151. Modeling of lung gas exchange—mathematical models of the lung: The Bohr model, static and dynamic approaches
- Author
-
Terence W. Murphy
- Subjects
Statistics and Probability ,Physics ,Alveolar gas ,General Immunology and Microbiology ,Static model ,Mathematical model ,Applied Mathematics ,Physics::Medical Physics ,Thermodynamics ,General Medicine ,Mechanics ,Gas concentration ,General Biochemistry, Genetics and Molecular Biology ,Bohr model ,Oxygen tension ,symbols.namesake ,Cardiogenic oscillations ,Modeling and Simulation ,symbols ,General Agricultural and Biological Sciences ,Constant (mathematics) - Abstract
The Bohr model of the lung is examined, and all assumptions involved are specified. The weakest assumptions are those required to produce constant alveolar gas concentrations, e.g., simultaneous inhalation and exhalation; these lead to a “static” model. With more realistic assumptions we arrive at a dynamic version of the Bohr two-compartment model. Computed solution of the equations of this model demonstrates two phenomena, i.e., cardiogenic oscillations and increasing carbon dioxide/decreasing oxygen tension in the exhaled gas, not shown by the static model. Experimental results for the changes in exhaled gas concentration are in fair agreement with the model results. It is interesting to observe that the alveolar gas concentrations computed with this lumped parameter model are very similar to the corresponding curves from the distributed parameter model presented by Flumerfelt and Crandall [3].
- Published
- 1969
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