mathematical Modeling of oxygen transport in the microcirculation, M.S. Thesis in Chemical Engineering, Rice University.Google Scholar

Copyright information

© Plenum Press, New York 1985

Authors and Affiliations

  • E. J. Boland
    • 1
  • J. S. Olson
    • 2
  • J. D. Heliums
    • 1
  1. 1.Biomedical Engineering LaboratoryRice UniversityHoustonUSA
  2. 2.Department of BiochemistryRice UniversityHoustonUSA

Personalised recommendations