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Phys. Rev. Lett. 84, 4753–4756 (2000)

Dispersion Gap and Localized Spiral Waves in a Model for Intracellular Ca2+ Dynamics

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Martin Falcke, Michal Or-Guil, and Markus Bär
Max Planck Institute for the Physics of Complex Systems, Nöthnitzer Strasse 38, 01187 Dresden, Germany

Received 1 November 1999; published in the issue dated 15 May 2000

The dispersion relation is the dependence of the velocity of periodic planar wave trains on their wavelength. We study the occurrence of a velocity gap in the dispersion relation in a bistable three component reaction-diffusion system modeling intracellular Ca2+ dynamics. In two spatial dimensions, localized pinned spirals are observed, if their wavelength falls into the dispersion gap. Destruction of free spirals occurs already for conditions where the asymptotic planar wave train exists and the dispersion gap is absent.

© 2000 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.84.4753
DOI:
10.1103/PhysRevLett.84.4753
PACS:
82.40.Ck, 47.20.Ky, 47.54.+r, 87.18.Pj