A Mathematical Model of the Chemistry of the External Respiratory System
RAND CORPORATION Santa Monica United States
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The purpose of this paper is to summarize the mathematical aspects of ourmore complete study of this subject 1.From the physiological data available and the working of the respiratorysystem as outlined in the foregoing reference, we set up a mathematical modelto represent the more important of the known interrelated physiological functionsand chemical reactions involved in the human respiratory system.Figure 1 is a schematic illustration of the system and demonstrates the relationshipof the inputs and outputs of the mathematical model to the actual system.The a and v in the figure refer to the amounts of the input elements or buildingblocks coming to the lungs in unit time from venous blood and from theair. The x refer to the amounts of the resulting numerous molecular speciesproduced in the arterial blood and in the air of the lung sacs when equilibriumis reached and as determined by the solution of the mathematical model. At thepresent stage outputs of the tissue cells are introduced into the model in terms ofthe composition of the venous blood.
- Statistics and Probability
- Physical Chemistry