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The Influence of Sodium and Potassium Dynamics on Excitability, Seizures, and the Stability of Persistent States: II. Network and Glial Dynamics

2008/06/23 by Ghanim Ullah, John R. Cressman, Ullah, Ghanim +5
Neuroscience · Physics and Astronomy · #FOS: Biological sciences #Neural dynamics and brain function #Neurons and Cognition (q-bio.NC) #Neuroscience and Neuropharmacology Research #Quantitative Methods (q-bio.QM) #stochastic dynamics and bifurcation

paper · pdf · doi:10.48550/arxiv.0806.3741

openalex publication_date 2008/06/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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. We seek to study these dynamics with respect to the following compartments: neurons, glia, and extracellular space. We are particularly interested in the slower time-scale dynamics that determine overall excitability, and set the stage for transient episodes of persistent oscillations, working memory, or seizures. In this second of two companion papers, we present an ionic current network model composed of populations of Hodgkin-Huxley type excitatory and inhibitory neurons embedded within extracellular space and glia, in order to investigate the role of micro-environmental ionic dynamics on the stability of persistent activity. We show that these networks reproduce seizure-like activity if glial cells fail to maintain the proper micro-environmental conditions surrounding neurons, and produce several experimentally testable predictions. Our work suggests that the stability of persistent states to perturbation is set by glial activity, and that how the response to such perturbations decays or grows may be a critical factor in a variety of disparate transient phenomena such as working memory, burst firing in neonatal brain or spinal cord, up states, seizures, and cortical oscillations.

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