ar X iv : 0 70 7 . 03 09 v 2 [ q - bi o . N C ] 1 3 Fe b 20 08 Dynamic range of hypercubic stochastic excitable media
نویسنده
چکیده
We study the response properties of d-dimensional hypercubic excitable networks to a stochastic stimulus. Each site, modelled either by a three-state stochastic susceptible-infected-recoveredsusceptible system or by the probabilistic Greenberg-Hastings cellular automaton, is continuously and independently stimulated by an external Poisson rate h. The response function (mean density of active sites ρ versus h) is obtained via simulations (for d = 1, 2, 3, 4) and mean-field approximations at the single-site and pair levels (∀ d). In any dimension, the dynamic range and sensitivity of the response function are maximized precisely at the nonequilibrium phase transition to self-sustained activity, in agreement with a reasoning recently proposed. Moreover, the maximum dynamic range attained at a given dimension d is a decreasing function of d.
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