A simple quantitative model of neuromodulation, Part I: Ion flow through neural ion channels
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1.
California Institute of Technology
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. All relevant data and code related to the ion flow models are available at Werneck et al. (2023).
Copyright and License
© 2023 Elsevier.
Acknowledgement
This work is funded by the German Research Foundation (Deutsche Forschungsgemeinschaft; DFG) within the Priority Program 2311, grant number 465186293, and the Max Planck Society. We furthermore gratefully acknowledge the support of the DFG under Germany's Excellence Strategy – EXC 2075 – 390740016. E.Y. has received funding from the European Union's Horizon 2020 research and innovation program under the Marie Skłodowska-Curie grant agreement no 101059593.
Data Availability
Data and code (programmed in MATLAB (The MathWorks Inc., 2021) R2021b) for the single-channel model and the full-axon transport model are available at DaRUS (Werneck et al., 2023).
Conflict of Interest
The authors declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper.
Additional details
- Deutsche Forschungsgemeinschaft
- 465186293
- Max Planck Society
- Deutsche Forschungsgemeinschaft
- EXC 2075 – 390740016
- European Research Council
- Marie Skłodowska-Curie fellowship 101059593
- Caltech groups
- GALCIT