Advertisement

Capillary Wall Permeability Effects in Perfused Capillary-Tissue Structures

  • John E. Fletcher
  • Roy W. Schubert
Part of the Advances in Experimental Medicine and Biology book series (AEMB, volume 180)

Abstract

In a series of previous papers [1,2,3,5 and 8], we have discussed models that have been adapted to represent, among other experiments, the perfused heart preparation shown in figure 1. These papers have corrected previous representation errors and have discussed computational difficulties encountered by others using mathematical solutions of these models. However, it was found that the model representations as used by Krogh [6], and later modified by Blum [7] were not completely adequate to represent the data as determined by the experimental design in [4].

Keywords

Axial Diffusion Wall Permeability Minimum Tissue Capillary Entrance Experimental Histogram 
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.
    R. Schubert, A physiological and mathematical study of oxygen distribution in the autoregulating isolated heart, Ph.D. thesis, Case Western Reserve University, Cleveland, Ohio (1976).Google Scholar
  2. 2.
    R. Schubert and W. Whalen, A mass transport model for predicting O2 distribution in the autoregulating heart, Microvascular Research, vol. 11, 127, (1976).Google Scholar
  3. 3.
    J. Fletcher, Mathematical modeling of the microcirculation, Mathematical Biosciences, 38, 159–202 (1978).CrossRefGoogle Scholar
  4. 4.
    R. Schubert, W. Whalen, and P. Nair, Myocardial PO2 distribution: relationship to coronary autoregulation, Amer. J. Physiol. 234 (4), H361–H370, (1978).PubMedGoogle Scholar
  5. 5.
    J. Fletcher and R. Schubert, On the computation of substrate levels in perfused tissues, Mathematical Biosciences, 62, 75–106 (1982).CrossRefGoogle Scholar
  6. 6.
    A. Krogh, The number and distribution of capillaries in muscles with calculations of the oxygen pressure head necessary for supplying the tissue. J. Physiol., 52, 409–415 (1919).PubMedGoogle Scholar
  7. 7.
    J. Blun, Concentration profiles in and around capillaries, Amer. J. Physiol. 198, 991–998 (1960).Google Scholar
  8. 8.
    J. Fletcher and R. Schubert, Diffusional coupling in a hemoglobin free perfused capillary-tissue structure. Proceedings of the 1982 ISOTT meeting. Dortmond, Germany, July 1982, (being published by Plenum Press).Google Scholar
  9. 9.
    J. Fletcher and R. Schubert, Diffusional coupling and wall permeability effects in perfused capillary-tissue structures, (submitted for publication), (1983).Google Scholar
  10. 10.
    E. Rasio and C. Goresky, Capillary limitation of oxygen distribution in the isolated rete mirabile of the eel (Anguilla anguilla), Circulation Res. 44:498–503, (1979).PubMedCrossRefGoogle Scholar
  11. 11.
    C. Rose and C. Goresky, Interactions between capillary exchange, cellular entry, and metabolic sequestration processes in the heart, in Handbook of Physiology, E. Renkin and S. Geiger eds., Amer. Physio. Society, Vol. 4 (2) Bethesda, MD. (1982).Google Scholar
  12. 12.
    J. Bassingthwaighte, T. Yipintsoi, and R. Harvey, Microvasculature of the dog left ventricular myocardium. Microvascular Res. 7:229–249, (1974).CrossRefGoogle Scholar
  13. 13.
    H. Fallsetti, R. Cavvol, and M. Marcus, Temporal heterogenity of myocardial blood flow. Circulation Res. 52: 848–853, (1976).Google Scholar
  14. 14.
    C. Rose and C. Goresky, Vasomotor control of capillary transit time heterogenity in the canine coronary circulation. Circulation Res. 39:541–554, (1976).PubMedCrossRefGoogle Scholar

Copyright information

© Plenum Press, New York 1984

Authors and Affiliations

  • John E. Fletcher
    • 1
  • Roy W. Schubert
    • 2
  1. 1.Division of Computer Research and TechnologyNational Institutes of HealthBethesdaUSA
  2. 2.Department of Biomedical EngineeringLouisiana Tech UniversityRustonUSA

Personalised recommendations