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Modeling of the oxygen transfer in the respiratory process

By Sébastien Martin and Bertrand Maury

Abstract

International audienceIn this article, we propose an integrated model for oxygen transfer into the blood, coupled with a lumped mechanical model for the ventilation process. We aim at investigating oxygen transfer into the blood at rest or exercise. The first task consists in describing nonlinear effects of the oxygen transfer under normal conditions. We also include the possible diffusion limitation in oxygen transfer observed in extreme regimes involving parameters such as alveolar and venous blood oxygen partial pressures, capillary volume, diffusing capacity of the membrane, oxygen binding by hemoglobin and transit time of the red blood cells in the capillaries. The second task consists in discussing the oxygen concentration heterogeneity along the path length in the acinu

Topics: Oxygen transfer, ventilation, lung diffusion capacity, advection-diffusion equation, [ MATH.MATH-NA ] Mathematics [math]/Numerical Analysis [math.NA], [ MATH.MATH-AP ] Mathematics [math]/Analysis of PDEs [math.AP]
Publisher: EDP Sciences
Year: 2013
DOI identifier: 10.1051/m2an
OAI identifier: oai:HAL:hal-00714239v2
Provided by: Hal-Diderot

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