The Theoretical Prediction of Substrate Levels and Their Histograms in Cell Free Perfused Tissues

  • John E. Fletcher
  • Roy W. Schubert
Part of the Advances in Experimental Medicine and Biology book series (AEMB, volume 159)


The development of experimental techniques to study substrate levels in the isolated perfused heart and brain have renewed interest in the mathematical modelling of perfused capillary-tissue structures. We have reconsidered an analytic representation of the Krogh cylinder model for capillary-tissue structures and relate this mathematical model to experimental data through histograms of the oxygen (PO2) distribution. Model histograms are computed for experimental parameters of interest and changes in the histogram associated with changes in model parameters, especially diffusion constants, are demonstrated.


Series Solution Radial Diffusion Substrate Level Axial Diffusion Perfuse Heart 
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Copyright information

© Plenum Press, New York 1983

Authors and Affiliations

  • John E. Fletcher
    • 1
    • 2
  • Roy W. Schubert
    • 1
    • 2
  1. 1.Laboratory of Applied StudiesDivision of Computer Research and Technology, N.I.H.BethesdaUSA
  2. 2.Department of Biomedical EngineeringLouisiana Tech UniversityRustonUSA

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