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. 2012 Aug 29;7(8):e42719. doi: 10.1371/journal.pone.0042719

Figure 2. Mean field analysis of the model.

Figure 2

Mean field analysis of the model assessing the dependence of the network behaviour on the potentiated synaptic strength (Inline graphic) and the inhibitory synaptic strength (Inline graphic), for different initial conditions. A The initial firing rate conditions for pools showing high firing rates are derived from a Gaussian distribution with mean Inline graphic = 40 Hz and standard deviation Inline graphic = 0.01 Hz. The firing rates determining the initial conditions of pools in spontaneous states are obtained from randomly sampling a Gaussian distribution with mean Inline graphic = 3 Hz and standard deviation Inline graphic = 0.01 Hz. The colour code indicates the number of pools which settle on stable states showing persistently high firing rates (Inline graphic Hz) during the delay period when no further stimulation is provided. B Identical initial conditions as in A but one of the pools showing an initially high firing rate of 65 Hz. From left to right an increasing number of pools had high initial firing rates. Note that as a consequence of considering a hard boundary (i.e. Inline graphic Hz, used in subsequent studies) for values Inline graphic some apparent discontinuities may appear for increasing Inline graphic values, which in fact correspond to stable states with persistent firing rates just below the threshold. However, this does not occur in the region where our working point is located (Inline graphic, Inline graphic).