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Multi-Capillary Model for Oxygen Transport to Skeletal Muscle

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Oxygen Transport to Tissue — III

Part of the book series: Advances in Experimental Medicine and Biology ((AEMB,volume 94))

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.

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References

  • 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.

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  • Loats, J.T., Sillau, A.H. and Banchero, N. (1977) Plenum Press.

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  • Sillau, A.H. and Banchero, N. (1977) Proc. Soc. Exp. Biol. Med. 154, 461.

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  • Sillau, A.H. and Banchero, N. (1977a) Pflugers Archiv, (in press).

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Author information

Authors and Affiliations

  1. Dept. Chemical Engineering, Tulane Univ., New Orleans, LA, 70118, USA

    Khan Akmal, Ronald Artigue & Wiliam Maloney

  2. Dept. Chemical Engineering, Rose-Hulman Inst. of Technology, Terre Haute, IN, 47803, USA

    Duane F. Bruley

  3. Dept. Physiology, Sch. Med., Denver, CO, 80262, USA

    Natalio Banchero

Authors
  1. Khan Akmal
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  2. Duane F. Bruley
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  3. Natalio Banchero
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  4. Ronald Artigue
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  5. Wiliam Maloney
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Editor information

Editors and Affiliations

  1. University of Bristol, Bristol, England

    I. A. Silver

  2. University of Pennsylvania, Philadelphia, Pennsylvania, USA

    M. Erecińska

  3. Roswell Park Memorial Institute, Buffalo, New York, USA

    H. I. Bicher

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© 1978 Plenum Press, New York

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Akmal, K., Bruley, D.F., Banchero, N., Artigue, R., Maloney, W. (1978). Multi-Capillary Model for Oxygen Transport to Skeletal Muscle. In: Silver, I.A., Erecińska, M., Bicher, H.I. (eds) Oxygen Transport to Tissue — III. Advances in Experimental Medicine and Biology, vol 94. Springer, New York, NY. https://doi.org/10.1007/978-1-4684-8890-6_19

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  • DOI: https://doi.org/10.1007/978-1-4684-8890-6_19

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  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4684-8892-0

  • Online ISBN: 978-1-4684-8890-6

  • eBook Packages: Springer Book Archive

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