Mathematical analysis of Poisson–Nernst–Planck models with permanent charges and boundary layers: studies on individual fluxes
From MaRDI portal
Publication:4997249
DOI10.1088/1361-6544/abf33azbMath1471.34086OpenAlexW3177153034MaRDI QIDQ4997249
Jianing Chen, Mingji Zhang, YiWei Wang, Li-jun Zhang
Publication date: 28 June 2021
Published in: Nonlinearity (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1088/1361-6544/abf33a
Nonlinear boundary value problems for ordinary differential equations (34B15) Qualitative investigation and simulation of ordinary differential equation models (34C60) Singular perturbations for ordinary differential equations (34E15) Physiological flow (92C35)
Related Items (5)
Boundary layer effects on ionic flows via Poisson-Nernst-Planck systems with nonuniform ion sizes ⋮ Finite ion size effects on ionic flows via Poisson-Nernst-Planck systems: higher order contributions ⋮ Geometric singular perturbation approach to Poisson-Nernst-Planck systems with local hard-sphere potential: studies on zero-current ionic flows with boundary layers ⋮ Studies on reversal permanent charges and reversal potentials via classical Poisson-Nernst-Planck systems with boundary layers ⋮ Qualitative properties of zero-current ionic flows via Poisson-Nernst-Planck systems with nonuniform ion sizes
Uses Software
Cites Work
- Qualitative properties of ionic flows via Poisson-Nernst-Planck systems with Bikerman's local hard-sphere potential: ion size effects
- A mathematical model for the hard sphere repulsion in ionic solutions
- Poisson-Nernst-Planck systems for narrow tubular-like membrane channels
- Energy variational approach to study charge inversion (layering) near charged walls
- Asymptotic expansions and numerical simulations of I-V relations via a steady state Poisson-Nernst-Planck system
- Ion size effects on individual fluxes via Poisson-Nernst-Planck systems with Bikerman's local hard-sphere potential: analysis without electroneutrality boundary conditions
- Boundary layer effects on ionic flows via classical Poisson-Nernst-Planck systems
- Poisson-Nernst-Planck systems for ion flow with density functional theory for hard-sphere potential: I-V relations and critical potentials. I: Analysis
- Poisson-Nernst-Planck systems for ion flow with density functional theory for hard-sphere potential: I-V relations and critical potentials. II: Numerics
- Dynamics of ionic flows via Poisson-Nernst-Planck systems with local hard-sphere potentials: competition between cations
- Dynamics of classical Poisson-Nernst-Planck systems with multiple cations and boundary layers
- A complete analysis of a classical Poisson-Nernst-Planck model for ionic flow
- Mathematical studies of Poisson-Nernst-Planck model for membrane channels: finite ion size effects without electroneutrality boundary conditions
- Flux ratios and channel structures
- Ion size and valence effects on ionic flows via Poisson-Nernst-Planck models
- One-dimensional steady-state Poisson-Nernst-Planck systems for ion channels with multiple ion species
- Poisson--Nernst--Planck Systems for Ion Flow with a Local Hard-Sphere Potential for Ion Size Effects
- Individual Flux Study via Steady-State Poisson--Nernst--Planck Systems: Effects from Boundary Conditions
- New Poisson–Boltzmann type equations: one-dimensional solutions
- Singular perturbation analysis of the steady-state Poisson–Nernst–Planck system: Applications to ion channels
- A Poisson–Nernst–Planck Model for Biological Ion Channels—An Asymptotic Analysis in a Three-Dimensional Narrow Funnel
- Asymptotic Expansions of I-V Relations via a Poisson–Nernst–Planck System
- Ion Flow through Narrow Membrane Channels: Part I
- Ion Flow through Narrow Membrane Channels: Part II
- Qualitative Properties of Steady-State Poisson--Nernst--Planck Systems: Mathematical Study
- Qualitative Properties of Steady-State Poisson--Nernst--Planck Systems: Perturbation and Simulation Study
- Effects of (Small) Permanent Charge and Channel Geometry on Ionic Flows via Classical Poisson--Nernst--Planck Models
- Geometric Singular Perturbation Approach to Steady-State Poisson--Nernst--Planck Systems
- Current-Voltage Relations for Electrochemical Thin Films
- Poisson–Nernst–Planck Systems for Ion Channels with Permanent Charges
- A BVP solver based on residual control and the Maltab PSE
- Reversal permanent charge and reversal potential: case studies via classical Poisson–Nernst–Planck models
- Two- and three-dimensional Poisson--Nernst--Planck simulations of current flow through gramicidin A
This page was built for publication: Mathematical analysis of Poisson–Nernst–Planck models with permanent charges and boundary layers: studies on individual fluxes
