Poisson-Nernst-Planck
Numerical Methods for a Poisson-Nernst-Planck-Fermi Model
... or Poisson-Nernst- Planck (PNP) models of semiconductor devices and ion channels is large, in- cluding [1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22] and references ...the ...
35
Coupling Poisson–Nernst–Planck and density functional theory to calculate ion flux
... Ion transport between two baths of fixed ionic concentrations and applied electrostatic (ES) potential is analysed using a one-dimensional drift-diffusion (Poisson–Nernst–Planck, PNP) transport ...
17
Asymptotic Expansions of I-V Relations via a Poisson–Nernst–Planck System
... 4. Some remarks. We investigated higher order asymptotic expansion of the I-V relation for biological channels via a one-dimensional steady-state Poisson–Nernst–Planck system. For the case of two ...
20
Multiple solutions of steady-state Poisson-Nernst-Planck equations with steric effects
... state Poisson-Nernst- Planck equations with steric effects (PNP-steric equations) describe steady current through the open channel quite well, in a wide variety of ...
27
Multiple solutions of steady-state Poisson–Nernst–Planck equations with steric effects
... state Poisson–Nernst–Planck equations with steric effects (PNP-steric equations) describe steady current through the open channel quite well, in a wide variety of ...
28
Fractional Calculus in Electrical Impedance Spectroscopy: Poisson – Nernst – Planck model and Extensions
... The electrical spectroscopy impedance technique plays an important role from the experimental point of view to obtain information about the electrical properties of many different materials, in particular, those of ...
15
Numerical methods for a Poisson-Nernst-Planck-Fermi model of biological ion channels
... Numerical methods are proposed for an advanced Poisson-Nernst-Planck-Fermi (PNPF) model for studying ion transport through biological ion channels. PNPF contains many more correlations than most ...
16
Multiscale modeling of a rectifying bipolar nanopore : comparing Poisson Nernst Planck to Monte Carlo
... the Nernst-Planck (NP) equation to compute ion transport in the framework of the implicit-water electrolyte ...the Poisson-Boltzmann theory is used in the Poisson-Nernst-Planck ...
14
Do Bistable Steric Poisson Nernst Planck Models Describe Single- Channel Gating? Nir Gavish, Chun Liu, and Bob Eisenberg
... change. Poisson − Nernst − Planck (PNP) models of semiconductors, 14,15 and Fermi − Poisson models of open calcium channels are examples of consistent models 16,17 because they fi t data under ...
10
Singular perturbation analysis of the steady-state Poisson–Nernst–Planck system: Applications to ion channels
... The Poisson-Nernst-Planck (PNP) equations have been proposed as the basic continuum model for ion channels [10]. PNP is also known as the drift-diffusion equations in the semiconductor literature ...
20
Predicting Function from Structure Using the Poisson Nernst Planck Equations: Sodium Current in the Gramicidin A Channel
... We predict the sodium current through an ion channel of known structure s gramicidin A (gA) s using an electrostatic model of the ion channel and an electrodiffusion model of ion movement. We use three- dimensional (3D) ...
6
Reversal permanent charge and reversal potential: case studies via classical Poisson-Nernst-Planck models
... In this work, we are interested in effects of a simple profile of perma- nent charges on ionic flows. We determine when a permanent charge produces current reversal. We adopt the classical Poisson-Nernst- ...
36
Ion Permeation and Glutamate Residues Linked by Poisson-Nernst- Planck Theory in L-Type Calcium Channels
... extended Poisson-Nernst-Planck (PNP2) theory to compute (mean) Coulombic interactions and thus to examine the role of the mean field electrostatic interactions in producing current and ...
19
A Conservative Finite Difference Scheme for Poisson-Nernst-Planck Equations
... the Poisson-Nernst-Planck models are able to capture the transient, dynamical behavior of the system, and the numerical schemes employed are quite ...
25
A conservative finite difference scheme for Poisson–Nernst–Planck equations
... Although this work makes good progress in constructing an accurate method for solving the Poisson–Nernst–Planck equations numerically, there are many challenges remaining. First, one of them is to ...
15
A Conservative Finite Difference Scheme for Poisson-Nernst-Planck Equations
... the Poisson-Nernst- Planck models are able to capture the transient, dynamical behavior of the system, and the nu- merical schemes employed are quite ...
22
POISSON–NERNST–PLANCK SYSTEMS FOR ION CHANNELS WITH PERMANENT CHARGES
... Device equations are most useful when they predict complex behaviors realisti- cally while using only a few parameters with fixed values (that do not need to be changed to describe the complex behaviors). Fortunately, ...
35
Poisson-Nernst-Planck-Fermi theory for modeling biological ion channels
... A Poisson-Nernst-Planck-Fermi (PNPF) theory is developed for studying ionic transport through biological ion channels. Our goal is to deal with the finite size of particle using a Fermi like dis- ...
12
Poisson-Nernst-Planck-Fermi Theory for Ion Channels
... Abstract. A Poisson-Nernst-Planck-Fermi (PNPF) theory is developed for studying ionic transport through biological ion channels. Our goal is to deal with the finite size of particle using a Fermi ...
23
A Singular Perturbation Analysis of the Poisson-Nernst-Planck System Applications to Ionic Channels
... SQS lv/ ri frxuvh/ qrw wkh eh doo dqg hqg doo ri lrq shuphdwlrq wkhrulhv> lw kdv pdq| sureohpv1 Rqh vxfk sureohp lv wkdw lw lv qrw srvvleoh wr whoo krz wkh sdudphwhuv +iru h{dpsoh/ wkh s[r] ...
187