TY - JOUR
T1 - Noise can play an organizing role for the recurrent dynamics in excitable media
AU - Muratov, Cyrill B.
AU - Vanden-Eijnden, Eric
AU - E, Weinan
PY - 2007/1/16
Y1 - 2007/1/16
N2 - We analyze patterns of recurrent activity in a prototypical model of an excitable medium in the presence of noise. Without noise, this model robustly predicts the existence of spiral waves as the only recurrent patterns in two dimensions. With small noise, however, we found that this model is also capable of generating coherent target patterns, another type of recurrent activity that is widely observed experimentally. These patterns remain essentially deterministic despite the presence of the noise, yet their existence is impossible without it. Their degree of coherence can also be made arbitrarily high for wide ranges of the parameters, which does not require fine-tuning. Our findings demonstrate the need to reexamine current modeling approaches to active biological media.
AB - We analyze patterns of recurrent activity in a prototypical model of an excitable medium in the presence of noise. Without noise, this model robustly predicts the existence of spiral waves as the only recurrent patterns in two dimensions. With small noise, however, we found that this model is also capable of generating coherent target patterns, another type of recurrent activity that is widely observed experimentally. These patterns remain essentially deterministic despite the presence of the noise, yet their existence is impossible without it. Their degree of coherence can also be made arbitrarily high for wide ranges of the parameters, which does not require fine-tuning. Our findings demonstrate the need to reexamine current modeling approaches to active biological media.
KW - Noise-induced coherence
KW - Stochastic resonance
KW - Target patterns
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U2 - 10.1073/pnas.0607433104
DO - 10.1073/pnas.0607433104
M3 - Article
C2 - 17210922
AN - SCOPUS:33846517798
SN - 0027-8424
VL - 104
SP - 702
EP - 707
JO - Proceedings of the National Academy of Sciences of the United States of America
JF - Proceedings of the National Academy of Sciences of the United States of America
IS - 3
ER -