A coupled model for the dynamics of gas exchanges in the human lung with Haldane and Bohr's effects

Laurent Boudin (1) , Céline Grandmont (2, 1) , Bérénice Grec (3) , Sébastien Martin (3)

1 LJLL (UMR_7598) - Laboratoire Jacques-Louis Lions
2 COMMEDIA - COmputational Mathematics for bio-MEDIcal Applications
3 MAP5 - UMR 8145 - Mathématiques Appliquées Paris 5

We propose an integrated dynamical model for oxygen and carbon dioxide transfer from the lung into the blood, coupled with a lumped mechanical model for the ventilation process, for healthy patients as well as in pathological cases. In particular, we focus on the Bohr and Haldane effects, which induce a nonlinear coupling between the oxygen and the carbon dioxide. We also take into account the dead space volume, which requires a special attention in the pathological cases.

Domaines: Systèmes dynamiques [math.DS]; Pneumologie et système respiratoire

Laurent Boudin, Céline Grandmont, Bérénice Grec, Sébastien Martin. A coupled model for the dynamics of gas exchanges in the human lung with Haldane and Bohr's effects. Journal of Theoretical Biology, inPress, pp.111590. ⟨10.1016/j.jtbi.2023.111590⟩. ⟨hal-03883301v1⟩