ArticlePLoS computational biology2013
Electrodiffusive model for astrocytic and neuronal ion concentration dynamics.
Article in PLoS computational biology, 2013. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 37 papers.
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37 citing papers in PubMed, 81 citations in OpenAlex.
- The electrofluidic brain as a basement layer for neural computation.Communications biology · 2026Review
- Use-dependent regulation of the axonal action potential in parvalbumin-expressing interneurons.bioRxiv : the preprint server for biology · 2026Article
- Modular Model of Neuronal Activity That Captures the Dynamics of Main Molecular Targets of Antiepileptic Drugs.International journal of molecular sciences · 2026Article
- Current Flow in Nerves and Mitochondria: An Electro-Osmotic Approach.Biomolecules · 2025Review
- Investigate channel rectifications and neural dynamics by an electrodiffusive Gauss-Nernst-Planck approach.PLoS computational biology · 2025Article
- An Empirical-Theoretical Approach to Determine Astroglial Potassium Upon Ischemic Stress.Methods in molecular biology (Clifton, N.J.) · 2025Article
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- An electrodiffusive network model with multicompartmental neurons and synaptic connections.PLoS computational biology · 2024Article
- Analysis of potassium ion diffusion from neurons to capillaries: Effects of astrocyte endfeet geometry.The European journal of neuroscience · 2024Article
- Quantifying human gray matter microstructure using neurite exchange imaging (NEXI) and 300 mT/m gradients.Imaging neuroscience (Cambridge, Mass.) · 2024Article
- Neural activity induces strongly coupled electro-chemo-mechanical interactions and fluid flow in astrocyte networks and extracellular space-A computational study.PLoS computational biology · 2023Article
- Slow ion concentration oscillations and multiple states in neuron-glia interaction-insights gained from reduced mathematical models.Frontiers in network physiology · 2023Article
- Cerebrospinal Fluid Flow.Annual review of fluid mechanics · 2023Article
- The glymphatic system: Current understanding and modeling.iScience · 2022Review
- Changes in Astroglial KInternational journal of molecular sciences · 2022Article
- Computing Extracellular Electric Potentials from Neuronal Simulations.Advances in experimental medicine and biology · 2022Article
- An electrodiffusive neuron-extracellular-glia model for exploring the genesis of slow potentials in the brain.PLoS computational biology · 2021Article
- Dysregulation of Astrocyte Ion Homeostasis and Its Relevance for Stroke-Induced Brain Damage.International journal of molecular sciences · 2021Review
- Neuromodulation of Astrocytic KInternational journal of molecular sciences · 2021Article
- A Computational Study of Astrocytic GABA Release at the Glutamatergic Synapse: EAAT-2 and GAT-3 Coupled Dynamics.Frontiers in cellular neuroscience · 2021Article
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5 authors at 1 institution in 1 country.
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No grant is acknowledged in the PubMed record.
Abstract
The cable equation is a proper framework for modeling electrical neural signalling that takes place at a timescale at which the ionic concentrations vary little. However, in neural tissue there are also key dynamic processes that occur at longer timescales. For example, endured periods of intense neural signaling may cause the local extracellular K(+)-concentration to increase by several millimolars. The clearance of this excess K(+) depends partly on diffusion in the extracellular space, partly on local uptake by astrocytes, and partly on intracellular transport (spatial buffering) within astrocytes. These processes, that take place at the time scale of seconds, demand 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. Here, we present a general electrodiffusive formalism for modeling of ion concentration dynamics in a one-dimensional geometry, including both the intra- and extracellular domains. Based on the Nernst-Planck equations, this formalism ensures that the membrane potential and ion concentrations are in consistency, it ensures global particle/charge conservation and it accounts for diffusion and concentration dependent variations in resistivity. We apply the formalism to a model of astrocytes exchanging ions with the extracellular space. The simulations show that K(+)-removal from high-concentration regions is driven by a local depolarization of the astrocyte membrane, which concertedly (i) increases the local astrocytic uptake of K(+), (ii) suppresses extracellular transport of K(+), (iii) increases axial transport of K(+) within astrocytes, and (iv) facilitates astrocytic relase of K(+) in regions where the extracellular concentration is low. Together, these mechanisms seem to provide a robust regulatory scheme for shielding the extracellular space from excess K(+).
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