Modeling of the oxygen transfer in the respiratory process

Sébastien Martin (1, 2) , Bertrand Maury (1, 3)

1 LM-Orsay - Laboratoire de Mathématiques d'Orsay
2 REO - Numerical simulation of biological flows
3 POPIX - Modélisation en pharmacologie de population

In 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 acinus

Mots clés: Oxygen transfer; ventilation; lung diffusion capacity; advection-diffusion equation

Domaines: Analyse numérique [math.NA]; Equations aux dérivées partielles [math.AP]

Sébastien Martin, Bertrand Maury. Modeling of the oxygen transfer in the respiratory process. ESAIM: Mathematical Modelling and Numerical Analysis, 2013, 47 (04), pp.935-960. ⟨10.1051/m2an/2012052⟩. ⟨hal-00714239v2⟩