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.

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@article{Leonetti2006ParitybreakingBA, title={Parity-breaking bifurcation and global oscillation in patterns of ion channels.}, author={Marc Leonetti and Johannes Nuebler and Fabrice Hombl{\'e}}, journal={Physical review letters}, year={2006}, volume={96 21}, pages={218101} }