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A Digital Model for Determining Oxygen Consumption in Tissue

  • James Hynson
  • Duane F. Bruley
  • James HalseyJr.
  • Vince Rideout
Part of the Advances in Experimental Medicine and Biology book series (AEMB, volume 180)

Abstract

Tissue oxygenation models based on the Krogh cylinder geometry have often been used to determine oxygen distribution in various tissues, especially brain and muscle. Often, the quantity of interest is the partial pressure of oxygen (pO2) at the point in the tissue farthest from the arterial end of the capillary. This point is designated the “lethal corner” since it corresponds to the least oxygenated point in the tissue and is therefore theoretically at the greatest risk of becoming anoxic. Generally, assumptions are made regarding the dynamics of oxygen transport within such a geometry and appropriate partial differential equations are written to describe the system. Given a set of values, including tissue cylinder radius, length of capillary, metabolic rate and others, a solution can be obtained by programming the equations on a digital and/or analog computer. The solution to the equations is the pO2 at any point in the tissue or capillary cylinder.

Keywords

Oxygen Metabolism Capillary Radius Estimation Program Tissue Cylinder Terminal Section 
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.

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References

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    Reneau, D.D., D.F. Bruley and M.H. Knisely, “A Mathematical Simulation of Oxygen Release, Diffusion and Consumption in the Capillaries and Tissue of the Human Brain,” in Chemical Engineering in Medicine and Biology, Plenum Press (1967)Google Scholar
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Copyright information

© Plenum Press, New York 1984

Authors and Affiliations

  • James Hynson
    • 1
  • Duane F. Bruley
    • 2
  • James HalseyJr.
    • 3
  • Vince Rideout
    • 1
  1. 1.Electrical EngineeringUniversity of WisconsinMadisonUSA
  2. 2.Biomedical Engineering DepartmentLouisiana Tech UniversityRustonUSA
  3. 3.Department of NeurologyUniversity of Alabama in BirminghamBirminghamUSA

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