Advertisement

Multi-Capillary Model for Oxygen Transport to Skeletal Muscle

  • Khan Akmal
  • Duane F. Bruley
  • Natalio Banchero
  • Ronald Artigue
  • Wiliam Maloney
Part of the Advances in Experimental Medicine and Biology book series (AEMB, volume 92)

Abstract

Systems of nonlinear, unsteady-state, partial differential equations have been developed to model oxygen transport in the microcirculation of brain using the Krogh cylinder as the basic anatomical unit (Reneau, Bruley and Knisely, 1967). The models have been solved to predict trends in behavior but it has been impossible to test them against accurate in-vivo quantitative data from brain because of the experimental difficulties in determining the exact position of PO2 eletrodes in the capillary-neuron network. Because of this we have tried to find an animal model that would reduce the histological complexity of the system and allow us to test the validity of the mathematical models.

Keywords

Oxygen Transport Equilateral Triangle Axial Diffusion Capillary Radius Radial Point 
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. Reneau, D.D., Jr.; Bruley, D.F.; Knisely, M. H.: A Mathematical Simulation of Oxygen Release, Diffusion, and Consumption in the Capillaries and Tissue of the Human Brain. In: D. Hershey: Chemical Engineering in Medicine and Biology, Plenum Press, New York, 1967.Google Scholar
  2. Loats, J.T., Sillau, A.H. and Banchero, N. (1977) Plenum Press.Google Scholar
  3. Sillau, A.H. and Banchero, N. (1977) Proc. Soc. Exp. Biol. Med. 154, 461.PubMedGoogle Scholar
  4. Sillau, A.H. and Banchero, N. (1977a) Pflugers Archiv, (in press).Google Scholar

Copyright information

© Plenum Press, New York 1978

Authors and Affiliations

  • Khan Akmal
    • 1
  • Duane F. Bruley
    • 2
  • Natalio Banchero
    • 3
  • Ronald Artigue
    • 1
  • Wiliam Maloney
    • 1
  1. 1.Dept. Chemical EngineeringTulane Univ.New OrleansUSA
  2. 2.Dept. Chemical EngineeringRose-Hulman Inst. of TechnologyTerre HauteUSA
  3. 3.Dept. PhysiologySch. Med.DenverUSA

Personalised recommendations