Abstract
The case of a vessel, which supplies a region through which it passes with some substance, is considered for the situation in which the permeability is the limiting factor. Diffusion parallel to the vessel is neglected. The substance may, however, be consumed proportional to its concentration in the inner or outer region. A solution is given for the case in which the input is an arbitrary function of time. It is suggested that the results may be applied in some cases to data on the injection of substances into blood vessels, or they may be applied to the transient effects in the case of vapors or gases passing through the respiratory passages.
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Literature
Landahl, H. D. and R. G. Herrmann. 1950. “Retention of Vapors and Gases in the Human Nose and Lung.”Arch. Indust. Hyg. and Occupat. Med.,1, 36–45.
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Landahl, H.D. Transient phenomena in capillary exchange. Bulletin of Mathematical Biophysics 16, 55–58 (1954). https://doi.org/10.1007/BF02481812
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DOI: https://doi.org/10.1007/BF02481812