Ionic permeabilities of the human red blood cell: insights of a simple mathematical model

Stéphane Égée (1, 2) , Marie Postel (3, 2) , Benoît Sarels (3, 2, 1)

1 LBI2M - Laboratoire de Biologie Intégrative des Modèles Marins
2 SU FSI - Sorbonne université - Faculté des Sciences et Ingénierie
3 LJLL (UMR_7598) - Laboratoire Jacques-Louis Lions

We are interested in the system of ion channels present at the membrane of the human red blood cell. The cell, under specific experimental circumstances, presents important variations of its membrane potential coupled to variations of the main ions' concentration ensuring its homeostasis. In this collaborative work between biologists and mathematicians a simple mathematical model is designed to explain experimental measurements of membrane potential and ion concentrations. Its construction is presented, as well as illustrative simulations and a calibration of the model on real data measurements. A sensitivity analysis of the model parameters is performed. The impact of blood sample storage on ion permeabilities is discussed.

Mots clés: Red blood cell; erythrocytes; ions transfer; permeability; ODE model; calibration

Domaines: Mathématiques [math]; Sciences du Vivant [q-bio]

Stéphane Égée, Marie Postel, Benoît Sarels. Ionic permeabilities of the human red blood cell: insights of a simple mathematical model. 2023. ⟨hal-04155871⟩