Singular perturbation analysis of the steady-state Poisson–Nernst–Planck system: Applications to ion channels

DOI10.1017/S0956792508007596zbMath1145.92010OpenAlexW2033681908WikidataQ42576365 ScholiaQ42576365MaRDI QIDQ3529504

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Publication date: 13 October 2008

Published in: European Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0956792508007596

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Biophysics (92C05) Physiology (general) (92C30) Cell biology (92C37) Computational methods for stochastic equations (aspects of stochastic analysis) (60H35) Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.) (60J70)

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Cites Work

• A Singular Perturbation Analysis of the Fundamental Semiconductor Device Equations
• Qualitative Properties of Steady-State Poisson--Nernst--Planck Systems: Perturbation and Simulation Study
• A Singularly Perturbed Boundary Value Problem Modelling a Semiconductor Device
• Geometric Singular Perturbation Approach to Steady-State Poisson--Nernst--Planck Systems
• Poisson–Nernst–Planck Systems for Ion Channels with Permanent Charges