A Two-Compartment Model of the Lung.

T. W. Murphy

ResearchPublished 1966

A report on the modeling of gas exchange in the lung. The author derives the differential equations for changes in gas concentration with time in the two-compartment model of the lung, and graphs the solutions by digital simulation. Estimates of the fluctuations in alveolar gas partial pressures and in exhaled gas partial pressures are given, and it is shown that the model simulates cardiogenic oscillations in the exhaled gas curve. It is also shown that the consequences of cyclic ventilation and perfusion of the lung, coupled with non-linearities in the content-pressure relationships for blood and gas, cause some differences between the mean partial pressure of a gas in the lung gas and in the lung blood. This effect is demonstrated in both an intuitive and mathematical manner, and a computational approach is described. The magnitude of the effect is computed for carbon dioxide and oxygen. A report on the modeling of gas exchange in the lung. The author derives the differential equations for changes in gas concentration with time in the two-compartment model of the lung, and graphs the solutions by digital simulation. Estimates of the fluctuations in alveolar gas partial pressures and in exhaled gas partial pressures are given, and it is shown that the model simulates cardiogenic oscillations in the exhaled gas curve. It is also shown that the consequences of cyclic ventilation and perfusion of the lung, coupled with non-linearities in the content-pressure relationships for blood and gas, cause some differences between the mean partial pressure of a gas in the lung gas and in the lung blood. This effect is demonstrated in both an intuitive and mathematical manner, and a computational approach is described. The magnitude of the effect is computed for carbon dioxide and oxygen. 43 pp. Bibliog

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Murphy, T. W., A Two-Compartment Model of the Lung. Santa Monica, CA: RAND Corporation, 1966. https://www.rand.org/pubs/research_memoranda/RM4833.html.
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