Physics – Condensed Matter – Soft Condensed Matter
Scientific paper
2001-08-10
Physics
Condensed Matter
Soft Condensed Matter
10 pages, 7 figures, will be submitted to Phys. Rev. E
Scientific paper
10.1103/PhysRevE.65.051920
A model of mobile, charged ion channels in a fluid membrane is studied. The channels may switch between an open and a closed state according to a simple two-state kinetics with constant rates. The effective electrophoretic charge and the diffusion constant of the channels may be different in the closed and in the open state. The system is modeled by densities of channel species, obeying simple equations of electro-diffusion. The lateral transmembrane voltage profile is determined from a cable-type equation. Bifurcations from the homogeneous, stationary state appear as hard-mode, soft-mode or hard-mode oscillatory transitions within physiologically reasonable ranges of model parameters. We study the dynamics beyond linear stability analysis and derive non-linear evolution equations near the transitions to stationary patterns.
Kramer Stephan C.
Kree Reiner
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