Theoretical Analysis of Coronary Blood Flow and Tissue Oxygen Pressure-Control

  • Jos A. E. Spaan
  • Jenny Dankelman
Part of the Advances in Experimental Medicine and Biology book series (AEMB, volume 346)


Coronary blood flow is tightly coupled to the myocardial oxygen consumption. We have presented a control model based on the assumption that the tissue oxygen pressure is the controlled variable. The coronary blood flow in itself is not a controlled variable but merely the result of a different control system: the tissue oxygen pressure. From our control equation there is no relation between the slope of the autoregulation curve and the gain of the tissue P02 control system. The slope is independent of the level of oxygen consumption.


Coronary Blood Flow Myocardial Oxygen Consumption Open Loop Gain Tissue Oxygen Pressure Autoregulation Curve 
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  1. 1.
    Mosher P, Ross Jr J, McFate PA, Shaw RF. Control of coronary blood flow by an autoregulatory mechanism. Circ Res 1964; 14: 250–259.PubMedCrossRefGoogle Scholar
  2. 2.
    Broten TP, Feigl E0. Role of oxygen and carbon dioxide in coronary autoregulation. FASEB J 1990; 4: A403.Google Scholar
  3. 3.
    Mohnnan DE, Feigl E0. Competition between sympathetic vasoconstriction and metabolic vasodilation in the canine coronary circulation. Circ Res 1987; 42: 79–86.Google Scholar
  4. 4.
    Nichols CG, Lederer WJ. Adenosine triphosphate-sensitive potassium channels in the cardiovascular system. Am J Physiol 1991; 261: H1675–H1686.PubMedGoogle Scholar
  5. 5.
    Dankelman J, Spaan JAE, Stassen HG, Vergroesen I. Dynamics of coronary adjustment to a change in heart rate in the anaesthetized goat. J Physiol Lond 1989; 408: 295–312.PubMedGoogle Scholar
  6. 6.
    Drake-Holland AJ, Laird JD, Noble MIM, Spaan JAE, Vergroesen I. Oxygen and coronary vascular resistance during autoregulation and metabolic vasodilation in the dog. J Physiol Lond 1984; 348: 285–299.Google Scholar
  7. 7.
    Vergroesen I, Noble MIM, Wieringa PA, Spaan JAE. Quantification of O2 consumption and arterial pressure as independent determinants of coronary flow. Am J Physiol (Heart Circ Physiol 21) 1987; 252: H545–H553.Google Scholar
  8. 8.
    Broten TP, Romson JL, Fullerton DA, Van Winkle DM Feigl EO. Synergistic action of myocardial oxygen and carbon dioxide in controlling coronary blood flow. Circ Res 1991; 68: 531–542.PubMedCrossRefGoogle Scholar
  9. 9.
    Dole WP, Nuno DW. Myocardial oxygen tension determines the degree and pressure range of coronary autoregulation. Cure Res 1986; 59: 202–215.CrossRefGoogle Scholar
  10. 10.
    Yipintsoi T, Dobbs WA Jr, Scanlon PD, Knopp TJ, Bassingthwaighte JB. Regional distribution of diffusible tracers and carbonized microspheres in the left ventricle of isolated dog hearts. Circ Res 1973; 33: 573–587.PubMedCrossRefGoogle Scholar
  11. 11.
    Weiss HR, Sinha AK. Regional oxygen saturation of small arteries and veins in the canine myocardium. Circ Res 1978; 42: 119–126.PubMedCrossRefGoogle Scholar
  12. 12.
    VanBavel E, Spaan JAE. Branching patterns in the porcine coronary arterial tree. Estimation of flow heterogeneity. Circ Res 1992; 71: 1200–1212.PubMedCrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media New York 1993

Authors and Affiliations

  • Jos A. E. Spaan
    • 1
    • 2
  • Jenny Dankelman
    • 2
  1. 1.Department of Medical Physics and InformaticsUniversity of Amsterdam AMCAmsterdamThe Netherlands
  2. 2.Laboratory for Measurement and ControlDelft University of TechnologyDelftThe Netherlands

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