Mathematical studies of Poisson-Nernst-Planck model for membrane channels: finite ion size effects without electroneutrality boundary conditions

DOI10.1016/j.cam.2018.10.037zbMath1420.34072OpenAlexW2901565927WikidataQ128903195 ScholiaQ128903195MaRDI QIDQ2315903

Hong Lu, Mingji Zhang, Peter W. Bates, Rakhim Aitbayev, Li-jun Zhang

Publication date: 26 July 2019

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

Full work available at URL: https://doi.org/10.1016/j.cam.2018.10.037

zbMATH Keywords

individual fluxescritical potentialselectroneutrality conditionsPNP modelion sizeslocal hard-sphere potentials

Mathematics Subject Classification ID

Qualitative investigation and simulation of ordinary differential equation models (34C60) Singular nonlinear boundary value problems for ordinary differential equations (34B16) Singular perturbations for ordinary differential equations (34E15) Physiological flow (92C35)

Related Items (10)

Smooth and singular traveling wave solutions for the Serre-Green-Naghdi equations ⋮ Boundary layer effects on ionic flows via Poisson-Nernst-Planck systems with nonuniform ion sizes ⋮ Global existence of the non-isothermal Poisson-Nernst-Planck-Fourier system ⋮ Existence and local uniqueness of classical Poisson-Nernst-Planck systems with multi-component permanent charges and multiple cations ⋮ Finite ion size effects on ionic flows via Poisson-Nernst-Planck systems: higher order contributions ⋮ Small permanent charge effects on individual fluxes via Poisson-Nernst-Planck models with multiple cations ⋮ Geometric singular perturbation approach to Poisson-Nernst-Planck systems with local hard-sphere potential: studies on zero-current ionic flows with boundary layers ⋮ Mathematical analysis of Poisson–Nernst–Planck models with permanent charges and boundary layers: studies on individual fluxes ⋮ Studies on reversal permanent charges and reversal potentials via classical Poisson-Nernst-Planck systems with boundary layers ⋮ Qualitative properties of zero-current ionic flows via Poisson-Nernst-Planck systems with nonuniform ion sizes

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