Abstract
In processes where ionic concentrations vary significantly, the standard cable equation fails to accurately predict the transmembrane potential. Such processes call for a mathematical description able to account for the spatiotemporal variations in ion concentrations as well as the subsequent effects of these variations on the membrane potential. We here derive a general electrodiffusive formalism for consistently modeling the dynamics of ion concentration and the transmembrane potential in a one-dimensional geometry, including both the intra- and extracellular domains. Unlike standard cable theory, the electrodiffusive formalism accounts for diffusive currents and concentration-dependent variation of the longitudinal resistivities.
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Acknowledgements
The project was supported by the Research Council of Norway (eVITA program; project numbers 178892 and 178901), and EU Grant 269921 (BrainScaleS).
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Halnes, G., Østby, I., Pettersen, K.H., Omholt, S.W., Einevoll, G.T. (2015). An Electrodiffusive Formalism for Ion Concentration Dynamics in Excitable Cells and the Extracellular Space Surrounding Them. In: Liljenström, H. (eds) Advances in Cognitive Neurodynamics (IV). Advances in Cognitive Neurodynamics. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-9548-7_50
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DOI: https://doi.org/10.1007/978-94-017-9548-7_50
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