Noise can play an organizing role for the recurrent dynamics in excitable media.
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.
Muratov
Cyrill B
CB
Department of Mathematical Sciences and Center for Applied Mathematics and Statistics, New Jersey Institute of Technology, Newark, NJ 07102, USA. muratov@njit.edu
Vanden-Eijnden
Eric
E
E
Weinan
W
D000818:Animals; D004023:Dictyostelium / Q000502:physiology*; D008954:Models, Biological; D009622:Noise; D013269:Stochastic Processes