Electrodiffusion phenomena in neuroscience and the nernst–planck–poisson equations
JJ Jasielec - Electrochem, 2021 - mdpi.com
This work is aimed to give an electrochemical insight into the ionic transport phenomena in
the cellular environment of organized brain tissue. The Nernst–Planck–Poisson (NPP) …
the cellular environment of organized brain tissue. The Nernst–Planck–Poisson (NPP) …
The boundedness-by-entropy method for cross-diffusion systems
A Jüngel - Nonlinearity, 2015 - iopscience.iop.org
The global-in-time existence of bounded weak solutions to a large class of physically
relevant, strongly coupled parabolic systems exhibiting a formal gradient-flow structure is …
relevant, strongly coupled parabolic systems exhibiting a formal gradient-flow structure is …
Mean field games with nonlinear mobilities in pedestrian dynamics
In this paper we present an optimal control approach modeling fast exit scenarios in
pedestrian crowds. In particular we consider the case of a large human crowd trying to exit a …
pedestrian crowds. In particular we consider the case of a large human crowd trying to exit a …
Efficient, positive, and energy stable schemes for multi-D Poisson–Nernst–Planck systems
In this paper, we design, analyze, and numerically validate positive and energy-dissipating
schemes for solving the time-dependent multi-dimensional system of Poisson–Nernst …
schemes for solving the time-dependent multi-dimensional system of Poisson–Nernst …
Inverse problems in ion channel modelling
M Burger - Inverse Problems, 2011 - iopscience.iop.org
This paper reviews several inverse problems related to biological ion channels and polymer
nanopores. Different problems arise at different scales and thus lead to different inversion …
nanopores. Different problems arise at different scales and thus lead to different inversion …
IonMonger 2.0: software for free, fast and versatile simulation of current, voltage and impedance response of planar perovskite solar cells
The second generation of the open-source MATLAB-based software tool IonMonger, for
solving drift–diffusion models of charge transport in planar perovskite solar cells, is …
solving drift–diffusion models of charge transport in planar perovskite solar cells, is …
[HTML][HTML] Analysis of degenerate cross-diffusion population models with volume filling
A class of parabolic cross-diffusion systems modeling the interaction of an arbitrary number
of population species is analyzed in a bounded domain with no-flux boundary conditions …
of population species is analyzed in a bounded domain with no-flux boundary conditions …
Accurate modeling of a biological nanopore with an extended continuum framework
Despite the broad success of biological nanopores as powerful instruments for the analysis
of proteins and nucleic acids at the single-molecule level, a fast simulation methodology to …
of proteins and nucleic acids at the single-molecule level, a fast simulation methodology to …
Multiscale analysis of the effect of surface charge pattern on a nanopore's rectification and selectivity properties: From all-atom model to Poisson-Nernst-Planck
We report a multiscale modeling study for charged cylindrical nanopores using three
modeling levels that include (1) an all-atom explicit-water model studied with molecular …
modeling levels that include (1) an all-atom explicit-water model studied with molecular …
From random walks on networks to nonlinear diffusion
C Falcó - Physical Review E, 2022 - APS
Mathematical models of motility are often based on random-walk descriptions of discrete
individuals that can move according to certain rules. It is usually the case that large masses …
individuals that can move according to certain rules. It is usually the case that large masses …