The influence of sodium and potassium dynamics on excitability, seizures, and the stability of persistent states: I. Single neuron dynamics
- 24 January 2009
- journal article
- research article
- Published by Springer Science and Business Media LLC in Journal of Computational Neuroscience
- Vol. 26 (2), 159-170
- https://doi.org/10.1007/s10827-008-0132-4
Abstract
In these companion papers, we study how the interrelated dynamics of sodium and potassium affect the excitability of neurons, the occurrence of seizures, and the stability of persistent states of activity. In this first paper, we construct a mathematical model consisting of a single conductance-based neuron together with intra- and extracellular ion concentration dynamics. We formulate a reduction of this model that permits a detailed bifurcation analysis, and show that the reduced model is a reasonable approximation of the full model. We find that competition between intrinsic neuronal currents, sodium-potassium pumps, glia, and diffusion can produce very slow and large-amplitude oscillations in ion concentrations similar to what is seen physiologically in seizures. Using the reduced model, we identify the dynamical mechanisms that give rise to these phenomena. These models reveal several experimentally testable predictions. Our work emphasizes the critical role of ion concentration homeostasis in the proper functioning of neurons, and points to important fundamental processes that may underlie pathological states such as epilepsy.Keywords
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This publication has 41 references indexed in Scilit:
- The influence of sodium and potassium dynamics on excitability, seizures, and the stability of persistent states: II. Network and glial dynamicsJournal of Computational Neuroscience, 2008
- Ion concentration dynamics: mechanisms for bursting and seizingBMC Neuroscience, 2008
- CanardsScholarpedia, 2007
- Interneuron and Pyramidal Cell Interplay During In Vitro Seizure-Like EventsJournal of Neurophysiology, 2006
- Effects of Potassium Concentration on Firing Patterns of Low‐Calcium Epileptiform Activity in Anesthetized Rat Hippocampus: Inducing of Persistent Spike ActivityEpilepsia, 2006
- Role of potassium lateral diffusion in non-synaptic epilepsy: A computational studyJournal of Theoretical Biology, 2006
- Potassium Model for Slow (2-3 Hz) In Vivo Neocortical Paroxysmal OscillationsJournal of Neurophysiology, 2004
- Depolarization Block of Neurons During Maintenance of Electrographic SeizuresJournal of Neurophysiology, 2003
- Diffusion heterogeneity and anisotropy in rat hippocampusNeuroReport, 1998
- The Dependency of the Pial Arterial and Arteriolar Resistance on the Perivascular H+ and K+ ConcentrationsEuropean Neurology, 1971