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A simple quantitative model of neuromodulation, Part I: Ion flow through neural ion channels

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Han,  Mertcan       
Dept. Physical Intelligence, Max Planck Institute for Intelligent Systems, Max Planck Society;
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Yildiz,  Erdost       
Dept. Physical Intelligence, Max Planck Institute for Intelligent Systems, Max Planck Society;

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Sitti,  Metin       
Dept. Physical Intelligence, Max Planck Institute for Intelligent Systems, Max Planck Society;
External Organizations;

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Citation

Werneck, L., Han, M., Yildiz, E., Keip, M.-A., Sitti, M., & Ortiz, M. (2024). A simple quantitative model of neuromodulation, Part I: Ion flow through neural ion channels. Journal of the Mechanics and Physics of Solids, 182: 105457. doi:10.1016/j.jmps.2023.105457.


Cite as: https://hdl.handle.net/21.11116/0000-0010-7888-E
Abstract
We develop a simple model of ionic current through neuronal membranes as a function of membrane potential and extracellular ion concentration. The model combines a simplified Poisson–Nernst–Planck (PNP) model of ion transport through individual ion channels with channel activation functions calibrated from ad hoc in-house experimental data. The simplified PNP model is validated against bacterial gramicidin A ion channel data. The calibrated model accounts for the transport of calcium, sodium, potassium, and chloride and exhibits remarkable agreement with the experimentally measured current–voltage curves for the differentiated human neural cells.