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Proceedings Paper

Pattern formation in subexcitable media: interplay of noise and variability
Author(s): Erik Glatt; Martin Gassel; Friedemann Kaiser
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Paper Abstract

Starting with a subexcitable net of FitzHugh-Nagumo elements additive parameter-variability (diversity, heterogeneity) is able to induce pattern formation. The patterns are most coherent for an intermediate variability strength. Multiplicative variability is able to induce a transition to an excitable net dynamics. In the present paper the interplay of additive and multiplicative variability in subexcitable nets of FitzHugh-Nagumo elements is examined. It is shown that the diversity in the net leads to a coherent dynamics. The net can generate excitation waves, which spread through the whole net. Furthermore the response of the net with variability to a stochastic forcing (additive noise) is studied. Increasing the strength of the additive noise the net without variability shows spatiotemporal stochastic resonance. The noise strength for which the pattern formation sets in and the shape of the resonance curve strongly depend on the strength of the additive variability. For large values the effect of spatiotemporal stochastic resonance is destroyed. The coherence of the patterns in presence of additive noise and additive variability can be maximized by applying additionally multiplicative variability.

Paper Details

Date Published: 21 June 2007
PDF: 10 pages
Proc. SPIE 6602, Noise and Fluctuations in Biological, Biophysical, and Biomedical Systems, 66021F (21 June 2007); doi: 10.1117/12.724466
Show Author Affiliations
Erik Glatt, Darmstadt Univ. of Technology (Germany)
Martin Gassel, Darmstadt Univ. of Technology (Germany)
Friedemann Kaiser, Darmstadt Univ. of Technology (Germany)


Published in SPIE Proceedings Vol. 6602:
Noise and Fluctuations in Biological, Biophysical, and Biomedical Systems
Sergey M. Bezrukov, Editor(s)

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