Analytical simulation of lingitudinal gas mixing in the human central airways |
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| Affiliation: | 1. School of Nuclear Science and Technology, University of Science and Technology of China, Hefei, Anhui 230026, China;1. Laboratory of Pathology, National Cancer Institute, Bethesda, MD 20892;2. Department of Pathology, Aichi Medical University School of Medicine, Nagakute, Japan 480-1195;3. Department of Pathomorphology, Medical University of Gdansk, Gdansk, Poland 80-210;4. Department of Pathology, Otto-von-Guericke University Magdeburg, Magdeburg, Germany 39106;5. Department of Pathology, National Tuberculosis and Lung Diseases Research Institute, Warsaw, Poland 01-138;6. Department of Tumor Pathology, Centre of Oncology, Maria Sklodowska-Curie Memorial Institute, Krakow Branch, Poland 31-115;7. Department of Pathomorphology, Jagiellonian University, Krakow, Poland 31-007;8. Independent Laboratory of Pathology, Zdunomed, Szczecin, Poland 70-891;9. Thoracic and GI Oncology Branch, National Cancer Institute, Bethesda, MD 20892 |
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| 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. |
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