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

DOI10.3934/mbe.2020210zbMath1467.92254OpenAlexW3028220928WikidataQ100312468 ScholiaQ100312468MaRDI QIDQ2038769

Peter W. Bates, Jianing Chen, Mingji Zhang

Publication date: 7 July 2021

Published in: Mathematical Biosciences and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/mbe.2020210

zbMATH Keywords

Bikerman's local hard-sphere potentialindividual fluxesselectivityPoisson-Nernst-Planck systemsion sizes

Mathematics Subject Classification ID

Classical flows, reactions, etc. in chemistry (92E20) PDEs in connection with biology, chemistry and other natural sciences (35Q92)

Related Items (9)

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 ⋮ Finite ion size effects on ionic flows via Poisson-Nernst-Planck systems: higher order contributions ⋮ Small permanent charge effects on individual fluxes via Poisson-Nernst-Planck models with multiple cations ⋮ 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

• Unnamed Item
• Unnamed Item
• A local approximation of fundamental measure theory incorporated into three dimensional Poisson-Nernst-Planck equations to account for hard sphere repulsion among ions
• A mathematical model for the hard sphere repulsion in ionic solutions
• Poisson-Nernst-Planck systems for narrow tubular-like membrane channels
• Finite element approximation to a finite-size modified Poisson-Boltzmann equation
• 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
• Geometric singular approach to Poisson-Nernst-Planck models with excess chemical potentials: ion size effects on individual fluxes
• 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
• A complete analysis of a classical Poisson-Nernst-Planck model for ionic flow
• 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
• Mathematical study of non-ideal electrostatic correlations in equilibrium electrolytes
• Ion steric effects on electrophoresis of a colloidal particle
• A Poisson–Nernst–Planck Model for Biological Ion Channels—An Asymptotic Analysis in a Three-Dimensional Narrow Funnel
• Continuum electrostatics for ionic solutions with non-uniform ionic sizes
• Asymptotic Expansions of I-V Relations via a Poisson–Nernst–Planck System
• Ion Flow through Narrow Membrane Channels: Part I
• Invariant Manifolds and Singularly Perturbed Boundary Value Problems
• Tracking Invariant Manifolds up to Exponentially Small Errors
• 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
• Inverse Problems Related to Ion Channel Selectivity
• Two- and three-dimensional Poisson--Nernst--Planck simulations of current flow through gramicidin A

This page was built for publication: Dynamics of ionic flows via Poisson-Nernst-Planck systems with local hard-sphere potentials: competition between cations