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A Dynamic Model of the Respiratory System

  • W. Fincham
  • F. T. Tehrani
Chapter
Part of the Strathclyde Bioengineering Seminars book series (KESE)

Abstract

The purpose of this work was to examine and extend the studies of some of the earlier workers in the field of mathematical modelling of the respiratory system. The first of these people was Gray (1949) who formulated pulmonary ventilation in relation to (H+), carbon dioxide PCO2 and oxygen PO2 tensions of the arterial blood in the steady-state. Gray later joined forces with Grodins et al. (1954) to bring an engineering type of approach to modelling, their model being dynamic in nature. The following decade saw the publication of almost an abundance of related papers, and names such as Defares, Horgan, Lange, Milhorn, Guyton, Yamamoto and Longobardo come easily to mind. Priban and Fincham (1965) suggested a model with hill-climbing features and a hierarchically structured controller but did not give specific equations.

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References

  1. Gray, J. S., (1949). Pulmonary Ventilation and its Physiological Regulation, Thomas, Illinois.Google Scholar
  2. Grodins, F. S., Gray, J. S., Schroeder, K. R., Norins, A. L. and Jones, R. W. (1954). Respiratory responses to CO2 inhalation. A theoretical study of a nonlinear biological regulator. J. appl. Phvsiol., 7, 283–308.Google Scholar
  3. Mitchell, R. A., Loescheke, W. H., Massion, W. H. and Severinghaus, J. W. (1963). Respiratory responses mediated through superficial chromosensitive areas on the medulla. J. appl. Physiol., 18, 523–533.Google Scholar
  4. Otis, A. B., Fenn, W. O. and Rahn, H. (1950). Mechanics of breathing in man. J. appl. Physiol., 2, 592–607.PubMedGoogle Scholar
  5. Priban, I. P. and Fincham, W. F. (1965). Self-adaptive control and the respiratory system. Nature, Lond., 208, 339–343.CrossRefGoogle Scholar
  6. Ruch, T. C. and Patton, H. D. (1966). Physiology and Biophysics, Saunders, Philadelphia and London.Google Scholar

Copyright information

© Bioengineering Unit, University of Strathclyde 1982

Authors and Affiliations

  • W. Fincham
  • F. T. Tehrani

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