Self-sustained spatiotemporal oscillations induced by membrane-bulk coupling

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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.
Accepted for publication in Physical Review Letters

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Other Condensed Matter

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http://salesiana.dossiersoluciones.com/handle/123456789/127730

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/cond-mat/0703542
 http://arxiv.org/abs/cond-mat/0703542
 Phys. Rev. Lett. 98, 168303 (2007)

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arXiv