ArticleBiophysical journal2000
Tests of continuum theories as models of ion channels. II. Poisson-Nernst-Planck theory versus brownian dynamics.
Article in Biophysical journal, 2000. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 61 papers.
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61 citing papers in PubMed.
- Molecular permeation through large pore channels: computational approaches and insights.The Journal of physiology · 2025Review
- Computational methods and theory for ion channel research.Advances in physics: X · 2022Article
- Molecular architecture of black widow spider neurotoxins.Nature communications · 2021Article
- The Selective Transport of Ions in Charged Nanopore with Combined Multi-Physics Fields.Materials (Basel, Switzerland) · 2021Article
- Diamond nanopillar arrays for quantum microscopy of neuronal signals.Neurophotonics · 2020Article
- A size-modified poisson-boltzmann ion channel model in a solvent of multiple ionic species: Application to voltage-dependent anion channel.Journal of computational chemistry · 2020Article
- Conic shapes have higher sensitivity than cylindrical ones in nanopore DNA sequencing.Scientific reports · 2018Article
- Membrane Position Dependency of the pKThe Journal of membrane biology · 2018Article
- Effects of Nanopore Charge Decorations on the Translocation Dynamics of DNA.Biophysical journal · 2017Article
- Diffusion of Charged Species in Liquids.Scientific reports · 2016Article
- Influence of concentration polarization on DNA translocation through a nanopore.Physical review. E · 2016Article
- Coupling all-atom molecular dynamics simulations of ions in water with Brownian dynamics.Proceedings. Mathematical, physical, and engineering sciences · 2016Article
- Simulating Current-Voltage Relationships for a Narrow Ion Channel Using the Weighted Ensemble Method.Journal of chemical theory and computation · 2015Article
- Selecting ions by size in a calcium channel: the ryanodine receptor case study.Biophysical journal · 2014Article
- Diffusion driven selectivity in organic electrochemical transistors.Scientific reports · 2014Article
- Paradoxical one-ion pore behavior of the long β-helical peptide of marine cytotoxic polytheonamide B.Scientific reports · 2014Article
- Modeling and simulation of ion channels.Chemical reviews · 2012Review
- Molecular dynamics simulations of membrane proteins.Biophysical reviews · 2012Review
- Extracellular electrical signals in a neuron-surface junction: model of heterogeneous membrane conductivity.European biophysics journal : EBJ · 2012Article
- Rectification of the current in alpha-hemolysin pore depends on the cation type: the alkali series probed by MD simulations and experiments.The journal of physical chemistry. C, Nanomaterials and interfaces · 2011Article
1 more citing papers are in PubMed but not listed here.
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Abstract
We test the validity of the mean-field approximation in Poisson-Nernst-Planck theory by contrasting its predictions with those of Brownian dynamics simulations in schematic cylindrical channels and in a realistic potassium channel. Equivalence of the two theories in bulk situations is demonstrated in a control study. In simple cylindrical channels, considerable differences are found between the two theories with regard to the concentration profiles in the channel and its conductance properties. These differences are at a maximum in narrow channels with a radius smaller than the Debye length and diminish with increasing radius. Convergence occurs when the channel radius is over 2 Debye lengths. These tests unequivocally demonstrate that the mean-field approximation in the Poisson-Nernst-Planck theory breaks down in narrow ion channels that have radii smaller than the Debye length.
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