An energetic variational approach to ion channel dynamics

DOI10.1002/mma.2852zbMath1302.35375OpenAlexW2011685552MaRDI QIDQ5415919

Chun Liu, Yunkyong Hyon, Bob Eisenberg

Publication date: 19 May 2014

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.2852

zbMATH Keywords

voltage clampion channelenergetic variational approachPoisson-Nernst-Planck equationrepulsive potentialfinite size effectdiffusive interface method

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Cell biology (92C37) Research exposition (monographs, survey articles) pertaining to partial differential equations (35-02) Mixed-type systems of PDEs (35M30)

Related Items (4)

Relative dielectric constants and selectivity ratios in open ionic channels ⋮ Permanent Charge Effects on Ionic Flow: A Numerical Study of Flux Ratios and Their Bifurcation ⋮ Superconvergent gradient recovery for nonlinear Poisson-Nernst-Planck equations with applications to the ion channel problem ⋮ Local averaging type a posteriori error estimates for the nonlinear steady-state Poisson-Nernst-Planck equations

Cites Work

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• A mathematical model for the hard sphere repulsion in ionic solutions
• Energy variational approach to study charge inversion (layering) near charged walls
• A phase field model for the mixture of two incompressible fluids and its approximation by a Fourier-spectral method
• Energetic variational approach in complex fluids: maximum dissipation principle
• A monotone finite element scheme for convection-diffusion equations
• A diffuse-interface method for simulating two-phase flows of complex fluids
• DIFFUSE-INTERFACE METHODS IN FLUID MECHANICS

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