Nonlinear Poisson-Nernst Planck Equations for Ion Flux through Confined Geometries

@inproceedings{Burger2010NonlinearPP,
  title={Nonlinear Poisson-Nernst Planck Equations for Ion Flux through Confined Geometries},
  author={Martin Burger and B{\"a}rbel Schlake and M-T Wolfram},
  year={2010}
}
The mathematical modelling and simulation of ion transport trough biological and synthetic channels (nanopores) is a challenging problem, with direct application in biophysics, physiology and chemistry. At least two major effects have to be taken into account when creating such models: the electrostatic interaction of ions and the effects due to size exclusion in narrow regions. While mathematical models and methods for electrostatic interactions are welldeveloped and can be transfered from… CONTINUE READING
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Showing 1-10 of 29 references

Coupling Poisson-Nernst-Planck and density functional theory to calculate ion flux

  • D Gillespie, W Nonner, R S Eisenberg
  • J. Phys: Condens. Matter, 14:12129–12145
  • 2002
Highly Influential
5 Excerpts

Semiconductor Equations

  • P A Markowich, C A Ringhofer, C Schmeiser
  • Springer, Wien, New York
  • 1990
Highly Influential
3 Excerpts

Elliptic Partial Differential Equations of Second Order

  • D Gilbarg, N S Trudinger
  • Springer- Verlag Berlin
  • 1977
Highly Influential
3 Excerpts

Generalizing Keller-Segel: Multi-species chemotaxis models with attraction and repulsion between competitive interacting species

  • D Horstmann
  • Technical report, University of Colone
  • 2009
1 Excerpt

Multi-species simple exclusion process

  • M J Simpson, K A Landmann, B D Hughes
  • Physica A, 388:399–406
  • 2009
3 Excerpts

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