The Nernst-Planck equation
Selective transport through a model calcium channel studied by Local Equilibrium Monte Carlo simulations coupled to the Nernst Planck equation
... the Nernst – Planck equation and conservation of mass The LEMC technique provides discrete c i α output values for the discrete μ i α input ...
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Steady-State Electrodiffusion from the Nernst Planck Equation Coupled to Local Equilibrium Monte Carlo Simulations Dezso Boda and Dirk Gillespie
... NP equation provides an efficient way to study steady-state flux in systems modeled on the molecular ...s equation do not appear in the formalism, and we just iterate the usual chemical ...
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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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Parametric investigation of the Nernst–Planck model and Maxwell’s equations for a viscous fluid between squeezing plates
... micro-channels, there are some important cases where convective transport of ions has nontrivial effects. In these cases, it is necessary to adopt the Nernst–Planck equation instead of the ...
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Poisson-Nernst-Planck-Fermi Theory for Ion Channels
... in between these ions. Our numerical results can thus be verified with those of MD. Of course, our assumptions in the linear model should be modified if more accurate structural information can be used to provide an ...
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Numerical Methods for a Poisson-Nernst-Planck-Fermi Model
... differential equation to describe current flow, of the general Cahn-Hillard type, which has a richness of behavior beyond the usual second order PNP descrip- ...
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POISSON–NERNST–PLANCK SYSTEMS FOR ION CHANNELS WITH PERMANENT CHARGES
... device equation—might arise this way in systems including Ca 2+ or in systems with multiple regions of nonzero permanent charge, or in systems with branched, Y-shaped, or adjacent interacting ...
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A conservative finite difference scheme for Poisson–Nernst–Planck equations
... To our knowledge, relatively few studies describe numer- ical methods such as finite difference method, finite element method, finite volume method and many others for solv- ing partial differential equations (PDEs), ...
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A computational neuron model based on Poisson–Nernst–Planck theory
... (Received 1 August 2008; revised 17 September 2008) Abstract Modelling of the nerve impulse is often simplified to one spatial dimension, for example by using cable theory. In reality signals prop- agate in a complex ...
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Poisson-Nernst-Planck-Fermi theory for modeling biological ion channels
... The Coulomb forces between the binding ion and O 1/2 − ions should therefore be calculated in vacuum since nothing is in between these ions. Our numerical results can thus be verified with those of MD. Of course, our ...
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Continuum Simulations of Acetylcholine Consumption by Acetylcholinesterase: A Poisson-Nernst-Planck Approach
... SMOL equation to drive the diffusion of substrates, while the concentration profile of these charged diffusing substrates does not contribute to the electrostatic ...
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Fractional Calculus in Electrical Impedance Spectroscopy: Poisson – Nernst – Planck model and Extensions
... 7. CONCLUSION We have reviewed for the PNP – model some extensions based on the fractional calculus. The first extension has considered the presence of fractional time derivative of distributed order in the bulk ...
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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
... Poisson equation (9) that calculates the ES potential experienced by the permeating ...from equation (9) were used to calculate the electrochemical potential of the confined particles, then each confined ...
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Asymptotic Expansions of I-V Relations via a Poisson–Nernst–Planck System
... In the context of ion flow through a membrane channel, the flow of ions is driven by their concentration gradients and by the electric field modeled together by the Nernst–Planck con- tinuity equations, and ...
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Testing the Applicability of Nernst-Planck Theory in Ion Channels: Comparisons with Brownian Dynamics Simulations
... We note that the exact choice is not critical for this study provided a consistent set of parameters is used in both the BD and NP calculations. The current is determined directly from the number of ions passing through ...
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Multiscale modeling of a rectifying bipolar nanopore : comparing Poisson Nernst Planck to Monte Carlo
... NP equation either to LEMC simulations or to the PB ...Poisson’s equation is satisfied in both meth- ...NP equation instead of simulating ion transport directly, we need to compare to BD 32,33 ...
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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.
... Juarez 77, C.P 36000, Guanajuato, Mexico. * E-mail: [email protected]; [email protected] Received: 13 October 2015 / Accepted: 5 November 2015 / Published: 1 December 2015 Physicochemical description of ...
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Ion Permeation and Glutamate Residues Linked by Poisson-Nernst- Planck Theory in L-Type Calcium Channels
... ions in a pore will electrostatically interact with one another, regardless of their interactions with the pore wall. The PNP2 model does not make these ad hoc assumptions: the electric field in the pore, and the ...
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A POISSON–NERNST–PLANCK MODEL FOR BIOLOGICAL ION CHANNELS—AN ASYMPTOTIC ANALYSIS IN A THREE-DIMENSIONAL NARROW FUNNEL
... Abstract. We wish to predict ionic currents that flow through narrow protein channels of biological membranes in response to applied potential and concentration differences across the channel when some features of channel ...
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