Small permanent charge effects on individual fluxes via Poisson-Nernst-Planck models with multiple cations
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Publication:2022537
DOI10.1007/s00332-021-09715-3zbMath1472.34086OpenAlexW3159430506MaRDI QIDQ2022537
Peter W. Bates, Zhenshu Wen, Mingji Zhang
Publication date: 29 April 2021
Published in: Journal of Nonlinear Science (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00332-021-09715-3
Qualitative investigation and simulation of ordinary differential equation models (34C60) Motion of charged particles (78A35) Singular nonlinear boundary value problems for ordinary differential equations (34B16) Singular perturbations for ordinary differential equations (34E15) Physiological flow (92C35)
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Cites Work
- Unnamed Item
- 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
- Differential geometry based multiscale models
- 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
- Geometric singular perturbation theory for ordinary differential equations
- Tracking invariant manifolds with differential forms in singularly perturbed systems
- Non-localness of excess potentials and boundary value problems of Poisson-Nernst-Planck systems for ionic flow: a case study
- Relative dielectric constants and selectivity ratios in open ionic channels
- 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
- 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
- Invariant Manifolds and Singularly Perturbed Boundary Value Problems
- Qualitative Properties of Steady-State Poisson--Nernst--Planck Systems: Mathematical Study
- Qualitative Properties of Steady-State Poisson--Nernst--Planck Systems: Perturbation and Simulation Study
- Variational Multiscale Models for Charge Transport
- 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
- Poisson–Nernst–Planck Systems for Ion Channels with Permanent Charges
- Reversal permanent charge and reversal potential: case studies via classical Poisson–Nernst–Planck models
