Geometric singular approach to Poisson-Nernst-Planck models with excess chemical potentials: ion size effects on individual fluxes
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Publication:1667864
DOI10.1515/mlbmb-2017-0005zbMath1394.92046OpenAlexW2753803521MaRDI QIDQ1667864
Jianbao Zhang, Daniel Acheampong, Mingji Zhang
Publication date: 31 August 2018
Published in: Molecular Based Mathematical Biology (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1515/mlbmb-2017-0005
individual fluxesI-V relationsionic flowscritical potentialselectroneutrality conditionshard-spherePNP
Geometric methods in ordinary differential equations (34A26) Biochemistry, molecular biology (92C40) Singular perturbations of ordinary differential equations (34D15) Singular nonlinear boundary value problems for ordinary differential equations (34B16) Physiological flow (92C35)
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Ion size effects on individual fluxes via Poisson-Nernst-Planck systems with Bikerman's local hard-sphere potential: analysis without electroneutrality boundary conditions ⋮ Dynamics of classical Poisson-Nernst-Planck systems with multiple cations and boundary layers ⋮ Boundary layer effects on ionic flows via classical Poisson-Nernst-Planck systems ⋮ Dynamics of ionic flows via Poisson-Nernst-Planck systems with local hard-sphere potentials: competition between cations ⋮ Mathematical studies of Poisson-Nernst-Planck model for membrane channels: finite ion size effects without electroneutrality boundary conditions
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