Qualitative properties of zero-current ionic flows via Poisson-Nernst-Planck systems with nonuniform ion sizes (Q2081970)

scientific article; zbMATH DE number 7595629

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English	Qualitative properties of zero-current ionic flows via Poisson-Nernst-Planck systems with nonuniform ion sizes	scientific article; zbMATH DE number 7595629

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instance of

scholarly article

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title

Qualitative properties of zero-current ionic flows via Poisson-Nernst-Planck systems with nonuniform ion sizes (English)

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author

Mingji Zhang

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published in

Discrete and Continuous Dynamical Systems. Series B

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publication date

30 September 2022

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zbMATH Keywords

PNP

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finite ion sizes

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diffusion coefficients

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ion valences

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zero-current ionic flows

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electroneutrality conditions

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MaRDI profile type

Publication

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full work available at URL

https://doi.org/10.3934/dcdsb.2022030

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cites work

Asymptotic Expansions of I-V Relations via a Poisson–Nernst–Planck System

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Mathematical studies of Poisson-Nernst-Planck model for membrane channels: finite ion size effects without electroneutrality boundary conditions

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Ion Flow through Narrow Membrane Channels: Part I

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Ion Flow through Narrow Membrane Channels: Part II

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

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Dynamics of ionic flows via Poisson-Nernst-Planck systems with local hard-sphere potentials: competition between cations

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Individual Flux Study via Steady-State Poisson--Nernst--Planck Systems: Effects from Boundary Conditions

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

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

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Current-Voltage Relations for Electrochemical Thin Films

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Inverse problems in ion channel modelling

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Inverse Problems Related to Ion Channel Selectivity

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Mathematical analysis of Poisson–Nernst–Planck models with permanent charges and boundary layers: studies on individual fluxes

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

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Relative dielectric constants and selectivity ratios in open ionic channels

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

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Geometric singular perturbation theory for ordinary differential equations

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A mathematical model for the hard sphere repulsion in ionic solutions

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

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

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Flux ratios and channel structures

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

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

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Q4847945

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Tracking invariant manifolds with differential forms in singularly perturbed systems

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Poisson-Nernst-Planck systems for ion flow with a local hard-sphere potential for ion size effects

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

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

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

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

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

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

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Ion size effects on individual fluxes via Poisson-Nernst-Planck systems with Bikerman's local hard-sphere potential: analysis without electroneutrality boundary conditions

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

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

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Singular perturbation analysis of the steady-state Poisson–Nernst–Planck system: Applications to ion channels

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A Poisson–Nernst–Planck Model for Biological Ion Channels—An Asymptotic Analysis in a Three-Dimensional Narrow Funnel

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

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Effects on I–V relations from small permanent charge and channel geometry via classical Poisson–Nernst–Planck equations with multiple cations

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Dynamics of classical Poisson-Nernst-Planck systems with multiple cations and boundary layers

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

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Asymptotic expansions and numerical simulations of I-V relations via a steady state Poisson-Nernst-Planck system

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Boundary layer effects on ionic flows via classical Poisson-Nernst-Planck systems

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Identifiers

zbMATH Open document ID

1505.34079

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Mathematics Subject Classification ID

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10.3934/DCDSB.2022030

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Sitelinks

Mathematics(1 entry)

mardi Publication:2081970