Flux ratios and channel structures
From MaRDI portal
Publication:2318451
DOI10.1007/s10884-017-9607-1zbMath1426.78011arXiv1612.08742OpenAlexW2567078728MaRDI QIDQ2318451
Bob Eisenberg, Weishi Liu, Shuguan Ji
Publication date: 15 August 2019
Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1612.08742
Physiological flows (76Z05) Motion of charged particles (78A35) Physiological flow (92C35) Electrochemistry (78A57)
Related Items (16)
Boundary layer effects on ionic flows via Poisson-Nernst-Planck systems with nonuniform ion sizes ⋮ Existence and local uniqueness of classical Poisson-Nernst-Planck systems with multi-component permanent charges and multiple cations ⋮ Dynamics of Poisson-Nernst-Planck Systems and Ionic Flows Through Ion Channels: A Review ⋮ Finite ion size effects on ionic flows via Poisson-Nernst-Planck systems: higher order contributions ⋮ Flux ratios for effects of permanent charges on ionic flows with three ion species: new phenomena from a case study ⋮ Reversal Potential and Reversal Permanent Charge With Unequal Diffusion Coefficients via Classical Poisson--Nernst--Planck Models ⋮ Reversal permanent charge and concentrations in ionic flows via Poisson-Nernst-Planck models ⋮ Permanent Charge Effects on Ionic Flow: A Numerical Study of Flux Ratios and Their Bifurcation ⋮ Small permanent charge effects on individual fluxes via Poisson-Nernst-Planck models with multiple cations ⋮ A flux ratio and a universal property of permanent charges effects on fluxes ⋮ Effects of Large Permanent Charges on Ionic Flows via Poisson--Nernst--Planck Models ⋮ Geometric singular perturbation approach to Poisson-Nernst-Planck systems with local hard-sphere potential: studies on zero-current ionic flows with boundary layers ⋮ Mathematical analysis of Poisson–Nernst–Planck models with permanent charges and boundary layers: studies on individual fluxes ⋮ Effects on I–V relations from small permanent charge and channel geometry via classical Poisson–Nernst–Planck equations with multiple cations ⋮ 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
Cites Work
- Poisson-Nernst-Planck systems for narrow tubular-like membrane channels
- Continuum solvation model: Computation of electrostatic forces from numerical solutions to the Poisson-Boltzmann equation
- 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
- A complete analysis of a classical Poisson-Nernst-Planck model for ionic flow
- 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
- Flux Theorems for Linear Multicomponent Diffusion
- Asymptotic Expansions of I-V Relations via a Poisson–Nernst–Planck System
- Flux-Ratio Theorems for Nonlinear Equations of Generalized Diffusion
- 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
- Monte Carlo Simulation Study of a System with a Dielectric Boundary: Application to Calcium Channel Selectivity
- 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
This page was built for publication: Flux ratios and channel structures
