Studies on current-voltage relations via Poisson-Nernst-Planck systems with multiple cations and permanent charges

Geometric methods in ordinary differential equations (34A26) Singular perturbations of ordinary differential equations (34D15) Invariant manifold theory for dynamical systems (37D10) Singular nonlinear boundary value problems for ordinary differential equations (34B16) Physiological flow (92C35)

Cites Work

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A mathematical model for the hard sphere repulsion in ionic solutions
A flux ratio and a universal property of permanent charges effects on fluxes
Poisson-Nernst-Planck systems for ion flow with density functional theory for hard-sphere potential: I-V relations and critical potentials. I: Analysis
Small permanent charge effects on individual fluxes via Poisson-Nernst-Planck models with multiple cations
Dynamics of ionic flows via Poisson-Nernst-Planck systems with local hard-sphere potentials: competition between cations
Boundary layer effects on ionic flows via Poisson-Nernst-Planck systems with nonuniform ion sizes
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
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
Ion Flow through Narrow Membrane Channels: Part I
Qualitative Properties of Steady-State Poisson--Nernst--Planck Systems: Mathematical Study
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
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
Reversal permanent charge and reversal potential: case studies via classical Poisson–Nernst–Planck models
Studies on individual fluxes via Poisson-Nernst-Planck models with small permanent charges and partial electroneutrality conditions

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