A Stochastic Model for the Transport of Oxygen to Brain Tissue

  • Duane F. Bruley
  • Lynn J. Groome
  • Haim Bicher
  • Melvin H. Knisely
Part of the Advances in Experimental Medicine and Biology book series (AEMB, volume 75)


Material balances around a small, but finite volume element have formed the basis for previous mathematical models describing the transport of oxygen in the brain microcirculation. Seeking a model which would be both simple and versatile, a stochastic model was proposed based on the assumption that oxygenation of the brain can be described quantitatively by simulating the activity of only one erythrocyte and the oxygen molecules surrounding it. Compared with existing deterministic models, the capillary space-average oxygen partial pressure profiles were in close agreement. Tissue tensions were decidedly different.


Stochastic Model Oxygen Partial Pressure Deterministic Model Oxygen Molecule Fractional Saturation 


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Copyright information

© Plenum Press, New York 1976

Authors and Affiliations

  • Duane F. Bruley
    • 1
  • Lynn J. Groome
    • 2
  • Haim Bicher
    • 3
  • Melvin H. Knisely
    • 4
  1. 1.Dept. of ChETulane Univ.New OrleansUSA
  2. 2.Dept. of ChEClemson Univ.ClemsonUSA
  3. 3.Dept. of PharmacologyMed. School of ArkansasLittle RockUSA
  4. 4.Dept. of AnatomyMed. Univ. of S.C.CharlestonUSA

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