A Poisson-Nernst-Planck single ion channel model and its effective finite element solver

DOI10.1016/J.JCP.2023.112043OpenAlexW4323266547MaRDI QIDQ2699349

Dexuan Xie, Zhen Chao

Publication date: 26 April 2023

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2023.112043

zbMATH Keywords

finite element methodPoisson-Nernst-Planck equationssingle ion channelpotassium channelelectric current calculation

Mathematics Subject Classification ID

Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Numerical methods for partial differential equations, boundary value problems (65Nxx) Physiological, cellular and medical topics (92Cxx)

Related Items (1)

PNPSIC

Uses Software

• FEniCS
• WebPlotDigitizer

Cites Work

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• New solution decomposition and minimization schemes for Poisson-Boltzmann equation in calculation of biomolecular electrostatics
• Automated solution of differential equations by the finite element method. The FEniCS book
• An efficient finite element iterative method for solving a nonuniform size modified Poisson-Boltzmann ion channel model
• A finite element iterative solver for a PNP ion channel model with Neumann boundary condition and membrane surface charge
• An Effective Finite Element Iterative Solver for a Poisson--Nernst--Planck Ion Channel Model with Periodic Boundary Conditions
• Investigating the Selectivity of KcsA Channel by an Image Charge Solvation Method (ICSM) in Molecular Dynamics Simulations

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