Nernst–Planck equation
Selective transport through a model calcium channel studied by Local Equilibrium Monte Carlo simulations coupled to the Nernst Planck equation
... Poisson's equation is the dominant problem in the case of semiconductors, which is performed with great precision for fi nite size systems modeling the various devices prescribing appropriate BC at the boundary of ...
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Steady-State Electrodiffusion from the Nernst Planck Equation Coupled to Local Equilibrium Monte Carlo Simulations Dezso Boda and Dirk Gillespie
... the Nernst − Planck (NP) equation of ...NP equation and to establish a relation between the concentration and electrochemical potential profiles, we introduce the Local Equilibrium Monte Carlo ...
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Parametric investigation of the Nernst–Planck model and Maxwell’s equations for a viscous fluid between squeezing plates
... Poisson–Boltzmann equation. The Poisson–Boltzmann equation is derived from the assumption of thermodynamic equilibrium where the ionic distribution is not affected by fluid ...the Nernst–Planck ...
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Derivation of Poisson and Nernst-Planck equations in a bath and channel from a molecular model
... Poisson equation, however, contains con- ditional charge densities, rather than the unconditional charge densities present in the Nernst-Planck equation just ...
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A Conservative Finite Difference Scheme for Poisson-Nernst-Planck Equations
... the Nernst-Planck equation (which describes the diffusion of ions under the effect of an electric potential) with the Poisson equation (which relates charge density with electric ...
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Fractional cable equation models for anomalous electrodiffusion in nerve cells: finite domain solutions
... possibility for modeling anomalous electrodiffusion of ions is to use a modified Nernst– Planck equation with the diffusion constant replaced by an fBm or CTRW fractional temporal operator. We ...
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A Conservative Finite Difference Scheme for Poisson-Nernst-Planck Equations
... the Nernst-Planck equation (which describes the diffusion of ions under the effect of an electric potential) with the Poisson equation (which relates charge density with electric ...
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Fractional Calculus in Electrical Impedance Spectroscopy: Poisson – Nernst – Planck model and Extensions
... We review some analytical results obtained in the context of the fractional calculus for the electrical spectroscopy impedance, a technique usually employed to interpret experimental data regarding the electrical ...
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A Parallel Finite Element Simulator for Ion Transport through Three-dimensional Ion Channel Systems
... By comparing the primitive and the transformed formulations of the PNP equations applied to gA system, it is found that the number of iterations between the Poisson equation and the NP equations is significantly ...
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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 electrons in ...
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Development of the Electrochemical Impedance Response of Ideally Polarized Interfaces Based on Transport Phenomena Laws Through the Nernst-Planck-Poisson Equation Linearized by the Debye-Falkenhagen Approximation.
... Solution of NPP equations has been used under different approaches. For instance, the well- known solution of Poisson-Boltzmann equation is often used to calculate the potential profile in the diffuse layer ...
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Numerical methods for a Poisson-Nernst-Planck-Fermi model of biological ion channels
... The SG stability condition—a critical condition of the flux equation in implementation—is also extended to include the steric potential that is not present in classical PNP models. This stability condition ...
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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 system ...
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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] ...
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Multiple solutions of steady-state Poisson–Nernst–Planck equations with steric effects
... [33] Lu B and Zhou Y C 2012 Poisson–Nernst–Planck equations for simulating biomolecular diffusion-reaction processes II: size effects on ionic distributions and diffusion-reaction rates Biophys. J. 100 ...
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Numerical studies of the Fokker Planck equation
... When studying the collisional relaxation of a bi- Maxwellian distribution, in chapter 6 section 1, collisions between electrons and ions were ignored. Schamel has investigated the effect of unlike particle collisions ...
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Inertial effects in suspension dynamics
... A generalized Chapman-Enskog expansion was used to determine the phase-space probability density for an inertial suspension. The probability density was expanded in an infinite series of Hermite functions involving the ...
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AN ENERGETIC VARIATIONAL APPROACH FOR ION TRANSPORT
... In a dissipation system, the particle interactions attribute to both the free energy functional and dissipation functional. The coarse graining derivation of the Helmholtz free energy U − T S , or equivalently, the ...
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Singular perturbation analysis of the steady-state Poisson–Nernst–Planck system: Applications to ion channels
... In this paper we use singular perturbation techniques to analyse the steady-state PNP system for a channel with a general geometry and a piecewise constant permanent charge profile. Using a suitable transformation, we ...
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Numeric Solution of the Fokker Planck Kolmogorov Equation
... differential equation driven by Gaussian white noises is a Markov ...differential equation, the so-called Fokker-Planck-Kolmogorov (FPK) ...this equation so that the analyst must resort to ...
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