Pattern formation in subexcitable media: interplay of noise and variability

Erik Glatt; Martin Gassel; Friedemann Kaiser

doi:10.1117/12.724466

21 June 2007 Pattern formation in subexcitable media: interplay of noise and variability

Erik Glatt, Martin Gassel, Friedemann Kaiser

Proceedings Volume 6602, Noise and Fluctuations in Biological, Biophysical, and Biomedical Systems; 66021F (2007) https://doi.org/10.1117/12.724466
Event: SPIE Fourth International Symposium on Fluctuations and Noise, 2007, Florence, Italy

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.

Citation Download Citation

Erik Glatt, Martin Gassel, and Friedemann Kaiser "Pattern formation in subexcitable media: interplay of noise and variability", Proc. SPIE 6602, Noise and Fluctuations in Biological, Biophysical, and Biomedical Systems, 66021F (21 June 2007); https://doi.org/10.1117/12.724466

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available