A numerical study of the nonsteady transport of gases in the pulmonary capillaries

DOI10.1007/BF00277167zbMath0621.92007OpenAlexW2045552833WikidataQ69426003 ScholiaQ69426003MaRDI QIDQ1090639

M. P. Singh, Maithili Sharan, Azim Aminataei

Publication date: 1987

Published in: Journal of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00277167

zbMATH Keywords

convectionequilibriummolecular diffusiondissolved oxygentime dependenthaemoglobincarbon dioxideparabolic differential equationsfacilitated diffusionpulmonary capillariesalveolar airboundary, entrance and initial conditionsnonlinear coupled partial differential equationsunsteady transport of gasesvenous blood

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Finite difference methods for boundary value problems involving PDEs (65N06) Physiological flows (76Z05) Physiological, cellular and medical topics (92Cxx)

Related Items (2)

A two-layer model for studying the effect of plasma layer on the delivery of oxygen to tissue using a finite element method ⋮ Computational modeling of capillary perfusion and gas exchange in alveolar tissue

Cites Work

• A numerical model for the process of gas exchange in the pulmonary capillaries
• Physio-mathematical aspects of blood oxygenation in lung capillaries
• A theoretical model for studying the rate of oxygenation of blood in pulmonary capillaries
• Mathematical analysis of carbon dioxide transport by blood
• Mathematical modeling of the microcirculation
• A mathematical model for the process of gas exchange in lung capillaries usingnth order one-step kinetics of oxygen uptake by haemoglobin
• A Model Describing the Unsteady Transport of Substrate to Tissue from the Microcirculation
• Unnamed Item

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