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
An improved Poisson‐Nernst‐Planck ion channel model and numerical studies on effects of boundary conditions, membrane charges, and bulk concentrations
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Computational Chemistry"
DOI: 10.1002/jcc.26723
Abstract: In this paper, an improved Poisson‐Nernst‐Planck ion channel (PNPic) model is presented, along with its effective finite element solver and software package for an ion channel protein in a solution of multiple ionic species. Numerical… read more here.
Keywords: improved poisson; ion channel; model; ion ... 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
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
Bounds for systems of coupled advection-diffusion equations with application to the Poisson-Nernst-Plank equations.
Sign Up to like & getrecommendations! Published in 2022 at "Physical review. E"
DOI: 10.1103/physreve.106.044208
Abstract: We consider coupled systems of advection-diffusion equations with initial and boundary conditions and determine conditions on the advection terms that allow us to obtain solutions that can be explicitly bounded above and below using the initial… read more here.
Keywords: poisson nernst; advection diffusion; diffusion equations;
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
Fractional Calculus in Electrical Impedance Spectroscopy: Poisson – Nernst – Planck model and Extensions
Sign Up to like & getrecommendations! Published in 2017 at "International Journal of Electrochemical Science"
DOI: 10.20964/2017.12.61
Abstract: 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 response of an electrolytic cell. We… read more here.
Keywords: calculus electrical; planck model; nernst planck; fractional calculus ... See more keywords
Mathematical Analysis on Current–Voltage Relations via Classical Poisson–Nernst–Planck Systems with Nonzero Permanent Charges under Relaxed Electroneutrality Boundary Conditions
Sign Up to like & getrecommendations! Published in 2023 at "Membranes"
DOI: 10.3390/membranes13020131
Abstract: We focus on a quasi-one-dimensional Poisson–Nernst–Planck model with small permanent charges for ionic flows of two oppositely charged ion species through an ion channel. Of particular interest is to examine the dynamics of ionic flows… read more here.
Keywords: nernst planck; poisson nernst; permanent charges; current voltage ... See more keywords