Mathematical Model of Respiratory Gas Exchange at Stationary Conditions

  • A. Grad
  • S. Svetina
Part of the Advances in Experimental Medicine and Biology book series (AEMB, volume 92)

Abstract

Exchange of respiratory gases in an organism is a corporate process in which the ventilatory, circulatory and metabolic functions are involved (Wasserman et al, 1967). The properties of the respiratory gases exchange system are determined by a number of regulatory mechanisms and the oxygen and carbon dioxide carrying properties of the blood. The system is multivariant with many inputs and outputs therefore the mathematical models can be considered as an important tool in understanding its behaviour. In this communication a simple mathematical model is introduced for studying the respiratory gases exchange at stationary conditions, in which the ventilation is regulated by the arterial values of carbon dioxide and oxygen, and the blood flow is assumed to depend on the metabolic needs of the tissue. The input parameters are external pressures of oxygen and carbon dioxide, oxygen consumption rate in tissue and respiratory quotient. The outputs are arterial and venous concentrations of oxygen and carbon dioxide, arterial and venous pH, ventilation and blood flow.

Keywords

Dioxide Respiration Rium Exter 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Doll, E., Keul, J. and Maiwald, C. (1968) Amer.J. Physiol. 215. 23.PubMedGoogle Scholar
  2. Duvelleroy, M.A., Mehmel, H. and Laver, M.B. (1973) J. Appl. Physiol. 35, 480.PubMedGoogle Scholar
  3. Guyton, A.C., Jones, C.E. and Coleman, T.G. (1973) Circulatory Physiology: Cardiac Output and its Regulation. W.B. Saunders Company, Philadelphia, London and Toronto, Ch. 19.Google Scholar
  4. Johnson, P.C. and Wayland, H. (1967) Amer. J. Physiol. 212, 1405.PubMedGoogle Scholar
  5. Lloyd, B.B. and Cunningham, D.J.C. (1963) A quantitative approach to the regulation of human respiration. In ‘The Regulation of Human Respiration’ (eds. Cunningham, D.J.C. and Lloyd, B.B.;. P.A. Davis Co., Philadelphia.Google Scholar
  6. Milhorn, H.T., Jr. and Brown, D.R. (1971) Comput. Biomed. Res. 3, 604.CrossRefGoogle Scholar
  7. Mitchell, J.W., Stolwijk, J.A.J, and Nadel, E.R. (1972) Biophys. J. 12, 1452.PubMedCrossRefGoogle Scholar
  8. Prewitt, R.L. and Johnson, P.C. (1976) Microvas. Res. 12, 59.CrossRefGoogle Scholar
  9. Smolej, V. and Svetina, S. (1975) Biosystems 7, 209.PubMedCrossRefGoogle Scholar
  10. Wasserman, K., Van Kessel, A.L. and Burton, G.G. (1967) J. Appl. Physiol. 22, 71.PubMedGoogle Scholar
  11. Wiedeman, M.P., Turna, R.P. and Mayrovitz, H.N. (1976) Microvas. Res. 12, 71.CrossRefGoogle Scholar

Copyright information

© Plenum Press, New York 1978

Authors and Affiliations

  • A. Grad
    • 1
  • S. Svetina
    • 1
  1. 1.Institute of Biophysics, Medical Faculty and J.Stefan InstituteUniversity of LjubljanaLjubljanaYugoslavia

Personalised recommendations