Regensburg 2004 – scientific programme
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AKB: Biologische Physik
AKB 50: Poster Session "Biological Physics"
AKB 50.1: Poster
Friday, March 12, 2004, 10:30–13:00, B
Spatial discreteness and stability of reaction-diffusion systems — •Rüdiger Thul and Martin Falcke — Hahn-Meitner Institut, Abteilung Theorie, Glienicker Strasse 100, 14109 Berlin
We present a novel approach to the dynamics of spatially discrete reaction-diffusion equations. The approach addresses systems with active regions on the submicrometer length scale arranged with distances of a few micrometers. The size of the active region is determined by the production of the diffusing substance. The linear stability analysis reveals that due to spatial discreteness, diffusion becomes one of the major determinants of the stability of the reaction dynamics. We illustrate this new approach with Ca2+ dynamics.