Adapting to persistent changes in external drive to the recurrent network.

<p>Response of a non-adapting network and a network with HSE to a range of external excitatory input levels to both e-cells and i-cells. Since the number of external inputs and their frequency are interchangeable in our model, the external excitatory drive is expressed in the compound rate (in kHz). A: Median firing rate of e-cells (left) and i-cells (right) in a network without HSE. Error bars give 5%–95% percentiles. B: As in panel A for network with HSE. Dotted lines at 2 Hz (left) and 8 Hz (right) give target rates of e-cells and i-cells. C: Population mean of the e-cells (left) and i-cells (right) in the network with HSE. Error bars give standard deviation. D: Required ratio of adaptation time scales for stable adaptation dynamics when the network is perturbed from its adapted state characterized in panels B and C. The perturbation consists of a 0.3 kHz step increase of the external drive to all cells. The same criterium for stability of the adaptation dynamics is used as in <a href="http://www.ploscompbiol.org/article/info:doi/10.1371/journal.pcbi.1002494#pcbi-1002494-g002" target="_blank">figure 2</a>.