[PDF] Top 20 Numerical Methods for a Poisson-Nernst-Planck-Fermi Model

... Abstract. Numerical methods are proposed for an advanced Poisson-Nernst- Planck-Fermi (PNPF) model for studying ion transport through biological ion ...This model ... See full document

... PNPF model consists of K + 2 PDEs (one fourth-order Poisson-Fermi and K + 1 second-order ...PNPF model incorporates these atomic properties and thus can provide more accurate simulations but ... See full document

... macroscopic model to describe the dynamics of ion transport in ion channels is the Poisson–Nernst– Planck (PNP) ...ensuring numerical methods to have the same physical properties ... See full document

... macroscopic model to describe the dynamics of ion transport in ion channels is the Poisson-Nernst-Planck(PNP) ...ensuring numerical methods to have the same physical properties ... See full document

... 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 ... See full document

... the Poisson-Nernst-Planck models are able to capture the transient, dynamical behavior of the system, and the numerical schemes employed are quite ...the numerical schemes in [6] is ... See full document

... the Poisson–Nernst–Planck (PNP) model (with a short history) for biological ion channels and then give our main results ...continuum model for open ion channels by Eisenberg and ... See full document

... the Poisson-Fermi theory developed in recent years treats ions and water molecules as nonuni- form hard spheres of any size with interstitial voids and includes ion-water and ion-ion ...a ... See full document

... microscopic model, we construct a model that contains the interactions between the par- ticles and the external constraints (hard walls, applied field, ...This model then can be studied with different ... See full document

... mathematical model for finite size (repulsive) effects in ionic solu- ...the Poisson-Nernst-Planck (PNP) equations widely if not universally used to describe the drift-diffusion of electrons ... See full document

... Santangelo’s model neatly encloses the near-field cor- relations in a far field Poisson equation and boundary conditions that allow flow when combined with a diffu- sion (Nernst-Planck) ... See full document

... potential. Numerical efficiency and theoretical analysis disappear when forced to deal with such singularities ...the model, we truncate the (spatial) frequency range of the LJ potential, find a simpler ... See full document

... the Fermi distribu- tion is shown to reduce to the Gibbs-Boltzmann functional for the classical Boltzmann distribution when both steric and correlation effects are not ... See full document

... the Poisson–Boltzmann (PB) theory of continuum models for a proper description of steric and correlation effects in electrolytes and ionic liquids ...the Poisson–Fermi (PF) equation in which both ... See full document

... mathematical model for the finite size (repulsive) effects in ionic ...the Poisson-Nernst-Planck (PNP) equations widely if not universally used to describe the drift-diffusion of electrons and ... See full document

... (DD) model in semiconductors, Eisenberg et ...the Poisson-Nernst-Planck (PNP) model to calcu- late rather than assume [7, 8] the electric field and then the ionic current in biological ... See full document

... Abstract. The transport and distribution of charged particles are crucial in the study of many physical and biological problems. In this paper, we employ an Energy Variational Approach to derive the coupled ... See full document

... The object of this paper is to develop a parallel finite element simulator for ion transport through ion channel systems. To our best knowledge, neither finite element algorithms, nor parallel numer- ical simulations for ... See full document

... Structural particles that are ions contribute to the electric field and therefore are also included in the Poisson equation (9) that calculates the ES potential experienced by the permeating ions. However, because ... See full document

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