Abstract

The gas exchange between the pulmonary capillaries and the inspired air in the lungs is analytically studied, with the purpose of determining respiratory gas concentrations in the capillary bed. The capillary bed is modelled as a set of parallel, distributed-parameter, flow-forced diffusional tubes. Based upon constant physiological properties, a complete mathematical description of the system is obtained. The concentrations of oxygen and carbon dioxide at a particular time and position in the capillary bed are shown to be a function of a dimensionless factor B. Examples are presented which describe the response of the system under both normal and abnormal conditions.

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