Dynamics of Poisson-Nernst-Planck Systems and Ionic Flows Through Ion Channels: A Review (Q6122955)

scientific article; zbMATH DE number 7812198

Language	Label	Description	Also known as
English	Dynamics of Poisson-Nernst-Planck Systems and Ionic Flows Through Ion Channels: A Review	scientific article; zbMATH DE number 7812198

Statements

instance of

scholarly article

0 references

title

Dynamics of Poisson-Nernst-Planck Systems and Ionic Flows Through Ion Channels: A Review (English)

0 references

author

Weishi Liu

0 references

published in

Communications in Mathematical Research

0 references

publication date

4 March 2024

0 references

zbMATH Keywords

ion channel

0 references

ionic flow

0 references

Poisson-Nernst-Planck models

0 references

MaRDI profile type

MaRDI publication profile

0 references

full work available at URL

https://doi.org/10.4208/cmr.2022-0045

0 references

cites work

Ion Flow through Narrow Membrane Channels: Part I

0 references

Ion Flow through Narrow Membrane Channels: Part II

0 references

Qualitative Properties of Steady-State Poisson--Nernst--Planck Systems: Perturbation and Simulation Study

0 references

Ion size and valence effects on ionic flows via Poisson-Nernst-Planck models

0 references

Small permanent charge effects on individual fluxes via Poisson-Nernst-Planck models with multiple cations

0 references

Global Well-Posedness and Stability of Electrokinetic Flows

0 references

On the Nernst-Planck-Navier-Stokes system

0 references

Nernst-Planck-Navier-Stokes systems far from equilibrium

0 references

Interior electroneutrality in Nernst-Planck-Navier-Stokes systems

0 references

Q5067930

0 references

Poisson–Nernst–Planck Systems for Ion Channels with Permanent Charges

0 references

Relative dielectric constants and selectivity ratios in open ionic channels

0 references

Reversal permanent charge and reversal potential: case studies via classical Poisson–Nernst–Planck models

0 references

Mathematical study of non-ideal electrostatic correlations in equilibrium electrolytes

0 references

Permanent Charge Effects on Ionic Flow: A Numerical Study of Flux Ratios and Their Bifurcation

0 references

Energy variational approach to study charge inversion (layering) near charged walls

0 references

Continuum solvation model: Computation of electrostatic forces from numerical solutions to the Poisson-Boltzmann equation

0 references

Flux ratios and channel structures

0 references

Poisson-Nernst-Planck systems for ion flow with density functional theory for hard-sphere potential: I-V relations and critical potentials. I: Analysis

0 references

Effects of (Small) Permanent Charge and Channel Geometry on Ionic Flows via Classical Poisson--Nernst--Planck Models

0 references

Qualitative properties of ionic flows via Poisson-Nernst-Planck systems with Bikerman's local hard-sphere potential: ion size effects

0 references

Q4847945

0 references

Poisson--Nernst--Planck Systems for Ion Flow with a Local Hard-Sphere Potential for Ion Size Effects

0 references

A new approach to the Lennard-Jones potential and a new model: PNP-steric equations

0 references

Geometric Singular Perturbation Approach to Steady-State Poisson--Nernst--Planck Systems

0 references

One-dimensional steady-state Poisson-Nernst-Planck systems for ion channels with multiple ion species

0 references

A flux ratio and a universal property of permanent charges effects on fluxes

0 references

Poisson-Nernst-Planck systems for ion flow with density functional theory for hard-sphere potential: I-V relations and critical potentials. II: Numerics

0 references

Poisson-Nernst-Planck systems for narrow tubular-like membrane channels

0 references

A complete analysis of a classical Poisson-Nernst-Planck model for ionic flow

0 references

Reversal Potential and Reversal Permanent Charge With Unequal Diffusion Coefficients via Classical Poisson--Nernst--Planck Models

0 references

Qualitative Properties of Steady-State Poisson--Nernst--Planck Systems: Mathematical Study

0 references

Non-localness of excess potentials and boundary value problems of Poisson-Nernst-Planck systems for ionic flow: a case study

0 references

Flux ratios for effects of permanent charges on ionic flows with three ion species: new phenomena from a case study

0 references

Variational Multiscale Models for Charge Transport

0 references

Effects of Large Permanent Charges on Ionic Flows via Poisson--Nernst--Planck Models

0 references

Identifiers

Mathematics Subject Classification ID

0 references

0 references

0 references

0 references

0 references

0 references

10.4208/CMR.2022-0045

0 references

Sitelinks

Mathematics(1 entry)

mardi Publication:6122955