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Showing 1 to 6 of 6 for “"Nernst-Planck equations"”.
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A study of electrochemical transport and diffuse charge dynamics using a Langevin equation
… included continuum models based on the Poisson-Nernst-Planck equations and atomic simulations using molecular dynamics algorithms. Neither of them is easy to use or conducive to electrokinetic transport modeling in strong confinement or over long time scales. This work introduces a new approach …
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A study of electrochemical transport and diffuse charge dynamics in nanoscale devices using a Langevin equation
… included continuum models based on the Poisson-Nernst-Planck equations and atomic simulations using molecular dynamics algorithms. Neither of them is easy to use or conducive to electrokinetic transport modeling in strong confinement or over long time scales. This work introduces a new approach …
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Finite element methods for implicit solvent models
… Poisson-Boltzmann equation. The modified Poisson-Nernst-Planck equations model the dynamics of ions in solvated systems, while accounting for steric effects. We develop an efficient SUPG FEM method to prevent spurious values in regions there are high repulsive potentials. Our method takes into …
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Nonlinear electrokinetics of the bacterial cell envelope for applications in biomicrofluidics
… (soft layer) properties. Using the Poisson-Nernst-Planck equations for ion transport and Stokes equation for fluid flow, we model the electric double layer polarization within and outside the soft layers to calculate the polarizability for these two strains. Firstly, we demonstrate that soft …
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The Role of Time Variant Resistance and Electromotive Force in Ionic Systems Related to Cell Membranes: The Excitability Properties of Frog Skin and Toad Bladder
… of our analysis has been the fundamental flux equations of Nernst and Planck, which describe the movement of ions in solution subject to gradients of electrochemical potential. As a direct consequence of these equations, we have seen that the potential difference between two points in a …
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Computational analyses on the structure-function relation in ion channels
… is analyzed, by an approach based on the Poisson-Nernst-Planck electrodiffusion theory. In the electrodiffusion theory ion conduction is modeled by the drift-diffusion equations, thus describing the ion distributions by continuum functions. The numerical solver of the Poisson- Nernst-Planck …