The dead space in a compartmental lung model |
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| Authors: | John W. Evans David G. Cantor Joe R. Norman |
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| Affiliation: | (1) Mathematical Research Branch, National Institute of Arthritis and Metabolic Diseases, National Institutes of Health, Bethesda, Maryland;(2) Department of Mathematics, University of California, Los Angeles, California;(3) Pulmonary Division, Department of Medicine, University of Alabama Medical Center, Birmingham, Alabama;(4) Present address: International Business Machines Scientific Center, Los Angeles, California |
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| Abstract: | A compartmental lung model with any number of synchronously filling and emptying functional chambers and a common dead space or conducting region is considered. It is shown that the model gives rise to an output, in an open circuit washout determination, which is a weighted sum of exponentials. From estimates of these weights and exponential components, estimates of the model parameters can be recovered. Relations giving the unique correspondence between the output parameters and the model parameters are derived and the existence and uniqueness of solutions established. |
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