We introduce a simple model for a set of interacting idealized neurons
. The model presents a self-organized state in which avalanches of all
sizes are observed and activity is detected in the whole extension of
the simulated system without a typical length scale. The basic elemen
ts of the model are endowed with the main features of a neuron functio
n. On this basis it is speculated that the collective system that they
form, i.e., the brain, could display self-organized criticality in so
me situations. (C) 1998 Elsevier Science B.V.