ArticleBiophysical journal2008
Computational modeling of three-dimensional electrodiffusion in biological systems: application to the node of Ranvier.
Article in Biophysical journal, 2008. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 36 papers.
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Who cites it
36 citing papers in PubMed.
- Accurate computation of ionic concentrations in the synaptic cleft requires the full Poisson-Nernst-Planck (PNP) equations.PLoS computational biology · 2026Article
- How do signals propagate in neuronal compartments? Insights from the Poisson-Nernst Planck model.Frontiers in cellular neuroscience · 2026Article
- Calcium dynamics in small spaces: Lessons learned from modeling in dendritic spines.Biophysical journal · 2025Review
- Differential behaviors of calcium-induced calcium release in one dimensional dendrite by Nernst-Planck equation, cable model and pure diffusion model.Cognitive neurodynamics · 2024Article
- Advanced neuroprosthetic electrode design optimized by electromagnetic finite element simulation: innovations and applications.Frontiers in bioengineering and biotechnology · 2024Review
- Cytoelectric coupling: Electric fields sculpt neural activity and "tune" the brain's infrastructure.Progress in neurobiology · 2023Article
- An Algorithm Based on a Cable-Nernst Planck Model Predicting Synaptic Activity throughout the Dendritic Arbor with Micron Specificity.Neuroinformatics · 2023Article
- 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
- Modelling dendritic spines with the finite element method, investigating the impact of geometry on electric and calcic responses.Journal of mathematical biology · 2020Article
- Diamond nanopillar arrays for quantum microscopy of neuronal signals.Neurophotonics · 2020Article
- Article
- Finite Element Simulation of Ionic Electrodiffusion in Cellular Geometries.Frontiers in neuroinformatics · 2020Article
- The roles of perineuronal nets and the perinodal extracellular matrix in neuronal function.Nature reviews. Neuroscience · 2019Review
- Sensitivity analysis of the Poisson Nernst-Planck equations: a finite element approximation for the sensitive analysis of an electrodiffusion model.Journal of mathematical biology · 2019Article
- Location Specificity of Transcranial Electrical Stimulation on Neuronal Electrodynamics: A Mathematical Model of Ion Channel Gating Dynamics and Ionic Flux Due to Neurostimulation.Frontiers in computational neuroscience · 2019Article
- A Kirchhoff-Nernst-Planck framework for modeling large scale extracellular electrodiffusion surrounding morphologically detailed neurons.PLoS computational biology · 2018Article
- Article
- Electrodiffusion phenomena in neuroscience: a neglected companion.Nature reviews. Neuroscience · 2017Review
- Electrostatics of non-neutral biological microdomains.Scientific reports · 2017Article
Corrections and comments
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Authors and funding
7 authors.
Funding
Abstract
A computational model is presented for the simulation of three-dimensional electrodiffusion of ions. Finite volume techniques were used to solve the Poisson-Nernst-Planck equation, and a dual Delaunay-Voronoi mesh was constructed to evaluate fluxes of ions, as well as resulting electric potentials. The algorithm has been validated and applied to a generalized node of Ranvier, where numerical results for computed action potentials agree well with cable model predictions for large clusters of voltage-gated ion channels. At smaller channel clusters, however, the three-dimensional electrodiffusion predictions diverge from the cable model predictions and show a broadening of the action potential, indicating a significant effect due to each channel's own local electric field. The node of Ranvier complex is an elaborate organization of membrane-bound aqueous compartments, and the model presented here represents what we believe is a significant first step in simulating electrophysiological events with combined realistic structural and physiological data.
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Registered trials
Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.