A new Poisson-Nernst-Planck model with ion-water interactions for charge transport in ion channels
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Publication:347032
DOI10.1007/s11538-016-0196-7zbMath1352.92012OpenAlexW2481506751WikidataQ48055153 ScholiaQ48055153MaRDI QIDQ347032
Publication date: 30 November 2016
Published in: Bulletin of Mathematical Biology (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11538-016-0196-7
Biochemistry, molecular biology (92C40) Biophysics (92C05) PDEs in connection with statistical mechanics (35Q82)
Related Items (4)
Fractional Poisson-Nernst-Planck model for ion channels. I: Basic formulations and algorithms ⋮ Optimal decay rates of the solution for generalized Poisson-Nernst-Planck-Navier-Stokes equations in \(\mathbb{R}^3\) ⋮ Boundary layer effects on ionic flows via classical Poisson-Nernst-Planck systems ⋮ Mathematical studies of Poisson-Nernst-Planck model for membrane channels: finite ion size effects without electroneutrality boundary conditions
Uses Software
Cites Work
- A mathematical model for the hard sphere repulsion in ionic solutions
- Second-order Poisson-Nernst-Planck solver for ion transport
- Differential geometry based multiscale models
- A multigrid method for the Poisson-Nernst-Planck equations
- Mean-field theory and computation of electrostatics with ionic concentration dependent dielectrics
- A new approach to the Lennard-Jones potential and a new model: PNP-steric equations
- A new minimization protocol for solving nonlinear Poisson-Boltzmann mortar finite element equation
- Poisson-Nernst-Planck equations for simulating biomolecular diffusion-reaction processes. I: Finite element solutions
- Quantum dynamics in continuum for proton transport II: Variational solvent-solute interface
- Singular perturbation analysis of the steady-state Poisson–Nernst–Planck system: Applications to ion channels
- Asymptotic Expansions of I-V Relations via a Poisson–Nernst–Planck System
- Variational Multiscale Models for Charge Transport
- Geometric Singular Perturbation Approach to Steady-State Poisson--Nernst--Planck Systems
- Efficient Algorithms for a Nonlocal Dielectric Model for Protein in Ionic Solvent
- Poisson–Nernst–Planck Systems for Ion Channels with Permanent Charges
- Modeling and computation of heterogeneous implicit solvent and its applications for biomolecules
- Two- and three-dimensional Poisson--Nernst--Planck simulations of current flow through gramicidin A
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