ArticleBiophysical journal1999
A lattice relaxation algorithm for three-dimensional Poisson-Nernst-Planck theory with application to ion transport through the gramicidin A channel.
Article in Biophysical journal, 1999. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 78 papers.
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Who cites it
78 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
- Electrodiffusion dynamics in the cardiomyocyte dyad at nano-scale resolution using the Poisson-Nernst-Planck (PNP) equations.PLoS computational biology · 2025Article
- Nernst equilibrium, rectification, and saturation: Insights into ion channel behavior.Biophysical journal · 2024Article
- Nernst Equilibrium, Rectification, and Saturation: Insights into Ion Channel Behavior.bioRxiv : the preprint server for biology · 2024Article
- Nano-scale solution of the Poisson-Nernst-Planck (PNP) equations in a fraction of two neighboring cells reveals the magnitude of intercellular electrochemical waves.PLoS computational biology · 2023Article
- Influence of fluid flows on electric double layers in evaporating colloidal sessile droplets.The European physical journal. E, Soft matter · 2022Article
- Computational methods and theory for ion channel research.Advances in physics: X · 2022Article
- Maxwell Equations without a Polarization Field, Using a Paradigm from Biophysics.Entropy (Basel, Switzerland) · 2021Article
- Rapid and Accurate Determination of Nanopore Ionic Current Using a Steric Exclusion Model.ACS sensors · 2019Article
- Scaling Behavior of Ionic Transport in Membrane Nanochannels.Nano letters · 2018Article
- Frontiers in biomolecular mesh generation and molecular visualization systems.Visual computing for industry, biomedicine, and art · 2018Review
- 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
- Simulating Current-Voltage Relationships for a Narrow Ion Channel Using the Weighted Ensemble Method.Journal of chemical theory and computation · 2015Article
- Numerical calculation of protein-ligand binding rates through solution of the Smoluchowski equation using smoothed particle hydrodynamics.BMC biophysics · 2015Article
- Selecting ions by size in a calcium channel: the ryanodine receptor case study.Biophysical journal · 2014Article
- A Stabilized Finite Element Method for Modified Poisson-Nernst-Planck Equations to Determine Ion Flow Through a Nanopore.Communications in computational physics · 2014Article
- Multiscale Multiphysics and Multidomain Models I: Basic Theory.Journal of theoretical & computational chemistry · 2013Article
- The role of passive calcium influx through the cell membrane in galvanotaxis.Cellular & molecular biology letters · 2013Article
- Interacting ions in biophysics: real is not ideal.Biophysical journal · 2013Review
18 more citing papers are in PubMed but not listed here.
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Authors and funding
4 authors.
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No grant is acknowledged in the PubMed record.
Abstract
A lattice relaxation algorithm is developed to solve the Poisson-Nernst-Planck (PNP) equations for ion transport through arbitrary three-dimensional volumes. Calculations of systems characterized by simple parallel plate and cylindrical pore geometries are presented in order to calibrate the accuracy of the method. A study of ion transport through gramicidin A dimer is carried out within this PNP framework. Good agreement with experimental measurements is obtained. Strengths and weaknesses of the PNP approach are discussed.
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