PMID: 6511118Nov 1, 1984Paper

Analytical simulation of longitudinal gas mixing in the human central airways

International Journal of Bio-medical Computing
A Ben Jebria, P Varene

Abstract

In order to study gaseous mixing in the proximal respiratory airways during stationary breathing, a simple mathematical model with an analytical solution of the corresponding equation is presented. Calculations were carried out by solving the differential equation analytically according to the system response to a unit impulse combined with the convolution method. It seems that this analytical method gives similar results to those obtained by the numerical ones; however, our method is computationally simple and can provide a reasonable tool to study gas transport in the airways.

References

Aug 1, 1979·Respiration Physiology·S H Hobbs, E N Lightfoot
Jun 1, 1977·Respiration Physiology·H D Van Liew, R W Mazzone
Sep 1, 1972·The Bulletin of Mathematical Biophysics·P W SchererN M Greene
Aug 1, 1971·Respiration Physiology·G CummingS B Preston
Oct 1, 1969·Respiration Physiology·R C Schroter, M F Sudlow
Jan 1, 1984·International Journal of Bio-medical Computing·A Ben Jebria
Dec 1, 1981·Computers and Biomedical Research, an International Journal·A Ben JebriaJ F Boisvieux

Related Concepts

Mathematics
Pulmonary Gas Exchange

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