%0 Journal Article %T Triggering up states in all-to-all coupled neurons %A Hong-Viet V. Ngo %A Jan K£¿hler %A J£¿rg Mayer %A Jens Christian Claussen %A Heinz Georg Schuster %J Quantitative Biology %D 2010 %I arXiv %R 10.1209/0295-5075/89/68002 %X Slow-wave sleep in mammalians is characterized by a change of large-scale cortical activity currently paraphrased as cortical Up/Down states. A recent experiment demonstrated a bistable collective behaviour in ferret slices, with the remarkable property that the Up states can be switched on and off with pulses, or excitations, of same polarity; whereby the effect of the second pulse significantly depends on the time interval between the pulses. Here we present a simple time discrete model of a neural network that exhibits this type of behaviour, as well as quantitatively reproduces the time-dependence found in the experiments. %U http://arxiv.org/abs/1003.2111v1