Self-sustained spatiotemporal oscillations induced by membrane-bulk coupling

Details Self-sustained spatiotemporal oscillations induced by membrane-bulk coupling Self-sustained spatiotemporal oscillations induced by membrane-bulk coupling

2007-03-21

arxiv.org/abs/cond-mat/0703542v1

Phys. Rev. Lett. 98, 168303 (2007)

Physics

Condensed Matter

Other Condensed Matter

Accepted for publication in Physical Review Letters

Scientific paper

We propose a novel mechanism leading to spatiotemporal oscillations in extended systems that does not rely on local bulk instabilities. Instead, oscillations arise from the interaction of two subsystems of different spatial dimensionality. Specifically, we show that coupling a passive diffusive bulk of dimension d with an excitable membrane of dimension d-1 produces a self-sustained oscillatory behavior. An analytical explanation of the phenomenon is provided for d=1. Moreover, in-phase and anti-phase synchronization of oscillations are found numerically in one and two dimensions. This novel dynamic instability could be used by biological systems such as cells, where the dynamics on the cellular membrane is necessarily different from that of the cytoplasmic bulk.

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