A Computer Analysis of Graded Ischemia in Brain

  • Randal E. Null
  • Daniel D. Reneau
Part of the Advances in Experimental Medicine and Biology book series (AEMB, volume 92)


Based on the Krogh tissue cylinder, a lumped parameter mathematical model was developed to describe multicomponent transport and metabolic reaction processes in brain. Utilizing the mathematical model, computer solutions were obtained for a wide range of patho-physiologic conditions. Varying degrees of ischemia were imposed on arterial blood flow in order to examine the metabolic state of brain tissue during reduced oxygen supply. The major purpose of the study was to observe the effects created in tissue at extremely low flow rates, including complete flow cessation.


Mass Transfer Coefficient Reduce Blood Flow Complete Ischemia Reduce Oxygen Supply Multicomponent Transport 


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  1. Krogh, A. (1922) The Anatomy and Physiology of Capillaries. Yale University Press.Google Scholar
  2. Null, R.E. (1976) Ph.D. Dissertation, Louisiana Tech University, Ruston, La., U.S.A.Google Scholar
  3. Siesjo, B.K., Nordstrom, C.H. and Rehncrona, S. (1977) Adv. Exp. Med. Biol. 78, 261.Google Scholar
  4. Silver, I.A. (1977) Adv. Exp. Med. Biol. 78, 299.Google Scholar

Copyright information

© Plenum Press, New York 1978

Authors and Affiliations

  • Randal E. Null
    • 1
  • Daniel D. Reneau
    • 2
  1. 1.University of VirginiaCharlottesvilleUSA
  2. 2.Louisiana Tech UniversityRustonUSA

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