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Figure 23 | The Journal of Mathematical Neuroscience

Figure 23

From: Interactions of multiple rhythms in a biophysical network of neurons

Figure 23

(a) An implementation of the network topology of Fig. 22 with three copies of the network of Fig. 9(a) and an RS cell. The three “input-1” (see also Fig. 9(a)) are independent, while the “input-2” that each SI cell is receiving is a delayed version of each other. The SI→RS synapses in this model are excitatory, contrary to the fact that the SI cells are considered inhibitory. (b) A more biologically realistic version of a subcomponent of the network in (a). To avoid having a cell with both an excitatory outgoing synapse and an inhibitory autapse (like the SI cells in (a)), we may consider a pair of cells, an excitatory (E) and an inhibitory (I) one. The E cell receives the inputs and provides the output, while at the same time projecting onto the I cell, and the I cell projects back to the E cell. Assuming that the I cell fires always immediately after the E cell, the pair of reciprocal connections (E→I and I→E) function effectively as self-inhibition for the E cell, playing the same role as an inhibitory autapse would. For simplicity, in the simulation of Fig. 24 we use the version of the network shown in (a)

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