A stabilized finite volume element method for solving Poisson-Nernst-Planck equations.
Sign Up to like & getrecommendations! Published in 2021 at "International journal for numerical methods in biomedical engineering"
DOI: 10.1002/cnm.3543
Abstract: One difficulty in solving the Poisson-Nernst-Planck (PNP) equations used for studying the ion transport in channel proteins is the possible convection-dominant problem in the Nernst-Planck equations. In this paper, to overcome this issue, considering the… read more here.
Keywords: nernst planck; stabilized finite; solving poisson; planck ... See more keywords
Interior Electroneutrality in Nernst–Planck–Navier–Stokes Systems
Sign Up to like & getrecommendations! Published in 2021 at "Archive for Rational Mechanics and Analysis"
DOI: 10.1007/s00205-021-01700-0
Abstract: We consider the limit of vanishing Debye length for ionic diffusion in fluids, described by the Nernst-Planck-Navier-Stokes system. In the asymptotically stable cases of blocking (vanishing normal flux) and uniform selective (special Dirichlet) boundary conditions… read more here.
Keywords: planck navier; boundary conditions; electroneutrality; nernst planck ... See more keywords
Dynamics of Classical Poisson–Nernst–Planck Systems with Multiple Cations and Boundary Layers
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Dynamics and Differential Equations"
DOI: 10.1007/s10884-020-09861-4
Abstract: We study a quasi-one-dimensional classical Poisson–Nernst–Planck model for ionic flow through a membrane channel with two positively charged ion species (cations) and one negatively charged, and with zero permanent charges. We treat the model problem… read more here.
Keywords: dynamics classical; nernst planck; poisson nernst; classical poisson ... See more keywords
A Linearized Local Conservative Mixed Finite Element Method for Poisson–Nernst–Planck Equations
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Scientific Computing"
DOI: 10.1007/s10915-018-0727-5
Abstract: In this paper, a linearized local conservative mixed finite element method is proposed and analyzed for Poisson–Nernst–Planck (PNP) equations, where the mass fluxes and the potential flux are introduced as new vector-valued variables to equations… read more here.
Keywords: finite element; mixed finite; nernst planck; method ... See more keywords
Incorporating electrical double layers into reactive-transport simulations of processes in clays by using the Nernst-Planck equation: A benchmark revisited
Sign Up to like & getrecommendations! Published in 2018 at "Applied Geochemistry"
DOI: 10.1016/j.apgeochem.2017.10.018
Abstract: Abstract Owing to their low permeability clay formations are considered as potential host rocks for nuclear waste or as seals capping permeable reservoirs for storing unconventional gases. Clay materials such as bentonite are considered as… read more here.
Keywords: planck equation; reactive transport; nernst planck; transport ... See more keywords
Numerical analysis of current efficiency distributions in a protonic ceramic fuel cell using Nernst-Planck-Poisson model
Sign Up to like & getrecommendations! Published in 2020 at "International Journal of Hydrogen Energy"
DOI: 10.1016/j.ijhydene.2020.09.143
Abstract: Abstract Protonic ceramic fuel cells (PCFCs) operating at intermediate temperatures (400 °C~600 °C) are expected to demonstrate a high performance due to proton ( OH O · ) conductivity. However, the current efficiencies of PCFCs are bound… read more here.
Keywords: protonic ceramic; efficiency distributions; nernst planck; current efficiency ... See more keywords
Sensitivity and Selectivity of Ion-Selective Electrodes Interpreted Using the Nernst-Planck-Poisson Model.
Sign Up to like & getrecommendations! Published in 2018 at "Analytical chemistry"
DOI: 10.1021/acs.analchem.8b02659
Abstract: The Nernst-Planck-Poisson model is used for modeling the sensitivity and selectivity of ion-selective electrodes (ISEs) with plastic membranes. Two pivotal parameters characterizing ISE response are in focus: sensitivity and selectivity. An interpretation of sensitivity, which… read more here.
Keywords: sensitivity selectivity; nernst planck; sensitivity; planck poisson ... See more keywords
Mathematical analysis of Poisson–Nernst–Planck models with permanent charges and boundary layers: studies on individual fluxes
Sign Up to like & getrecommendations! Published in 2021 at "Nonlinearity"
DOI: 10.1088/1361-6544/abf33a
Abstract: This work focuses on a one-dimensional Poisson–Nernst–Planck system including small permanent charges for ionic flows with one cation and one anion through a membrane channel. Our main interest is to examine the qualitative properties of… read more here.
Keywords: individual fluxes; boundary layers; nernst planck; permanent charges ... See more keywords
Effects on I–V relations from small permanent charge and channel geometry via classical Poisson–Nernst–Planck equations with multiple cations
Sign Up to like & getrecommendations! Published in 2021 at "Nonlinearity"
DOI: 10.1088/1361-6544/abfae8
Abstract: We analyse a quasi-one-dimensional Poisson–Nernst–Planck system for ionic flow through a membrane channel with nonzero but small permanent charge. The system includes three ion species, two cations with the same valences and one anion. The… read more here.
Keywords: nernst planck; geometry; small permanent; permanent charge ... See more keywords
Nano-scale solution of the Poisson-Nernst-Planck (PNP) equations in a fraction of two neighboring cells reveals the magnitude of intercellular electrochemical waves
Sign Up to like & getrecommendations! Published in 2022 at "PLOS Computational Biology"
DOI: 10.1101/2022.09.07.506904
Abstract: The basic building blocks of the electrophysiology of cardiomyocytes are ion channels integrated in the cell membranes. Close to the ion channels there are very strong electrical and chemical gradients. However, these gradients extend for… read more here.
Keywords: equations fraction; poisson nernst; nernst planck; pnp equations ... See more keywords
Electroneutral models for dynamic Poisson-Nernst-Planck systems.
Sign Up to like & getrecommendations! Published in 2018 at "Physical Review E"
DOI: 10.1103/physreve.97.012411
Abstract: The Poisson-Nernst-Planck (PNP) system is a standard model for describing ion transport. In many applications, e.g., ions in biological tissues, the presence of thin boundary layers poses both modeling and computational challenges. In this paper,… read more here.
Keywords: system; boundary conditions; electroneutral models; nernst planck ... See more keywords