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Poisson-Nernst-Planck(PNP) Equations

A conservative finite difference scheme for Poisson–Nernst–Planck equations

A conservative finite difference scheme for Poisson–Nernst–Planck equations

... the PoissonNernstPlanck (PNP) ...solving PNP equations, second-order accurate in both space and ...nonlinear equations resulting from discretizing the equations ...

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A Conservative Finite Difference Scheme for Poisson-Nernst-Planck Equations

A Conservative Finite Difference Scheme for Poisson-Nernst-Planck Equations

... The Poisson-Nernst-Planck(PNP) equations describe the diffusion of ions under the effect of an electric field that is itself caused by those same ...the Nernst-Planck ...

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A Conservative Finite Difference Scheme for Poisson-Nernst-Planck Equations

A Conservative Finite Difference Scheme for Poisson-Nernst-Planck Equations

... the Poisson-Nernst-Planck(PNP) ...solving PNP equations, second-order accurate in both space and ...nonlinear equations resulting from discretizing the equations ...

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Multiple solutions of steady-state Poisson-Nernst-Planck equations with steric effects

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 ...state ...

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Multiple solutions of steady-state Poisson–Nernst–Planck equations with steric effects

Multiple solutions of steady-state Poisson–Nernst–Planck equations with steric effects

... state PoissonNernstPlanck equations with steric effects (PNP-steric equations) describe steady current through the open channel quite well, in a wide variety of ...state ...

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A MATHEMATICAL MODEL FOR THE HARD SPHERE REPULSION IN IONIC SOLUTIONS

A MATHEMATICAL MODEL FOR THE HARD SPHERE REPULSION IN IONIC SOLUTIONS

... ‘Euler-Lagrange’ equations) that includes contributions from the repulsive ...differential equations is a modification of the Poisson-Nernst-Planck (PNP) equations widely ...

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Predicting Function from Structure Using the Poisson Nernst Planck Equations: Sodium Current in the Gramicidin A Channel

Predicting Function from Structure Using the Poisson Nernst Planck Equations: Sodium Current in the Gramicidin A Channel

... distribution is not zero where gA is); the bath and the pore region to a fixed dielectric constant of 80. Water molecules are not treated explicitly, but as a continuum of a dielectric constant 80. The pore region is ...

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A Parallel Finite Element Simulator for Ion Transport through Three-dimensional Ion Channel Systems

A Parallel Finite Element Simulator for Ion Transport through Three-dimensional Ion Channel Systems

... of Poisson-Nernst-Planck (PNP) equations that describe the electrodiffusion process of ion transport, and a mesh generation tools chain for ion channel systems, which is an essential ...

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Singular perturbation analysis of the steady-state Poisson–Nernst–Planck system: Applications to ion channels

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 ...

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A MATHEMATICAL MODEL FOR THE HARD SPHERE REPULSION IN IONIC SOLUTIONS

A MATHEMATICAL MODEL FOR THE HARD SPHERE REPULSION IN IONIC SOLUTIONS

... differential equations is a modification of the Poisson-Nernst-Planck (PNP) equations widely if not universally used to describe the drift-diffusion of electrons and holes in ...

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Asymptotic Expansions of I-V Relations via a Poisson–Nernst–Planck System

Asymptotic Expansions of I-V Relations via a Poisson–Nernst–Planck System

... the PNP system describes current flow through a single channel, and the FitzHugh–Nagumo equations (like the Hodgkin–Huxley system) describe an ensemble of channels in a biological ...FitzHugh–Nagumo ...

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POISSON–NERNST–PLANCK SYSTEMS FOR ION CHANNELS WITH PERMANENT CHARGES

POISSON–NERNST–PLANCK SYSTEMS FOR ION CHANNELS WITH PERMANENT CHARGES

... steady-state Poisson-Nernst- Planck (PNP) system is a useful representation of these devices, but experience shows that describing the reservoirs as boundary conditions is ...the PNP ...

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Do Bistable Steric Poisson Nernst Planck Models Describe Single- Channel Gating? Nir Gavish, Chun Liu, and Bob Eisenberg

Do Bistable Steric Poisson Nernst Planck Models Describe Single- Channel Gating? Nir Gavish, Chun Liu, and Bob Eisenberg

... change. PoissonNernstPlanck (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 ...

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Quasi-incompressible Multi-species Ionic Fluid Models

Quasi-incompressible Multi-species Ionic Fluid Models

... transport equations for the ions, which lead to different rates of energy ...classical Poisson-Nernst-Planck (PNP) model with the size effect for ionic fluids when the densities of the ...

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AN ENERGETIC VARIATIONAL APPROACH FOR ION TRANSPORT

AN ENERGETIC VARIATIONAL APPROACH FOR ION TRANSPORT

... The Poisson-Nernst-Planck (PNP) sys- tem is one of the most extensively studied models for the transport of charged par- ticles in many physical and biological problems, such as free moving ...

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Coupling Poisson–Nernst–Planck and density functional theory to calculate ion flux

Coupling Poisson–Nernst–Planck and density functional theory to calculate ion flux

... (PoissonNernstPlanck, PNP) transport system designed to model biological ion ...integral–differential PNP/DFT equations is described and used to calculate flux through a ...

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FAST COMMUNICATION AN ENERGETIC VARIATIONAL APPROACH FOR ION TRANSPORT

FAST COMMUNICATION AN ENERGETIC VARIATIONAL APPROACH FOR ION TRANSPORT

... The Poisson-Nernst-Planck (PNP) system is one of the most extensively studied models for the transport of charged particles in many physical and biological prob- lems, such as free moving ...

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Numerical methods for a Poisson-Nernst-Planck-Fermi model of biological ion channels

Numerical methods for a Poisson-Nernst-Planck-Fermi model of biological ion channels

... (or Nernst-Planck) equations for flux calculations because it integrates the corresponding 1D initial value problem exactly at every grid point ...

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Numerical Methods for a Poisson-Nernst-Planck-Fermi Model

Numerical Methods for a Poisson-Nernst-Planck-Fermi Model

... algebraic equations resulting from a discretization of PNPF using Newton’s iteration on the coupled sys- tem, where the matrix size M corresponding to each PDE can easily grow to millions in 3D ...linearized ...

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Quasi-incompressible multi-species ionic fluid models

Quasi-incompressible multi-species ionic fluid models

... transport equations for the ions, which lead to different rates of energy ...classical Poisson-Nernst-Planck (PNP) model with the size effect for ionic fluids when the densities of the ...

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