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.
Keywords: Red blood cell, erythrocytes, ions transfer, permeability, ODE model, calibration
Égée, Stéphane 1 ; Postel, Marie 2 ; Sarels, Benoît 2
CC-BY 4.0
@article{MSIA_2024__13_1_1_0,
author = {\'Eg\'ee, St\'ephane and Postel, Marie and Sarels, Beno{\^\i}t},
title = {Ionic permeabilities of the human red blood cell: insights of a simple mathematical model},
journal = {MathematicS In Action},
pages = {1--31},
year = {2024},
publisher = {Soci\'et\'e de Math\'ematiques Appliqu\'ees et Industrielles},
volume = {13},
number = {1},
doi = {10.5802/msia.39},
language = {en},
url = {https://www.numdam.org/articles/10.5802/msia.39/}
}
TY - JOUR AU - Égée, Stéphane AU - Postel, Marie AU - Sarels, Benoît TI - Ionic permeabilities of the human red blood cell: insights of a simple mathematical model JO - MathematicS In Action PY - 2024 SP - 1 EP - 31 VL - 13 IS - 1 PB - Société de Mathématiques Appliquées et Industrielles UR - https://www.numdam.org/articles/10.5802/msia.39/ DO - 10.5802/msia.39 LA - en ID - MSIA_2024__13_1_1_0 ER -
%0 Journal Article %A Égée, Stéphane %A Postel, Marie %A Sarels, Benoît %T Ionic permeabilities of the human red blood cell: insights of a simple mathematical model %J MathematicS In Action %D 2024 %P 1-31 %V 13 %N 1 %I Société de Mathématiques Appliquées et Industrielles %U https://www.numdam.org/articles/10.5802/msia.39/ %R 10.5802/msia.39 %G en %F MSIA_2024__13_1_1_0
Égée, Stéphane; Postel, Marie; Sarels, Benoît. Ionic permeabilities of the human red blood cell: insights of a simple mathematical model. MathematicS In Action, Tome 13 (2024) no. 1, pp. 1-31. doi: 10.5802/msia.39
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