Ion Flow through Narrow Membrane Channels: Part II
From MaRDI portal
Publication:4020397
DOI10.1137/0152081zbMath0753.35105OpenAlexW4249698154MaRDI QIDQ4020397
Victor Barcilon, Duan-Pin Chen, Robert S. Eisenberg
Publication date: 16 January 1993
Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/0152081
PDEs in connection with optics and electromagnetic theory (35Q60) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Physiological flows (76Z05) Motion of charged particles (78A35) Physiological flow (92C35)
Related Items (42)
A multigrid method for the Poisson-Nernst-Planck equations ⋮ One-dimensional steady-state Poisson-Nernst-Planck systems for ion channels with multiple ion species ⋮ Qualitative properties of ionic flows via Poisson-Nernst-Planck systems with Bikerman's local hard-sphere potential: ion size effects ⋮ A quantum corrected Poisson-Nernst-Planck model for biological ion channels ⋮ Biological transportation networks: Modeling and simulation ⋮ Non-localness of excess potentials and boundary value problems of Poisson-Nernst-Planck systems for ionic flow: a case study ⋮ Boundary layer effects on ionic flows via Poisson-Nernst-Planck systems with nonuniform ion sizes ⋮ 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 ⋮ Asymptotic Analysis on Dielectric Boundary Effects of Modified Poisson--Nernst--Planck Equations ⋮ Poisson-Nernst-Planck systems for narrow tubular-like membrane channels ⋮ Analysis of the Poisson-Nernst-Planck equation in a ball for modeling the voltage-current relation in neurobiological microdomains ⋮ 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 ⋮ 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 ⋮ Fractional Poisson-Nernst-Planck model for ion channels. I: Basic formulations and algorithms ⋮ Effects of ion sizes on Poisson–Nernst–Planck systems with multiple ions ⋮ 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 ⋮ Individual Flux Study via Steady-State Poisson--Nernst--Planck Systems: Effects from Boundary Conditions ⋮ Asymptotic expansions and numerical simulations of I-V relations via a steady state Poisson-Nernst-Planck system ⋮ Reversal Potential and Reversal Permanent Charge With Unequal Diffusion Coefficients via Classical Poisson--Nernst--Planck Models ⋮ Dynamics of classical Poisson-Nernst-Planck systems with multiple cations and boundary layers ⋮ Computational Study on Hysteresis of Ion Channels: Multiple Solutions to Steady-State Poisson-Nernst-Planck Equations ⋮ A complete analysis of a classical Poisson-Nernst-Planck model for ionic flow ⋮ Electro-osmotic transport in charged cylindrical micro- and nano-channels ⋮ Second-order Poisson-Nernst-Planck solver for ion transport ⋮ Small permanent charge effects on individual fluxes via Poisson-Nernst-Planck models with multiple cations ⋮ Global dynamics and zero-diffusion limit of a parabolic-elliptic-parabolic system for ion transport networks ⋮ Formation of clumps and patches in self-aggregation of finite-size particles ⋮ Three-dimensional simulation of biological ion channels under mechanical, thermal and fluid forces ⋮ Boundary layer effects on ionic flows via classical Poisson-Nernst-Planck systems ⋮ A flux ratio and a universal property of permanent charges effects on fluxes ⋮ Mathematical studies of Poisson-Nernst-Planck model for membrane channels: finite ion size effects without electroneutrality boundary conditions ⋮ Flux ratios and channel structures ⋮ 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 ⋮ Eigenvalues of the one-dimensional Smoluchowski equation.
This page was built for publication: Ion Flow through Narrow Membrane Channels: Part II