Parity-breaking bifurcation and global oscillation in patterns of ion channels.
Stationary spatiotemporal pattern formation emerging from the electric activity of biological membranes is widespread in cells and tissues. A known key instability comes from the self-aggregation of membrane channels. In a two-dimensional geometry, we show that the primary pattern undergoes four secondary instabilities: Eckhaus-like, period-halving, drift instabilities, and a global oscillation. The stability diagram is determined. The parity-breaking (drift) bifurcation of channel density is characterized analytically and numerically.
Leonetti
Marc
M
IRPHE, Universités Aix-Marseille I and II, UMR CNRS 6594, Technopôle de Château-Gombert, 13384 Marseille Cedex 13, France.
Nuebler
Johannes
J
Homble
Fabrice
F
D001683:Biological Clocks / Q000502:physiology*; D002462:Cell Membrane / Q000737:chemistry* / Q000502:physiology*; D003198:Computer Simulation; D007473:Ion Channels / Q000737:chemistry* / Q000502:physiology*; D008564:Membrane Potentials / Q000502:physiology*; D008954:Models, Biological; D008956:Models, Chemical; D008958:Models, Molecular
D007473:Ion Channels