Mathematical properties of pump-leak-cotransport models: Mathematical properties of pump-leak-cotransport

Models of ordinary differential equations are often used to describe the electrical, ionic and volumetric responses of cells to external stimuli. Although these cellular models are often solved numerically, rigorous evidence regarding their steady state solutions is scarce. In this work, we provide...

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Bibliographic Details
Published in:Journal of mathematical biology 2025, Vol.90 (1)
Main Authors: Ouellet, Vincent, Doyon, Nicolas, Godin, Antoine G., Marquet, Pierre
Format: Article
Language:English
Subjects:
Applications of Mathematics
Mathematical and Computational Biology
Mathematics
Mathematics and Statistics
Online Access:Get full text
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Summary:Models of ordinary differential equations are often used to describe the electrical, ionic and volumetric responses of cells to external stimuli. Although these cellular models are often solved numerically, rigorous evidence regarding their steady state solutions is scarce. In this work, we provide a formalism defining the conditions ensuring the existence and uniqueness of a steady-state solution in a large class of models including leak channels, a pump and cotransporters. Our work generalizes previous results and provides explicit conditions that a model must satisfy to guarantee the existence and uniqueness of a steady state.
ISSN:0303-6812
1432-1416
DOI:10.1007/s00285-024-02163-z