ArticlePhysical review. E, Statistical, nonlinear, and soft matter physics2011
Mean-field description of ionic size effects with nonuniform ionic sizes: a numerical approach.
Article in Physical review. E, Statistical, nonlinear, and soft matter physics, 2011. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 20 papers.
What it found
Each row is one number read from the abstract, on the scale the paper reported it, with its interval. Left of the dashed line favours the treatment, right favours the comparator. Under each row is the sentence it came from. New to these charts? A ten-minute tutorial.
The abstract states no effect estimate the extractor could read, or names no intervention and outcome on the map, so this paper lights no cell and moves no belief. It is still indexed, cited and linked below.
The trial behind it
Trials whose registry record cites this paper, or whose number appears in the abstract. A trial that started after this paper was published is citing it as background, not reporting it.
Neither the registry nor the abstract names a trial number. If this is a trial report, that itself is worth knowing.
Who cites it
20 citing papers in PubMed.
- Structural Changes beyond the EF-Hand Contribute to Apparent Calcium Binding Affinities: Insights from Parvalbumins.The journal of physical chemistry. B · 2021Article
- Molecular Mean-Field Theory of Ionic Solutions: A Poisson-Nernst-Planck-Bikerman Model.Entropy (Basel, Switzerland) · 2020Review
- Diffuse double-layer structure in mixed electrolytes considering ions as dielectric spheres.The European physical journal. E, Soft matter · 2018Article
- Competitive interaction of monovalent cations with DNA from 3D-RISM.Nucleic acids research · 2015Article
- Poisson-Boltzmann versus Size-Modified Poisson-Boltzmann Electrostatics Applied to Lipid Bilayers.The journal of physical chemistry. B · 2014Article
- Variational Implicit Solvation with Poisson-Boltzmann Theory.Journal of chemical theory and computation · 2014Article
- Sensitivities to parameterization in the size-modified Poisson-Boltzmann equation.The Journal of chemical physics · 2014Article
- Gradient Models in Molecular Biophysics: Progress, Challenges, Opportunities.Journal of the mechanical behavior of materials · 2013Article
- Ionic Size Effects: Generalized Boltzmann Distributions, Counterion Stratification, and Modified Debye Length.Nonlinearity · 2013Article
- Interacting ions in biophysics: real is not ideal.Biophysical journal · 2013Review
- Evaluation of Hydration Free Energy by Level-Set Variational Implicit-Solvent Model with Coulomb-Field Approximation.Journal of chemical theory and computation · 2013Article
- Motion of a Cylindrical Dielectric Boundary.SIAM journal on applied mathematics · 2013Article
- Formulation of a new and simple nonuniform size-modified Poisson-Boltzmann description.Journal of computational chemistry · 2012Article
- Quantum dynamics in continuum for proton transport--generalized correlation.The Journal of chemical physics · 2012Article
- Competitive adsorption and ordered packing of counterions near highly charged surfaces: From mean-field theory to Monte Carlo simulations.Physical review. E, Statistical, nonlinear, and soft matter physics · 2012Article
- Level-Set Variational Implicit-Solvent Modeling of Biomolecules with the Coulomb-Field Approximation.Journal of chemical theory and computation · 2012Article
- Yukawa-Field Approximation of Electrostatic Free Energy and Dielectric Boundary Force.Nonlinearity · 2011Article
- Dielectric Boundary Force in Molecular Solvation with the Poisson-Boltzmann Free Energy: A Shape Derivative Approach.SIAM journal on applied mathematics · 2011Article
- MEAN-FIELD THEORY AND COMPUTATION OF ELECTROSTATICS WITH IONIC CONCENTRATION DEPENDENT DIELECTRICS.Communications in mathematical sciencesArticle
- DIFFUSED SOLUTE-SOLVENT INTERFACE WITH POISSON-BOLTZMANN ELECTROSTATICS: FREE-ENERGY VARIATION AND SHARP-INTERFACE LIMIT.SIAM journal on applied mathematicsArticle
Corrections and comments
PubMed lists nothing against this paper. Absence here is not a guarantee, only a check that was made.
Authors and funding
3 authors.
Funding
Abstract
Ionic size effects are significant in many biological systems. Mean-field descriptions of such effects can be efficient but also challenging. When ionic sizes are different, explicit formulas in such descriptions are not available for the dependence of the ionic concentrations on the electrostatic potential, that is, there is no explicit Boltzmann-type distributions. This work begins with a variational formulation of the continuum electrostatics of an ionic solution with such nonuniform ionic sizes as well as multiple ionic valences. An augmented Lagrange multiplier method is then developed and implemented to numerically solve the underlying constrained optimization problem. The method is shown to be accurate and efficient, and is applied to ionic systems with nonuniform ionic sizes such as the sodium chloride solution. Extensive numerical tests demonstrate that the mean-field model and numerical method capture qualitatively some significant ionic size effects, particularly those for multivalent ionic solutions, such as the stratification of multivalent counterions near a charged surface. The ionic valence-to-volume ratio is found to be the key physical parameter in the stratification of concentrations. All these are not well described by the classical Poisson-Boltzmann theory, or the generalized Poisson-Boltzmann theory that treats uniform ionic sizes. Finally, various issues such as the close packing, limitation of the continuum model, and generalization of this work to molecular solvation are discussed.
Indexed as
Identifiers
What OpenQuestion holds
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.