The dead space in a compartmental lung model
Autor: | Joe R. Norman, David G. Cantor, John W. Evans |
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Rok vydání: | 1967 |
Předmět: |
Pharmacology
Respiration General Mathematics General Neuroscience Dead space Immunology Mathematical analysis Model parameters General Medicine Models Biological General Biochemistry Genetics and Molecular Biology Exponential function Exponential sum Computational Theory and Mathematics Gases Uniqueness General Agricultural and Biological Sciences Lung Mathematics General Environmental Science |
Zdroj: | The Bulletin of Mathematical Biophysics. 29:711-718 |
ISSN: | 1522-9602 0007-4985 |
Popis: | 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. |
Databáze: | OpenAIRE |
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